diff --git "a/data/dm_maths/full_data_2/1376_11255.jsonl" "b/data/dm_maths/full_data_2/1376_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/1376_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Evaluate (5\/30)\/((-12)\/(-8)).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 518 a factor of 25362834?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.175, 0.1, 0.4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17*114\/(-6460))\/(4\/((-220)\/9))*6.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1242*m - 6502 - 13370 for m.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**2 - 6*m + 13. What is a(-8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2\/11 + 5409322*i\/11 - 10818652\/11.\nAnswer: 2*(i - 2)*(i + 2704663)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -m - 18. Suppose 0 = 3*i + 2*i. Suppose i = 2*w + 2. Which is smaller: w or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66.0185 rounded to 1 dp?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + (-28 + 1 + (-23 - -18) - -4).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20 and 15.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 749 + -740. Suppose t*x + 13076 = 16*x. What are the prime factors of x?\nAnswer: 2, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.0446 - 0.0276. What is the third smallest value in -67, -1\/4, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand q**2 + q**2 + 0*q**2 + (-q**2 - 24*q**2 + 2*q**2)*(-4 + 0 + 6) - 3*q + 3*q - q**2 - 2*q**2 + 3*q**2 + 2*q**2 + (-q + q - q)*(-2*q - 4*q + 7*q).\nAnswer: -43*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 - -11. Let x = 74 - 53. Calculate the remainder when (-2 + 166)*h\/2 is divided by x.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5449 * 2.22.\nAnswer: 12096.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (12\/(-8))\/((-1)\/(-14)). What is the remainder when 13 is divided by 2\/(-7) - 153\/g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15953314 a multiple of 1195?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -110.067 to the nearest 10.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**3 - n**2 - 1. Let v(j) = -7*j**3 - j**2 - 3*j - 3. Let i(q) = -6*t(q) + v(q). Calculate i(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 261*d + 2*d**2 - 168*d - 93*d.\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p**3 - 192 + 192)*(3*p - 4*p + 3*p).\nAnswer: 4*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 401 + -401. Solve f = m + 2 - 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000634 to 7 decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {e: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -27*r + 166. Let a be i(6). Solve 0 = -2*w + 2*s - 4*s + a, s - 3 = -2*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -6*h + 3. Let a(b) = -8*b + 4. Let t(y) = -4*a(y) + 5*l(y). What is t(-4)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 d, and 1 j when three letters picked without replacement from {r: 2, j: 2, n: 1, d: 6, b: 4}?\nAnswer: 48\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(2\/25)\/((r**5\/r*r*r)\/r))\/((r*r**0*r)\/(r\/(r**4*r)*r*r))*(r**6\/r*(r**6\/r)\/r*r)**(-5) assuming r is positive.\nAnswer: r**(-1473\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 40 = 5*j - 5*j for j.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-4\/3))**(-22) assuming j is positive.\nAnswer: j**(88\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 9*m**2 + 5*m - 1687. Let v(y) = 5*y**2 + 3*y - 838. What is -4*f(d) + 7*v(d)?\nAnswer: -d**2 + d + 882","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1072 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5240?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - 0 - (-16 + 14 - 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/8 or -45?\nAnswer: -45","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 4 + 0)*(-r + 1 - 1) - 39*r - 66 - 63 + 128 to h*r + s and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 912\/(-399) - 93330\/(-41769).\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1559141 is divided by 1617.\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -20 - -29. Suppose v = -6*l + 129. What is the remainder when l is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**3 - 12*f**2 - 20*f + 11. Let d be m(-10). Suppose h - 5*x = d, -2*x = h - 4*x - 8. Is 6 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 - 64 - 177*((-8)\/36)\/(2\/3)?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 48.95 - 5.38. Let v = 0.1506 + -44.1506. Let n = m + v. Round n to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 1427.\nAnswer: 2\/1427","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 262011?\nAnswer: 3, 87337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1138)\/(-22) + 567\/2079. Solve -m*p + 75*p = -115 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * 0.283275\nAnswer: 0.0283275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*t + 0*t - 5*t)*((-2 + 2 - 1)*(-5 - 1 + 4) - 2 - 2 - 2 + (-4 + 2 + 3)*(3 + 0 - 5) - 2 - 2 + 6 + 20 + 76 + 43) to the form d + i*t and give i.\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 504 and 751569.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 324113 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 749, 749, 747, 743, 737, 729, 719?\n\"Answer: -x**2 + 3*x + 747","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2*((-3)\/2 - 0). Suppose 32\/7*l**2 - 50\/7*l**4 + 10\/7*l**g + 0 + 8\/7*l = 0. Calculate l.\nAnswer: -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4686490879?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve t = -3*n - 18, 250*t = -3*n + 246*t - 27 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (24 - (13 + -1)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 320917981?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -283640800 rounded to the nearest one hundred thousand?\nAnswer: -283600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -159 greater than or equal to 985?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 275 = 5*a + 75. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - -6701637004.\nAnswer: 6701637002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*(w**(2\/27)\/w)\/w)\/w)**(-43)*((((w*(w**(-1\/3)*w*w)\/w)\/w)\/w)\/w*w*w)**50 assuming w is positive.\nAnswer: w**(3136\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(240)*-1)\/sqrt(12))\/((-1*sqrt(40))\/sqrt(10) - sqrt(4)).\nAnswer: sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 93 divide 328124?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**2 - 8*d - 5. Let v be n(9). Let o = 9 - v. Suppose -14 = -q - o. Solve 4*m - f = -9, m + q = -2*m + 3*f for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.2 + -1.2. Let k be (-5)\/(-14)*(-408)\/(-340). What is the smallest value in k, c, 7?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 - 352*o**2 - 9935*o - 2774. What is a(-26)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*l + l + 2*l)*(0*l - l - l) - 2*l - 81434*l**2 + 2*l + 83725*l**2 as r + i*l**2 + f*l and give i.\nAnswer: 2289","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -960 + 965. Which is smaller: p or 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*n**4 + 5678682*n**3 - 937915193*n**2?\nAnswer: -72*n + 34072092","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes after 7:28 PM?\nAnswer: 2:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-27)\/10287*-127)\/(-1 + (-68)\/(-69))\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 66.23388 hours to days.\nAnswer: 2.759745","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3222 - -3221. Let v = 143 + -1285\/9. What is the nearest to s in 10, v, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (4 + 4 + -2*sqrt(13) + -3)*3.\nAnswer: -6*sqrt(13) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20*v**3 - 45 - 13*v**3 - 12*v**3 - 35*v**2 - 75*v.\nAnswer: -5*(v + 1)*(v + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 107 and 24931?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 x when two letters picked without replacement from {p: 6, q: 7, x: 2}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v\/v**(-1)))**24*v\/(v*(v\/((v*v**(3\/4))\/v))\/v*v)*v**4*v**(-7)\/v**(-5)*(v*v\/v**2)**47 assuming v is positive.\nAnswer: v**(-89\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3921 - 3920. Solve 5*a - b = -21 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*a**2 + 0*a**2 - a**2 + (2 - 1 + 2)*(2*a**2 - 3*a**2 + 2*a**2) to r*a + m*a**2 + y and give m.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*w + 3707*u - 3718*u + 47, -u - 13 = -3*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*q**6 + 34*q**3 + 253*q**2?\nAnswer: -360*q**3 + 204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**2 - 2*u - 2. Determine r(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eleven quarters of a decade?\nAnswer: 330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -138*s**2 + 2*s. Let q(r) = 3*r. Determine z(q(i)).\nAnswer: -1242*i**2 + 6*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 12*18640\/(-30) - -2. Let n = f - -25851. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2031, -6827, -14821, -26013, -40403, -57991, -78777?\n\"Answer: -1599*y**2 + y - 433","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (15*816\/324)\/((-110)\/(-66)). Factor 2\/3*v**2 - 22*v - c.\nAnswer: 2*(v - 34)*(v + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -10, -49, -160, -379, -742, -1285, -2044?\n\"Answer: -6*q**3 + 3*q - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10430440 + -1212?\nAnswer: 10424223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 48 - (162 + -73) - -14.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1516\/9 + -169. Let y = 8\/9 + s. Let v(n) = -12*n - 140. Let z be v(-12). What is the biggest value in -4, y, 0.2, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u - u + 6. Let y be 22\/8 + (-3)\/(-12). Let t = y + 0. Is u equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92 - 52 = -9*a. Suppose a*g - 7917 = 3*g. What are the prime factors of g?\nAnswer: 3, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 5*l - 8, 4*l - 7 = -j - 2*j. Let y(s) = -s**3 + 7*s**2 + 7*s - 12. Let i be y(8). Let k be (32\/i)\/(3 + (-13)\/5). Which is smaller: k or j?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(17)*-4 - (sqrt(17) - (sqrt(51)\/(sqrt(15)\/sqrt(5)))**2)) + 2*(sqrt(17) + (sqrt(2448) + -1)**2) + 5.\nAnswer: -51*sqrt(17) + 4921","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 56 and 236?\nAnswer: 3304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 97357248 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2c (base 14) in base 13?\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 34\/13, 2\/55, 0, 3.\nAnswer: 0, 2\/55, 34\/13, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3\/8 and (-3 - 29\/6)\/(-1 - 16).\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - 1 + 13. Let u(g) = g**2 + 9*g + 20. Let t be u(m). Suppose 0 = t*k + 3*k - 180. What is the highest common divisor of 9 and k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7731.84 minus 221584378?\nAnswer: -221592109.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of m**2*o**2*r*t - 6*m**2*o**2*t - m**2*o*r - 12*m*o**2 - 7*o*r*t - 87*r*t wrt o?\nAnswer: 2*m**2*r*t - 12*m**2*t - 24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(144) + sqrt(144))\/sqrt(12) - (4 + (sqrt(3)*-2 - sqrt(3)) + -4)) + 5 + 3)**2.\nAnswer: 16*sqrt(3) + 67","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 121758165811 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.5 and -1015.\nAnswer: -1522.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9546370 is divided by 26.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -87*h. Let s(z) be the third derivative of z**5\/60 + 332*z**2. Give f(s(b)).\nAnswer: -87*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 339202 and 4154?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 6*x**2 + 5*x - 10. What is j(-4)?\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 329 = -49. Suppose 2*a = 7*a - d. Suppose -4*v + 5*v = 39. Solve 0 = 5*c + a - v for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 73*m**2 + 5 - 837*m**2.\nAnswer: -910*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-211)\/13 - (-9 - 24 - -20).\nAnswer: -42\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.6 - 6.6. Let x = z + 6. Let l = x + 2. Put l, 3\/8, 0.1 in ascending order.\nAnswer: 0.1, 3\/8, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 28*p - 236*p**2 - 43*p - 43*p - 5*p wrt p.\nAnswer: -472","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/18 and 62\/1683.\nAnswer: 3366","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0040130207 rounded to three dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**2 - 16*u + 3. Let j be y(-16). Solve j = -z - 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**3 + 2*j**2 - 2*j - 1. Let m = 9 + -16. Let r(u) = -u**3 - 6*u**2 + 5*u - 17. Let s be r(m). Calculate n(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and -1.169.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11921 divided by 917.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*x + 3*x - u - 6, 5*u = 0. What is the remainder when 1\/(x\/354*-3*1) is divided by 19?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -198343 (base 10) to base 15.\nAnswer: -3db7d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6566, 6567, 6568, 6569?\nAnswer: 6570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2031962320 or 2031962321?\nAnswer: 2031962321","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g - 142 = -12*g + 10 for g.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -802.4 - -803. Let l = 4 - 3.7. Let a = l - 0.2. What is the closest to a in x, 0, -1\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 5*q - 9*q + 0*q - q + 4*q + 83. What is the least common multiple of h(8) and 15?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 781*m**2 - 10*m + 10. Is d(-9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 1026 + 646 = p, -4*j + 2224 = 4*p. Suppose -3*k - 1721 = -5*x, 2*x = k + 131 + j. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -3 - 0. Suppose 8*s - p*s - 60 = 0. Let g be ((-1)\/(-5))\/((-3)\/s). Which is the biggest value? (a) g (b) 0.4 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**2 - 7*n + 2. Let j be m(6). Which is the second smallest value? (a) -3 (b) j (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 51 and 3043.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 18346*k - 53728 wrt k?\nAnswer: 18346","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**5 - 10*i**4 - 22*i**3 + 66*i**2 - 36*i.\nAnswer: 2*i*(i - 6)*(i - 1)**2*(i + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -80, 3, -0.5, -1, -0.3, -4 in decreasing order.\nAnswer: 3, -0.3, -0.5, -1, -4, -80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 29*v**2 + 2. Let m(n) = 378*n**2 + 27. Determine 27*l(z) - 2*m(z).\nAnswer: 27*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 158391.4 to the nearest one hundred.\nAnswer: 158400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 30068*i - 30068*i - 878*i**2 to l*i**2 + y + q*i and give l.\nAnswer: -878","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1748550016.\nAnswer: 2, 13660547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6.65 - 8.65. Sort -3, c, -3\/5, -0.3 in increasing order.\nAnswer: -3, c, -3\/5, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 2*s**3 + 4*s**4 - 8*s**4 + 12*s**2 + 2*s**4 to k*s**2 + x + t*s + y*s**4 + j*s**3 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 19017174779 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a**3\/2 + 48*a**2 - 1536*a + 16384 = 0 for a.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12*y**3 - 3*y**4 + 12*y**3 + (0*y**3 + 0*y**3 + 2*y**3)*(0*y + 4*y + 2*y) + 33*y**4 + 21*y**4 + 89*y**4.\nAnswer: 152*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 146417482 and 106?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -7*d - 30. Suppose 3*l + 30 = -3*l. Let v be f(l). Solve v*g + 20 = g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2320 (base 5) in base 13?\nAnswer: 1ca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 70 (b) 3 (c) -30\/2263\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1826 = 458*h - 292*h for h.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nxnknxkkkk. What is prob of picking 3 n?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = l - 68. Calculate the highest common divisor of l and 84.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(80) + sqrt(80) + 1 + 4))**2.\nAnswer: 2880*sqrt(5) + 12420","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -145 + 211. What is the tens digit of 7\/(105\/40)*h\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1)\/(-1))\/(2\/152)*1. List the prime factors of 95907\/133 - (0 - (-8)\/q).\nAnswer: 7, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 88 divided by 3.\nAnswer: 88\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -360*n + 230*n = 390 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/90*-5)\/(-13*(-5)\/180).\nAnswer: 24\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 6860868920 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -2*x**2 + 2*x + 1. Let g(q) = 7*q**2 - 6*q - 3. Let h(r) = -6*g(r) - 17*m(r). Find the common denominator of h(-2) and -11\/21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**2. Let u(v) = 224*v + 392. Let n(d) = d + 2. Let q(h) = 588*n(h) - 3*u(h). What is x(q(s))?\nAnswer: 7056*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/(7\/2 - 2). Let m(w) = -w**2 - 4*w. Let d be m(a). Suppose 5*f - 23 = -2*v, -v + d*f + 4 + 1 = 0. Calculate the remainder when 24 is divided by v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-64)\/(-24)*(-195)\/(-104). Solve 0 = 2*h - 2*t - 2, 15 = y*h - 4*t + 7 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9481?\nAnswer: 19, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 1780*g**2 - 811*g + 3227. What is the ten thousands digit of y(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 762*m**2 - 32*m - 28342. Let q(u) = 143*u**2 - 6*u - 5668. Calculate -16*q(o) + 3*t(o).\nAnswer: -2*o**2 + 5662","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i. Let m be (-5)\/((-3)\/3 - 0). Suppose m*g + 2*g = 14. Let u(o) = -4*o. Calculate g*l(d) - u(d).\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/11 (b) -5\/3 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -b442 - 4?\nAnswer: -b446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 10192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -4567792 smaller than -4567792?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(95) + (sqrt(95) + 2*sqrt(95) + sqrt(95) + sqrt(95))*-5 - -2*sqrt(95)*2)*-5)\/(sqrt(55)\/(sqrt(55)\/sqrt(5)) + (sqrt(605) - 2*sqrt(605))).\nAnswer: -10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 j, and 1 b when three letters picked without replacement from eeseejvhbeevvhs?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32 - 15 - (3 + -2 + 5).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1537.\nAnswer: 29, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**2 - b + 111. Is h(0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/104104 and -56\/33.\nAnswer: 312312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16739?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/6 and (-498)\/793 + 19\/(-247).\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*y - 4*n - 6 = 10*y, 4*y + 12 = n for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cmde when four letters picked without replacement from {m: 1, e: 1, c: 2, d: 3}.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the first derivative of m**6\/1980 - m**4\/132 - 5*m**3\/3 - 2. Let f(l) be the third derivative of h(l). Factor f(o).\nAnswer: 2*(o - 1)*(o + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 860 + -511. Is y a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 48*z - 115. Let f(p) = -72*p + 174. Let o(i) = 5*f(i) + 8*y(i). Give o(8).\nAnswer: 142","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (1 + 4 - (-7 + 46 - 17)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -50*a**3\/11 + 120*a**2\/11 + 918*a\/11 + 972\/11 = 0.\nAnswer: -9\/5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00323263 rounded to 5 dps?\nAnswer: -0.00323","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, 75840, 5, 2, -2, -52 in decreasing order.\nAnswer: 75840, 5, 2, 0, -2, -4, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vovvvovv. What is prob of picking 1 v and 1 o?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 4*v + 6 = 0. What is the closest to 2 in -2\/5, 0, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 1586884?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12903?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6\/2 - 5) + 34. Let t = 8 + q. Let x be (3\/4)\/(5\/t). Calculate the greatest common divisor of 24 and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/2*z**4 - 7*z**3 + 63\/2 - 57*z + 32*z**2.\nAnswer: (z - 7)*(z - 3)**2*(z - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, 1\/9, 2.42?\nAnswer: 2.42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -31.987 - -32. Round u to two dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.868061 decades in months?\nAnswer: 1184.16732","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**2 + 464*n + 8204. Give l(-17).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*h + 4*d + 4, 117*h + 2*d + 26 = 122*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 806*u - 289 = 789*u. What is the greatest common divisor of u and 833?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 a when two letters picked without replacement from eeeeeeea?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n when three letters picked without replacement from {x: 5, m: 2, n: 7}?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 43275007 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -34 + 12.4. Let f = x - -21. Let b = 3.4 - f. Sort 2, -5, b in decreasing order.\nAnswer: b, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 23 + -2303?\nAnswer: -2220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 209219519*j**2 - 18*j + 235327 wrt j.\nAnswer: 418439038","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ab when two letters picked without replacement from {a: 6, b: 2, o: 7}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -5*s - 8. Let p be (-89)\/7 + 4\/(-14). Let z(u) = 11*u + 17. Let o be ((-24)\/(-28))\/((-1)\/(-7)). Let f be (-4)\/(-3 - (-22)\/o). Give f*z(t) + p*i(t).\nAnswer: -t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*r + 13*r. Is r at most 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 37 + -22. Suppose -3 = -3*r + p. Is 6 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w. Let u(l) = -2*l**2 - 4*l - 1. Let o(k) = -6*p(k) + u(k). What is o(1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(133) + sqrt(133) + 2*sqrt(133))*5 + 1*sqrt(133)*-2)\/(-2*(sqrt(700) - sqrt(700)*2)).\nAnswer: -4 + 9*sqrt(19)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*q - 24 = 48 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4357 - 4356.99990859. Round g to 6 decimal places.\nAnswer: 0.000091","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 - -44?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 184640 at least as big as 184641?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -45 + 96. Let a be ((-13)\/(-13))\/((1 - -2)\/6). Let r(w) = -106*w**2 - 5*w + 57*w**a + o*w**2. Give r(4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -122 - -614\/5. Put 0.2, c, 0 in decreasing order.\nAnswer: c, 0.2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1811821, -7247287, -16306397, -28989151, -45295549, -65225591, -88779277?\nAnswer: -115956607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 + a)*(a**2 - a + a) + (6*a**2 - 6*a**2 - 3*a**3)*(-423 + 904 - 754) + 0*a**3 - 2*a**3 - 4 + 0 to l + g*a + m*a**3 + s*a**2 and give m.\nAnswer: 818","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 204 + 5016. Let h be (-36)\/p + (-1)\/5. Which is smaller: h or 0?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -36641113, -73282228, -109923345, -146564464, -183205585, -219846708?\n\"Answer: -q**2 - 36641112*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3c798 (base 14) in base 7?\nAnswer: -1162251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 1 + sqrt(242) - (sqrt(242) + -3*3*sqrt(242)))**2.\nAnswer: -594*sqrt(2) + 19611","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 29393.24 decades?\nAnswer: 293932.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**3 - 41*z**2 - 203*z + 245. Let q be o(-35). Factor 2\/15*c**2 + 4\/15*c - 2\/15*c**3 + q.\nAnswer: -2*c*(c - 2)*(c + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3135 + 23?\nAnswer: -3112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*-4*(-24)\/32.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4411202 is divided by 1102798?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 689401243 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1354*k + 1281*k + 2318 = 2757*k for k.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*4*sqrt(245) - (sqrt(245) - (-1 + -4*sqrt(245)))**2)*-4.\nAnswer: -392*sqrt(5) + 24504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*r**2 + 3*r**2 - 11*r**2.\nAnswer: -12*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-8)\/(-36) + ((-1528)\/396 - -1) and 62\/5.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*b = 3*b + 3*x + 3, 2*x + 4 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1217?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 4 times -250.3746\nAnswer: -1001.4984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 12534583 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**2 - 3*b - 5. Let a be d(5). Calculate the common denominator of ((-2)\/(-8))\/(a\/(-78)) and 332\/8*-1*(-2)\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + 4*x + 7*y - 30 = 11*x, -12*x - y + 19 = 139 for x.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*n + 2*n**2 + 5*n + 25*n.\nAnswer: 2*n**2 + 19*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) + 0)*-3.\nAnswer: -9*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13863 - 8026. What is the highest common factor of 13 and f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (113 + 40)*((-70)\/7)\/(-90)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6d7 - -15?\nAnswer: 70c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 11900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a century in months?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - 4*n - 8098 - 22258, 5*a - 151666 = n. List the prime factors of a.\nAnswer: 2, 7583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 379345018.\nAnswer: 2, 13, 787, 18539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -4\/85, -2, 0.03 in ascending order.\nAnswer: -2, -0.4, -4\/85, 0.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 11 - -1) + 5 + 5 + -10.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 6524 * 0.5\nAnswer: 3262","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -3\/8, 5, -10.3, 3\/4 in descending order.\nAnswer: 5, 3\/4, 0.4, -3\/8, -10.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 3*n - 14, -5*t + 18 = -2*n - 0*n. Let v be (2 + -1 - t) + (-1 - -18). Suppose 463 = 4*c - 113. Calculate the highest common divisor of c and v.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(204)\/sqrt(3) - sqrt(17)) + -2 + sqrt(51)\/sqrt(3) + sqrt(17))**2.\nAnswer: -12*sqrt(17) + 154","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5186 or -5183?\nAnswer: -5186","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the first derivative of 17*i**3\/3 - i**2\/2 + 2*i + 2. Let d be l(3). What is the highest common factor of d and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -223330 + 1003201?\nAnswer: 113211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyycoyyxylnnyl. Give prob of sequence col.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 893 is divided by 268.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1125 + 150 = -25*v. Differentiate v - 2*c**2 + 4*c**2 - 6*c**2 + 5*c wrt c.\nAnswer: -8*c + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 168 by -1203377.\nAnswer: -24\/171911","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2200 + 2013111312?\nAnswer: 2013120112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -19 in -3\/1522, 0.1, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1d9327 (base 15) in base 3?\nAnswer: -2201121002101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-63)\/(-6)*(-8)\/6. Let o = -2 - u. Suppose -2*z = -5*z + o. Calculate the remainder when z is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:24 PM and 5:19 PM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*d**2 + 2*d**2 + 0*d**2 + (-d - 3*d + 2*d)*(6*d + 0*d - 4*d))*(-7*d**2 + 6*d**2 - 7*d**2).\nAnswer: 48*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**2 - 3*w + 4. Suppose -3*r - 7 - 41 = 0. Let f = r - -13. Let b be q(f). Solve 2*t - t = -b, 3*t = 3*o - 3 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 57 - 41. Let v = -12060 - -12092. Calculate the remainder when v is divided by x.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-two fifths of a litre?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the first derivative of 0*b - 36 + 0*b**2 - 4\/3*b**3. Let p(c) = c - 6. Let r(n) = 2*n - 11. Let x(d) = 11*p(d) - 6*r(d). Give x(f(v)).\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 4*k**2 + 23. Let s(j) = -289*j. What is d(s(a))?\nAnswer: 334084*a**2 + 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 - 6. Let k = 1025 - 955. Let d = k - q. What is the remainder when d is divided by 36?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s + 15. Let k be g(-12). Suppose -5*q - 25 = 0, j + k*q - 36 - 141 = 0. Suppose -2*v = -p - 237, -663 + j = -4*v - p. List the prime factors of v.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7.646 + 7.40364. Let a = -0.243 - t. Round a to 4 decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**2 + x - x. Let w be ((-4)\/(-6))\/(6\/45). Let m(p) = -9*p. Let v(u) = -6*u. Let f(b) = w*m(b) - 7*v(b). Give f(j(n)).\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.057 - 20.943. Which is smaller: 3 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 18\/(-4) - (-1)\/2. Calculate the smallest common multiple of -3*-14*(3 - 24\/9) and (-7)\/(10\/b + 2).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s + 111. What is the remainder when n(0) is divided by 31?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 42 + -41. Do 1\/12 and j have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/312 and 133\/156?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -191 + 408b7?\nAnswer: 40726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 3*z - 12, 8 = 3*z + 2*a - 3*a. Solve -5*p + z*p + 10 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one twentieth of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -72 - ((28 - 26) + -51)\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-10)\/15 - (-22)\/6. Let l(s) = s**2 - 4*s - 2. Let c be l(x). Let b(z) = -6*z. List the prime factors of b(c).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24068567 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x. Let g(p) = 17*p**2 - 2*p - 5. Determine -g(l) - 2*h(l).\nAnswer: -17*l**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -t**3 - 2 - 23 - 14.\nAnswer: -t**3 - 39","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/4*(24 + -122). Let g = x + 62. What is the common denominator of 95\/24 and ((-255)\/4)\/(-6 + -2 - g)?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1280\/(-55) - -35) + -5*24\/(-440)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 216459 is divided by 97.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5.4 or 46?\nAnswer: 5.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 103416 to the nearest integer?\nAnswer: 322","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -c3 + 2?\nAnswer: -c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(-28)\/35*(598\/4)\/(-13)?\nAnswer: -46\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 8 + -5 + 10\/10 - (-10983)\/(-2784) and -125\/348.\nAnswer: 2784","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 584 - 533. Solve j = -g + 52 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -40*m + 5. Is h(-12) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -r**2\/6 - 18430*r\/3 - 36859\/6 = 0?\nAnswer: -36859, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-7))**(2\/47)\/(v**0\/v*v*v*v**14) assuming v is positive.\nAnswer: v**(-719\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1175887?\nAnswer: 1175887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54587430?\nAnswer: 2, 3, 5, 606527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 + -37 - 13 - (9 + -1 + -1).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -840*a**2 + 2*a. Let k(m) = -4208*m**2 + 11*m. Calculate 6*k(n) - 33*v(n).\nAnswer: 2472*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**3 - 2 + 5*m - 2*m**2 + 6 - 2. Let b be (-1)\/18 - (-9275)\/(-3150). Determine j(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 692511886 divided by 31259\nAnswer: 22154","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/10 + (172\/(-10))\/2. Let x be (-142)\/(-9) + 3 - j\/36. Let s = 27 - x. Let i(q) = -q**3 + 9*q**2 - 10*q + 12. What is i(s)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 28 = 10*k - 11*k, -k + 2*c + 25 = 0. What is the highest common divisor of 54 and k?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -3*s**2 - 3*s - 5. Let a(o) = 2*o**2 + 2*o + 38 - 35 - o. Let p(w) = -5*a(w) - 3*x(w). What is p(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*h**2 - h + 4*h**2 - 3*h**2)*(-2 + 3 + 2)*(-6*h + 13*h + 9*h)*(-8*h + 0*h + 6*h - 2) as m*h + p + j*h**4 + q*h**2 + i*h**3 and give q.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t*t\/(t\/(t**(-3\/7)*t)))\/t)\/t)\/t**(1\/7))\/(((t*(t*t\/((t*t\/(t*t*t**1*t)*t*t*t)\/t)*t)\/t)\/t)\/(t\/(t\/t**(1\/2)))) assuming t is positive.\nAnswer: t**(-29\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 8*h + 15 = -l, -3*l + 2*h - 5 = 0. Let q = -1448\/5 + 13277\/45. Let m = q + -16\/3. Which is smaller: m or l?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**2 - 15*k - 7. Calculate v(15).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/200 and -89\/1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.4 - 1.6. Let k = -461.92 - -472. Let o = k + -10. Which is the biggest value? (a) d (b) o (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-22)\/(-6) - 6\/9. Let u(h) = h**3 + 4*h**2 + 3*h + 3. Let j be u(-3). Suppose k*w - 45 = -j*v, w + v - 54 = -3*w. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*n + 2*g + 10, 11*g - 8*g = 4*n + 6 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -253 - -154. Let n = -152 - a. Let o = n + 53.0000021. What is o rounded to 7 dps?\nAnswer: 0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -823 less than 1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -37, -21, -1, 23, 51?\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -48 and 1.3.\nAnswer: -62.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/(-5) + (-14 - 2245\/(-150)). Which is the third biggest value? (a) i (b) 1\/2 (c) 0.04 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the first derivative of 2*u**2 - 10*u + 10. Let l be y(3). Suppose l*x + 2 = 0, -2*q = q + x - 41. What is the remainder when 24 is divided by q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7403 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/4, 4.5, 0?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 620721718.\nAnswer: 2, 239, 1298581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 - (-4)\/36*-9. Let c = 12 - 6. Let b = x - c. Sort 3, b, -4 in descending order.\nAnswer: 3, -4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**2 - 4*v - 7. Let z be l(6). Suppose 4*b - c + 6 = 1, 3*c = -z*b - 2. What is the closest to b in 2, -0.5, 0.3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - (6 - 9 - -1).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17.1 - -16.1. What is the biggest value in -4, 0, -0.4, i?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 49, 59, 81, 121, 185, 279, 409, 581?\nAnswer: 801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from seeqqeqseaseqeqe. Give prob of picking 3 e and 1 s.\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3734140 rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.07173 or -0.1?\nAnswer: 0.07173","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(320) + 2 + (sqrt(35)\/sqrt(7))**2 + 4 + (sqrt(330)\/(2*sqrt(11)))\/(-2*sqrt(384) + sqrt(6) - sqrt(6)).\nAnswer: 11 + 255*sqrt(5)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1283 - 1283.3. Put -2.4, 2, -8, w in decreasing order.\nAnswer: 2, w, -2.4, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 29157376 to the nearest integer?\nAnswer: 308","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.0685 - 0.3685. Let t be ((-4)\/12)\/(-4 + 3). What is the third biggest value in t, -0.07, 3, c?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes after 5:21 PM?\nAnswer: 4:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2200979 is divided by 504?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*r**3 - 25*r**2 - 26*r - 19*r - 55*r - 49*r**2.\nAnswer: 2*r**3 - 74*r**2 - 100*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the second derivative of 14*y**3 + 65*y**2 + 252*y. Does 62 divide f(11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3807639.\nAnswer: 3, 11, 38461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1233003 + 11231?\nAnswer: 1310300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 53061 to the power of 1\/3, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 50.1 - 50.6. Sort -1, m, 0, 15\/16 in descending order.\nAnswer: 15\/16, 0, m, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the second derivative of -41*m**6\/15 + m**5\/20 + 229*m**3\/3 - 438*m + 2. What is the second derivative of v(a) wrt a?\nAnswer: -984*a**2 + 6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes after 6:36 PM?\nAnswer: 2:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-111 + 4*a + 111)*(-a - a + 0*a)*(52 + 55 - 109 + 27*a).\nAnswer: -216*a**3 + 16*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 418321, 418320, 418319, 418318, 418317?\n\"Answer: -z + 418322","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14146407 and 81?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10 + 6. Suppose -36 = 2*x - 6*x. Let p = x + f. What is the smallest common multiple of 4 and p?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 10 + -16373413?\nAnswer: -16373403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 g when two letters picked without replacement from {l: 1, q: 2, g: 3, n: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.212 * 0.4\nAnswer: -0.0848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 2*o, -3*o - 2*o = -4*g. Let b(u) be the second derivative of u**3\/6 - 5*u**2\/2 - 11*u. Calculate b(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-2\/71)\/(d**(-7)*d*d) assuming d is positive.\nAnswer: d**(353\/71)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1230)\/820 + (-3)\/216*-434*(-4)\/(-14)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 12479.8 from 0.1.\nAnswer: -12479.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 142.6665 to 0 decimal places.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 312 and 6.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.01*-50990\nAnswer: 509.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a millennium in centuries?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1415 by -5.\nAnswer: -283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16926 - 16482 = 12*a for a.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 327*q = 339*q - 13908000. What is q rounded to the nearest one hundred thousand?\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*p**2 + p**4 - 1 - 285*p**3 + 144*p**3 + 142*p**3 as b*p + h*p**4 + m*p**3 + q*p**2 + j and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1160*o + 2980*o + 3087*o - 105*o + 2051*o.\nAnswer: 6853*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -4 and -4.14894?\nAnswer: 0.14894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1111001011000010101011 (base 2) to base 4\nAnswer: 33023002223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 21 = -3*k, -5*k - 21 + 6 = 0. Suppose 5*w + 5*h + 20 = 0, w + 3*w - 24 = i*h. Sort -2, -3, w in descending order.\nAnswer: w, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 29 - 38. Let j be (-1 - h\/5)\/(30\/225). What is the third derivative of 13*x**2 + 0*x**2 + 6*x**6 - 4*x**j wrt x?\nAnswer: 240*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 + 6 = -5*i. Suppose 21 = 5*t - i. Suppose -5*s - t*r = 154485, 4*s - 2*r = 5*s + 30894. Round s to the nearest 1000.\nAnswer: -31000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.99714 hours in milliseconds?\nAnswer: 25189704","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.2, -808, 2\/3, 1\/11?\nAnswer: -808","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 10 + 0 + 1 + -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 63, -9, 37, -1\/3, -2, 1, 4?\nAnswer: 37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 7186, 0.82, -5\/6, 0.1?\nAnswer: 7186","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -397 + 1 - (-2 + 3)*-1. Let o = 774 + x. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6466224 (base 9) in base 5?\nAnswer: 1342000031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjjm when four letters picked without replacement from {j: 3, m: 7}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the first derivative of 2*n**3\/21 + 5*n**2 - 148*n\/7 - 1088. Solve x(t) = 0.\nAnswer: -37, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 3*q = 4*q + 9, -2*k + 5*q = 53. Let c = -10 - k. Find the third derivative of 2*l**2 - c*l**6 + 3*l**6 - l**2 wrt l.\nAnswer: -120*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/37? (a) 0.4 (b) -0.9 (c) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**2\/3 + 14*s - 3740\/3.\nAnswer: 2*(s - 34)*(s + 55)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the second derivative of -3\/4*d**4 + 0*d**2 + 1\/20*d**5 - 1\/720*d**6 - 28*d + 0 - 9\/2*d**3. Let l(y) be the second derivative of f(y). Factor l(w).\nAnswer: -(w - 6)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = -5*d - 7*u + 8*u, -3*u + 9 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**2 - d - 3. Let c be i(-7). Let h = 74 - c. Let j = -5 + h. Is 9 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 2)*(-24 + 5*s + 24 + (2*s - 3 + 3)*(-5 + 1 + 3)).\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 250 divided by -1\nAnswer: -250","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 + 12. Suppose 17 = v - 5*a, -w*v - 3*v - 3*a + 1 = 0. Solve i + q = v*i + 5, -5*i - 7 = q for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*d - 27*d + 312. Calculate the smallest common multiple of d and 108.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -38, -64, -90?\nAnswer: -116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 2*o + 99497. Let z(l) = 2*l. What is p(z(q))?\nAnswer: 4*q + 99497","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2802073 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3244 (base 6) to base 3.\nAnswer: -1000201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 804\/(-4556)*(-68)\/(-16).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2.69, 2, 0.2, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 5, r: 5}. Give prob of sequence rrr.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**3\/7 + 60*l**2\/7 + 144*l\/7 - 1728\/7.\nAnswer: 3*(l - 4)*(l + 12)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - -3. Find the third derivative of h**6 + o*h**6 + 4*h**2 - 4*h**6 wrt h.\nAnswer: 360*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p + 6*p - 6. Let x(i) = -3*i + 2. Let f(b) = 2*b - 3. Let m(o) = p*f(o) + 3*x(o). Let z(v) = -2*v**2. Determine z(m(u)).\nAnswer: -50*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*d*h*r**3 + 8*d*h*r**2 - 5*d*h - 2871*d*r**3 - 4*d + 176*h*r + 23*r wrt r.\nAnswer: -30*d*h*r + 16*d*h - 17226*d*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -29 + 59 + 2 + -43.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -1, -4, -2, -8 in descending order.\nAnswer: -1, -2, -4, -8, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 17071540289 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2 (b) 4 (c) -2 (d) -0.4 (e) 65001\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -11*t + 24. Let q(g) = -5 + t - g + 2*g**2 + g**2 - 2*g**2. What is q(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -18*v**3 - 35*v**2 + 6*v + 15. Calculate q(-3).\nAnswer: 168","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 21168 and 1530396.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a kilometer in meters?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -220, -1, 3, -3, 0.0501, -2?\nAnswer: -220","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1345, -1324, -1257, -1120, -889, -540?\n\"Answer: 4*x**3 - x**2 - 4*x - 1344","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3 + (5 + -2)\/(10 - 517\/55). Solve s*z - 20 = 4*o - 8, -2*z = -8 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - (1 - 9)) + -4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 78302557 to the power of 1\/3, to the nearest integer?\nAnswer: 428","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**2 + 5*j - 1. Let h be c(4). Let n = 7 + h. Calculate the remainder when 26 is divided by n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 677 = 1368. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -20\/2857293 and -83\/63.\nAnswer: 20001051","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*-7\nAnswer: 2.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/15*45\/(-6)*39\/(-390)*-20.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 8 + 2 = 4*p, 0 = -z + p - 9. Let m(l) = -l**2 - 8*l + 2. Let b(k) = k**2 - 2. What is the smallest common multiple of b(-2) and m(z)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -201*m + 54*m - 94*m - 9*m as f*m + i and give f.\nAnswer: -250","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**9*(w\/(w**23\/w))\/w assuming w is positive.\nAnswer: w**(-13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18499724?\nAnswer: 2, 4624931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**2 + 276*t + 3655. Calculate v(-14).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.5 + 0.6. Suppose o - 144 = -34. Let j be (-8)\/o*(-100)\/40. Which is the smallest value? (a) 1\/4 (b) n (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21 - ((-2516)\/(-74) - -35)\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -32 + 13. Let d = f - -27. Suppose 12 = -d*a - 4. Let u(g) = 3*g + 3. Calculate u(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**4\/9 + 1684*h**3\/9 + 335474*h**2\/9 - 889152*h + 5018112.\nAnswer: 2*(h - 11)**2*(h + 432)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.17 - -0.33. Which is the third smallest value? (a) -1\/6 (b) -3 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.7 + -0.75. Let w = -0.0499998 - x. Round w to six decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/9*1\/((-2)\/(-12))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -34 - -37. Calculate the common denominator of -15\/22 and q\/(-12)*-78 + -4.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 264464?\nAnswer: 2, 16529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 64, 2 in descending order.\nAnswer: 64, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 513*j**3*q**2 + 9*j**3*q + 23*j**3 + j**2*q**5 - 2*j**2*q wrt q?\nAnswer: 1026*j**3 + 20*j**2*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3440483 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -o - 2*f, 4*f - 5 = 4*o + o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2*((286\/13)\/(-44))\/(1490\/20)\nAnswer: -2\/149","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the second derivative of a**4\/66 - 2*a**3\/11 + 24*a. Solve c(v) = 0.\nAnswer: 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 39 + -38.9. Which is the closest to o? (a) -5 (b) 0.4 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tdf when three letters picked without replacement from {d: 2, y: 1, t: 1, f: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/12 + (-6)\/(-9). Suppose -4*h + 5*c = -23, -5*h + 9 = -5*c - 16. Which is greater: z or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + (-6)\/4)\/(-2).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 74 (base 9) to base 10\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2506.\nAnswer: 2, 7, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrrrrrrrrrrrrrrrkr. What is prob of sequence rk?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*p + 4. Suppose 2*a - 6 = -a. Solve a*g - p*r = -1, -2*r - 1 - 7 = 3*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-2 - -1)*126\/(-168). Sort -3, 0.2, -1, a in increasing order.\nAnswer: -3, -1, 0.2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2.753, -1\/7, 1 in descending order.\nAnswer: 2.753, 1, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*h - 30*h + 4*z + 2733 - 1597 = 0, 0 = 2*z - 6 for h.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -280075 divided by -1?\nAnswer: 280075","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -22.24 - -4?\nAnswer: -18.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - g = 12. Let j = g + 33. What is the second derivative of j*y**2 + 966 - 3*y - 966 wrt y?\nAnswer: 58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 45*d**3 - 4*d**2 + 4*d + 3. Let c(o) = -135*o**3 + 11*o**2 - 11*o - 8. Give 4*c(t) + 11*m(t).\nAnswer: -45*t**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 106, 1.7, 51, -4, -0.4 in descending order.\nAnswer: 106, 51, 1.7, -0.4, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**2 + 3*v - 3. Let g be t(2). Let n(s) = 0 + s**2 - 5 - 6*s - 5 + 1. Let r be n(7). Is g <= r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -144*n**5*q + 255980*n**3*q**3 + 4941*n**2*q**3 - 2*n**2*q**2 + n*q**3 - n + 633*q**3 wrt n?\nAnswer: -8640*n**2*q + 1535880*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 6 = -7*f. Suppose 0 = -f*z, 0*z + 362 = 2*t - z. Suppose -2*q = 3*r - t, q - 2 = 3. Calculate the highest common factor of 38 and r.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*b - 0*b. What is the derivative of x**2 - 3 + 4*x**2 + 1 - x**b wrt x?\nAnswer: 8*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z - 4 + 4)*(5*z - 3*z - 3*z) - 4*z**2 - 2 + 2 + 3*z**2 - 10*z + 9*z + 24*z**2.\nAnswer: 25*z**2 - z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 89246.98 litres to millilitres.\nAnswer: 89246980","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cdlyz. Give prob of sequence yz.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f = -6*f - 356 + 256 for f.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - 0. Let p = 2 - 2.1. What is the second biggest value in z, 5, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (0 - (6 + -3)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 32054610?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (5 + 24\/(-9))*3 - (10 - 4). Do r and 1\/855 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*3\/(3\/1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1119402061?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*o**2 - 16*o**2 + 28*o**3 + 43*o**3.\nAnswer: 71*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -44 (b) -1001443 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 24 - 17. Let a(h) = -4*h. Let g(o) = 21*o + 5. Let i(c) = 6*a(c) + g(c). Determine i(m).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 273748.\nAnswer: 2, 68437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1, 8, -5, 3 in increasing order.\nAnswer: -5, -2, 1, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -7538250 to the nearest one million.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g - 10, -2*n - 3*n + 4*g - 7 = 0. Let v be 0 + 2 - 84\/n. Suppose q = -4*q + v. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*b - b**2 - 11 - 10 + 9 + 11*b**3 + 15 to h + c*b**3 + j*b**2 + v*b and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.0445 to 1 decimal place.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4956?\nAnswer: 2, 3, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -218415437 - 7686.3\nAnswer: -218423123.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i + 3*i + 30. Let d = i + 17. Let z(v) = 2*v**2 - 2*v + 3. Determine z(d).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 35*y - 1. Let h(x) = 35*x - 1. Give 2*h(g) - 3*m(g).\nAnswer: -35*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 - 49\/2) + 4\/(-8). Let s = a - -26. Suppose -2 = f - 4. Solve f = s*h - 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 192530.\nAnswer: 2, 5, 13, 1481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 27 + -367?\nAnswer: -340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -62 + 53. Suppose -3*b = -32 - 7. What is the remainder when 75*(-1)\/(-2)*(-12)\/v is divided by b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -1724995.\nAnswer: 1\/344999","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**5\/(n**(1\/4)\/n))\/(n**(3\/4)*n**(-7\/3)) assuming n is positive.\nAnswer: n**(22\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + 0 + -4 - 924\/2156?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 23 + -18. Sort g, 2\/15, -4 in increasing order.\nAnswer: -4, 2\/15, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -81118, -162243, -243368, -324493?\n\"Answer: -81125*t + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.89915103 + 0.899. What is p rounded to 6 decimal places?\nAnswer: -0.000151","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 4*j - 96. Suppose 4 = -v + j. Suppose -v + 89 = 4*i. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**2 - 18626504*u + 86736662815504.\nAnswer: (u - 9313252)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 18\/20 - 20\/50. Let o = 5.8 - 6. Let k = o - -0.5. What is the third biggest value in x, k, 3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.038 in 0.2, 0.5, -32.47?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + 25 = 3*w - 2*w, -10 = -3*y + w for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k**4 + 171*k**3 - 177*k**2 - 171*k + 174 = 0. What is k?\nAnswer: -58, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 3 (b) -1\/531 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(-2)*(-28)\/(-171703). Let k = -138471992384254697\/196232 - -705654492550. Let y = t - k. What is the common denominator of -28\/5 and y?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12424*d**3 - 12434*d**3 + 24857*d**3.\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 2*p - 3 + p)*(-p**3 + 5*p**3 + 0*p**3).\nAnswer: -4*p**4 + 20*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 5 + (8 - 5) + -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 - -14?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 3126 divide 80700816?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -3*q**2 - 4*q + 4. Let o(i) = -4*i**2 - 5*i + 5. Let d(l) = -4*o(l) + 5*r(l). Let z(c) = 130*c. Determine z(d(t)).\nAnswer: 130*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(2\/5)*b)\/b**(-3\/5)*b**(-2\/13)\/b**1 assuming b is positive.\nAnswer: b**(11\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 5*s + 25825, 3*y - s = 8530 + 6969. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minus 965960171.2342?\nAnswer: -965960169.2342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 52728?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w - 2*w + 381. Let a = w + -62. Suppose 0 = k + 1, -6*k + k = -3*j + a. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77 is divided by (-8880)\/(-340) + 6\/(-51).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -854*f - 28072 - 3631*f + 28071.\nAnswer: -4485*f - 1","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 42624 and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the first derivative of -v**2\/2 + 40. Let x(l) be the first derivative of -3 + 1\/3*l**3 + 0*l + 0*l**2. Calculate g(x(m)).\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -19*k**3 - 15*k + 11. Let n be ((-3)\/2)\/((-3)\/(-44)). Let p(q) = 5*q**3 + 4*q - 3. Give n*p(i) - 6*s(i).\nAnswer: 4*i**3 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.6, -7\/11, -8?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 3, 0.4, 991?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9550413 is divided by 5999.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 3 + 3*(1 + sqrt(833))**2 + (1*(2 + sqrt(17)) + sqrt(17) - (sqrt(85)\/sqrt(5) + -5))**2.\nAnswer: 56*sqrt(17) + 2572","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 18729 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 51\/(-106)*(-49)\/11. Let c be 941\/(-212) - 1\/(-4). Let v = q + c. Calculate the common denominator of v and -89\/10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -701*h**2. Let m(f) = 42*f**2 - 242. What is m(w(k))?\nAnswer: 20638842*k**4 - 242","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 441 a factor of 6092747?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ola when three letters picked without replacement from icooaoicicdlic?\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 4*h = 70, y + 0*h - 43 + 10 = h for y.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8622 + 18776. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*l**3 - l**3 - l**3 + (-l**2 + 0*l**2 + 0*l**2)*(3 + 4*l - 3) as n*l**2 + f*l + h + x*l**3 and give x.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**2 - 2403*n - 24122. Determine t(-10).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/149 in 0.1, -1, -10, 4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 1416*j + 4928*j + 6529*j in the form s + h*j and give h.\nAnswer: 12873","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m = 3*u + 30, 3*m - 485471 + 485473 = u - 0*u for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10754513.91ms in weeks?\nAnswer: 0.017781934375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 10 + 2 = 4*z, 3*z = -5*s - 11. Solve -5*p = -4*b - 12, b - 29 = -z*p - 32 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 46?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -7425889\nAnswer: -3\/7425889","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(98) + -3)**2*-4 + 2 + 5 + 0 + sqrt(98) + 5.\nAnswer: -419 + 175*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cypp when four letters picked without replacement from pyvpycppzzzzzpzpycp?\nAnswer: 7\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 plus -387703?\nAnswer: -387698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1001 and 143?\nAnswer: 1001","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t**4\/4 - 3*t**3\/4 + 815*t**2\/2 - 1968*t - 2376 = 0 for t.\nAnswer: -44, -1, 6, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 485982?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 78 divide 39156?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**2)**4\/(y**(3\/7)*(y*y**(8\/5))\/y*y) assuming y is positive.\nAnswer: y**(174\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 5*p - 3. Give s(6).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w + 1. Let g be m(1). Let f(c) = c + 191. Is f(g) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 143 a factor of 35541792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 120826, 121250, 121674, 122098?\nAnswer: 122522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 2*y**2 + 2*y + 4. Let a = -71 + 78. Let z(r) be the second derivative of r**4\/3 + 5*r**3\/6 + 9*r**2\/2 - r. What is a*m(c) - 3*z(c)?\nAnswer: 2*c**2 - c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -30 + 32. Sort -4, f, -2 in descending order.\nAnswer: f, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*n = 78*n - 11*n - 1136 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8858*f + 32649*f + 43950*f - 1722*f.\nAnswer: 83735*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 2*f + 6. Let s = -246839\/7 + 35265. Factor -8\/7 + s*z - 10\/7*z**2 + 2\/7*z**f.\nAnswer: 2*(z - 2)**2*(z - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b + 61 - 30 - 23. Let n(k) = -1. Determine 3*n(h) - t(h).\nAnswer: -h - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-227)\/(-9) + (-4)\/18. Suppose -4*p = -n + 55 - 15, 2*n = -3*p + f. Let v = n + -15. What is the remainder when 12 is divided by v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.09, -3, 7\/8, -40, -8\/5, 2\/3 in ascending order.\nAnswer: -40, -3, -8\/5, 0.09, 2\/3, 7\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 286 = 2*k - 0*k, 2*l = -3*k - 593. Let d = -196 - l. Let t be 5\/2*((-72)\/(-15) + 0). Calculate the highest common factor of t and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8 - 2 + 8 - 2*f**2 wrt f.\nAnswer: -4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*o**3 + 3*o**3 + 0*o**3 - 2*o**3 + 0*o**3.\nAnswer: -2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 2*g = 58, -3*g = -6*g + 12. Let r be 30\/y*5\/2. Suppose -142 = -3*x + 5*v, -r*x - 56 = 3*v - 230. What is the tens digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*c = 32*c + 2690. What are the prime factors of c?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -5*v - 24. What is the remainder when q(-14) is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 5*a + 104 - 26 - 54 - 17*a**2 + 3*a**3. List the prime factors of o(7).\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-25 - (-4671)\/189)*21\/(-39)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8\/(-44) - ((-9248)\/(-22))\/(-2). Calculate the greatest common factor of q and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2326112374 to the power of 1\/7, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 145931 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 - -5. Let q = 256\/5 - 51. Suppose -t + 15 = 2*t. Which is the closest to -1\/2? (a) t (b) q (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -376\/21 + 55\/3. Which is the nearest to 1? (a) m (b) -2 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 64\/48 + (-4)\/3. Suppose l*k + s + 4 = k, 5*s = 3*k - 14. Suppose 5*m + 5 = 0, 0 = -v - k*m + 4*m + 32. What are the prime factors of v?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/30*27*((-20)\/(-3))\/4. What is the third biggest value in -2, -0.05025, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -3*j + 51*j**2 - 7*j + 51*j**2 - 7 + 2*j. Is z(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes after 8:01 AM?\nAnswer: 11:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17061.4 + -20588. 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 s(k) be the first derivative of -k**4\/12 - k**3\/3 - 3*k**2 - 134*k + 60. Let p(o) be the first derivative of s(o). Calculate p(-4).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w - p, 3 = -2*p + 1. Suppose -5*m + 2*s + w = -1, 3*s = -m + 14. Solve 3*h = m*d + h + 6, -d - 8 = -2*h for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*h + 78 = 12*h. Suppose 0 = -a - a - 14. Let f = a - h. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y = -39 - -42. Let n(h) = 7*h - 2*h - h - y*h. Let u(w) = 40*w. Give u(n(k)).\nAnswer: 40*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 - (20 + 5 + -10 - (3 + 21))?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 122 + 148 = 0. Is n a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 342 + 1 - (18 - 12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.2 (b) 2 (c) -4997\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 l when two letters picked without replacement from {k: 4, l: 2, p: 1, h: 2, e: 5}.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 21*k**2 - 20*k**2 - 12 - 4*k - 5*k. Give m(10).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1207*h**3 - 3*h - 222 wrt h?\nAnswer: -7242*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.09 in 2\/17, 10, -1\/3, -4, 301?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 57\/(-7) - 2\/(-14). Let g = 12 + h. Let x = -9 + 9. Solve x = 2*w - g*w + u + 5, -3*w + 3*u + 9 = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*-10*10\/(-75)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1, 67, -4, -35, -10 in increasing order.\nAnswer: -35, -10, -4, -2, 1, 67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in fourty-two fifths of a kilogram?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -15*(-60)\/1050*-7\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 + 1 - 7 - -5) + 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 237987 divided by -23\nAnswer: -237987\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/((-3)\/(9\/(-3))). Let m be ((-18)\/189)\/(1\/3). What is the smallest value in b, 3\/5, m?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (476\/170*(-28)\/((-560)\/(-75)))\/(3\/18).\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 28783 + -28778. Which is the third biggest value? (a) 0.91 (b) -123 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 15513*g + 556. Let y be v(-1). What is y rounded to the nearest 1000?\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 4*w. Suppose -5*n = -0*n - 85. Suppose 7 = -2*s + n. Suppose 0 = -5*q - 5*t + s, -5*q + 5 = -t + 5*t. Determine k(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {b: 6, r: 7, y: 2}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -4*o**2 + 240*o + 2176 = 0?\nAnswer: -8, 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 41958\/1053 + ((-2)\/(-78))\/((-4)\/(-24)). Let s = 12 + 4. What is the greatest common divisor of s and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 19*c = 96. Is 3 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 2*k**2 + 10320*k + 20646. Calculate s(-2).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + b - 2813 = 0, -2*b + 0*b = -3*s + 2096. Suppose -5*x = -18*x + s. Let z = -55 + 82. Calculate the least common multiple of x and z.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.2 or -12\/30277?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 + 202011242?\nAnswer: 202011242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*h + 56069*h**3 - 56079*h**3 + 100*h**2 + 0*h.\nAnswer: -10*h**3 + 100*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 204 and 27701772.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 2*y - 2. Let c = 45 + -43. Suppose 0 = w + 2 - 5. Let p(u) = c*u - w*u - 2 + 4. Give -2*h(z) - 3*p(z).\nAnswer: -z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 3 - 1)*(-56*j**4 - 48*j**4 + 105*j**4) as p*j**2 + o*j**4 + q*j + t*j**3 + r and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*r - 5*r + 2*r)*(0 - 2 - 16) as c*r + z and give c.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 18, g: 2}. Give prob of sequence gg.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the second derivative of 0*t**2 + 1\/9*t**3 + 0 + 1\/36*t**4 - 3*t. Determine c, given that j(c) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0\/(6\/2))\/(-2). Let s be (m + (2 - 1))*258. Suppose 0 = 4*t - 5*t - a + 136, s = 2*t - 5*a. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tmnmdawn. Give prob of sequence da.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*b = 57*b - 8*z + 73, -b + 5*b + 144 = -5*z for b.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1443 and 43068?\nAnswer: 559884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4 + (-37)\/10)\/((-1)\/(-10)). Solve -t*l - 79 = -88 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -494, -3, 4\/279?\nAnswer: 4\/279","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -12.1 and 0.2.\nAnswer: -2.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1202 (b) -4 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 3) to base 13\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5152\/13 or 397?\nAnswer: 5152\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -122, -554, -1268, -2258, -3518, -5042, -6824, -8858?\n\"Answer: a**3 - 147*a**2 + 2*a + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/(-16) + (3 - 50\/(-8)). Suppose -31 + 4 = -o*p. Solve p*u + 25 = 8*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1300832 and 100064?\nAnswer: 1300832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -b + 8. Let f be (10 - (7 + b)) + -3 + 0. Suppose w = -7 + 7. Sort f, w, -4 in decreasing order.\nAnswer: f, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1507753829 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11096, -11098, -11100, -11102?\nAnswer: -11104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -82325\/36 + 2290. Calculate the common denominator of w and 107\/18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23135 minus 386758?\nAnswer: -409893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -82633\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -1. Let o(u) = -8*u + 16. Let b(z) = -o(z) - 16*y(z). Let d(c) be the first derivative of c**2\/2 - 109. What is b(d(w))?\nAnswer: 8*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 16992625495 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -17011 times 13\nAnswer: -221143","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 264.7 - 265. Which is the nearest to 0? (a) 3 (b) 3\/4 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*w = -14*w - 5. Let l(n) be the second derivative of 0 + 2\/15*n**w - 2*n + 0*n**2 - 28\/45*n**6 + 7\/9*n**7 + 0*n**4 + 0*n**3. Factor l(j).\nAnswer: 2*j**3*(7*j - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -x*y**3 + 467827*x*y**2 - 6463*x*y + y**2 - 89*y wrt y?\nAnswer: -6*x*y + 935654*x + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 195422 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 84 divide 12976?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 319*v - 289. Let w be u(1). Which is smaller: w or 51?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.087 - 0.387. Which is the nearest to 10\/3? (a) 3\/5 (b) x (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 - 11 + 13 - 11*w**2)*(2*w + 0 + 0) + 25*w**3 + w - w to the form z + y*w**2 + k*w**3 + u*w and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -1\/290883331?\nAnswer: -1\/290883331","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 21 - 58. Let o = -38 - n. Let l = -0.2 - -1.2. Which is the smallest value? (a) l (b) -2 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/16308 and -33\/522460?\nAnswer: 14106420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-11350)\/250 + 45)\/(6\/(-10)) - (-302)\/6?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 - 103?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 14*r**5\/3 - 92*r**4 + 424*r**3\/3 + 48*r**2 = 0.\nAnswer: -2\/7, 0, 2, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the second derivative of 0*y**2 + 1\/30*y**5 - 1\/180*y**6 + 1\/3*y**3 + 0 - 6*y - 1\/12*y**4. Let m(w) be the second derivative of r(w). Factor m(g).\nAnswer: -2*(g - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 - 15. Let r = -1.6 + 1. Sort r, -3, g.\nAnswer: g, -3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.5 (b) 0.4 (c) 1057 (d) -0.14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 6 = 3*g. Let p(q) = g - 2*q - 6*q - 1. What is p(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*l, -13*m + 20 = -18*m - 4*l for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2676 - -81.\nAnswer: -2595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 6625 divided by 23416?\nAnswer: 6625\/23416","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8724104?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 37 + -39. Sort h, 0.4, 0.01 in decreasing order.\nAnswer: 0.4, 0.01, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 + -12010?\nAnswer: -11222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 73*c**2*s**2 + 26*c**2 + 1217*c*s**2 + 5*s**2 wrt c?\nAnswer: 146*s**2 + 52","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-4) + 13\/18. Let v = 0.44 + -0.04. What is the biggest value in h, 2, v?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 22*g - 12. Let f(d) = -23*d + 7. Determine -3*f(k) - 2*v(k).\nAnswer: 25*k + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, -4, -0.3, 882, 4 in ascending order.\nAnswer: -4, -0.3, 2\/7, 4, 882","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 6074297 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -19914.5 + 19914. Let s be -1 + 0 - 307 - -2. Let x be s\/(-30) - 1\/5. Which is the third biggest value? (a) x (b) d (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*g + 2*g**4 + 8*g**3 - 7*g**3 - 1 - 1 as f*g**4 + q*g + z*g**2 + l + u*g**3 and give q.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1050, 2405, 3898, 5529, 7298, 9205, 11250?\nAnswer: 13433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*b + b - 10*b + 4*b - 2*b.\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -21*r - 29*r + 150 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-1*sqrt(1872) - (-5 + 1*sqrt(1872))**2.\nAnswer: -1897 + 60*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(768)*3)\/(-6*sqrt(72)\/sqrt(2) - sqrt(36) - sqrt(36) - sqrt(36)).\nAnswer: -16*sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(119)\/sqrt(7) - (sqrt(1700) + sqrt(1700)*1))**2 - (1 + (sqrt(1377)*-3 + 2)**2).\nAnswer: -9066 + 108*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11, 8, 7, 14, 35?\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/((25\/(300\/126))\/(9\/12)).\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.9 - 0.1. Let n = k + 3.5. Let h = 1.5 + n. Which is the second smallest value? (a) 0 (b) h (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24493, -49019, -73599, -98263, -123041?\nAnswer: -147963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -778833, -778814, -778795?\n\"Answer: 19*j - 778852","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 12019 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.06025 times 5395\nAnswer: 325.04875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-96)\/(-12))\/16*-8 - -8. Solve r = 856*c - 858*c + x, -4*c = x + 20 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*i - 44*i**2 - 9*i to the form o*i + a + h*i**2 and give h.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7861446 and 1863?\nAnswer: 70753014","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes after 3:08 AM?\nAnswer: 5:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-5) - (-7)\/(-70)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-56)\/(-8)*13\/91*5\/4.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j + 1. Let p(k) = -11*k**2 - k + 1. Let t(s) = 2*s - 22. Let q be t(12). Let n(r) = q*p(r) - 2*v(r). What is the second derivative of n(h) wrt h?\nAnswer: -44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -212 - 72. Let v = 286 + n. Solve -3*x = v*x - 25 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 6 = -2. Let d(c) = 2*c**2 - 9*c + 25. Let k(j) = -j + 1. Let q(s) = m*d(s) - 14*k(s). Factor q(i).\nAnswer: -4*(i - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -28, 6, 100, 284, 588, 1042, 1676, 2520?\nAnswer: 3604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (4 - -2) - -12?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5578, 2055, 9686, 17315, 24942, 32567, 40190?\nAnswer: 47811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/3, 27.955, -18.9?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v. Let s(w) be the first derivative of 2*w**3\/3 + 5*w**2 + 466. Determine s(h(n)).\nAnswer: 2*n**2 + 10*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 4232 divide 1224571520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 18 (b) 20 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 6*x**5 + 46*x**4 - 2180*x**3 - 1472*x**2 = 0.\nAnswer: -23, -2\/3, 0, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.4139 rounded to 1 dp?\nAnswer: 24.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 4*y - 180 = n, -3*y + 249 = 5*n. Suppose -5*s + 3*h + 4 = -73, -h = 4*s - n. Let t = -17 - -56. What is the highest common factor of s and t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -65984044 to the nearest one hundred thousand.\nAnswer: -66000000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Solve 147*a + 55 = -4*k - 5, -23*k - a + 45 = -15*k - 11*k for k.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -27 - -47. Suppose 17*z - 12*z = a. Solve -z*s + y + 0*y = 0, -3*s = -y for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12478196 to the power of 1\/3, to the nearest integer?\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that y**2\/5 - 19813*y\/5 - 7926 = 0.\nAnswer: -2, 19815","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1624854?\nAnswer: 2, 3, 7, 11, 3517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6aab (base 15) to base 7.\nAnswer: -123032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the third derivative of -l**5\/10 - 4*l**2. Let c = -133 - -325. Let s(k) = 383 - 191 - c - 4*k. What is m(s(w))?\nAnswer: -96*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: c50 (base 14) to base 11\nAnswer: 1902","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-78*o - 108*o - 161*o)*(0*o + o - 3*o)*(o + o - 3*o) to j*o**2 + p + h*o**3 + l*o and give h.\nAnswer: -694","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -1337*j + 33428. Calculate q(25).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3486 is divided by 554.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = -7*y - 4 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -22011032 (base 4) to base 14\nAnswer: -11098","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -69*b**2 + 5*b + 4. Suppose 12 = -7*k + 10*k. Let g be n(k). Let l = 1709 + g. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/16*92\/230.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6111, 6112, 6115, 6120, 6127, 6136?\nAnswer: 6147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**3 + 3*b**2 + 12*b - 5. Let z be y(5). Solve z = 5*o - 20 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 628 divide 3704581891?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + -4. Let c be 1 + 2 - (l - -4). Suppose -2*i = -5 + c. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 30 = -2*t. Solve 0 = 3*g - 5*g + t for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/2 and -121\/684.\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1\/8)\/p**(-3\/4))**50*(p**2\/p)**(4\/9)\/(p**(2\/7)\/(p*p**(3\/2)\/p)) assuming p is positive.\nAnswer: p**(8293\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) -40 (c) 24238\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -4*x + 12. Let j be c(2). Solve -4*q - j = 4 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/4959, -370, -8, 15 in descending order.\nAnswer: 15, -2\/4959, -8, -370","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 350294399?\nAnswer: 7, 13, 3849389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 331?\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 473, -189, -851, -1513, -2175, -2837?\n\"Answer: -662*n + 1135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 982189 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (0 + (1 - 3))*(-29)\/(-174)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h when three letters picked without replacement from hhhshsh.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 92, -3, 29 in increasing order.\nAnswer: -4, -3, 29, 92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k. Let x(v) = 2*v - 1. Let i(p) = 10*j(p) + 4*x(p). Let l(y) = -y**3 + 15*y + 14. Let q be l(-3). What is i(q)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.295 + -0.005. What is the nearest to -3\/2 in 0.3, 0, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3977 + 3941 = -4*o for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 25188, -1291 in ascending order.\nAnswer: -1291, -1, 25188","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r - 10632 + 368 = 0. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -70 - -14. Let n = -39 - t. Let i = 15.5 - n. Sort i, -2, 5 in increasing order.\nAnswer: -2, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/(-72)*-371*(-7)\/((-147)\/6).\nAnswer: 53\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10 + 8. Calculate the common denominator of -29\/12 and (-127)\/((-8*3)\/j).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - 17 - (8 + -4 - 6).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 39\/9 + (-6)\/(-9). What is the third derivative of 9*o**3 - 3*o**2 + 5*o**2 - m*o**3 wrt o?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71971 is divided by 181.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 200 - (-7 + -2 - -8). Which is smaller: 607\/3 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p**2 - 2828*p + 128304 = 0.\nAnswer: -1458, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes after 12:08 PM?\nAnswer: 12:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 798?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3512*u**3 + 6*u - 6*u + 3505*u**3.\nAnswer: -7*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**2 - 47*f + 160. What is the least common multiple of b(0) and 464?\nAnswer: 4640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-2 + 2*(0 + sqrt(425)) + (sqrt(425) - (sqrt(425) - (5 + sqrt(425) + -1*sqrt(425))) - sqrt(425)))**2.\nAnswer: -1302 - 90*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 126 is divided by 32?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.5249 - -0.43. What is y rounded to 2 decimal places?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 115 (base 9) to base 5\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**3 - 17*q**2 - 16*q + 14. Let y be n(-16). Let x = -47\/10 + -24\/5. Calculate the common denominator of (-3)\/12 + (-105)\/y and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1422576 and 4995.\nAnswer: 7112880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-40)*430\/(-344)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -120696 and 21507136.\nAnswer: 21386440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 + 30 + -23)*(660\/8)\/5.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1139612, -1139610, -1139608?\n\"Answer: 2*w - 1139614","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -8 (b) 0.08 (c) -666 (d) 1\/9 (e) 12\/25 (f) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7 by -43691.\nAnswer: -7\/43691","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.03, 26, -3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 2*k. Let o(j) = 3*j. Let r(i) = -5*o(i) + 9*u(i). Let g(l) = -7*l - 13. Let y(b) = 3*b + 6. Let p(h) = 6*g(h) + 13*y(h). Calculate 6*p(m) + 7*r(m).\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15 - 44\/3. Let y = 16206497\/210 + -77174. Let r = y - -2\/15. Which is smaller: m or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23525 + 6851 = 2701*y + 77983 + 26888 for y.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 209252450 is divided by 13?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 7*c**2 + 1. Let r(v) = -8*v - 30. Let f be r(-3). Let b(n) = 8*n**2 + 1. Calculate f*q(g) + 5*b(g).\nAnswer: -2*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 - 12 = -3*w. Let l(p) = -214*p - 2. Let z be l(w). What are the prime factors of z*(-2)\/2*(-2)\/(-4)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.3 minus -12161038.61?\nAnswer: 12161040.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1879040 is divided by 386.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*u**3 - 179*u + 179*u)*(2 - 3 - 1)*(3*u**2 - 10*u**2 + 0*u**2).\nAnswer: 154*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 170 + -96. Suppose -2*y = -2*a - d, 17*a - 14*a = 4*y - 147. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**3 - 5*c**2 - 8*c + 4. Determine d(5).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 28 + 3?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 18 = -5*k + x, -4*k = 3*x - 19. Solve -k*q = p + 8 + 1, -7 = 2*q + 3*p for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -376*m - 527*m - 898*m = 66637 for m.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -293*g**2 + 148*g**2 + 142*g**2.\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 2 (b) 3 (c) 0 (d) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3784\/3 or -1261?\nAnswer: -1261","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -487476423503.4+1.4\nAnswer: -487476423502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the second derivative of 55*t**8\/56 - t**7\/42 - 7*t**6\/30 + t**4\/6 + 27*t**3 + t**2\/2 + t - 1666. What is the third derivative of g(h) wrt h?\nAnswer: 6600*h**3 - 60*h**2 - 168*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 9, q: 9}. Give prob of picking 4 q.\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and -0.0687.\nAnswer: -0.03435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the third derivative of w**8\/840 - w**7\/210 + w**6\/180 + 2*w**3\/3 - w**2. Let q(s) be the first derivative of h(s). Factor q(u).\nAnswer: 2*u**2*(u - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 10*l**2 + 10*l - 3. Let f(m) = -11*m**2 - 8*m + 2. Calculate 3*d(z) + 4*f(z).\nAnswer: -14*z**2 - 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -24.1 - -20. Let h = 27 - 82\/3. What is the closest to h in -0.4, s, 2\/11?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-9)\/18)\/(2\/156) + -4. Let y = i - -67. Solve 0 = -w + 3*s + 20, 5*w - 3*s = 16 + y for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4865 - 14597\/3. Let f = -6.9 - -1.9. What is the second smallest value in i, 1\/4, f?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(6*(1 + sqrt(252)) + -6*(0 + sqrt(252) + sqrt(252)))**2.\nAnswer: -18216 + 864*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 123467 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 - r + 1)*(5*r**2 - r + r) + (2*r - 3*r + 2*r)*(r**2 - 4*r**2 + 0*r**2).\nAnswer: -8*r**3 - 15*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -14*m - 9. Let z = 33 - 40. Let y be l(z). Let x = -19 + y. List the prime factors of x.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 38, 37, 36, 35?\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - 6 - -10 - -14?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5482444 and 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1031 - -3332?\nAnswer: 11023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 12\/(-2)*(0 + (-4)\/6). Suppose 2*v = -j*v + 30. Suppose i + 3*i + v*s = 281, -i + 62 = 4*s. Is i a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**2 - 1815*f + 554717. Determine o(389).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14.7485475ns to days.\nAnswer: 0.00000000000017070078125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**3 + 3346*y**2 - 49740*y.\nAnswer: -2*y*(y - 1658)*(y - 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1210324 (base 6) to base 16\nAnswer: -f88c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -9388054 divided by -4694027\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -2*v - 7. Let j be d(-6). Suppose z + k - 10 = -z, -4*z + 14 = j*k. Let a be ((-6)\/4)\/(1\/(-2)). Solve a*c - z = c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 3 e when four letters picked without replacement from {y: 6, e: 4}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2, -4, 2, 9047, 4 in decreasing order.\nAnswer: 9047, 4, 2, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3461 is divided by 1144.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*y = 762 + 282. Let m = -6 + 0. Let j be y\/(-54) - (-9360004)\/m. What is j rounded to the nearest one hundred thousand?\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -671 = 4*l - 5*x, 0 = 4*l + x + 3*x + 680. Let c = l + 174. Solve 5*s + c*j + 10 = 2*j, -3 = 2*s + j for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 10*p + 223. Determine t(-18).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 + ((-1)\/4)\/(405\/13932)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:14 AM and 9:47 AM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kcjpn. Give prob of picking 1 c, 1 p, 1 n, and 1 k.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 13070, 13080, 13104, 13148, 13218, 13320, 13460, 13644?\n\"Answer: f**3 + f**2 + 13068","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v\/(v\/v**(1\/8)))*v)\/(v\/(v*(v*v**(-2\/27)*v)\/v)*v))\/(v**(-17\/5)*v**(6\/11)) assuming v is positive.\nAnswer: v**(55307\/11880)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (18\/21)\/((-37)\/(-3108)). What is the greatest common factor of t and 3204?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((-3 + 2 + sqrt(27) + sqrt(3) + sqrt(24)\/(sqrt(16)\/sqrt(2)))*-1*6)**2 + -1.\nAnswer: -360*sqrt(3) + 2734","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 24269156 to the power of 1\/3, to the nearest integer?\nAnswer: 290","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-142)\/781)\/(4\/33)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/882 and -181\/7512624.\nAnswer: 52588368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5 - -2 - (-9 + 16). Suppose 2*p - 6*p + c + 2463 = d, -c = -p + 612. What is the hundreds digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/16*(-465)\/1085?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3761 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(288) + 3) + sqrt(288))*-3 + sqrt(288)*1 + sqrt(288) + -1 + 2)*-5.\nAnswer: 175 + 780*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u = 5*p + 55, -4*p = 4*u - 87 + 11 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1912.576 + 0.424. Let b = z - 1912.97657. Round b to 3 decimal places.\nAnswer: 0.023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the first derivative of -f**2\/2 + f - 34. Let p(o) be the third derivative of o**4\/24 - o**2. What is i(m) + 3*p(m)?\nAnswer: 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ye when two letters picked without replacement from yyye.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1628836 is divided by 206.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 24457445 to the power of 1\/2, to the nearest integer?\nAnswer: 4945","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -23 (b) -0.17 (c) 1 (d) 2 (e) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*g - 2 + 2 + g - g - g + (4 - 8 + 3)*(-g + 2*g - 3*g).\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -6, -0.4, 4, -4, -28, -21?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3a2299 - 44?\nAnswer: 3a2255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 59\/2, 4, 25, 0, -0.3 in increasing order.\nAnswer: -0.3, 0, 4, 25, 59\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57459783?\nAnswer: 3, 19153261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (14*b**3 + 8*b**2 - 8*b**2)*(1 - 1 - b) in the form l*b + i*b**4 + s*b**2 + z*b**3 + c and give i.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 2*i - 14735 = 0, -6*g + g + 24561 = -2*i. Is 50 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 224 - 4467436?\nAnswer: -4467212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -2*d**2 - 174*d + 1118. Determine m(-93).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -950*b + 35970 = -928*b. Does 15 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 greater than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -146*d**3 - 1878*d**2 + 6103639 wrt d.\nAnswer: -438*d**2 - 3756*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand m + 2 - 2 + (0 + 3 - 1)*(2*m - 3*m - m) + 2*m + 2*m - 5*m - 2*m - 19*m + 12*m.\nAnswer: -13*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -344, -342, -340, -338, -336?\n\"Answer: 2*z - 346","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 16) in base 13?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 110*f + 5. Let k be g(-6). Is (k\/2)\/(-5)*2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 39794?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/5, 0.5, 22, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.1, 0.08224, 9, -5\/2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 2*k = 0. Let r(s) be the first derivative of k*s + 1 - 1\/3*s**3 - 1\/2*s**2. What is h in r(h) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.389 minus -108065?\nAnswer: 108059.611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 3 - 40069457241\nAnswer: -40069457238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -26056164 (base 8) in base 10?\nAnswer: -5790836","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = -z + 5*z - h, -2*z - 2*h = 8 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -54\/2266789 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/1493866 or 1?\nAnswer: 3\/1493866","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -56 (b) 30\/11 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -22*f - 4. Let q(m) = -33*m - 5. Let g be (-15 - -10)\/(2\/(-2)). Let s(n) = g*q(n) - 8*l(n). Is 13 a factor of s(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 6*d**2 - 6*d - 8. Let c be v(-7). Let q be (-4)\/30 + c\/(-15). Is (-2 + (-3)\/6)*q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*x + 351459 + 836541. Round x to the nearest ten thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from xxxxxxxxxxxxxxxxuxu.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6\/((-56)\/16 - -4) and 360?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -791, -1, 4, 244.\nAnswer: -791, -1, 0, 4, 244","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 + -18. Let b = y + 11.999944. What is b rounded to 5 dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -56\/3, 29 in increasing order.\nAnswer: -56\/3, -0.2, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1169 - -1321. Calculate the highest common divisor of 114 and p.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t + 20 - 4, 2*t = 5*m - 2. Suppose -2*v + 0*g + 5 = 3*g, -g = -2*v + 9. Find the second derivative of p**v - m*p - p**4 - p**4 wrt p.\nAnswer: -12*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 398558 and 571?\nAnswer: 398558","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times 20241\nAnswer: -6072.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 18002348?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a millennium in centuries?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 16\/15 + 1\/3 + -2\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 g, and 1 f when three letters picked without replacement from fkgfa.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**2 + 34*a - 267. Let k be n(14). Let o(s) = 2*s - 29. Give o(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -9*t + 9. Suppose -h + 4*b - 2 = 0, b + 20 = -4*h + 5*b. Let w(y) = 629 - 323 - 316 + 10*y. What is h*w(a) - 7*g(a)?\nAnswer: 3*a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 466545530 to the power of 1\/3, to the nearest integer?\nAnswer: 776","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*c**4 + 34 - c**3 + 4 + 3*c**3 - c + 9 - 22 + 2*c**2 to z + i*c**2 + x*c**4 + y*c + p*c**3 and give z.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.7 + 0.9. Let t(u) = 3*u + 1. Let n be t(1). Let g be ((-2)\/n + 1)\/2. Which is the nearest to 0.1? (a) 0.1 (b) g (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen eighths of a kilogram in grams?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00115674 to five dps.\nAnswer: 0.00116","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the first derivative of 3\/8*i**4 + 1\/2*i**3 - 3\/4*i**2 - 3\/10*i**5 - 5 + 0*i. Factor r(b).\nAnswer: -3*b*(b - 1)**2*(b + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (6492\/(-2) + 2)*(32 - 34). Let h = 8 - 6. Suppose 4*y - 4*d = -h*d + 6500, 0 = -4*y - d + v. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**2 + 7*s + 2. Let i be l(-7). Find the second derivative of 16 + 2*w - 52 + 14 - 50*w**i + 4 wrt w.\nAnswer: -100","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/6 - 2) + 5\/(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(15\/225*-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -7434 - -52?\nAnswer: -7362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30)\/5850*-45*((-6)\/(-20))\/(18\/4).\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 18269262 a multiple of 198?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15116 - -7376605\/488. Let o = j + 2949\/3416. Is o less than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the third derivative of 0*u**3 + 16*u**2 + 0*u**5 + 1\/60*u**6 + 0*u + 2 - 2*u**4. What is the second derivative of d(t) wrt t?\nAnswer: 12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20 + 116*m - 422*m + 152*m + 54*m.\nAnswer: -100*m + 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 10*p + 45 = -r, -4*r + 4*p = 20 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 101*z**2 - 99*z**2 + 9*z + 8 + z.\nAnswer: 2*(z + 1)*(z + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = 3*x + 32. Let q be 130\/(-7) - x\/(-49). Is q at least -1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36570 = -154*m - 52*m - 59*m. Solve -5*u = -m + 163 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -35, 2, -165, 5, -1.\nAnswer: -165, -35, -1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 490304 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llll when four letters picked without replacement from {l: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 131*s - 7. Let u(k) = 2*k. What is q(u(d))?\nAnswer: 262*d - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g = -13*g + 50. Suppose -j - 2 = -g. Which is the smallest value? (a) -4\/5 (b) 5 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/9)\/((-10)\/(-120)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27704 is divided by 455?\nAnswer: 404","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:28 AM and 2:39 AM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 157618416 and 240?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (33 - 63)*18\/(-20).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20878 a multiple of 112?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 + 3 - 40\/5. Let n = -75 + k. Let l be 2*n*5\/10. What is l rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 86 = -5*d. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 63.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 > 1021?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 7*u**2 - 5*u - 7. Is y(-10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.1072 + 0.1072. Which is bigger: l or 1\/46?\nAnswer: 1\/46","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18202?\nAnswer: 2, 19, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (11 + 4 + -11) - (-1 + 5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 v when two letters picked without replacement from {v: 1, w: 4, n: 3, k: 2, b: 2}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 0 + 2 - 3. Let d(r) = 2*r - 2. Calculate d(v) - 2*u(v).\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 341 divided by -17.\nAnswer: -341\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/6*21\/5*(-5)\/(-1).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*w - 4*w + 0*w)*(6 - 4 + 2*w + 3) to a*w**2 + q*w + p and give q.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the third derivative of 0*m - 11*m**2 + 1\/30*m**5 + 0 - 1\/120*m**6 + 0*m**4 + 1\/3*m**3. Let z be u(0). Solve -r = -z*r + 1 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the second derivative of -12*p + 0 + 7\/4*p**4 - 1\/2*p**2 + 2\/3*p**3. What is the tens digit of o(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.94199730528 + 0.3\nAnswer: -0.64199730528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 220353 and 215368825?\nAnswer: 10493","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 2 z, and 1 t when four letters picked without replacement from jzjjtjjttjtztzztj.\nAnswer: 9\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((2\/(-5))\/(4\/(-2)))\/(574\/(-1230))?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - 16, -d = -0*d - t - 31. Let h be 295\/(-291) + -2 + 3. Let j = h + -6071\/2910. Find the common denominator of d and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (28\/56*10*(-12)\/(-10))\/((-16)\/(-40))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-55)\/(-1705)*-31)\/(3*(-2)\/(-168))\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.802351 + -100345222?\nAnswer: -100345209.197649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.33 - -2.36432. What is i rounded to 3 dps?\nAnswer: 0.034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -5675610, -11351213, -17026816, -22702419?\n\"Answer: -5675603*d - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z\/((z\/(z**(3\/7)*z*z))\/z))*z*z)\/(z*z*(z*z**25)\/z*z)*z**(1\/29)\/(z\/(z\/(z\/(z*z*z**(-8\/3)*z)))))**(-3\/29) assuming z is positive.\nAnswer: z**(17698\/5887)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 89 is divided by (-3)\/(3\/(-8)) - (282 + -281).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 + -1)\/(2\/(-4)). Suppose -o = 4, -2*j + o - 4*o = 24. Let a = -6 - j. Is s less than or equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-6\/5)*l)\/(l*l**(4\/9)) assuming l is positive.\nAnswer: l**(-74\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f + 25 = -2*f. Suppose -14*n = -9*n - 125. Suppose -3*b + 21 = 3*g, 2*g + 4*b = n - f. Solve -4 - 12 = -g*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 111293676 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 27 and 279891.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbqqbq. Give prob of sequence bqq.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -6*k. Let h(i) = 5*i. Let c(q) = 4*a(q) + 5*h(q). Let l(d) = 3*d + 59. Let g be l(-17). Let y(s) = 10*s - g*s - 7*s. Determine y(c(o)).\nAnswer: -5*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/12 and -27\/11445586?\nAnswer: 68673516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -20 + (-5 - -16 - -1) + 7. Does 20\/663 = g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/5? (a) 0.5 (b) -5 (c) -0.1 (d) 1\/3 (e) 0.017\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -4*v**3 + 3*v**2 + 2*v. Let k(f) = -4*f**3 + 2*f**2 + 2*f. Determine -2*h(x) + 3*k(x).\nAnswer: -4*x**3 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + 0 + 7 + -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 30 + -29.89. Let s = m - 0.21. Let n be -1 - (-4)\/(-22) - -1. What is the closest to s in n, -1, 0.3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes after 10:35 AM?\nAnswer: 7:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (4 + (sqrt(176) - (-4 + -2*sqrt(176))) - 2*(sqrt(176) + ((sqrt(176) + 4)*-5 - sqrt(176))))**2.\nAnswer: 4992*sqrt(11) + 32052","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 + 3\/(-12) - (-135)\/(-132). Do 1 and q have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/11 (b) 5\/8 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 - 1. Suppose m = i + 2. Suppose -5*y - 3*w = -13, 0*w - i = -w. Solve -5*b + y*s - 1 = 6*s, 0 = -4*b + 4*s + 28 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1111110010010 - -110010?\nAnswer: -1111101100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 113813\/6 + -19018. Let f = y + 49. Put 0.2, f, -4 in increasing order.\nAnswer: -4, f, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -123 = -20*h + 97. Calculate the highest common divisor of 451 and h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y - 0*y. Suppose 0 = -5*v + 4*w + 3329, -21*v - w + 2680 = -17*v. Suppose 2*j + s - 1348 = 0, j + y*j - 2*s - v = 0. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 - (-2)\/((-6)\/(-3)). Let g = -27 - -37. Solve -5*a - g = -d*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -69 and 13878 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -2*a - 19. Determine r(-16).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4037 + 4040. Solve 2*x = 3*m - 23 + 30, -a*x + 3*m = -6 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the third derivative of -61*l**4\/24 + 2*l**3 - 408*l**2. Suppose -3*n = 4*x + 12 - 0, 6 = -2*x - 2*n. Does 25 divide b(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 + (39 - 22) + 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes after 11:55 AM?\nAnswer: 5:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of -10463010 and -6.\nAnswer: 62778060","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -47467479.5 to the nearest 1000000.\nAnswer: -47000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 35 - 4 = 3*c + 4, 49*c + 111 = -i for i.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-76)\/6*-1)\/((24\/324*-18)\/(-6))\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9 and 819?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*r = 18*r - 17390. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 79.4 + -92.4. Sort 7, r, 0.4 in descending order.\nAnswer: 7, 0.4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -12*x**5 + 80*x**4 + 240*x**3 - 960*x**2 + 512*x = 0.\nAnswer: -4, 0, 2\/3, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 6780815 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes after 8:37 PM?\nAnswer: 3:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -28 - 2*o**3 + 52 - o**4 - 4*o**2 - 26 - 2*o**4 to the form v*o**3 + p*o**4 + s*o**2 + a*o + k and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/1116 and -83\/1860.\nAnswer: 5580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 14\/35 + (-744)\/(-465). Suppose 7*f - 15 = 2*f. Solve -g*t - f*t = -10 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27024, -108167, -243406, -432741?\nAnswer: -676172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 82587428*v**2 - 110072356*v wrt v.\nAnswer: 165174856","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6.9 + 20.7. Let h = 18.8 - p. Which is the nearest to 2? (a) 0.23 (b) -0.2 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.005 + 6.605. Which is the nearest to k? (a) -5 (b) 0.5 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 118937?\nAnswer: 7, 13, 1307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:44 AM and 8:22 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4893*k**2 - 1187592154*k + 1187592154*k.\nAnswer: -4893*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -y**5 - 1835*y**3 - 2*y - 4490 wrt y.\nAnswer: -20*y**3 - 11010*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83 - 26 = 19*j. Let g(z) = -z**3 - 3*z**2 + 8*z + 5. Let o be g(-4). Sort o, j, -5, 2.\nAnswer: o, -5, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (35\/(-14) - -3)*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62301.\nAnswer: 3, 19, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5\/3*l**2 + 1\/6*l + 5\/3 - 1\/6*l**3.\nAnswer: -(l - 1)*(l + 1)*(l + 10)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2069160 divided by 12?\nAnswer: 172430","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) 4 (c) 42\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8803987?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 10640605645 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -233372, -233372, -233370, -233366, -233360, -233352, -233342?\nAnswer: -233330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.437 - -17.037. Let j = i - 15.6. What is the fourth smallest value in 0.04, j, 4, 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1141 (base 6) to base 10.\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28151 is divided by 236.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n - 6. Suppose 4*c - 3*d - 1 + 4 = 0, 3*d = -2*c + 21. Suppose -x - c*x = -32. What is the units digit of o(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -aa408 + 1?\nAnswer: -aa407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 957 and 25020633?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 65165 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 596 - 596. What is the common denominator of 2\/6 - ((-1177)\/132 - p) and 89\/20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*b*j**3 + 197*b*j + 32*b + 106*j**3 + 11*j with respect to b.\nAnswer: -3*j**3 + 197*j + 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -9919238820 to the nearest one million.\nAnswer: -9919000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-13\/3)\/(l\/(l**(-2\/31)\/l)) assuming l is positive.\nAnswer: l**(-595\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 43*f + 38*f + 17, 7 = d + f. What is the remainder when 75 is divided by d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 + 6 = 4*m - 4*t, 4*t + 16 = 0. Let p = m + 13. Suppose d - 25 = -p*d. Solve -d*a + 29 = r, -3*a = -4*r - 3 + 4 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -9 (b) -200\/241277 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + 12, 3*v - 3*h + 20 + 7 = 0. Let l be 5 - v - (4 + -1). Let r be (-2)\/4*(2 + -6). Solve -4*g + l = r*c + g, -3*c + 3*g + 12 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -7534 - -3061?\nAnswer: -4463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 4534, 3, 5 in ascending order.\nAnswer: 3, 5, 4534","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 246 is divided by 113.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that r**3 + 116*r**2 + 1069*r + 954 = 0.\nAnswer: -106, -9, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 + -98?\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2869741 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) 0.72 (c) -11.767\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 395417b - -4?\nAnswer: 3954182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 821965 divided by -5\nAnswer: -164393","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 32*r**2 + r. Let g be a(-1). Suppose -2*s = 3*n + g, 14 = -3*s + 2*n - 0*n. Let t = 11 + s. What is the least common multiple of 11 and t?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 800877.92 to the nearest one hundred thousand.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 672392 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -2, 5, -4, -3 in descending order.\nAnswer: 5, -2, -3, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*l - 8*l + 3*p + 9, 6 = -2*p. Suppose 0 = 4*y - 12, l*k - 4*k + 99 = 5*y. What are the prime factors of k?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the second derivative of t**5\/20 - 11*t**4\/12 + 11*t**3\/6 - 17*t**2\/2 + 2*t. Suppose 62*b - 52*b - 120 = 0. Is w(b) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -150 + 192. Let y be n\/7 + (-13)\/2. Which is the nearest to -3? (a) -2 (b) 1 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 9*r**2 - 136*r + 4. Let q(f) = -f**2 + 19*f - 1. Let z(b) = m(b) + 7*q(b). Let u(w) = 4 - 3*w**2 + 3*w + w**2 - 1. Give 6*u(i) + 5*z(i).\nAnswer: -2*i**2 + 3*i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 3*i - 1. Let g(a) be the first derivative of -a**2\/2 + 6*a - 6. Let b be g(0). What is u(b)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -5*s + 3. Let u be (-2)\/1 - s*-5. Let o = 8\/3 - u. Put o, 0.5, -4 in decreasing order.\nAnswer: 0.5, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 4, e: 3, x: 6}. What is prob of sequence eexx?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = -3*v + 16*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -102540 + -4135?\nAnswer: -106675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 187 is divided by 79.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-288)\/240)\/(3\/(-10)). Is (9 - -17)\/(u\/662) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.5, 58, -253279?\nAnswer: 58","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -31 + 18 - 3?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -43530, -43047, -42564, -42081, -41598?\nAnswer: -41115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 44, 0 in increasing order.\nAnswer: 0, 1, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 38841?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 53123 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25 - 17 - 33)*(5 - 2 + 0)*(-4*l**3 + l**3 + 0*l**3).\nAnswer: 675*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 328 - 260. What is the greatest common divisor of k and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 113*v - 68*v**2 + 66*v**2 - 77*v - 26. Determine c(16).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 5*o**3 - 825*o**2 - 170*o + 293400 = 0.\nAnswer: -18, 20, 163","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 24\/1585 and 56\/115.\nAnswer: 36455","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2570*p - 143*p + 367*p.\nAnswer: 2794*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 divided by 3.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -26*d - 74. Let h be a(-3). Suppose 0 = 4*f - 5*x - 11 - 0, h*f = -2*x + 18. Solve 6*c - 2 = f for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 + -13 + 1 - -4\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1222920424 to the nearest integer?\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = m - 8. Let a be (m\/30)\/((-1)\/5). Calculate the remainder when (a\/4)\/(4\/104) is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from smlllmlmmlllslljl. What is prob of sequence ssj?\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3\/4622 - -54364\/85507. Calculate the common denominator of x and (34 - 24) + (-1805)\/200.\nAnswer: 1480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/19)\/(-1*-14*(-5)\/105).\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*m - 117, -277*f + 0*m = -273*f + 9*m - 339 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 4*b - 2*b = 46, -2*b + 22 = 2*k. Calculate the lowest common multiple of k and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/12 + 28\/120. Let k(d) be the first derivative of 5 + 3\/10*d**2 + 1\/15*d**3 - a*d - 3\/20*d**4 + 1\/25*d**5. Factor k(n).\nAnswer: (n - 2)*(n - 1)**2*(n + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*c*l*x**2 - c*l + 8*c*x**2 + 945*c - 43*l*x**2 - 1 wrt x.\nAnswer: -4*c*l*x + 16*c*x - 86*l*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1797080 to the power of 1\/3, to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -32.7 + 27. Let x = -6 - g. What is the closest to 1\/3 in -2\/5, x, 4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -5*v + 627, -3*v = -2*c - 118 - 259. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**3 + c**2 + c - 5. Determine d(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6912 + -3933. What is the thousands digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 257*b - 233*b - 404 - 316 = 0 for b.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5024 divided by 288.\nAnswer: 157\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -40 - -42. Let b be (12\/20)\/(k\/10). Factor 2\/3*a**5 - 2\/3*a + 0*a**b + 4\/3*a**2 + 0 - 4\/3*a**4.\nAnswer: 2*a*(a - 1)**3*(a + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the third derivative of -3*u**2 + 0*u - 1\/90*u**5 - u**3 + 0 - 1\/6*u**4. Factor z(j).\nAnswer: -2*(j + 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 33*o - 37*o + 12. Suppose -o*p = 140 - 158. What is the lowest common multiple of 11 and p?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**2 - 9*c - 1. Let i(l) = -l**3 + 2*l**2 + 2*l - 2. Let m be i(-2). What is the units digit of u(m)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 8 + 2 = -y, -3*y = -2*u. Suppose u = -3*t - v, 4*t = -0*t + 5*v + 15. Solve 0 = -2*m - 3*p - 2, t = m - 4*p - 0 + 1 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, -2\/5, -5452, 128 in decreasing order.\nAnswer: 128, 2\/5, -2\/5, -5452","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 91\/2 - (-57)\/(-114). Suppose -t = -3*p + 141. What is the smallest common multiple of 4 and p?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -19 and -47 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 485 a factor of 778757225?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 5*c**3 - 90*c**2 + 56*c + 181. Give k(17).\nAnswer: -312","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 814247?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the second derivative of -g**4\/6 - 2*g**2 - 10*g. Let k(h) = -2*h**2 - 5. Suppose 5*f = -5 - 0. Let l = -5 + f. Give l*v(a) + 5*k(a).\nAnswer: 2*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9, 28, 75, 162, 301, 504, 783, 1150?\nAnswer: 1617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -318 in -3, 2, -2\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s**4 - 1059*s**3 - 371685*s**2 - 42470425*s + 268433250 = 0.\nAnswer: -355, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(-6) - 130\/(-120). Factor -x*r**4 + 5\/4*r**2 + 5\/4*r**5 - 5\/4*r**3 + 0 + 0*r.\nAnswer: 5*r**2*(r - 1)**2*(r + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1527 - 2975*f**2 - 3053 + 1526.\nAnswer: -2975*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -11*z + 150. Determine d(15).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**2 - 7*j - 2. Let n be (-2 + -3 + 1)*(-14)\/8. Suppose -4*f + 5 = -n. Suppose -5*h - f + 48 = 5*i, 5*h - 33 = -i. Give k(h).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4.8 - -4.91. Let a = -2.19 - k. Let g = -0.7 + a. Is 3 greater than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15161 to the power of 1\/2, to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(4)\/sqrt(2) + 2 + -2 + -3) - 6*(sqrt(110)\/(sqrt(20)\/sqrt(4)))\/(sqrt(99)\/(sqrt(9)*-2)).\nAnswer: -3 + 13*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**4\/w*w\/w**(-2\/7)*w**(-1\/3)\/(w*w\/w**(1\/4)*w)*((w**(-1))**50)**(-31) assuming w is positive.\nAnswer: w**(130301\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -2*b**2 + 26*b + 18. Let d be ((-130)\/25 + 1)*80\/(-24). Give c(d).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:31 AM and 6:41 AM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -8849.\nAnswer: 2\/8849","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1.1 (b) 14 (c) 1\/3 (d) 4 (e) -20 (f) 0\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -101 + -112200101021?\nAnswer: -112200101122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -2*j**3 - j**2 + 3*j + 1. Let k(y) = 4*y**3 - 2*y - 2514. Let a(u) = k(u) + 3*p(u). What is the derivative of a(s) wrt s?\nAnswer: -6*s**2 - 6*s + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*d**2*m*u**3 + d**2*m*u - 3*d**2*u - 19*d**2 + 10*d*m*u**2 - 4*m*u**3 wrt u?\nAnswer: 24*d**2*m*u + 20*d*m - 24*m*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.13 - -2.13. Sort u, -3, -1\/4 in ascending order.\nAnswer: -3, -1\/4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 84*l + 92*l - 7 - 178*l to z + h*l and give z.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 85\/27 + -94\/27. Which is the nearest to -2? (a) f (b) 15 (c) -4 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = -5*k + a, -10 = 4*k - 2*a + 16. Let s = 7 + k. Put s, 2, 0 in ascending order.\nAnswer: 0, s, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 9 + -5 + 5 + -2. Suppose 32 = -0*l + 2*l. Suppose -l = -3*s - s. Solve s*b = n - 19, -b + 2*n + c = -2*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24*s - 19 - 12 + 26*s)*((-3 + 0 + 1)*(2 - 1 - 2) + 2 - 2 + 2)*(34*s + 19*s - 14*s + (-2 + 1 + 0)*(-2*s + 0*s + s) + 2*s + s - s).\nAnswer: 336*s**2 - 5208*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -58484 less than or equal to -58484?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 - -5.5. Let d = 0.5 + k. What is the closest to -0.1 in 1\/5, d, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + 4*m - 8 = -13*h, -23*m = 22*m - 46*m - 4 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3509440 to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -587 + 1164 - 108*y - y**3 - 584 in the form q*y**2 + h*y**3 + t + p*y and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -40, -68, -96?\n\"Answer: -28*k - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 + -3. Let x be (-2)\/a*3*2. Let y = 0 - 5. Put x, y, -1\/2 in increasing order.\nAnswer: y, x, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, i: 1, u: 2, f: 1, y: 2}. Give prob of sequence fiu.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 74*b**3*l**3 + 52912*b**3 - 2*b**2*l**2 - 372*l**3 wrt l.\nAnswer: 444*b**3 - 2232","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h + 2. Suppose 4*t + 22 = -2*b, -t + 2*b - 1 = -2*b. Calculate z(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the first derivative of h**3\/3 - 5*h**2 + 16*h - 4748. Calculate y(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:08 PM and 10:42 PM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(363) + (sqrt(363) + 1)*4 - sqrt(363)) + 4*sqrt(18)\/(sqrt(6) + sqrt(24)).\nAnswer: 4 + 136*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**2 - 3*m - 2. Let g be (16\/9 - (-8)\/36)\/1. Let h(s) = -38*s + 2*s**g + 37*s - 4 - 2. Let n be h(-2). Give j(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 237881?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1577 and 24319.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -12\/43 greater than -1434?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 943?\nAnswer: 23, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9? (a) -0.1 (b) 433 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {z: 2, l: 2, v: 2, e: 1, c: 4, a: 8}?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 246?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 take away 19.42238?\nAnswer: -14.42238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/((-1)\/(-1)*-2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1b1 + -1552?\nAnswer: -1361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10428 and 356268.\nAnswer: 28145172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -109) + (-50 + 25 - (-20 - -9))?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 5*j - 40. Give k(13).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84*k - 83*k + 3 = 4*q, -k = -q - 3 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 7*l**2 + 74*l - 3. Let n(a) = -5*a**2 - 72*a + 3. Calculate 3*n(g) + 2*t(g).\nAnswer: -g**2 - 68*g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -16, 2*y - 1160*u - 16722 = -1156*u. Round y to the nearest 100.\nAnswer: 8400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*(9\/(-27))\/((-4)\/(-12))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -388*v + 387*v - 4*n - 45 = 0, -4*n = 2*v + 50 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-110 + 110 + 17*d)*(6 + 0 + 5).\nAnswer: 187*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, r: 4, j: 10, m: 1, s: 1}. What is prob of sequence jrx?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -23 divided by 5507\nAnswer: -23\/5507","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.402 - 1.902. What is the second biggest value in -2, -1.9, -4, z?\nAnswer: -1.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(3\/2)\/b)**43*b**(-21)\/(((b**16\/b)\/b)\/b) assuming b is positive.\nAnswer: b**(-25\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 232275 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 k, and 1 p when three letters picked without replacement from {y: 1, k: 1, p: 1, t: 2, r: 1, d: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 + -9. Let x = 25.6 + -27. Let y = 1.6 + x. Which is smaller: y or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 134352 is divided by 33585?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1896228 and 1332.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**3 + t**2 - 1. Let f be (1\/((-6)\/(-4)))\/(4\/6). Let n(a) = -4*a**3 + a**2 + 1. Give f*q(b) - n(b).\nAnswer: 3*b**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/52)\/(0 - 12\/(-16))?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -4*r + 4. Is i(-10) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*c*y**3 + c*y**2 + 4*c*y - 1575*y**3 - 2*y**2 - 6*y + 403 wrt y?\nAnswer: -18*c*y + 2*c - 9450*y - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 181743259 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2965 + -2960. Sort j, -3\/5, -2.1, -4, -1 in decreasing order.\nAnswer: j, -3\/5, -1, -2.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 85 and 4480503?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -10*t**3 - 31*t**2 + 20*t - 12. Let d(v) = -3*v**3 - 10*v**2 + 7*v - 4. Let f(x) = -7*d(x) + 2*i(x). What is the units digit of f(-9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 2594\/23 (b) 4 (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * -415.1.\nAnswer: 415.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1880\/6 + (-10)\/(-15). Let p be k\/(-8) + (-7)\/(-28). Let a = -27 - p. Solve -4*r + a = -r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the first derivative of 46*k**5\/5 + 37*k**3\/3 + 9. What is the third derivative of y(g) wrt g?\nAnswer: 1104*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4584 - 1663. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 85580?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18565 + -18563. Factor -1\/5*d**4 + 0*d + 32\/5*d**x + 0*d**3 - 256\/5.\nAnswer: -(d - 4)**2*(d + 4)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 0*g**2 + 6*g**2 + 8 + 3*g + g**3 - 8*g. Give s(-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (15\/6 - 4)\/(8375\/400 - 21). Let n(u) = -14*u - 6. Let l be n(-5). Calculate the highest common divisor of l and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*m - 10 = 10*m. Suppose -t + 0*t = -3. Suppose -m*z + t*z - 12 = 0. Solve -3*j - z = j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 230 - 116. Does 21 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1497 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -2*x. Let l be q(-4). Let w be (l\/(-14))\/(2\/(-7)). Suppose a + 260 = 3*a - w*o, -4*a + 3*o = -517. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence loee when four letters picked without replacement from {l: 4, e: 2, o: 4, z: 2, k: 1, s: 1}?\nAnswer: 4\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 2*w = -8, 2*u + 4*w + 15 + 1 = 0. Let g = 141 - 136. Solve -5*o + 4*y + 0 = 5, -4*o + g*y + 5 = u for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 184 = -4*z, -7*z = -3*z - 3*x - 152. Let i(g) = 8*g - 3*g - 40*g**2 + z*g**2 + 2*g. Determine i(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*z + 15*z + 3*m = -14, -m + 18 = 4*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -16\/13, -0.8 in descending order.\nAnswer: 0.3, -0.8, -16\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2240 and 80.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - (-22 - -7)) + -10 + 1.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -78 (b) -1\/8 (c) 0 (d) -3 (e) 790 (f) 0.3 (g) 2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6*(-4)\/(-48))\/(((-6)\/(-21))\/((-32)\/28)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 439912*x**2 - 439912*x**2 + 11*x**3.\nAnswer: 11*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1)\/(-2))\/(1\/4). Suppose -1 + 5 = -m*g. What is the units digit of -2 + (3 + 14 - g)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and -0.043?\nAnswer: -0.043","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13920504.\nAnswer: 2, 3, 13, 44617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 78122395 and 13585?\nAnswer: 859346345","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 13 - 25*c - 20*c - 2 + 49*c - 27*c + c**2 as p*c**2 + r + t*c and give t.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 28\/220917 and -34\/15.\nAnswer: 1104585","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12752?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2266620358.\nAnswer: 2, 1133310179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 85440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5 or -37\/7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5 + 2*k + 0*k)*(-263*k + 48*k**4 + 263*k).\nAnswer: 96*k**5 + 96*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 3 = 4*q - 2, 2*q + 4*p + 20 = 0. Let r(h) be the second derivative of 0*h**2 - h + q - 1\/6*h**3. Let u(l) = -l. What is u(r(w))?\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 - (4 + (-16 - (-4)\/1)). Solve -p = p - b for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**3 - 8*v**2 - 7*v + 4. Suppose 0*g - 18 = g. Let k = 10 + g. Let q be r(k). What is the greatest common factor of q and 90?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 161*h = 2068 - 843 - 903 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 39*a + 31 - 45*a - 31. Let x(n) be the first derivative of -n**5\/60 + n**2\/2 + 1. Let r(j) be the second derivative of x(j). Give r(b(u)).\nAnswer: -36*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-23 + 8*v - 3*v + v - 5*v)*(-28 - 8 + 17) to the form r*v + o and give o.\nAnswer: 437","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from oiggooiggoigio?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 40469116 divided by -4\nAnswer: -10117279","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6591\/1940 - 1\/388. Suppose 4*d + 5*t - 5 - 6 = 0, -5*t = 5. Let s(i) = -i**3 + 5*i**2 + 6*i - 3. Calculate the common denominator of s(d) and n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -32 - 8*f + 3*f**3 - 2*f**3 + 31 in the form w*f + j + l*f**2 + z*f**3 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-157)\/(-5) - 6\/15. Suppose -5*y = 1 - q. Suppose y*o - 635 - 157 = 0. Does 12 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 (base 13) to base 11\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/4 of a year?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 148?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 2*b - 3. Let x be n(3). Suppose 5*w - l = -195, 5 = -x*l + 4*l. Let p = -151\/4 - w. Which is bigger: p or 0?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 4) to base 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -11*x**2 - 34*x - 10. Give w(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + 3*l + 28, u - 12 = -3*l - 16. Suppose x - 4*k = 1321, 3*x - u*k = -10*k + 4033. What are the prime factors of x?\nAnswer: 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from moddomldmo. What is prob of picking 3 d?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 10323956?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -301.7 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**2 - 3*w + 6*w + 0*w**2 - 2*w + 2. Determine h(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -417, -837, -1991, -4245, -7965, -13517, -21267, -31581?\nAnswer: -44825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - 4, 71*j - 3 = 75*j - 3*k. Which is bigger: 1\/807 or j?\nAnswer: 1\/807","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m and 1 o when four letters picked without replacement from mwmmoowmwmomooomow.\nAnswer: 49\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 9c (base 15) in base 2?\nAnswer: 10010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (14 - 78\/6)*13. Let i(o) = -2*o**2 - 72*o + 5. Let g be i(-36). Solve 16 = v*n - g*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 3*l = -45. Suppose z - l = -v + 4*z, 4*v - 28 = -4*z. Let x be ((-8)\/v)\/(5\/(-15)). Is x equal to 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 406959409 is divided by 1819?\nAnswer: 1815","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * -0.1471.\nAnswer: 0.02942","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.1 - 0.5. Put -1\/2, 0.4, 1\/2, z in descending order.\nAnswer: 1\/2, 0.4, z, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -50*o + 40. Let j(f) = 7*f + 42. Let x be j(-8). Let l be s(x). Suppose -5*i + l = 5*i. Is i a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9581, -19282, -29151, -39194, -49417?\nAnswer: -59826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 163 divided by -6300.\nAnswer: -163\/6300","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*f**3 - 28*f**2 - 173696*f - 13534128 = 0. Calculate f.\nAnswer: -118, 243","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 884 = 7*j. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 1815 = -2370. Suppose 192 = -5*f + a. Let m = f - 59. What is the greatest common factor of m and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*2*sqrt(88))\/((sqrt(2) - sqrt(96)\/sqrt(3)) + sqrt(2)))**2.\nAnswer: 1100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = 20*d - 5*d. List the prime factors of (-5)\/(-15) + 275\/d.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -4*v**2 - 3717. Let k(x) = -x**2 + 6. Give 6*k(j) - y(j).\nAnswer: -2*j**2 + 3753","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 1 s when three letters picked without replacement from xxsllslslsxlxx?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (0 + sqrt(432)\/(sqrt(9) + (sqrt(63)\/(sqrt(21)\/sqrt(3) + sqrt(7)) - sqrt(9)) + sqrt(9)))**2.\nAnswer: 58\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y = -y - 30 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*t**2 + 123*t**2 + 177*t**2 - 65*t**2 + 122*t**2.\nAnswer: 335*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the third derivative of 0 - 40*t**2 + 1\/300*t**6 - 1\/3*t**3 + 11\/60*t**4 + t - 7\/150*t**5. Factor j(s).\nAnswer: 2*(s - 5)*(s - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -9*c - 27. Let o be x(-3). Let y be (27\/23 - 1)\/2. Which is greater: o or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7875017954 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.5 (b) 3 (c) 2 (d) -451\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2501284?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 42*y + 13. Let i(q) = 22*q + 6. Give -4*a(v) + 7*i(v).\nAnswer: -14*v - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + -20. Let a be 51\/15 - (-8)\/o. Sort 5, -1, 1, a in descending order.\nAnswer: 5, a, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7120?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - 7 - (1 - -3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 812875 and 2476714.\nAnswer: 2167124750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4689 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 276237603.\nAnswer: 3, 2039, 15053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 362168 a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**3 - 5*q**2 - 2*q + 3. Calculate t(3).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16174\/169061 + -26\/293. Let x = 24827\/2308 - u. Calculate the common denominator of x and 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the first derivative of -110*v**5 + 3*v**4 + 2*v**3\/3 - 29*v**2\/2 - 16*v + 9797. What is the third derivative of o(a) wrt a?\nAnswer: -13200*a + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 376555664?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 436523.1kg in micrograms?\nAnswer: 436523100000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(165)\/sqrt(176)*-1)\/(sqrt(45)\/(sqrt(63)\/sqrt(7))*4))**2.\nAnswer: 3\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i - 7. Let u be r(5). Let f(k) = -3*k**2 - 12*k - 16. Let o be f(-6). Let q = o + 43. Sort u, 2, q.\nAnswer: q, u, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 410*z - 42 = 413*z, -4*m + 5*z = -133. Calculate the remainder when 102 is divided by m.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -59.98 and -4.\nAnswer: 239.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/2 (b) -9 (c) 0.3 (d) 0.9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**1\/l)**(-8\/9)*(l*l**(-2\/5))**(-17) assuming l is positive.\nAnswer: l**(-51\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -22 + 7. Let l = 14.991 + h. What is l rounded to two decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*h + 14*h - 2*i + 159 = -24*h, 0 = 4*h + 4*i + 192 for h.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-4 + (-1 + sqrt(700))*-5*-5 + 0 + 2*(sqrt(700) + 1) + sqrt(700))**2.\nAnswer: -15120*sqrt(7) + 549525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x**2 + x - 2 + 2 + (5 + 2*x - 5)*(-2*x + 4*x + x))*(-417*x + 1066*x + 876*x).\nAnswer: 12200*x**3 + 1525*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 51425 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 163111 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*r + 8 - 8)*(-r + 0*r - r).\nAnswer: 28*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 174 and 112327266?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5223376?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2408*v + 17820 = 1517*v for v.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (312\/(-88) + (-9)\/(-3))\/((-16)\/176).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 5 = 3*s. Let n(u) be the second derivative of -7\/2*u**s - 5\/6*u**3 + 19*u + 0. Differentiate n(t) wrt t.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, d: 1, i: 1, y: 3, z: 1, j: 5}. Give prob of picking 2 w.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/11 - (1\/19)\/(1056\/(-46592)*12).\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 + 216?\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the first derivative of y**8\/42 + 41*y**5\/120 + 11*y**3 + 33. Let w(x) be the third derivative of p(x). Find the second derivative of w(m) wrt m.\nAnswer: 480*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13 + -8. Let i(d) = d**2 - 5*d. Let z be i(f). Solve 2*n + z*n = 2 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the second derivative of 25\/6*r**3 + 1\/20*r**5 - 52*r**2 + 0 + 0*r**4 - 13*r. Find the first derivative of f(a) wrt a.\nAnswer: 3*a**2 + 25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, -3, 22, 752, 2 in descending order.\nAnswer: 752, 22, 4, 2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-48 + 206 + 20)*(-24*b**2 - 142 + 142) as t*b**2 + r*b + p and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-111)\/3108)\/(1\/12).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 2*a**3 - 7*a**2 + 7*a - 4. Suppose 0 = -u + 4. Let y be m(u). Let l = y - 16. Does 24 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4287671 is divided by 5664?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2167 and 4071005.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -695, -1155, -1615, -2075, -2535?\n\"Answer: -460*d - 235","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the second derivative of 5*n**7\/42 - 7*n**6\/3 + 29*n**5\/4 + 130*n**4\/3 + 50*n**3 + n - 194. Let y(r) = 0. Calculate r.\nAnswer: -1, 0, 6, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 - 3*s**2 + 6*s + 5. Let o be l(-4). Suppose -4*b - 24 = -i - 5, -4*b = -8. Let a be (6\/i)\/(2\/(-3)). Sort a, o, -5 in ascending order.\nAnswer: -5, o, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (17 + -15)\/((-1)\/(-16)). Suppose -3 = -5*k + a. Suppose 3*f - 4*v = 4*f - k, v = -3*f + 10. Solve 3*g - 3 = 5*g - 3*o, -2*o - f = -3*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8\/(-12) - 16\/(-24). Suppose q = 32*x - 4942 - 2034. List the prime factors of x.\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11801 + 4575. Let s = 43205\/6 + g. Let i = 14423\/7 + -2057. Find the common denominator of i and s.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1111\/4 + 277. Put 0, -13, o in increasing order.\nAnswer: -13, o, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(((-771)\/3084)\/(2\/((-8)\/(-3)))).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -47 - -50. Let u be 6\/4*(-2)\/(-3). Calculate the greatest common factor of u and y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*m = -5*h - 7*m + 1164, h + 5*m = 244. Sort h, 1, 5.\nAnswer: 1, 5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 7796, 3322 in increasing order.\nAnswer: -5, 3322, 7796","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f + f - r, 0 = 2*f + 4*r + 2. Which is smaller: -2 or f?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.0231, -4, 157, 6\/109?\nAnswer: 6\/109","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1092743.22 from -75275.\nAnswer: 1017468.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 4, g: 3, h: 1, x: 2, p: 4, o: 1}. Give prob of picking 1 g, 1 x, 1 p, and 1 h.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwhwssvvxjhhhhw. Give prob of picking 1 s, 1 x, and 1 j.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-3)*y)\/(y\/(y*(y*y**26\/y)\/y)) assuming y is positive.\nAnswer: y**24","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 913?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/((((w\/w**(-4))\/w)\/w)\/w))\/w**(-5)*w**4*w\/(w**(-1\/6)*w)*w)**(-35) assuming w is positive.\nAnswer: w**(-1925\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -69 + 3a89?\nAnswer: 3a20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7\/13 + 22\/65. Let z = -10.53 + 10.5. Sort z, d, 0.1 in ascending order.\nAnswer: d, z, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2495318129 to five decimal places.\nAnswer: -0.24953","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -67524, -136990, -206456?\n\"Answer: -69466*o + 1942","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3808509?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-113 - -107) + (-9)\/(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.75? (a) 8408 (b) -0.2 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 267, 8, 629 in decreasing order.\nAnswer: 629, 267, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of -1*3 - 1121\/(-59) and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -1.22.\nAnswer: -4.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d + 5*u + 70, -2*u + 3 = -4*d - 29. Let j(l) = l - 6. Let y be j(d). Sort 4, y, 5 in increasing order.\nAnswer: y, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 4*l = 2*l + 326, z + 74 = -4*l. Let n = z + 118. What are the prime factors of n?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 111 - 55. Suppose 6*l = l - v - 89, l + 4*v = -14. Let y = -10 - l. Calculate the highest common divisor of y and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -0.1296218?\nAnswer: -3.1296218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 + 92?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17\/((-14)\/6*(-870)\/1015).\nAnswer: 17\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*m = -228 - 102 for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -42*z. Let o be g(-3). Suppose 5*h - o = 4*h. Let w(k) = -k**3 + 6*k**2 + 11*k - 10. Let m be w(7). Calculate the greatest common factor of h and m.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the first derivative of -182*l**3\/3 - 172. Let o(p) = p. Determine o(f(z)).\nAnswer: -182*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the second derivative of 13\/2*z**2 - 1 + 5\/2*z**3 + 80*z. Let f(h) = h**2. What is f(g(q))?\nAnswer: 225*q**2 + 390*q + 169","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/9)\/c)**(-3\/2)*(c**6\/c)**(-5\/3) assuming c is positive.\nAnswer: c**(-13\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.35 times 0.239692?\nAnswer: 3.6792722","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -323 - 10?\nAnswer: -333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8)\/12 + 8\/3. Suppose -3*t + 3*g + 3 = 0, -4*g + 7 = -2*t + 3. Find the second derivative of v*u - 16*u**4 + 24*u**t - 14*u**4 wrt u.\nAnswer: -72*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) -5 (c) 6070 (d) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 8 and 0.01.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -72*s**5 - 16*s**3 - 10*s**2 + 3648*s - 10. Let n(c) = -c**5 - c**3 - c**2 - 1. Let x(z) = -h(z) + 10*n(z). Find the second derivative of x(k) wrt k.\nAnswer: 1240*k**3 + 36*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -346947229\/60 - -5783490. Let k = -3100\/3 + z. What is the common denominator of k and 29\/22?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbv when three letters picked without replacement from mpbbbbbvvpbb?\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -112282 or -673699\/6?\nAnswer: -673699\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 645830111 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - i - 6 + 7.\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-162)\/(-45) - (1 + 21\/(-15)). Find the second derivative of 5*h + h**v + 4562*h**2 - 4562*h**2 wrt h.\nAnswer: 12*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 44, -5, -23, -1 in ascending order.\nAnswer: -23, -5, -1, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -138*t**4 - 2*t**3 + 43*t wrt t?\nAnswer: -1656*t**2 - 12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 66597 a multiple of 170?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.1263 - 0.1263. Is -92.5 at most i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1246094 = -2*z - 2*u, 2492174 = 9*z - 5*z + 2*u. What is z rounded to the nearest 10000?\nAnswer: 620000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 26 + -23. Solve 0 = i + i - 5*s - 11, -l*i - 4*s = 18 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 18406 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -102021121 (base 3) to base 13.\nAnswer: -3988","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4549841178?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 1 = -3*t. Differentiate 4*q**4 + 4*q**4 - 3*q**4 - t with respect to q.\nAnswer: 20*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = -3*j - 2*j. Let l be (-2)\/j + (-180)\/627. Let d = 0.1 - -0.9. Put d, l, -0.4 in ascending order.\nAnswer: -0.4, l, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 8391 and 9.756858.\nAnswer: 8400.756858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -154.4 - -139. What is y rounded to the nearest integer?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 26 + -27. Let l(k) = 8*k + 8. Let n(a) = a + 1. What is t*l(p) + 10*n(p)?\nAnswer: 2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -597 and -7.6.\nAnswer: 4537.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 2*y. Let m(s) = 0 + 6 - 6 + 11*s. What is d(m(b))?\nAnswer: 22*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-16)*(-4640)\/(-1450).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.2 (b) -7.6 (c) -10 (d) -1 (e) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 (base 8) in base 11?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 38\/(19152\/(-1530)) + -5*(-21)\/35?\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 41088 by 3.\nAnswer: 13696","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-36)\/(-39))\/(34\/(-187)*-11)?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 152435563 - 3?\nAnswer: 152435560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-25)\/25 - (3 - (4 - 2))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4.06 + 4. Suppose -17 = -b + 1. Let n be b\/(-12) - (2 - (-34)\/(-4)). What is the third biggest value in n, f, 3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10222.7 - 10223. Which is the closest to -2? (a) -211 (b) 3 (c) 2 (d) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6\/8)\/(2\/16). Let u be ((-93)\/(-15))\/((-1)\/(-5)). Let f = u - r. Solve 2*t - f = -3*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 163*u**2 - 29*u**2 + 2*u**5 - 80*u**3 + 90*u**2 - 2*u**4 = 0.\nAnswer: -7, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*k**2 + k**2 - k**2 + 0*k**2 - 3*k**2 - 2 + 4*k**2 - 2*k**2 - 2 + 2 + (-2 - 3 + 7)*(2 - 2 - 2*k**2).\nAnswer: 6*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**3 + 6*f**2 + 7*f + 3. Let p be i(7). Let r(b) = -b**3 - 8*b**2 - 7*b + 3. Let k be r(-7). Differentiate -2*y**2 - p*y**2 + k*y**2 + 1 wrt y.\nAnswer: -4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6687 - -0.17785204\nAnswer: 6687.17785204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1042626?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from {q: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -422*i + 217*i + 203*i.\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 442 + -442. Solve 5*g + 3*a - 15 = d, 2*g = 4*a - 2 + 8 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 90189?\nAnswer: 3, 11, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 23.2 + -17. Let m = c - 0.2. Let r = -5.6 + m. What is the second biggest value in -1\/3, r, -2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**2 - 4*y + 7. Let p be v(-5). Let i = 0 + p. Suppose 7*q + 6 = 41. Sort q, 4, i.\nAnswer: i, 4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -103.11 - -103.11. Sort 5, -2\/15, 2\/7, 2, k in decreasing order.\nAnswer: 5, 2, 2\/7, k, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from elaeleeaeeeeeeeea. Give prob of sequence la.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) -4 (c) 4 (d) -0.51\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/4 (b) 6 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 2*y = 7 + 35, -36 = -3*d + 3*y. Suppose d = -4*o + 29. Suppose 0 = p + o*r - 3, -3*p = -p + 3*r - 6. Solve 2 + 1 = p*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (162\/(-60))\/(30\/(-50))*-2.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 54 and 25059708.\nAnswer: 75179124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the first derivative of -5\/7*z**2 - 1 + 2\/3*z**3 - 4\/7*z. Factor o(m).\nAnswer: 2*(m - 1)*(7*m + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 826.8278ug to kilograms.\nAnswer: 0.0000008268278","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 + -6. Suppose 83 - 110 = 9*j. Suppose -2*k - 3*k - b + 5 = 0, 0 = 2*k - 3*b - 2. What is the closest to k in 0.2, d, j?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8213 a multiple of 140?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/3, -134, -0.4, 0, -1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ws when two letters picked without replacement from skww?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 5, j: 1, m: 6, k: 3}. What is prob of sequence mmm?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 7055 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1138*q = 54*q + 28184 for q.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -21 + 32. Let p be 3*40\/6*-1. Calculate the smallest common multiple of d and ((-6)\/(-8) + -1)*p.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14181 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: -1161 (base 16) to base 5\nAnswer: -120244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1 - -6730842436\nAnswer: 6730842437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 212, 427, 640, 851, 1060?\n\"Answer: -n**2 + 218*n - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.1463654 rounded to three decimal places?\nAnswer: 10.146","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**3 - 4*n**2 + 6*n - 2. Let y be g(-5). Let u = -85 - -60. Let f = u - -20. Sort 4, -3, y, f in descending order.\nAnswer: 4, -3, f, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -469780, -469812, -469840, -469864, -469884?\nAnswer: -469900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14*j**3 + 12*j**4 - 12*j + 53*j**2 - 5*j**3 - 65*j**2 + 3*j**5.\nAnswer: 3*j*(j - 1)*(j + 1)*(j + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*f = 23*f + 57*f. Let h = 1 + -4. Sort -1, f, -2, h in decreasing order.\nAnswer: f, -1, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001153299013 rounded to six decimal places?\nAnswer: 0.001153","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -552806001.849855 + 552802350. Let w = -3618.85 - q. Let k = 33 - w. What is k rounded to five decimal places?\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -2*r**2 + r + 17. Let j(i) = -i**2 + i + 8. Let v(b) = -7*j(b) + 3*u(b). Suppose v(q) = 0. Calculate q.\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -390*o**2 - 1 + 686*o**2 + 432*o**2 + 150*o**2 + 446*o**2.\nAnswer: 1324*o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 396 and 90?\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -203 and -1011?\nAnswer: 205233","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 99*v**5\/4 + 1185*v**4\/2 + 2997*v**3\/2 - 687*v**2 - 6093*v\/4 + 189\/2 = 0.\nAnswer: -21, -3, -1, 2\/33, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 + (0 - -1) - 0. Let z = -5326\/357 - -252\/17. What is the third smallest value in z, 0.3, x?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.79 + 0.21. Let w = -9 + t. Let s = 1.69 - 1.19. Which is the second smallest value? (a) s (b) w (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 5, 6, 17, 44, 93?\n\"Answer: o**3 - o**2 - 3*o + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(50)*-5)\/sqrt(10) - (sqrt(720)*-1)**2 - (3 + 2*(sqrt(15)\/sqrt(3) + 4)))*-5.\nAnswer: 35*sqrt(5) + 3655","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - 4*d + 235 = -6*d + 267, 8*d + 16 = 0 for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/3545501 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-21)\/(-6) - 4\/8. Solve 2*h + q = -1 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4192 rounded to one dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 4*v**2 + v - 2. Let r be i(-2). Suppose l - 1 = 3*q - 4*q, q = -1. Suppose 2*u + 4 = 4*w, -3*u + 2 = -w - l. Solve -r = 2*x + w*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 123.89 + -124. Let p = -176 + 75. Let l = p + 101. What is the second biggest value in 3\/5, v, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5515 - 2?\nAnswer: 5513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate j**2*s + 637*j**2 - 541*j*s with respect to s.\nAnswer: j**2 - 541*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -530.05036 rounded to 2 decimal places?\nAnswer: -530.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - 11 = -4*n, 2*n + 2*o + 5433 = 5443 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 274813.\nAnswer: 7, 11, 43, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 + 0 - (-34)\/(-28). Let h(u) = -u**2 - 42*u - 148. Let g be h(-4). Suppose -g*x - 26 = -10. Is d not equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.2819046 rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 309.51 + 5.49. Let c = 314.547 - u. Let d = c + 40.653. Round d to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:30 AM and 4:42 PM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77823 is divided by 496?\nAnswer: 447","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -618, 4932, 10482, 16032, 21582?\nAnswer: 27132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-4)\/(-10))\/(-2))\/((-35)\/175).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 47 + 0 - ((14 - 2) + 592 + -619)\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + q**2)*(-185*q - 2 + 3 + 148*q).\nAnswer: -37*q**3 + q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -2*x. Let n(m) = 3174*m - 152. Let f(a) = -11305786*a + 541386. Let u(r) = -4*f(r) - 14247*n(r). Determine u(k(j)).\nAnswer: -6332*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 528872?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + 4 - 2*g - 13*g + 3*g - 2*g + (-7 + 5 + 11)*(3*g - g - 4*g).\nAnswer: -32*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -8 - 5. Let b = 16 - g. Solve -b*h = h - 12 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the first derivative of s**5\/15 - s**3\/9 - 25. Determine m so that g(m) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 13 + b8d15?\nAnswer: b8d28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4\/3, -0.11, 14\/9, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*a**2 - 3*a**3 + 4*a**2 + 8*a**2)*(2*a**2 + 0*a**2 + 0*a**2)*(4 + 1 + 1).\nAnswer: -36*a**5 - 60*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*d = 14*d + 2. Is 3 a factor of 15\/10*-1*d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6092?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 11483066?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 9a99 (base 11) to base 10\nAnswer: 13297","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**4\/6 - 11*g**3\/6 - 9*g**2\/2 - 25*g\/6 - 4\/3.\nAnswer: -(g + 1)**3*(g + 8)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the second derivative of -l**5\/20 + 7*l**4\/12 + 3*l**3\/2 - l. Let b be a(8). What is the units digit of (-18)\/b*(-8)\/3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5202041 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -976, -1009, -1068, -1165, -1312, -1521, -1804?\n\"Answer: -2*d**3 - d**2 - 16*d - 957","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 - -112551?\nAnswer: 112551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 4*d + 26 = 0, 0 = d - 0*d + 5. Let s(b) = 2*b**2 + b - 3. Give s(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2744.284ml in litres?\nAnswer: 2.744284","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/412 and -73\/20.\nAnswer: 2060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(2 + -1 - -1). Let a be (2 - b)\/(1\/(-3)). Is (-43)\/(-3) - (-1)\/a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-14 - 19 + 81)*(-5*h**3 - 2*h**3 + 2*h**3) as c + y*h**3 + v*h**2 + b*h and give y.\nAnswer: -240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1089677427 is divided by 1285.\nAnswer: 1282","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + 5 - 5 - -21?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -2*p - 24. Suppose 4 + 11 = 3*i. Let l be 3\/(-15) + (-74)\/i. What is the remainder when 20 is divided by s(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/4 (b) -5 (c) -2\/13 (d) 73\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dda when three letters picked without replacement from adadaaaddd?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -29*n + 25*n + 12 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*f + 1 = 1 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yytygyygyycgygn. Give prob of sequence ytg.\nAnswer: 16\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -291 - -292. Suppose 6 = x - 3*x. What is the nearest to z in 1, -0.5, x?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3937 rounded to the nearest 100?\nAnswer: 3900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -4*x**5 + 155136*x**4 - 3411136*x**3 + 3100872*x**2 + 3411140*x - 3256008 = 0.\nAnswer: -1, 1, 21, 38762","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cbzcnnmmnzcnnnmz. Give prob of sequence cnnm.\nAnswer: 9\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.5, -1\/37, -2\/19, 2515, -1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/36 and 97\/139298546?\nAnswer: 2507373828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 22.6 + -22.5055. What is c rounded to 2 dps?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1 - 786315311.\nAnswer: -786315310.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7479 = -288*o - 567 for o.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1123 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-154))\/(88\/(-154)).\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-2\/13)\/(j**5\/j)*(j**6*j)\/((j*j**(-1\/3))\/j) assuming j is positive.\nAnswer: j**(124\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 5 - 1)*(3 - 3 - a**2)*(35112 - 16*a**2 - 35112).\nAnswer: -32*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -12*h + 10*h. Suppose -8*n = -h*n - 35. List the prime factors of n.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 235*b + 233 + 491*b + 163 + 75*b wrt b?\nAnswer: 801","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -101*a - 7. Suppose -4*q - 71 = 3*v, -2*q - 9 - 35 = 2*v. Let n(p) = -p**3 - 18*p**2 - 16*p + 15. Let b be n(v). What is the hundreds digit of j(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*p + 38*p = 216 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 13*m**2 + 6. Let a be (13 + -16)\/((-1)\/(-1)). What is the hundreds digit of h(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 0 - m - m**3 + 0*m**3 + 1. Let x be 3\/((-4)\/(-8) - 2). Let w(j) = -12*j**3 - 11*j + 11. Give x*w(i) + 22*y(i).\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -20 + 231. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 14\/741, 3\/7, 317 in increasing order.\nAnswer: 14\/741, 3\/7, 317","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1*(1 + 2 + -3). Suppose p*t + 12 = 4*t. Solve t*y + u - 12 = 7*y, -3*y - 9 = -2*u for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 16376112?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-nine fifths of a litre?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3961.\nAnswer: 17, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/12)\/(3\/(-9))*0. Suppose 0*g - 5*z = -3*g + 34, 2*g - 5*z - 31 = i. Calculate the smallest common multiple of g and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 72c57 + 5?\nAnswer: 72c5c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69977 is divided by 4991.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 3*t - 11, 6*z - 5*z = -4*t + 14. Suppose -z*a = -3 - 5. Let o be (2\/3)\/((-1)\/(-24)). Solve a*k = -o + 4 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000002347 to seven decimal places.\nAnswer: 0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a**16)\/(a*a\/a**3))**40)**22 assuming a is positive.\nAnswer: a**15840","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*o**2 - 6204165*o + 55837242 = 0. Calculate o.\nAnswer: 9, 2068046","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -21408219, -42816440, -64224661, -85632882?\n\"Answer: -21408221*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -3*o + 3449. Is w(0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (46 - 180*v - 46)*(3 + 0 + 2)*(2*v - 3*v - 2*v + (-5 + 2 + 2)*(2*v - 3*v + 2*v) - v + 1 - 1 - 2*v + 6*v - 3*v).\nAnswer: 3600*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3553471?\nAnswer: 3553471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -84*x**2 - 4*x - 53. Let y(s) = 56*s**2 + 3*s + 36. Let j(o) = 5*b(o) + 7*y(o). Differentiate j(a) wrt a.\nAnswer: -56*a + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -56774 or -965138\/17?\nAnswer: -56774","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2027036 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.042 plus 5.6611?\nAnswer: 5.7031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 5*k - 2. Suppose -3*y - 10 = 5*a + 2*y, a = y + 6. Let t(w) = 21*w - 9. What is a*t(g) - 9*j(g)?\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -12530000 to the nearest 100000.\nAnswer: -12500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 224 = -35*c + 49. Let k = -13 + 0. Let z be (-3)\/3 - k\/12. What is the biggest value in 3, c, z?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 77 = -5*w, 2*c + 5*w - 3*w - 50 = 0. Let u be ((-3120)\/75)\/(-13)*30\/4. Let k = c - u. Solve b = -k - 1 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 11 = z, -z = -2*z + 5*w + 19. Suppose 2*f - 12 = z. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/9 of a day in seconds?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**3 - 10*m**2 - 10*m - 8. Let d be r(11). Suppose 69 - 15 = d*n. Find the third derivative of -5*q**3 + 9*q**2 - 18 + n wrt q.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j + 1. Let n be f(7). Let i be (n\/(-6))\/((-2)\/6). Let 0 - 1\/2*t**i + 0*t + t**3 - 1\/2*t**2 = 0. What is t?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/6804 and -151\/581742.\nAnswer: 1163484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/28*91098\/(-86760))\/(47\/8)\nAnswer: 3\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2\/13)\/(k\/k**(-2\/17)*k))\/((k*(k\/k**(3\/16))\/k)\/((k**(-1\/4)\/k)\/k)) assuming k is positive.\nAnswer: k**(-18861\/3536)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.00011 + -2. What is b rounded to 4 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 253 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18 - 19. Let k(y) = 2*y**3 + 2*y**2 - 2*y. Let x(j) = -j**2 + j. Determine f*k(l) - 2*x(l).\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in o**3 + 1120 - 2*o**3 - 9*o - 1120.\nAnswer: -o**3 - 9*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-7))\/3*(-3186)\/8496.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 + 11. Let w = -2925 - -2925. Put 3, w, d in ascending order.\nAnswer: w, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**1)**(-27)\/(v\/(v**(-3\/2)*v))**(4\/3) assuming v is positive.\nAnswer: v**(-29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.2 (b) -0.05 (c) -5\/24 (d) -5 (e) -3\/25 (f) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**2 - 420385*q - 840790.\nAnswer: 5*(q - 84079)*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-57)\/(-380)*5*(-2)\/4*-8. Solve -39*j = -r*w - 44*j, -5*w = 3*j for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 16*-10*(-1)\/76. Let c = f - 284\/171. Which is greater: 1 or c?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes after 12:16 AM?\nAnswer: 11:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/1706 (b) 2 (c) -0.5 (d) -1\/3 (e) 1 (f) 0\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 133 - 3*f**4 - 1133*f**3 + 1133*f**3 + (-2*f + 5 - 5)*(-8*f**3 - 53 + 53).\nAnswer: 13*f**4 + 133","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -62 or -5343\/85?\nAnswer: -5343\/85","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:24 PM and 6:47 AM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15 + 17. Solve u*s = 5*f, -f + 0 = 2 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 78 + -73. Suppose -141 = -z*m + 174. Is m a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 - 3*b**4 + (2*b + 0*b - 5*b)*(-3*b + 3*b - 2*b**3).\nAnswer: 3*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4426 = 240*u + 387*u + 1217 for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23*j**2 + 5*j**2 - 2*j**2)*(0 - 2 + 3)*(-3*j + 0*j + 2*j)*(2*j**2 - j**2 - 5*j**2).\nAnswer: 104*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vxrivum. What is prob of picking 1 u and 1 r?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9071840 by 56699.\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -240*u - 4634. What are the prime factors of r(-37)?\nAnswer: 2, 11, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 532 (base 9) to base 13\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15.7 + 15.3. Let s = 2801\/1862 - 4\/931. Which is the second smallest value? (a) 20 (b) s (c) 5\/3 (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1.2417, -243 in descending order.\nAnswer: 1.2417, 0, -243","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 4080801?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -830.44 to the nearest ten.\nAnswer: -830","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + 4*a = 6, 5*n - 4*a + 26510 = 26471 for n.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15637?\nAnswer: 19, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-145)\/75 - 51\/(-85).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 558 - 557.8. What is the closest to 2 in -5, 0.4, h, 0.05?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/20 of a day?\nAnswer: 12960","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -9422 - -987?\nAnswer: -8a9b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 49 = 45. Let p = -64 + q. Let a = 33 - p. Sort -7, 2, a in decreasing order.\nAnswer: a, 2, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 51*w + 501 + 2*w**2 - 11*w**2 - 50*w - 7*w**2 - 5*w**2 wrt w.\nAnswer: -42*w + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.3 + -0.77. Let b = k - -0.07. Let u = 15045.9 + -15046. Sort -0.6, -1\/5, u, b in decreasing order.\nAnswer: u, -1\/5, -0.6, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30\/(-12))\/((-2)\/((-8)\/(-2))).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 494 and 1586.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -23 + 25. Suppose o + 3*q = -6, -4*o + w*q + 37 + 9 = 0. Solve -2*x + 1 - o = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -y - 0*y + 14, 2*b + 4*y = 16. Suppose 12 - b = 4*d. Let g be (d - 12)*(-48)\/5. What is the greatest common divisor of g and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18618770 is divided by 139?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2\/5 - 8*q\/5 + 6\/5.\nAnswer: 2*(q - 3)*(q - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i + 3 + 1. Let f(x) = 11*x - 132. What is the lowest common multiple of i and f(14)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 + -3.6. Let v = 1.1 - 1.22. Let y = 0.88 - v. Which is the closest to y? (a) r (b) 0.3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 29473712?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/574514593 or -1?\nAnswer: -1\/574514593","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (24\/32)\/(39\/(-2704))?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 670161820 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6.4 + -7. Let a = k - -0.8. What is the second smallest value in a, 2\/17, 0?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes after 10:15 PM?\nAnswer: 9:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -5, 1\/2992 in ascending order.\nAnswer: -5, 1\/2992, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 193423 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 50\/15*(-96)\/(-80). Solve b = -f*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**2 - 316*d - 934. Let z be j(-3). Let c be (-1*3)\/(3 + -2). Sort c, z, -1 in decreasing order.\nAnswer: z, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-33) + ((-1498)\/8239)\/((-528)\/(-269) + -2).\nAnswer: 24\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1828479, 3656981, 5485483?\nAnswer: 7313985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 147 is divided by ((-92)\/48*2)\/((-9)\/54).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12 + 8. Let r = 3.72279 + 0.27781. Let b = r + d. What is b rounded to 4 dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-2 + 1 + 0)*-61?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 - 3*t**2 + 20*t - 14. Let p be s(-7). What is the highest common factor of 63 and p?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1766 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and 58.\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2407 + 0.\nAnswer: -2407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/68, 1\/22, -36, 8 in decreasing order.\nAnswer: 8, 1\/22, 1\/68, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - -4 - 0 - (-7 - -9).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 49808 + -28161. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 156 by 4.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 688 is divided by 173.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -9*d + 55. Calculate the least common multiple of 104 and v(6).\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 46875?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:43 AM and 2:00 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15.164 + -11.264. Which is bigger: f or -71?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 4245*n - 13810. Determine y(2).\nAnswer: -5320","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 divided by -143511?\nAnswer: 8\/143511","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*d + 41 = j, -d + 1212 - 1220 = -4*j for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 32 + 14?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand v - v + v + (-2*v + 1 - 1)*(1 - 2 - 1) - 2 + 2 + v - 1 + 1 + 3*v + (3 - 1 - 1)*(-2 + v + 2) - 3*v + 2*v + 0*v.\nAnswer: 9*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add together -275.804 and -0.4.\nAnswer: -276.204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 2*k - 3 = 0, 2*y - 4*k - 3 + 1 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 153.01 - 153. Let y = 2 - 2.01. Let i = y - g. What is i rounded to 1 dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1566295 + 4*t + 3132494 - 1566199.\nAnswer: 4*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 494*c - 1410. Let p be s(3). What is the greatest common factor of p and 472?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -83076.87 rounded to the nearest ten thousand?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1\/(-3))\/((1095\/45 - 19) + -6). Determine g, given that -1\/2*g**2 + g - o = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 525*f**5 + 1393*f**3 - 487680*f?\nAnswer: 10500*f**3 + 8358*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20 + 0 + -48 + -8?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 9, 2, -2\/13, 5?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17284.\nAnswer: 2, 29, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -2 + 2*j - 6*j + 3*j + 2*j. Suppose -2*y + 6 = -0*y. Calculate o(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*x**4 - 3*x**4 + 12*x**4 + 3*x**4 - 2*x**4 - 2*x**4 + 2*x**4 - 15*x + 15*x + (-3*x + 3*x - 2*x**3)*(-x - 2*x + x).\nAnswer: 11*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + -3 - (-1 - -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8\/19? (a) 2\/9 (b) 5 (c) -4 (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -13 + 1355?\nAnswer: 1342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.064 - 0.274. Let t = d + 1.19. Let r = 0.02 + t. Put r, 2\/7, -3\/4 in decreasing order.\nAnswer: r, 2\/7, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 3*z**3 + 84*z**2 - 35148*z + 69936 = 0.\nAnswer: -124, 2, 94","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(48) + 5 + sqrt(96)\/sqrt(2) + (-3 + sqrt(96)\/sqrt(2))**2 + sqrt(48) + (sqrt(1200) - (1 + sqrt(1200)))*1 + sqrt(1200).\nAnswer: 8*sqrt(3) + 61","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - 4*p + 7. Let u(c) = -2*c**2 + 13*c**2 + 2*c**3 + 3*c**3 + 5*c - 4*c**3 + 4. Let w be u(p). What is the greatest common divisor of 15 and w?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.01? (a) -11 (b) 354 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-5))\/2*(-32)\/16?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -190 or 3\/7?\nAnswer: -190","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -2*o + y - 34, -39 = -4*o + 5*y. Let r = -47 - -156. Calculate the remainder when r is divided by o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*x**3 + 41*x**3 - 41*x**2 + 41*x**2 - 79*x**3.\nAnswer: 5*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85 = -5*n + 3*r, -11*n + 48 = -9*n - 4*r. Suppose -273 = 11*s - n*s. Let a = -46 + s. Does 17 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-30)\/(-4) - (-5)\/10. Sort o, -5, 4 in ascending order.\nAnswer: -5, 4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 56*a. Let u be t(1). Let b = u - 38. Let j be (-1)\/4 + b\/8. Is 2 > j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**3\/9 - 280*m**2\/9 + 3944*m\/3.\nAnswer: -2*m*(m - 34)*(m + 174)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, -188, 4, -18719.\nAnswer: -18719, -188, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 7*q - 12. List the prime factors of w(7).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n = -3*y + 13, 4*n - 3*y - 9 + 14 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 5378641590?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 6421 to the power of 1\/2, to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 2*a = -8, 0 = 5*a - 3 - 2. What is the second derivative of 0*r - r - n*r**3 + 0*r + 4*r**3 wrt r?\nAnswer: 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 426, 1718, 3882, 6918, 10826?\nAnswer: 15606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1683 and 4938.\nAnswer: 2770218","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.1, -0.5, -2\/11, 1013, 0.02, 1?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (62475\/(-45900))\/(14\/(-9))\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2\/383 + -1518\/2681. Are 0 and o nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7606729.\nAnswer: 13, 29, 20177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -16*v - 2. Is x(-2) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -94 + 96 + (-2)\/10*12. Which is the closest to s? (a) -1 (b) -0.2 (c) 0.14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**3 + 46*n**2 - 2*n + 94. Let r(i) = 202*i + 6106. Let t be r(-30). Calculate v(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 271 (base 8) to base 5\nAnswer: 1220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, r: 1, g: 1, c: 5, t: 1}. Give prob of sequence ccch.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3048 is divided by 113?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -584 + -248. Let p = -473 - z. What are the prime factors of p?\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -23 (b) 0.2 (c) -5 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (251\/(-55722))\/((-4)\/24).\nAnswer: 1\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**2 + 2*x - 6. Let g(s) = -7*s + 6*s + 0 + 5. Let j(m) = -5*d(m) - 6*g(m). Find the second derivative of j(w) wrt w.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - 2*g - 10 - 2, -4*g + 16 = 0. Suppose -4*v + 11 + 1 = 0. Suppose 4*d - 20 = 4*w, 0*d + i*d + 7 = -v*w. Sort -3, -4\/5, d in increasing order.\nAnswer: -3, -4\/5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 198718?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - (-2 - (1 + -6 + 1))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -16*y + 21. Let x be u(-8). Suppose 153*r - x*r - 3340 = 0. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8519 is divided by 105.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 3*l**2 - 5*l + 45. Let w be r(-13). Suppose -o + w = g - 4*o, -5*g = -o - 3113. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-155)\/(-124))\/(-2*(-1)\/8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-5*(sqrt(95)\/sqrt(5) + sqrt(19) - sqrt(19) - sqrt(19))*5 + (sqrt(76)\/(sqrt(324)*2))**2).\nAnswer: 95\/324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.486 less than 0.5?\nAnswer: -1.986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71272492.\nAnswer: 2, 23, 47, 53, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**2 + 52*w - 64. Calculate the smallest common multiple of m(50) and 318.\nAnswer: 1908","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 9*w. Let t(x) be the first derivative of -x**5\/24 - 2*x**3\/3 - 10*x - 35. Let h(r) be the third derivative of t(r). Give h(z(m)).\nAnswer: -45*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73 is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.71? (a) 270 (b) -2 (c) 0.3 (d) -65\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2\/3 + 491*d\/3 - 164.\nAnswer: (d - 1)*(d + 492)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 66901 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -16*x**4 - 1452*x**3 + 15116*x**2 + 31512*x - 8800 = 0. Calculate x.\nAnswer: -100, -2, 1\/4, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.01 (b) 0.4 (c) 162 (d) 0.5 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-72)*4)\/((-3)\/9)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 25 = 35. Let k(a) = 11*a**2 - 5*a + 5. Let d(t) = -6*t**2 + 3*t - 2. Let o(v) = q*d(v) + 3*k(v). Differentiate o(n) with respect to n.\nAnswer: 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1449409 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3316738 a multiple of 226?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 + -1. Suppose 3*i - 6 + 0 = -r, 0 = j*r - 5*i + 27. What is the second smallest value in 0.9, r, -2, -0.4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 19 and 1?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the second derivative of n**5\/2 - 4*n**4\/3 - 7*n. What is the third derivative of z(j) wrt j?\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 64 - 34. List the prime factors of i.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.029253 to four dps.\nAnswer: 0.0293","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -68*y - 22. Let r(x) = -7*x - 2. Let c(f) = -m(f) + 10*r(f). What is c(4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 464.0247 micrograms?\nAnswer: 0.0000000004640247","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1064, 3, -5, -2, -107.\nAnswer: -1064, -107, -5, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let v = 271 - 271.5. Which is greater: -3\/19 or v?\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 93948?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, -0.1, 4, 2, -1\/3, -101 in increasing order.\nAnswer: -101, -1\/3, -0.1, 1\/2, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -21*u**3 - 5*u**2 + 6*u + 6. Let b(f) = 3*f**3 - f - 1. Calculate 6*b(a) + m(a).\nAnswer: -3*a**3 - 5*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4220594\/1507 or -2800?\nAnswer: -2800","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 14) to base 7\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/9873 and -127\/68182938.\nAnswer: 68182938","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 36845417?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1\/5, 2466, 9.\nAnswer: -3, -1\/5, 9, 2466","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -26 or -12?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -36051451\/264 - -136558. Find the common denominator of 25\/6 and r.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes after 11:01 PM?\nAnswer: 7:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 11248 to the power of 1\/3, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tttztthqhbbqttbzbqz. What is prob of sequence bbh?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-75 - (-113 + 101)) + 113.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 335 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 - 1 = -5*u. Let o(j) = -j**2 - 1436*j - 64. Let t be o(0). Which is greater: u or t?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 + -3. Let v(p) = -5*p**2 + 14*p - 5. Let k(l) = 4*l**2 - 12*l + 4. Let j(t) = -6*k(t) - 5*v(t). Calculate j(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -3 + 2*d + 0*d + 2 - 6*d**3. Let w be s(1). Let t = 5 - w. What is the remainder when t is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 3*r**2 - 56*r - 573. What is a(26)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 632, 628, 630, 644, 676, 732?\nAnswer: 818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2385 is divided by 1189.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1*-148700\nAnswer: 148700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/3)\/(1\/(-6)). Let q = 4 + j. Suppose -q*u = -3*u - 35. List the prime factors of u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6938733 is divided by 43367.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 26 = -2*u, 5*s = -u - 11 + 37. Let n(b) = b**2 - 7*b + 7. Let q be n(s). Solve -2*j + 1 = -q for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (525\/(-100))\/((-48)\/32*2\/4).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**3 + 3*y**2 + 2*y - 1. Let u be j(3). Let l(t) = t**2 - 7*t. Let v be l(u). List the prime factors of 33*(v\/6)\/(-5).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 579305?\nAnswer: 5, 115861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 464956223 to the power of 1\/2, to the nearest integer?\nAnswer: 21563","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 8064*z**2 + 44*z - 1073. Is u(20) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -21 - -38. Suppose 5 = 4*x - 3. Suppose 0 = -x*m + m + 9. What is the remainder when y is divided by m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4706 is divided by 4691.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11.6444 - -8.6444. Let y = -0.3 - -0.2. Which is the smallest value? (a) j (b) y (c) 0.15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 3 + 56*i**2 - 3.\nAnswer: 56*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:23 PM and 8:05 PM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16852 and 220.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 - 3b0?\nAnswer: -3a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 171.2091l to millilitres.\nAnswer: 171209.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5643 < 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4991108 or 4991114?\nAnswer: 4991108","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4.094 + 4.594. Let f(y) = -y**3 - 4*y**2 + 6*y. Let l be f(-5). Which is the closest to 0.1? (a) k (b) l (c) 20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -371701, -32\/7, 7, -1\/6 in increasing order.\nAnswer: -371701, -32\/7, -1\/6, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -3*i**3 + 16*i**2 + 64*i + 13. Determine t(8).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 816779 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 6*x - x. Suppose 11 = 5*j - v - 11, x = j - v. What is the third derivative of r**2 + j*r**6 - 3*r**2 + 0*r**6 + r**2 wrt r?\nAnswer: 480*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -406069.0847 - -406016. Let l = -0.0153 + b. Let v = -53 - l. What is the closest to -2\/5 in v, -0.5, -5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 347 = 36*c - 35*c, 0 = 4*i + 4*c - 688. What is the remainder when i is divided by 79?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -360, -345, -330, -315, -300, -285?\nAnswer: -270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes after 2:59 AM?\nAnswer: 5:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(252)\/sqrt(2) + sqrt(14) - sqrt(56)*3)\/(-2*sqrt(63) + sqrt(63) + 2*2*sqrt(7)).\nAnswer: -2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 2*b = 4596, 95*b = 3*n + 99*b - 6859. What are the prime factors of n?\nAnswer: 2293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/9 in 10, 0.2, -0.1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 2*j**3 + 90*j**2 - 10*j - 365. What is x(-45)?\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/7, 124, -0.553?\nAnswer: -0.553","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1548*i - 9802*i - 81765 - 296719 - 75516 for i.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 4*h = -9561, -2*x + 2*h - 7654 = -6*x. Let s = -500 + x. What is the thousands digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -573*m**2 - 3*m + 967.\nAnswer: -1146*m - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 66.00927 millennia in decades?\nAnswer: 6600.927","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1253024 from 57.0233.\nAnswer: -1252966.9767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -69702, 15, -10, -3 in increasing order.\nAnswer: -69702, -10, -3, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 9624 and 3.\nAnswer: 28872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 385*u - 35625 = -37935 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -220 divided by 10?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g**(-1)\/g))**14\/((g*g**(-5))\/g**(-4\/9))*((g**(-2\/3)\/g*g)**(-3\/11))**44 assuming g is positive.\nAnswer: g**(482\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(54)\/sqrt(6))\/(6*(sqrt(3) + sqrt(27))) + -5.\nAnswer: -5 + 5*sqrt(3)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -66*z + 38. Let g(m) = -44*m + 30. Determine 8*g(l) - 5*r(l).\nAnswer: -22*l + 50","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (480\/(-84))\/((-29)\/(9338\/92)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p**2 - 4740*p**3 + 21571*p**3 - p**2.\nAnswer: 16831*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*h - 3*h + h**2)*(-3 + 144082*h + 1 - 180259*h) to the form a*h**2 + v + t*h + c*h**3 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t - 4*t + t)*(322*t - 706 + 706).\nAnswer: -1932*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the second derivative of 4*f**3 - 249*f**2 - 24*f. Let n be h(21). Let j be (-82)\/(-4) + 2\/(-4). Solve n*x - j = x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 133658, 266385, 399112, 531839?\nAnswer: 664566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 3*x - 25. Let t be c(5). Let v(g) = 16*g**2 - 14*g - 19. Is v(t) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 149 - 101. Let q = 37 + g. Suppose -q*r = -87*r + 4. Calculate the greatest common divisor of 50 and r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -41*o - 2. Let y(t) = -21*t - 1. Let r(z) = -6*p(z) + 11*y(z). Let f = 4 - 3. Does 9 divide r(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 534871.9l?\nAnswer: 534871900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 119884274.\nAnswer: -3\/119884274","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 127 - 113.23. Let k = 0.23 + m. Let y = k - 13.996. What is y rounded to two dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-3*sqrt(528)*-2)\/(sqrt(99)\/(-6*sqrt(81))).\nAnswer: -432*sqrt(3) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/115 or 1?\nAnswer: 1\/115","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -4*2\/(-8)*6\/(-3). What is the closest to o in 4, -3, 0.3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y\/(y*y*y**(2\/35))))\/(y\/((y\/y**(2\/13))\/y*y*y)*y)*y**(-8\/3)\/(y\/(y\/y**(-6\/13))) assuming y is positive.\nAnswer: y**(-412\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes after 1:16 AM?\nAnswer: 12:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the second derivative of w**4\/12 + 5*w**3\/3 - 10*w**2 + 798*w. What is a(-12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6844478.\nAnswer: 2, 23, 148793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 76908, 20 in decreasing order.\nAnswer: 76908, 20, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 214 - 2?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -20*d + 154. Calculate q(6).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2705403 to the nearest integer?\nAnswer: 1645","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4959761?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:40 AM and 4:46 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10 and 985?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.6 + -0.4. Let z = 0.11 - -0.49. Is z equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*n - 76 = 5*n. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6569342, 6569353, 6569364?\nAnswer: 6569375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2372*y**2 + 165*y**3 + 2372*y**2.\nAnswer: 165*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13017 is divided by 35?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 66*o - 135*o - 4 + 57*o + 38*o in the form v + s*o and give v.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -61\/2 + 31. Let p(f) be the second derivative of 0 - 1\/3*f**3 - i*f**2 - 2*f. Give p(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -23 - 427. Is 25 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 38*c - 40*c - l + 1, 5*c - 5*l + 5 = 0. Solve c = 20*p - 17*p - h + 17, -h = p - 1 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.012719360545 rounded to seven dps?\nAnswer: -0.0127194","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -443*a**2*z**2 - 1143*a**2*z - 4*a**2 - 2*a*z**2 + 150*a*z - 601*a + 7*z**2 wrt a?\nAnswer: -886*z**2 - 2286*z - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 + 4*r**2 + 8 - 98*r + 365*r.\nAnswer: 4*r**2 + 267*r - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20941.\nAnswer: 43, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.2, -3, 5\/3, -3\/5?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 8*p + 2. Let v be u(-5). Let d = v + 72. Let n be 360\/(-54)*(-48)\/10. Is n equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1544 is divided by 156.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 41\/198 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 150724134 from -6.7.\nAnswer: -150724140.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 5680424, 11360906, 17041388, 22721870, 28402352?\n\"Answer: 5680482*r - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -2*d + 2 + 6, 3*p + 4 = d. Suppose -28 = d*w - 604. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - 58 + 52. Suppose -2*z = -4, 0 = -0*w + j*w + 4*z - 17. List the prime factors of (-67)\/((5 - 8)\/w).\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**2\/7 + 68750769*d + 481255380\/7.\nAnswer: 3*(d + 1)*(d + 160418460)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 - -4. Let o be (2 + 2)*(-6)\/232. Do r and o have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(1 + (-1309)\/1321). Let v = -220 - f. Solve -2\/3*l + 1\/3*l**2 + 4\/3*l**3 - 2\/3*l**5 - v - 1\/6*l**4 = 0 for l.\nAnswer: -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 315115 a multiple of 589?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -333 = 4*a + 3*f, 0 = 3*a - 4*a + 3*f - 87. Let x = 452 - 310. Let s = x + a. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -4*u**2 + 2*u + 4. Suppose 0 = -w + j, 18*w + 6 = 17*w - j. Let q(m) = 7*m**2 - 3*m - 7. What is w*q(a) - 5*k(a)?\nAnswer: -a**2 - a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -8*u + 22. Give c(8).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/33 and 149\/380262.\nAnswer: 4182882","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -19.68 from 8.\nAnswer: 27.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 377 and 1110031.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12276 and 21582.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2312 + 2312. Let i = -0.203 + 8.303. Is c bigger than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33703715.\nAnswer: 5, 6740743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.4929 - -0.0929. Sort -3\/7, 0.4, -4\/13, u in decreasing order.\nAnswer: 0.4, -4\/13, u, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uquuq. What is prob of sequence uuq?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-1\/6)*h)**(-18))**(1\/7)\/((h**(1\/3)*h)**(-22)*(h**(1\/10)*h)\/(h*h\/h**9*h)) assuming h is positive.\nAnswer: h**(4219\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-78)\/40*2)\/(2484\/(-8280))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/(t*t**(-2)*t)*t)\/t**(-1\/2)*(t**0)**(-2\/179))**(2\/7))**(2\/41) assuming t is positive.\nAnswer: t**(10\/287)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, 13388.\nAnswer: 0, 1, 13388","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 797?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57780.\nAnswer: 2, 3, 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 30 + 15. Let p = -22 + a. Let g = -8 + p. Calculate the highest common divisor of g and 120.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4628 + -4631. Which is the second biggest value? (a) 1 (b) o (c) -1 (d) -0.014\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 4*o = -6, -7 = 5*g - 2*o + 3. Let l(q) = q**2 + q. Let w(p) = 2*p**3 - 11*p**2 - 11*p + 2. Let j(t) = g*w(t) - 22*l(t). Differentiate j(z) wrt z.\nAnswer: -12*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9.1671124*-4.\nAnswer: 36.6684496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**2 - 20*d + 2. Let t be b(20). Let n be ((-14)\/84)\/(t\/9). Let g be 13\/3 + 1\/(-3). What is the third smallest value in g, 1, n?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 355*i - 386*i + 248 = 0 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29076 divided by -9692.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 64, -3679 in increasing order.\nAnswer: -3679, -1, 64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3 + 1*(3 - -16). Suppose -3*g = -2*x - 17, -2*g + 4*x + 0*x + 22 = 0. Suppose 5*s - s - f = -g*u, -3*s - 5*u + 12 = 0. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 12*j + 140 = 0, 0 = -44*m + 39*m - 2*j - 29 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a - 1. Suppose 5*t = 2 + 23. Let m be k(t). Suppose m*n = n. Solve 7*q + 16 = 3*q, -4*l + 2*q = n for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18 - (12 - 11 - 13)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 4*u - 421 = 0, u - 48 - 92 = -p. Suppose 11*a - 136 = p. Solve 3*m = m + z - 10, -3*m = -4*z + a for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 2 + 0)*(-l**4 + 0*l**4 - 2*l**4) to the form k*l + m + c*l**2 + y*l**3 + s*l**4 and give s.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.7798 + 0.7798. Which is the closest to g? (a) -2 (b) -0.4 (c) 0.8 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1294630 and -103680.\nAnswer: 1190950","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 32*m**3 + m - 2*m - 24*m**3 - 8*m**2 - 7 - m**2. List the prime factors of t(4).\nAnswer: 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 u when two letters picked without replacement from vivvviviivviuviiivvv.\nAnswer: 11\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {u: 3, r: 4, h: 10, k: 1}?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 25 - 7*k - 61 + 11 + 26 as l*k + p and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13332\/(-808)*54\/33?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-9)\/(-2) + (-5)\/10. Suppose 0 = -3*u + l + 2, -u + 9*l - 10 = 6*l. Suppose -5*s = -d*c - 255, -5*s = -0*c + u*c - 255. List the prime factors of s.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -31.0550421 and 22.3.\nAnswer: -8.7550421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -121, -131, -143, -157, -173, -191?\nAnswer: -211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*j = -31*j + 48. Let w(m) = m**3 + 17*m**2 + 18*m + 40. Let d be w(j). Is 6995\/15 + 2 + d\/(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 484365 and 2205?\nAnswer: 735","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6877 is divided by 3222?\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 550 = 8*n - 81*n + 23*n for n.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30872 divided by -16409.\nAnswer: 30872\/16409","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10110 + -31?\nAnswer: -10201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-6))\/(21\/(-63))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -242 - 143 + 383 + 47*h. Let s(c) = 7708*c - 329. Give -2*s(v) + 329*t(v).\nAnswer: 47*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**5)**(1\/33)\/(m**0\/m*m)**(2\/79))**(-1\/54) assuming m is positive.\nAnswer: m**(-5\/1782)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*s = 2*m - s + 2, -2*s = 3*m + 3 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 44*q**2 + 14 - 1 - 34*q**2 wrt q?\nAnswer: 20*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -5 (b) 6023 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*i = 5*r - 77, 0 = -r - 29*i + 26*i + 19. Let k(g) = 2*g - 41. What is k(r)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -5*q - 3. Let h be m(-5). Let y(w) = -1333*w + 269475. Let b be y(202). Calculate the greatest common divisor of b and h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11 + 12. Let s = q + -4. Is (-7)\/((s\/183)\/1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**2 - 2*n - 5. Let d be l(0). Calculate the remainder when 27 is divided by ((-3)\/2)\/(d - (-282)\/60).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gnggggggggngg. What is prob of picking 2 g?\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 + -20. Let k be r\/6 + (-1 - -1). Let y(n) = -2*n + 3. Let t(g) = -g + 3. Let z(d) = -6*t(d) + 5*y(d). What is z(k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 431527?\nAnswer: 227, 1901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 2*a = 15, -a + 15 = 4*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -3, -198 in increasing order.\nAnswer: -198, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + 1. Suppose 4*j - 5*j = -2. What is the derivative of -2*s + 2 - j + k wrt s?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 3, c: 4, p: 2, k: 6, s: 1}. Give prob of picking 3 c and 1 d.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.0498 times 252\nAnswer: -12.5496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-49)\/28)\/7*(-8)\/6.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-25)\/5 - -3 - -6. Suppose 6*i - o*i = 8. Solve 0*l = -l - i for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -52242 divided by 4.\nAnswer: -26121\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -729*c**3*z + 43*c**3 - c*d*z + c*d - 209*c - 5*z + 2 wrt z.\nAnswer: -729*c**3 - c*d - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 39767 - 39773. Let q(f) = 6*f + 3*f**2 + 3 - f**2 + 1. Give q(p).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2002033 - 210?\nAnswer: 2001223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 313*g - 43*g + 75*g = 4017870. What is g rounded to the nearest 1000?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 17 and 9.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the first derivative of 3*u**2\/2 - u - 1. What is the units digit of y(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/7 (b) -38 (c) 3\/19 (d) -0.4 (e) -4 (f) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26339.48 meters to nanometers.\nAnswer: 26339480000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*y - 165 = 143. Is 3614*(y\/4)\/(-7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 458875?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.02 (b) 0.2 (c) 4 (d) 4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -295578612 divided by 5348?\nAnswer: -55269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -966 or 1\/2395481?\nAnswer: 1\/2395481","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000018844853 to five decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3 + 4 + -6 + -5 + 5. Which is the third smallest value? (a) -0.5 (b) -1\/10 (c) -25 (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -12*j + 22. Let o be z(-13). Suppose m = -11*v + 8*v - o, 0 = v. Let n = 18 - m. List the prime factors of n.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -117610 rounded to the nearest 1000?\nAnswer: -118000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 5 (b) -2\/9 (c) 3 (d) -37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the first derivative of -6*x + 1 - 1\/3*x**3 - 5\/2*x**2. Let p be g(-4). Let y(z) = -z**3 - 3*z**2 - 3*z - 2. Determine y(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 395.\nAnswer: 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - -15 - (-29 - -27)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.167 times -2100613?\nAnswer: -350802.371","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q + 2*q - q)*(q - 4*q + 6 - 7).\nAnswer: -9*q**2 - 3*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*x + 157 = 97 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -41, -2, -9, 14, 5, 3 in descending order.\nAnswer: 14, 5, 3, -2, -9, -13, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**3 - 18*g**2 - 68*g - 165. Give w(-14).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b + 6. Suppose 15 = -12*a + 13*a. Suppose 8 = 7*j + a. Is j less than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -69 - -71. Suppose -2*q = 3*c - 7, 0 = -2*q + i + 8. What is the tens digit of (-9)\/(36\/(-184)) + c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 588.14 + -588. Which is the closest to -4? (a) -0.4 (b) u (c) 0.04 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**4 + 9*k**2 - k + 1. Let t(v) = 967*v**4 + v**3 - 45*v**2 + 1036*v - 5. Let p(s) = 5*o(s) + t(s). Find the second derivative of p(b) wrt b.\nAnswer: 11544*b**2 + 6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1887\/65 + -144\/5. Let a(t) = t - 2. Let p(j) = 2*j**2 + 2*j - 1. Let i be p(1). Let h be a(i). Which is greater: o or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -132561 by -33.\nAnswer: 4017","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zi when two letters picked without replacement from {i: 4, r: 4, z: 3}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (13 - (22 - 23)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 132 = -5*m, -2*m + 60 = 3*d + 2. What is the remainder when 107 is divided by m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3801 and 294.\nAnswer: 53214","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2333 * -0.4.\nAnswer: 933.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/7 - 60\/(-14). Suppose -3*p = 3*w + 15, 0*p = -2*p - w - 6. Let g = 2348.7 - 2349. What is the second biggest value in p, g, f?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - 11*c = -6*c - 24, 4*c - 10 = -2*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aqr when three letters picked without replacement from {a: 3, q: 3, r: 7, k: 6}?\nAnswer: 7\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -18739 to the nearest 100.\nAnswer: -18700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 83557, 83560, 83565, 83572, 83581, 83592, 83605?\nAnswer: 83620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -880\/17 or -52?\nAnswer: -880\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-104)\/(-8) - 3*1. Suppose -3*p = -8*p + k. Solve -2*m - 4*w + 2 = 0, -10 = 4*w - p for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(1\/5)*f**(-1\/2)*f)\/(f\/(f\/((f\/f**(1\/6)*f)\/f))*f**(-5)) assuming f is positive.\nAnswer: f**(73\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1050221542.\nAnswer: 2, 19, 37, 746957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 10345156 (base 7) in base 2?\nAnswer: 11011000001001111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - -2) + (-1 - (9 - 1)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -387*d + 776*d - 386*d. Let a(z) = 16*z**2. Calculate m(a(o)).\nAnswer: 48*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -11110001001001111 (base 2) in base 14?\nAnswer: -32dd5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 9) to base 4\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 13*c + 1. Let p be y(-3). Let t = p - -82. Let v(w) = -w**3 + 6*w**2 - 5*w + 3. Calculate the remainder when t is divided by v(4).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1441849 to the power of 1\/2, to the nearest integer?\nAnswer: 1201","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2051*r - 165343 - 147510 + 128263 for r.\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -35 + 39. Let v(p) = p**2 + 3*p + 2. Let l be v(-3). Let j(o) = -4*o**l + 7*o**2 + s*o**2 - o**2. Let a(t) = -2*t**2. Give j(a(x)).\nAnswer: 24*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 323 - 321. Solve 2*p = 3*a - 12, 3*p + g*a - 20 = -3*a for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(42)\/sqrt(6) + sqrt(42)\/(sqrt(6)*4))*5.\nAnswer: -95*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1144a11 (base 11) to base 15.\nAnswer: -296db7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 14 or -1.6?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(((-5)\/(-20))\/((-1)\/(-2))).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2742*a**4 - 2866*a wrt a?\nAnswer: 32904*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 184\/168 - ((-640)\/(-105) - 6).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-1)*y*y\/(y*y**(-11\/2)\/y)*y*y*y*(y\/(y\/y**(-2\/55))*y)**41 assuming y is positive.\nAnswer: y**(5391\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:04 PM and 6:45 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 7561751 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -408709, -817591, -1226473?\n\"Answer: -408882*f + 173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11 and 583.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -2\/5, -4793, -0.2, 0.5, -5, -4?\nAnswer: -4793","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 739319 and 19603878?\nAnswer: 607720218","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (-6 + 68835\/(-10))*11\/((-165)\/50)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 3*q - 22. Let c be x(8). Let m(a) = -17*a**2 + 2*a + 3. Let i be m(c). Let o = i + 280. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 5*s + 9. Let v(h) = 8*h + 32*h + 26*h + 117. Let j(q) = -2*v(q) + 27*z(q). What is the derivative of j(x) wrt x?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.1 (b) 2\/5 (c) 3 (d) -6\/31 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 36431*b**2 + 13*b. Let w(g) = 14574*g**2 + 5*g. Let s(k) = -13*w(k) + 5*z(k). Let a(l) = -2*l. Determine s(a(i)).\nAnswer: -29228*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2470770 a multiple of 135?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4338 is divided by 35.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(510)\/((-3*sqrt(90) + sqrt(90))\/sqrt(9)))\/(sqrt(3) + (sqrt(3) - sqrt(147)*-2) - sqrt(9)\/(sqrt(9)\/sqrt(3))).\nAnswer: -sqrt(17)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 41429 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 42644 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 - 19. Let d = t + 21. Let j(l) = -l**2 + 5*l + 17. Let n be j(d). Solve 5*i - 15 = 0, -9 = 4*q + n*i - 6*i for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**3\/3 - 227*d**2 - 27813*d - 2851015\/3.\nAnswer: -(d + 73)**2*(d + 535)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -ac - 2a846?\nAnswer: -2a925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 2*o = -8. Suppose 14*k - 20 = 19*k. Let m be (2 - (-1 - o)) + (k - -8). Solve -2*i = -3*y, -m*i - y = -3*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 58*a - 4. Let s(r) = -4*r. Let g(n) = -2*l(n) - 28*s(n). Let y(z) = -3*z + 7. What is -6*g(c) + 7*y(c)?\nAnswer: 3*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 309 = 313. Let r = -45 - -137. Suppose -a*n + r = -0*n. What is the remainder when n is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the first derivative of -n**3\/33 + 2*n**2 - 84*n\/11 + 1553. Factor v(z).\nAnswer: -(z - 42)*(z - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjsj when four letters picked without replacement from sjjiijiisjsijsijij?\nAnswer: 7\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -24 - -23.8. Which is the nearest to -0.1? (a) -5 (b) u (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-10625)\/(-20) + 2\/(-8). Suppose 3*t + a - x = -2*a, a - 541 = -3*t. Is 12 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 19*q**3 + 18 + 13 + 3*q**2 - 2*q**2 - 5 wrt q.\nAnswer: 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/2)\/(-9*(-4)\/18).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13207?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2361, 2370, 2379, 2388?\n\"Answer: 9*b + 2352","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -19.7 - 0.1972\nAnswer: -19.8972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -9*f**5\/2 - 24*f**4 + 58*f**3 + 33*f**2 - 75*f\/2 + 7 = 0.\nAnswer: -7, -1, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*i**3 - 21*i**3 - 639*i**2 - 13*i**3 + 73*i**3 - 19*i**3 - 4.\nAnswer: -i**3 - 639*i**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 178553 and 7661.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10572 is divided by 3521.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -357.07 - -357. Which is the closest to 0? (a) n (b) 0 (c) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1613 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: b\"What is the lth term of -17881, -17944, -18007, -18070, -18133?\n\"Answer: -63*l - 17818","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9.454 - -9.4. Let k = -0.154 - r. Which is the second smallest value? (a) -0.5 (b) -3 (c) k (d) 2\/65\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6, 351, 928, 1737, 2778?\nAnswer: 4051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1548 a factor of 9212073?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -7 + -2 + 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10.59 - 9.9. Let r = q - 55.69. Let c = -66.5 - r. Round c to the nearest integer.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -1 + (1 - (-52 + 0)) is divided by ((-36)\/10)\/(6\/(-30)).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**14)\/((f**(1\/10)\/f)\/f) assuming f is positive.\nAnswer: f**(-111\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -8858 + -1?\nAnswer: -8859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -848, -3380, -7598, -13502?\nAnswer: -21092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**3 + 13*t**2 + 8*t - 25. Does 13 divide z(13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2379 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 15 = 4*z + 7, 5*o - 3*z = 46. What is the third derivative of -10*r**2 + o*r - 6*r**2 - 13*r + 2*r + 71*r**3 + 74*r**2 wrt r?\nAnswer: 426","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4211 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4644.99999972498 - -4645. What is z rounded to 7 dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1235\/28 - 300\/7. Sort -2\/9, 0.5, s in ascending order.\nAnswer: -2\/9, 0.5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n + 8. Let q be f(4). Suppose -77 = -5*k - 3*x, -x = -3*k + q*x + 53. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*l**3 - 4*l**3 + 3*l**3 + ((1 + 1 + 0)*(2*l - 8*l - 6*l) + l - l - 2*l)*(-l**2 - l**2 + l**2) to the form k*l**2 + y + t*l + j*l**3 and give j.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*g + 3*p + 94 = 0, -3*g - p = g - 6*p - 130 + 124 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -106 (base 9) to base 7.\nAnswer: -153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**2\/7 + 289308*i\/7 - 6974926572\/7.\nAnswer: -3*(i - 48218)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -71*n + 357. Let k be m(5). Let h = 38 + -37. Suppose -14 = -3*c + h. Put c, -2, k in ascending order.\nAnswer: -2, k, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7728 and 552?\nAnswer: 7728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (8\/520)\/(4\/40)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 3*t - 11. What is the lowest common multiple of w(7) and 3?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35791 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: Let f(x) be the third derivative of x**4\/12 - 7*x**3\/6 + 22*x**2. Let l be f(4). Which is the third smallest value? (a) -1\/11 (b) -4 (c) -1\/4 (d) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**3 - 5*a**2 - 4*a. Let u be (1 + 2 + -1)*-2. Let y be k(u). Suppose w = -y*i - 2*i + 78, 20 = 4*i. What is w rounded to the nearest 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 15*j**2 + 164*j - 112*j**2 + 47*j**2 wrt j.\nAnswer: -100","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, 3\/17, -15603.411?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 10*h**5\/13 + 772264*h**4\/13 - 3552566*h**3\/13 + 4633852*h**2\/13 - 47528*h - 1235696\/13 = 0.\nAnswer: -77231, -2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {c: 2, g: 8, q: 1, z: 1, k: 2}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -53, -127, -213, -317, -445, -603?\n\"Answer: -q**3 - 67*q + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8168762?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/(z\/z**(2\/13)))*z*z*z\/(z\/(z**3*z)))**(8\/7)*((z**(-3\/8)*z*z*z*z)\/z**(4\/3))**40 assuming z is positive.\nAnswer: z**(27161\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from {u: 1, o: 3, c: 13}.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = m + 5*k + 24, 3*m = 2*k + 13. Let w be m - (-1 - -140)*-3. Calculate the common denominator of 4\/(-6) + w\/(-48) and 57\/2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from {p: 2, y: 3, r: 8, s: 4}.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 842542 and 16216848.\nAnswer: 8342","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((12\/9)\/(2\/(-6)))\/(174\/(-10) + 14)?\nAnswer: 20\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -6 - 179*j + 180*j - 2*j. Let w(s) = -2*s**2 - 4*s. Let c be w(-3). Determine y(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 1 + 3 = 0. Let h(o) = -o**3 - 3*o**2 + 4*o + 5. Let j be h(-4). Suppose 2*b = j*b + 6. Is r <= b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the third derivative of -i**5\/60 + 8*i**2. Let f(v) = -15*v. What is f(y(z))?\nAnswer: 15*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 39043489?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*t - 238 - 176 + 414.\nAnswer: 4*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8 - 8 + x + (-2 + 2 + 1)*(3*x - 3*x + 2*x).\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**3 + 4*a**2 - 16*a + 2. Let f be v(-8). Let x be 7\/(f\/(-48))*(-33)\/2. Does 26 divide 113\/4 - (-11)\/x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8452 is divided by 2114.\nAnswer: 2110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*m**4 + 13*m**4 + 2*m**4 + (0*m + 0*m + 4*m)*(0*m**3 - 3*m**3 - 7*m**3) - 4*m**3 + 4*m**3 - 6*m**4.\nAnswer: -25*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 726\/(-33) - 86870\/(-3927)?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 111*c**2 - 1332*c + 12. Give l(12).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 40 and 2624?\nAnswer: 13120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + f = -45, 4*w + 3*f = -0*f - 65. Let o be ((-6)\/(-5))\/(w\/(-35)). Suppose 4*q + 398 - 1069 = -3*p, -2*p = -o*q - 436. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 3*b + 0*b + 6*b + 4*b - 11 + 11 + (3 + 1 - 6)*(2 - 2*b - 2).\nAnswer: 11*b + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 365*b - 322. What is the remainder when 294 is divided by x(1)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (28\/15 - 2)\/((-40)\/50). Let v = 7 - 2.97. Let u = -0.03 + v. What is the biggest value in z, u, 2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 + -2. Let u(r) = -r**2 - 6*r - 6. Let o be u(j). Let x be (o\/4)\/(3\/(-4)). Solve x*a - 6 = -4 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16794.\nAnswer: 2, 3, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (42\/(-525))\/(-1 + (-76)\/(-60))?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3319393576 rounded to the nearest 100000?\nAnswer: -3319400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 39 - (-252)\/(-1080)*185\nAnswer: -25\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14987?\nAnswer: 7, 2141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 230*t - 465 = 0, 1 - 1 + 2 = 4*z + t for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 2015?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - (-9 + 7 + 8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 129131778 and 8?\nAnswer: 516527112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1339567 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39327 is divided by 689.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 + -733426012?\nAnswer: -733426007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fifteen quarters of a century?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -14? (a) 367\/3 (b) -1 (c) -0.5 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 45*x**2 + x - 2. Let y be m(-2). Suppose -4*q = 5*j + 508, 4*j - j = -3*q - 378. Let o = y + q. Does 27 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25661845 is divided by 622.\nAnswer: 613","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 6088116961 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: b\"What is the fth term of 40, 286, 698, 1276, 2020, 2930?\n\"Answer: 83*f**2 - 3*f - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is seven thirds of a minute in seconds?\nAnswer: 140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*o + 0*o - 27 = 0. Let h be (400\/(-12) + o)\/((-2)\/24). Let y = h + -243. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(34) - sqrt(102)\/sqrt(3) - sqrt(34))*1 + -1*sqrt(204)\/sqrt(6))\/(-2*sqrt(256)\/sqrt(2)).\nAnswer: -3*sqrt(17)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 plus -163819141526?\nAnswer: -163819141345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 2*h + 4*v, 2*h + 215*v = 217*v + 14 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -7*n - 7. Give k(-3).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(153) + -2 + sqrt(17) + -2 + 1.\nAnswer: -3 + 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/((-17 + 16)*3\/(-5)). Suppose 3*d - 253 + 945 = 4*h, -i*h - 1095 = 5*d. Which is smaller: -223 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -16910 to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16 and 654090952?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 99653007*g**3 - 15024205*g**2 + 3*g?\nAnswer: 597918042","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:07 AM and 8:40 AM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -10979, -21905, -32815, -43709, -54587, -65449?\n\"Answer: 8*k**2 - 10950*k - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 76133 minus -0.1?\nAnswer: 76133.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*x = -8*x - 11*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, d: 7}. What is prob of picking 1 d and 1 w?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68*y**2 - 133*y**2 + 67*y**2.\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**3 + y**2 - 52*y - 31. What is the remainder when h(8) is divided by 59?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*7*171\/126.\nAnswer: 19\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3787.076436 + -0.621.\nAnswer: 3786.455436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 333 - 323. Let t be 152\/7 - (-1 - p\/(-14)). What is the greatest common divisor of t and 165?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**3\/7 + 150*b**2\/7 + 664*b\/7 - 19584\/7.\nAnswer: 2*(b - 9)*(b + 16)*(b + 68)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (3 - (-5 + 3 + 1))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**3 - 626*g**2 - 6358*g + 13. Give t(-10).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -133\/5664 and 53\/12176.\nAnswer: 4310304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 + 233?\nAnswer: 241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the third derivative of 49*b**5\/60 - 43*b**2. Let c(u) = -2*u**2. Determine c(n(p)).\nAnswer: -4802*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 45.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -329, -27, 267, 553, 831, 1101?\nAnswer: 1363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 - 44 = -5*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1828.8342 rounded to the nearest 100?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/120*132\/(-99)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -6*y + 267. Let o(k) = 4*k - 146. Let c(d) = -6*g(d) - 10*o(d). Give c(-29).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 351 divided by 4?\nAnswer: 351\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -116382 - -4.287.\nAnswer: -116377.713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2300880*n + 1286571 wrt n?\nAnswer: 2300880","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-67)\/((-3685)\/(-66))*(-20)\/6.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1741e (base 15) in base 9?\nAnswer: 124112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -129*q**2 - 20*q. Let x(b) = 4*b. Let n(p) = v(p) + 5*x(p). Let u(t) = 2*t**2. Give u(n(s)).\nAnswer: 33282*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -995*y + 81591. What is t(82)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1303 - 2?\nAnswer: -1310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 4*l + 4 = 0, -5*y + 8 + 8 = -l. What is the highest common factor of y and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*i = 41*i + 140 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 15080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes before 4:02 AM?\nAnswer: 7:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 <= -2\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 36973 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -419*-0.1\nAnswer: 41.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 215*j - 177*j - 2*q = q - 193, 5*q = -3*j + 189 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 5*n = -9*n - 30, -51*n - 69 = 11*o - 47*n for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41585634 is divided by 867?\nAnswer: 846","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 64\/7*y - 10\/7*y**4 + 0 - 48\/7*y**3 + 2\/7*y**5 - 8\/7*y**2 = 0.\nAnswer: -2, 0, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17379\/48275*(-20)\/(-126)?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 136.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1936 + -1153. Suppose -13 = 7*g - u. Is 10 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 21 and 1898325?\nAnswer: 13288275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2013 = -4*l - 3*d + 4*d, 5*l + 4*d = 2490. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 224033150 a multiple of 1090?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + -3 + 1 - (6 - 7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -485\/3021 - -2\/53. Is t > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*p = -86*p + 63 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - s + 494 = s, 185 = 2*m + 5*s. Find the common denominator of (-3)\/(-6) + m\/(-6) and (-3)\/(-1)*6\/132.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 39, 107, 187, 285, 407, 559, 747?\nAnswer: 977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**2 + 5*b + 4. Let h be l(-4). Let q(a) = a**2 + 11*a - 76. Let j(t) = t**2 + 10*t - 68. Let f(n) = -12*j(n) + 11*q(n). Calculate f(h).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -8, -5*l + l = 3*u - 1094. Is l a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -477*t + 52220 = 137*t + 132*t for t.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(-24)*(3\/30 + (-1204)\/6440).\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes before 11:15 AM?\nAnswer: 7:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 138.53 + -138.529992923. What is n rounded to 7 decimal places?\nAnswer: 0.0000071","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**3 + 18*d**2 + 2*d - 37. What is o(18)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c = -4*o - 10 - 10, -10 = -o - 4*c for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is (6 + -4)\/((-20)\/6056150*-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -67151 - -67104.898625. Let w = 46.1 + u. What is w rounded to 4 dps?\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, -48, -21, -12 in increasing order.\nAnswer: -48, -21, -12, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fjdbbfp. What is prob of sequence pjbb?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*x + 16*x + 4*x = -75. Let m(w) = -w**3 + 2*w**2 + 2*w + 2. Let k be m(3). Let y(n) = 1. Let q(p) = -2*p + 6. What is k*q(o) + x*y(o)?\nAnswer: 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37 is divided by 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 + 1. Suppose 15 = -o*h + 51. Suppose 3*s + s = h. Solve 0*b - s = -3*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-12))\/((-24)\/(480\/35)).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5 or 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -626200 rounded to the nearest 1000?\nAnswer: -626000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v + 3. Let z be i(1). Suppose 4*c - 3*t + 80 = 0, 3*c - z*t - 20 = 4*c. Let q be -3*4\/(16\/c). Solve 3*j + 3*m = 9, -3*m + 8*m = 4*j + q for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2739 (base 15) to base 10\nAnswer: -8379","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-13\/3)*y)\/(y\/((y*y**(2\/25)*y)\/y))*y**(-26)*(y\/(y\/y**(1\/6)))\/y)**(-3\/8) assuming y is positive.\nAnswer: y**(4513\/400)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together -14300 and -0.40526168.\nAnswer: -14300.40526168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 3*p + 80. Calculate the highest common divisor of p and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaaaeoaaaaaaaakea. What is prob of sequence kaoe?\nAnswer: 13\/28560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t + 9*t + 5*c + 20 = 0, 20 = -4*c. Suppose -d + 173 = -3*o + 18, d + t*o - 179 = 0. What is the greatest common factor of 410 and d?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a week in minutes?\nAnswer: 55440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 541103?\nAnswer: 191, 2833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*l - 3*q + 574 = -0*q - 38, 5*l - 2*q = 68 for l.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -6*y**5\/11 - 12524*y**4\/11 + 46620*y**3\/11 + 117144*y**2 - 7638358*y\/11 + 409836 = 0.\nAnswer: -2091, -11, 2\/3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (20995\/2223)\/((-5)\/(-6))*(-6)\/4?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 4*m - 520. What is the remainder when m is divided by 35?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -2*h**2 - 13*h - 8. Suppose 22 = 2*a - 4*g, -2*g - 6 = 4*a - 0*g. Calculate the least common multiple of (a + -2)\/(-1)*1 and z(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 103798?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**2 + 3*c. Let x be (2\/4 - 0)\/((-4)\/(-24)). Calculate z(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 + 18 - 12)*(-5 + 3 + 4)*(85*i + 21*i + 6*i) to the form d + m*i and give m.\nAnswer: 2688","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7684710 divided by 512314.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -a5 (base 13) in base 3?\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1954195261 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -183868*c + 183890*c = -176 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*l + 9*l + 174 = 0. Suppose -2*x + 7 = -l. What is the remainder when 51 is divided by x?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - -6049c?\nAnswer: 6049e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-38346)\/(-297))\/166)\/(10*4\/(-36)).\nAnswer: -7\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*s - 324*s + 65239710 = 0. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1184 * -2\nAnswer: -2368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -30087027.799 - -30086639.79900974. Let u = 388 + b. Round u to six decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -119\/55345008 and 77\/92241680?\nAnswer: 276725040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-45)\/54*144\/(-40).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/4, 0.1, 1906, -49, 5?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddfdff. What is prob of picking 1 f and 2 d?\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -527229230 divided by 208391?\nAnswer: -2530","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10 in 0.3, -3\/7, -0.2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b**5\/3 - 11218*b**4\/3 - 15702332*b**3\/3 + 78938468*b**2\/3 + 204939070*b\/3 + 110309486\/3 = 0. What is b?\nAnswer: -2807, -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77451461.\nAnswer: 77451461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000186127 rounded to six decimal places?\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -45 - -100. Let n = -23 + w. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.008981 to 3 dps.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s**3 - 3*s**3 + s**3)*(2 + 7 + 3).\nAnswer: -12*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -245, -260, -299, -374, -497?\nAnswer: -680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/918 and 82\/5967.\nAnswer: 11934","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k + 124 + 96. Calculate the remainder when k is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*(-17)\/(204\/132)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 27878482603 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15932 and 84?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8383215, -8383213, -8383211, -8383209, -8383207, -8383205?\nAnswer: -8383203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9523 divided by -2.\nAnswer: -9523\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -2 + (5 - 8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*k - k - 2*k + (-1 - 3 + 2)*(k - k + k) - k + 2 - 2 + (-k - 2*k + k)*(-6 - 1 + 0) in the form l + g*k and give g.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 6*l**2 + 2*l - 1. Let s(r) = -49*r**2 - 16*r + 11. Let w(a) = s(a) + 5*u(a). Let k(c) = -20*c**2 - 5*c + 5. Calculate 6*k(q) - 5*w(q).\nAnswer: -25*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 75 - 55. Solve -s - 3*g = 20 - 0, 0 = 2*s + 2*g + d for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -17*g**2 - 13*g**2 + 16*g - 12 + 17*g + 32*g**2. Let k be s(-17). Solve -2*w + k*b + 1 = -0*b, w = 2*b for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/30 and -91\/1158.\nAnswer: 5790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2 - 34.58.\nAnswer: -34.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**2 + a. Let q(h) be the third derivative of 5*h**5\/12 + 5*h**4\/4 - 52*h**2 - 3*h. Let c(m) = -2*m + 1. Let n be c(1). Give n*q(i) + 30*y(i).\nAnswer: 5*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -30*(4 + -2)\/(-1). Suppose 4*o - 105*d + 101*d = 1360, 0 = -4*o + 5*d + 1360. What is the highest common divisor of s and o?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*c - 10*c - 2940 = 0. Round c to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -20511 < -20595?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32, -734, -2244, -4492, -7472?\nAnswer: -11178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117*l - 324 = -36*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-75)\/(-12) - (-6)\/(-24)) + -4. Solve -10 = -0*r + 3*r + 4*m, h*r + 5*m = -16 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 131*u**2 - 380*u**2 + 124*u**2 - 6*u**3 + 125*u**2.\nAnswer: -6*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**3 - 4*j**2 - 5*j - 2. Let a be d(-1). Suppose 8*p - 7*p + 2 = a, -p = 5*w - 133. What is the highest common factor of 306 and w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 38298, 39694, 41090, 42486?\n\"Answer: 1396*s + 36902","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 571111 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -21*k**2 + 7*k + 6. Let h be i(-1). Let f be (-66)\/h*1\/6. Which is the smallest value? (a) 0.03 (b) f (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5650.426 litres to millilitres.\nAnswer: 5650426","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (57 + 127 - 116)*(3 + 2 - 2)*(-18*f + 4*f - 14*f).\nAnswer: -5712*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u + 8. Let k be j(-4). Let b(h) = 24*h - 9. Is b(k) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -297734.5322781+0.8\nAnswer: -297733.7322781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/16 and -59\/88.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -24*i - 168. Let v be j(-6). Which is smaller: v or -259\/11?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 586*v**4 + 617?\nAnswer: 2344*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 263*n + 1696. Give l(-7).\nAnswer: -145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the second derivative of -16*f**3\/3 - 8*f**2 - 46*f - 20. Let t(m) = -11*m - 5. Determine 5*c(v) - 16*t(v).\nAnswer: 16*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -2*k**3 + 9*k**2 + 2*k + 5. Let z be f(6). Let b = -173 - -109. Let t = b - z. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14662217 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3497 - 8*s**2 - 14003 + 3491 + 3513 + 3502.\nAnswer: -8*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -395 + 453. Let x be (h\/(-145))\/((-4)\/90). Suppose g + 0*g - 34 = 0. Solve -x + g = -5*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the first derivative of 241*a**5\/5 + 2*a**3\/3 + 31*a**2 + 47. What is the second derivative of m(u) wrt u?\nAnswer: 2892*u**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + a + 0 = -2, 0 = 3*x + a + 2. Let g be (10\/(-8))\/((-16)\/256). Suppose -c - 4*b = 7, -2*b - g = -c + 3*b. Solve x = -c*k - 14 - 11 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -50 - -35. Is 2 a factor of ((-70)\/m)\/((-2)\/(-3))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 3 (b) -1 (c) 2 (d) 0 (e) -1202\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4724 + -56645\/12. Calculate the common denominator of i and -103\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -538891\/6 + 90102. Let n = -283 + i. Find the common denominator of n and 4*-1 + 350\/20.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*b + 11*u - 36139 + 36194, -5*b + 5*b - 15 = 3*u for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -f**3\/2 - 667*f**2\/2 - 1328*f - 1326 = 0. Calculate f.\nAnswer: -663, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*g + 231948 = 112*g. What is the hundreds digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26617 is divided by 13301?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12839 + 12845. Let b(h) be the third derivative of -7\/20*h**5 - 5*h**2 + 0*h**3 + 1\/40*h**w + 0*h + 0 - h**4. Factor b(y).\nAnswer: 3*y*(y - 8)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21323 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -2*y - 1412, -439*y + 434*y = 30. What is the highest common factor of g and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4\/93 + -3685\/93. Let q = 38 + f. What is the smallest value in q, -5, 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27, -40, -27, 24, 125, 288, 525?\nAnswer: 848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 86633561.\nAnswer: 7, 31, 71, 5623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 3*y**2 - 104*y - 82. Calculate j(-10).\nAnswer: 1258","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*b**5 + 117*b**4 + 159*b**3 - 2277*b**2 + 1998*b = 0. Calculate b.\nAnswer: -37, -6, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/7 in -0.1, -1070, 5\/3, -98, -1\/7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01896 to 3 dps.\nAnswer: -0.019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -10*u**4 - 7535*u**3 + 160250*u**2 + 1219020*u - 3018600 = 0. What is u?\nAnswer: -774, -15\/2, 2, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2842 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 - 6 + b - b**3 + 9*b**4 - 12*b**4 + 4*b**4 in the form y*b**3 + m + x*b**2 + i*b**4 + d*b and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let 20*q**5 + 676*q**4\/3 + 2260*q**3\/3 + 1900*q**2\/3 = 0. What is q?\nAnswer: -5, -19\/15, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -a (base 14) in base 12?\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8 by -19508.\nAnswer: -2\/4877","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.053 - -9.547. Let r = m - 9.4. Which is the nearest to r? (a) 4 (b) 1 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 19142 = -15418. Suppose 26*h - g = 8*h. List the prime factors of h.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvzzvzezzvzzzzzvz. What is prob of picking 3 z?\nAnswer: 33\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-2 + ((sqrt(288)\/(sqrt(72)\/sqrt(6)))\/(1*(sqrt(12) + (-3*sqrt(12) - sqrt(12))) - sqrt(12)) + 1)*6).\nAnswer: -6*sqrt(2) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1000 (base 3) to base 7\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*u - 2 = 16. Let q be (26\/65)\/(u\/(-20)). Which is the closest to 0? (a) 5 (b) 3 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 860260, 1720538, 2580816, 3441094, 4301372, 5161650?\nAnswer: 6021928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*195.\nAnswer: -97.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -9*(-2)\/9*(-285)\/152?\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2*l)*(-1 + 4 - 2) - 958 + 958 - 139*l + (6 + 0 - 4)*(0*l + 2*l + 0*l).\nAnswer: -133*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6396798s in minutes?\nAnswer: 0.01066133","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2\/(-9) - (-433134)\/486?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.5278, -0.2, 1\/10, -6?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -147 + 12*m**2 + 22*m**2 - 35*m**2 - 5*m - 2*m.\nAnswer: -m**2 - 7*m - 147","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - m = 0, 3*a + 4*m = 8*a + 3 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -24 by 2.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5526 - 5520. Let s(p) = 4*p - 11. Determine s(q).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 834 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**1)**(-21)\/((d*d**12)\/d*d*d*d\/(d*d\/(d\/(d**(-1\/26)\/d)))) assuming d is positive.\nAnswer: d**(-937\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*l**4 - 3*l**4 - l**4 + (-12*l**3 - 6*l**3 - 3*l**3)*(-2*l + 43 + 37 + 30) in the form b*l**3 + u*l + j + w*l**4 + g*l**2 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 5*f + 15 = 4*f, 2*h = 5*f + 21. Suppose 4*b - 3*v - 10 = 0, -b - 2*v + 2 = -6. What is the remainder when b is divided by h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-14)\/(-6))\/(475\/(-15) + 32)*(-1 + -13)?\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 122301 - 0?\nAnswer: 122301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h - 2. Suppose 5*r + 14 = -3*z, -478 + 480 = -2*r. Let j(p) = 7*p - 5*p + 0*p + 1 - p. What is z*j(d) - o(d)?\nAnswer: -2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1872?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the third derivative of x**4\/24 + 17*x**3\/3 - 17*x**2. What is the tens digit of i(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 349\/26 + 14\/13. Let j(r) be the second derivative of 0 + s*r**2 - 10*r - 11\/6*r**3. Let q(g) = -2*g + 5. Give 6*j(w) - 34*q(w).\nAnswer: 2*w + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*d - 17113 + 483093 = 29*d. Is d a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*-6*(-6)\/108\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4559 is divided by 77.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 0*q - 5*q + 10 = 0, 3*o = 5*q - 34. Which is the closest to o? (a) -1\/8 (b) 2\/7 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p - 4. Let b be j(-4). Determine c so that 6*c - 3*c + b + 15*c**4 - 3*c**3 - 1 - 19*c**4 + 5*c**2 = 0.\nAnswer: -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -3, -20, -5, 3, 47 in ascending order.\nAnswer: -20, -5, -3, 3, 4, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p + 4*i + 7 = 11*p, 4*i - 11 = -p. Factor 4*b**3 + 19*b + b**3 + 0*b**2 + 0*b**p - 38*b**2 + 14.\nAnswer: (b - 7)*(b - 1)*(5*b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1001104043 (base 5) to base 13\nAnswer: 5409cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.025 and 2.3.\nAnswer: -0.0575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 0.2 (b) 0.222 (c) -0.1 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 180 a factor of 641722844?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.86*196931.\nAnswer: 563222.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -239841*u. Let b(k) = -14*k**2. Give l(b(x)).\nAnswer: 3357774*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -3*m - 5*g, 5*m - 11*g - 44 = -9*g. Solve -m = -2*r + 4*u, -4*u + u = -3*r + 3 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12\/19 - -3\/95. Let z be (-13 - 1104\/(-85))*-41. Let t = y + z. Which is the third biggest value? (a) t (b) -1 (c) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 55, 52, 39, 10, -41, -120, -233?\n\"Answer: -i**3 + i**2 + i + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -4*x + 40304, 3*p + 20027 = 4*x - 20278. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 27*t - 6522 - 111549. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 40885 = 40916?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is sixteen sevenths of a week in hours?\nAnswer: 384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-1\/13)*i*i\/(i**(-1)*i)*i*(i\/i**(-7))\/i*i*(i\/i**(1\/3))\/i*i*i*i*i**1*i*i**6*i*i*(i**(2\/7))**13 assuming i is positive.\nAnswer: i**(7454\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*t + 718 = 26*t. What is the tens digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 417 (base 13) to base 14.\nAnswer: 37a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -62777*n + 627773. Give h(10).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -11*t**3*z**2 - 2207*t*z**2 + 13*z**2 + 14*z + 21 wrt t?\nAnswer: -33*t**2*z**2 - 2207*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 363750 rounded to the nearest 10000?\nAnswer: 360000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*q - q + 5*q)*(-3 + 3 - 1) + 1 - 1 + q + 0*q + q - 2*q + 3*q + 2*q - 4*q + 9 - 7 + 5158*q + 3334*q - 2.\nAnswer: 8494*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -3*v**2 + 197247*v - 591714 = 0?\nAnswer: 3, 65746","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f**(-3\/8)\/f*f\/f**(2\/7) assuming f is positive.\nAnswer: f**(19\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**3 - t**2 + t + 3. Let i be h(0). Let q(g) = -5 + g - 8*g - 32222*g**2 + 5*g + 3*g. Let m be q(i). Round m to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**3 + 4*v**2 + 4*v - 2. What is z(-4)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 94 and 88254767?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5150 - -6116. Calculate the remainder when z is divided by 18.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(5 - (-30)\/(-5)). Is (-15)\/(h\/51*3) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -127588*l - 2328 = -127685*l for l.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**2 + 7*k - 112. Let v be o(8). Factor -2\/3*j**5 - 8\/3*j - 4*j**4 + 0 - v*j**2 - 26\/3*j**3.\nAnswer: -2*j*(j + 1)**2*(j + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, g: 4, j: 4, l: 3, o: 1, d: 4}. Give prob of sequence ds.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 6, w: 3, a: 3, z: 3}. What is prob of picking 1 x, 1 z, and 1 a?\nAnswer: 54\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -221321 (base 4) in base 2?\nAnswer: -101001111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14 - 10. Let b(c) = c**2 + 30*c + 0 - 60*c - 1 + 29*c. What is b(k)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -127 or 9?\nAnswer: -127","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 21 - -50. Find the second derivative of -c*x**2 - 170 + x**3 - x - 2*x**3 + 8 + 145*x**2 wrt x.\nAnswer: -6*x + 148","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 104\/9*q**2 + 4\/9*q**3 - 400\/9*q - 2\/9*q**4 + 128\/3 = 0.\nAnswer: -8, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (189288\/(-2664) - -64) + -2*3\/(-111)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 4, y: 1, t: 5}. Give prob of picking 2 n and 2 y.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2, 463, -171.\nAnswer: -171, -3, -2, 463","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19828423?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*q**4\/7 - 156*q**3\/7 - 1194*q**2\/7 - 3204*q\/7 - 2160\/7 = 0.\nAnswer: -15, -6, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 3*o**2 + 3*o. Determine g(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-8)\/10*10\/(-4). Let y be t*(-734)\/(-36) + 4\/18. Suppose 2*u - 279 + y = 0. Is u a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 - 17 = 2*i. Suppose 0 = -12*u + 7*u - i*z + 1535, 3*u + 5*z = 915. Is u a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:50 PM and 1:30 PM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -5 (b) -5\/17 (c) 3\/2 (d) -22602 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*f - 13*f - 12 = 0. Let z(o) = o - 4. Determine z(f).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 246062 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 29 - 23. Suppose 2*i + 10 = 3*i. What is the remainder when i is divided by j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1772 = 8*f - 12*f. Let z = -191 + f. What is the tens digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 3*y + 5604 = -2413, -3*p = -4*y - 24046. Is p a multiple of 73?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -11*m**3 + 2. Let g(u) = u**3. Give 4*g(f) - n(f).\nAnswer: 15*f**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*s + 2*s + 2*s)*(1 + 2 - 6)*(-2*s**2 + 3*s**2 + 6*s**2) as z*s + v*s**2 + p*s**3 + q and give p.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8278728?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/8*(-891)\/(-396).\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*r**3\/5 + 42*r**2\/5 - 63*r\/5 - 108\/5 = 0. Calculate r.\nAnswer: -1, 3, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -3 + (-9 - (-6 - -1)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, 0.1, -2143.\nAnswer: -2143, -2, -1, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-21)\/105*(13792\/432 - (550\/(-135) - -4))\nAnswer: -32\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 48*r**4 - 41*r**3 + 7*r**2 - 4251. Let l(y) = 33*y**4 - 28*y**3 + 5*y**2 - 2834. Let b(z) = 7*l(z) - 5*n(z). What is the derivative of b(h) wrt h?\nAnswer: -36*h**3 + 27*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 642502340.\nAnswer: 2, 5, 2309, 13913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u + 1. Let r be m(-1). Suppose r = 4*t - 4*p - 4, -2 = -t - 0*t + 2*p. Let q = 0 - -4. Solve t*v - q = v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 105319411 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -7570250 to the nearest one million.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -453\/2 equal to -228?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(2\/19))**4*(h*h**(-3)*h)**(-1\/9))**(1\/14) assuming h is positive.\nAnswer: h**(13\/342)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**6)**(-3) assuming u is positive.\nAnswer: u**(-18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 0*c**2 - c**2 + 0*c**2. Let z(h) = 2 - 4 - 3*h + 2. What is i(z(b))?\nAnswer: -9*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 264977?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 3 = 23. Suppose z + 13 = 4*m, z = 2*m - 3*z + r. Suppose y = -0*n - 2*n - 1, 5*n = 5*y + 5. What is the third smallest value in y, 1\/8, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 take away -0.23958578167?\nAnswer: -14.76041421833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 75 divide 109177?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-5*((sqrt(13) - sqrt(39)\/sqrt(3)) + 0) - 2*(3*sqrt(1573))**2*-3.\nAnswer: 84942","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-33 - -70) + -21 + -28\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o - 3. What is c(-3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -405 - 3006 = -232*u + 533 for u.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**3 + 12*n**2 - 2*n - 35. Determine w(-12).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y**5\/5 - 26616*y**4\/5 - 101368*y**3 - 410976*y**2 - 2695724*y\/5 - 1121064\/5 = 0. Calculate y.\nAnswer: -14, -3, -1, 6673","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1369 + -1361. Solve 3*c - 2*t = h, 3*c = -2*c - 5*t + 30 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 5883.015 kilograms?\nAnswer: 5883015000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6\/19*a**4 + 10\/19*a**2 + 0 + 6\/19*a - 22\/19*a**3 = 0 for a.\nAnswer: -1\/3, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 13 + -214b59?\nAnswer: -214b46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 87.039 - 87. Let b = m - 0.0453. What is b rounded to 3 dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5627 - 5631. Which is the closest to 1? (a) f (b) 8 (c) 1 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -3329, -3333, -3341, -3353, -3369, -3389, -3413?\n\"Answer: -2*p**2 + 2*p - 3329","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -3\/5, 121\/4, -5716, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**2 - 9*n + 12. Let s be r(10). Let t = s + -3. Is 18 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pllprlwrlprlr. What is prob of sequence rlr?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - ((12 + -4 - 5) + -1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -916\/193 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**2 - 4*w - 17. Is 35 a factor of d(-13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37056 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-5\/2))**(-4\/9)*i**(2\/7)\/(i**(2\/3)*i*i) assuming i is positive.\nAnswer: i**(-12\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3339310.\nAnswer: 2, 5, 13, 17, 1511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 483.58 + -10.58. Let v = -472.3 + n. What is the third biggest value in -17, -1\/7, v?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 - -c?\nAnswer: b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 420623.\nAnswer: 7, 60089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26740, 53573, 80374, 107143, 133880, 160585?\nAnswer: 187258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1104 and 138?\nAnswer: 1104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88 = -158*c - 176*c + 312*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 + 168*r**2 + 6890*r + 214. Determine u(-97).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dip when three letters picked without replacement from {c: 3, d: 3, z: 2, g: 2, p: 7, i: 1}.\nAnswer: 7\/1632","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(-24)*1152\/960?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42 is divided by (1 + -4)*(9 - 14).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*l**2 + 14*l**2 - 36*l**2.\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (40\/15 - 4)\/((-4)\/6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1\/240 - -21961\/240. Let s = 92 - v. Which is smaller: 1.7 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:10 AM and 2:16 PM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 27 - -125. Suppose 0*s - 3*s + 178 = 5*v, -5*v - b = -2*s. Is s a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 4*i**2\/5 + 3888*i\/5 + 944784\/5 = 0.\nAnswer: -486","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 31.2 times 11?\nAnswer: 343.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:26 PM and 2:26 AM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 16\/7 and (-220)\/24 + (-1 - 0).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 73 = 5*l. Suppose 2*c + 3*p = -5, 3*c - 4*p + l = -p. Is (-396)\/(-21)*(-14)\/c a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 647061?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -53, -227, -529, -965, -1541, -2263?\nAnswer: -3137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 5, n: 8, u: 7}. What is prob of picking 2 u and 1 n?\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 times -246324.62?\nAnswer: -2955895.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -2*t**3 - 5*t**2 - 31*t - 43. What is g(-6)?\nAnswer: 395","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 317188 to the power of 1\/3, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 + (25\/5 - 4). Suppose a = 2*u + 4 + 6, -280 = -5*q + 3*u. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2 and -2901.\nAnswer: -2903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sp when two letters picked without replacement from {p: 1, s: 2, b: 1, i: 4}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 + 1. Let j(c) = -c**2 - 14*c - 17. Let t be j(-12). Suppose 0 = -4*p - 3*b + 31, -p + t*b - 21 = 2*b. Solve -3*d + p*d = g for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 300146.\nAnswer: 2, 7, 11, 1949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.372438 millennia in years?\nAnswer: 1372.438","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -30608138?\nAnswer: 1\/30608138","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 16*q**2*z**2 + q**2*z - 6*q**2 - 3*q - z**2 + 6*z - 202 wrt q?\nAnswer: 32*q*z**2 + 2*q*z - 12*q - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 50 = -2*o + 142, 3*n = 4*o + 69. Calculate the remainder when 136 is divided by n.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 2*m**2. Let q(g) = -2*g**2 - 705704*g. Give q(d(n)).\nAnswer: -8*n**4 - 1411408*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-109 + 784856\/3128 + (1 - 42\/46))?\nAnswer: 3\/71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**2 - 6*h - 4. Let n(j) = j**2 + 2*j + 1. Let f be n(-5). Suppose f = -3*x - x. Let z be m(x). Solve z*t - 4 = 0, 5*u + 2*t = 6*t + 11 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*u + 3*u + 3*u)*(-3*u - 3*u + 2*u - u + 0*u - u + (1 - 1 - u)*(2 - 3 + 3) - 2*u - 1 + 1 - u + 3*u - u)*(u**3 - 23*u**2 + 23*u**2).\nAnswer: -18*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add -6796841.4738 and 0.02.\nAnswer: -6796841.4538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 19 + -11. Let t(p) = p**2 - p. Let h be t(0). Suppose h = -c - 4*c + 115. Calculate the remainder when c is divided by a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 343300 and 1325?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 180042196?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 3 t when four letters picked without replacement from lmmttttttttmllltm?\nAnswer: 12\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1069, -2151, -3243, -4345, -5457, -6579, -7711?\nAnswer: -8853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-461 - (-5 + 2))*(-6 - (-3 + 4))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 - 284\/20*102*-25. Let h = -52709 + a. What is h rounded to the nearest one thousand?\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 285756 is divided by 21977.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 45484 and 20.\nAnswer: 227420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4479486 * 0.2.\nAnswer: 895897.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -129*q**5 - 262*q**2 wrt q.\nAnswer: -7740*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*p*s**2 - 6*p*s - 174530*p - 2*s**2 + 82*s wrt s.\nAnswer: 6*p*s - 6*p - 4*s + 82","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {c: 5, g: 12, n: 1}?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -1.7, -0.07, 4?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = -3*v - 0*v. Does 7 divide (-42)\/v*3 + -2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -2*u - 1010, 0 = -3*c - 4*u + 93 + 2957. Suppose -1 + 2 = j, -j = -t + c. Suppose 6*g - t = 305. Does 20 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 416182 and 247?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -125\/408 and 151\/16320?\nAnswer: 16320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -239 - -238.9. Which is the third smallest value? (a) -38\/13 (b) 3\/7 (c) j (d) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v**4 - 6*v**2 + 7*v**3 + v**5 - 4*v**4 + 3*v**2 = 0. Calculate v.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -1. Let o = 9 + -10. Let p(x) = 2*x**2 - x - 3. Determine o*i(r) + p(r).\nAnswer: 2*r**2 - r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -309 + -211a26?\nAnswer: -212234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 - -11. Let m(s) = 3*s - 8. Let o be m(z). Let g(j) = -9*j**3 - 2*j**2 - 5*j - 4. What are the prime factors of g(o)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide 2576076?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*w + w + 3*w)*(-1 + 5 - 2 - 2 + 0 + 0 + (0 + 2 - 1)*(-4 + 2 + 1) - 1 - 4 + 2)*(34 - 30 + 25)*(0*w - 3*w + 2*w) to k*w + r*w**2 + l and give r.\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1062545?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-4)\/6)\/((-7)\/42). Suppose 3*w - a + 1 + 7 = 0, 2*a = -2*w. Put r, 2, w in decreasing order.\nAnswer: r, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/6, 3, -0.1, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 7731 (b) -4 (c) -1 (d) 2\/7 (e) -15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 362947, 362948, 362949, 362950?\nAnswer: 362951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = -3*c + 2*s, -2*c - 4 = 3*s - 13 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the third derivative of -u**6\/1080 - 7*u**5\/54 + 71*u**4\/216 - 2*u**2 - 95. Find o such that c(o) = 0.\nAnswer: -71, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.14 + 0.14. Which is the nearest to -1? (a) p (b) -1 (c) 0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 10669945, 21339946, 32009947, 42679948, 53349949?\n\"Answer: 10670001*v - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 6*k = -11*k + 12, 4*i + 2*k = 12. Let r(v) = -5 - 3*v**i - 128*v**3 - 6*v**2 + 127*v**3 + v. Calculate r(-9).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -67*o - 455. Let d be l(-15). What is the closest to -1 in -2, d, 2, 0.2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -117, -364, -749, -1272, -1933, -2732, -3669?\nAnswer: -4744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 31915?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -3*j**3 - j**2 + 3*j - 3. What is g(2)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fpzw when four letters picked without replacement from {w: 4, p: 1, f: 1, z: 2}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 12, a: 6}. What is prob of picking 2 n?\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6 + -5)\/((-23)\/(-161)). Let h(o) = 14*o - 103. Calculate h(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -211 less than 60127805?\nAnswer: 60128016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-36)\/(-15))\/4)\/((-18)\/270)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i + 2. Let l be m(0). Let z be ((-3)\/l)\/((-9)\/12). Solve -5*y + 4*y + z = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w + 3. Let f be u(0). Solve -4*j + 3*t = -j + 9, f*j + 3*t = 21 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/14 + 37\/7. Suppose 0 = -i*b + 7*b - 36. What is the smallest common multiple of 14 and b?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -9*(-3 + 8\/3)*1. Solve 4*c - 4 = 0, -59*j + 62*j = 3*c + o for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -f**4 - 4416*f**3 - 3469 wrt f.\nAnswer: -4*f**3 - 13248*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + -3*(-6)\/(-36)*-8.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -2*s**2 - 10*s + 6. Let n(d) = d**2 + d. Let a(b) = h(b) + 3*n(b). What is a(7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6255963 + l - 2*l - 6255551)*(0 + 0 - 2).\nAnswer: 2*l - 824","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/(-8) + (-65)\/(-2). Suppose -3*t - j = -6*t + l, 2*t + 7 = -5*j. Suppose -5*z - 19 = 1. Sort -1, z, t.\nAnswer: z, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p + 4*k + 26, p - 5*k - 18 = 2*p. What is the highest common divisor of 14 and p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -27, -4, 14, 2, 44 in descending order.\nAnswer: 44, 14, 2, -4, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -13288.7 - 1.582?\nAnswer: -13290.282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6 - (1 + 0)\/(-1). Let y = g + -12. Let p(h) = -5*h**2 - 8*h + 47. Let d be p(-4). Sort d, y, 5 in decreasing order.\nAnswer: 5, d, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 divided by -10?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 28142503 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - -1303923.615086.\nAnswer: 1303921.615086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 54, 128, 216, 324, 458, 624, 828, 1076?\n\"Answer: t**3 + t**2 + 64*t - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes after 8:25 PM?\nAnswer: 11:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 31 + -28. Suppose 2*g = 5*l + v*g - 2916, 1167 = 2*l + g. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the third derivative of w**6\/120 - w**5\/6 - 11*w**4\/24 + 49*w**3\/3 - 143*w**2 - 12*w. What is m(10)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9758*f + 34559 - 34559 in the form b*f + h and give b.\nAnswer: -9758","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -250 - -553. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/3 - 4\/(-10). Let c(i) = -i**2 + 21*i - 26. Let l be c(20). Let m be (-4)\/l - 5\/(-15). What is the nearest to 0.3 in m, -4, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3275480 to the power of 1\/2, to the nearest integer?\nAnswer: 1810","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -102 (base 5) to base 9\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seventeen quarters of a hour?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*y - 370 = 21*y. Let l(k) = k**2 - 16 - 3 - 5*k - 2*k. What are the prime factors of l(y)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -5, -1\/9, -0.4, -11, -107?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -0.5 (b) 4 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -25.46 + 38.6. Let l = h - 7.87. Round l to 1 dp.\nAnswer: 5.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k - 749 = -0*k. Is k a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -2*d - 7*s + 3*s, 3*d + s = 21. Let z(u) = 0 - u + 7*u - u**2 - 1. Let a be z(d). Is a greater than -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -474*t**5 + 2*t**3 - 3044*t?\nAnswer: -9480*t**3 + 12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 6, c: 1, t: 9, e: 1}. Give prob of sequence dced.\nAnswer: 1\/1904","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -5*c**3 + 13*c**2 - 13*c + 9. Let w(u) = -6*u**3 + 3*u**2 + 2*u + 7. Let r(o) = -o**3 + o + 1. Let v(l) = -5*r(l) + w(l). What is 9*v(y) - 2*x(y)?\nAnswer: y**3 + y**2 - y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 81996 and 12594.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 626 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1212)\/1010)\/(16\/(-5)).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/(-49) + 22\/14?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 261398 to the power of 1\/5, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from drdrxc. Give prob of picking 2 r.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**1*j**(-5\/8))\/((j*j**(-1\/9)*j)\/j**(1\/3)) assuming j is positive.\nAnswer: j**(-157\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/(-260))\/((-4)\/16)\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -13*u - 5. Let x(o) = -26*o - 11. Let w(c) = 13*k(c) - 6*x(c). Does 7 divide w(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28611276 divided by 1?\nAnswer: 28611276","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 40076 to the power of 1\/3, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 69 (b) 3 (c) 0.1 (d) 1229 (e) -93 (f) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1230 + -10?\nAnswer: 1220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -4, -96\/11, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -989*f**2. Let p(u) = 2*u. What is c(p(x))?\nAnswer: -3956*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w. Suppose 0 = -15*r + 117 + 153. Calculate the smallest common multiple of l(3) and r.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5080?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/(-1) + ((-46)\/(-2))\/1. Suppose -u + j = -5*d, 2*d - u = -3 - 8. Let o be ((-3)\/(3\/(-4)))\/(-1). Which is smaller: o or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -9 + (-2)\/(-4)*4. Let h = r - -26. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = -131*n - 547 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2223 - 1001102023?\nAnswer: -1001110312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -3665 divided by 301?\nAnswer: -3665\/301","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**2 - 5*v + 8. Let k be c(-6). Suppose k = z + z. What is the first derivative of -z - 2*t**2 - 1 + 1 wrt t?\nAnswer: -4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**2 + 10*y + 2. Let f be t(-10). Let g be f - -12*(1 + 1). Suppose 0 = 2*w + w - l - 56, -5*l + g = 2*w. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 0 = o. Let q = 58 - 58. Solve q*d + o = d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3158707 to the nearest integer?\nAnswer: 1777","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 987\/13 + -3013\/39. Sort 5, 0.1, 9, o in descending order.\nAnswer: 9, 5, 0.1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - f = f + 43, -5*q = 3*f - 228. Calculate the greatest common factor of q and 55.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 157582700 by -6303308.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 84210379 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -3 + 41\/((-5166)\/(-224))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 + -2. Suppose 5*c + 43 - 227 = b*u, 4*c = 2*u + 148. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**3 - 6*u**2 + 7*u - 2. Let v be w(5). Let h = -1 - -5. Suppose -h*m = -28 + v. What is the closest to -0.1 in -4, -0.3, m?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes after 4:17 AM?\nAnswer: 12:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xnxnxxnxxnxxnxnn. What is prob of sequence nnnx?\nAnswer: 9\/208","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-10)\/3)\/((-8)\/(-12)). Is 19 a factor of (-2)\/y + 2060\/100?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b + t - 479 = -488, -5*b - 9 = -t for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -285 - -295. Suppose -149 = g*k - 159. Which is the second smallest value? (a) k (b) 0.3 (c) 8 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 + 2 + 10 - 61*u**2 - 99*u**2 - 21 + 2*u to k*u**2 + r + o*u and give k.\nAnswer: -160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 19885 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -5245, -4697, -3787, -2515, -881?\n\"Answer: 181*o**2 + 5*o - 5431","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is five sixths of a year in months?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(500) + -1)*1)**2 - (sqrt(500) + -1)*6.\nAnswer: -80*sqrt(5) + 507","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**2 + 19*d - 18. Give u(-20).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -199 + 410. Suppose -j = -3*w - 52, 3*j - g + 44 = -2*w. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9595 is divided by 458?\nAnswer: 435","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 392 divide 369971?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.03 - 0.17. Let h = -698.7 + 700.7. Sort 3\/4, v, h, -3 in descending order.\nAnswer: h, 3\/4, v, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-143)\/(-4) + 2\/8. Suppose 12 = -3*y + 4*w, w - 13 = 2*y - 0*y. Let i be (-152)\/36 - y\/c. What is the smallest value in i, -3, -2\/15?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 2\/3, 0.5, -314?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 329599*d*f**2 + 2228*d*f + 10*d + 8*f**2 - 7*f + 1 wrt f.\nAnswer: 659198*d + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**3 - 2*b**2 - 3*b + 11. Suppose 0 = 9*c - 15*c. What is the smallest common multiple of 4 and x(c)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1097, -2190, -3285, -4382, -5481?\n\"Answer: -h**2 - 1090*h - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (20\/(-8))\/5 - (-27 - (-35191)\/1326)\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -9*t - 18. Suppose -7*m - 168 = -4*m. Let x be (m\/42)\/(2\/9). Does 6 divide y(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20 and 17782\/136 - (0 - 10) - 9\/12.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z, 1 w, and 1 s when four letters picked without replacement from yzwycyyczs?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and 66.\nAnswer: 13.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 3*z + 10 = -5*b, 4*b + z + 6 = 0. Let n = b - -4. Suppose 55 = 4*d - 5*r - 0*r, r - 17 = -n*d. Calculate the lowest common multiple of 5 and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 522 (base 12) to base 15\nAnswer: 34b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2\/3)*q)\/(q*q\/(q**(-15)*q)) assuming q is positive.\nAnswer: q**(-47\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w - 2*w - 2*w)*(-3 + 1 + 0) + (w - w - w)*(2 - 3 + 3) + 2*w - w - 2*w.\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1*(-5 - -1) + 1\/(-1). Suppose 0 = 26*t - q*t - 75003. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -a - 5842, -2*a = 2*u - u + 11684. Let l be a - -1*(-6)\/(-3). Let z = l + 8617. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 + 37*h**2 + 39*h - 70. Let m be v(38). Put m, -3, 1 in decreasing order.\nAnswer: 1, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 121 is divided by 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 901 divided by 17.\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.09 + 1.09. Let a = w - -2. Let b = -7 + a. What is the second smallest value in -0.4, b, 0.2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i + 0*f - 3 = -2*f, 0 = 4*i - 4*f - 24 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*w - 6*w + 9*w)*(0 + 3 - 1) + (-616 + 771 - 488)*(4*w - w - w).\nAnswer: -652*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*w - 9*w - 678 - 6. Let z(b) = b**2 + 4*b - 3. Let g be z(2). Is 1010\/g + (4 - w\/(-18)) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.3 + 0.7. Let y = -4520711.0000005 + 4520710. Let w = c + y. Round w to 6 decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-19 - -18) + (1 - (-1 - -1))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 6\/11 (b) 1\/3 (c) -2\/7 (d) 3 (e) 0 (f) 1\/6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 19 + -27?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes after 6:55 AM?\nAnswer: 5:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**2 + l. Suppose -4*d + 7*d = -9. Let z = 2 - 3. Let x(g) = -g**3 - 2*g**2 - 3*g. Give d*n(b) + z*x(b).\nAnswer: b**3 - b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 28\/20 - (-1)\/(30\/48). Suppose 3*p - 4*n = 13, -2*p - 2*n + 39 = 3*p. Differentiate -2*k**o + 1 + p + 10*k**3 with respect to k.\nAnswer: 24*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**3 + 6*p**2 + 5*p + 6. Let n(x) = -18*x - 5. Let k be n(0). Determine t(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:26 AM and 2:26 AM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -19552.6 minus 282766003?\nAnswer: -282785555.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 1741?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*g = -3*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3*(-2)\/9*(-2613)\/(-26). Let l = -66 + p. List the prime factors of (0 - l\/4) + (-2471)\/(-28).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97.25 + 25218702?\nAnswer: 25218799.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 42\/5 - 1\/5*u - 1\/5*u**2 = 0.\nAnswer: -7, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1860\/434*(-7)\/(-3)*-2?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -797 smaller than -791?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xd when two letters picked without replacement from xrxrxrrrdxr?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5484 - -6703. What is the remainder when t is divided by 33?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - x + 36 + 46 = 0, -5*c + 5*x + 460 = 0. Let g = 87 - c. Solve -b - 4*h = -7, -3*h + 4*h - 1 = g for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.6 and -0.09?\nAnswer: 0.054","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 1177*z - 216*z - 1854 - 2*z**2 + 3711 - 1859 as u*z**2 + h + c*z and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 772836083?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 2 + 2*n**2 - 3 + 3*n**2. Let c be t(3). List the prime factors of (1\/(-2))\/((-2)\/c).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 125622 * -0.3.\nAnswer: -37686.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(1\/22)\/l**(1\/2))\/((l*((l*l**(-6)*l)\/l)\/l)\/(l\/(l\/l**(-42)*l))) assuming l is positive.\nAnswer: l**(-423\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.12 - -2.88. Which is the third smallest value? (a) 4 (b) h (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.41 - 914.\nAnswer: -911.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 2*g + 3 + (2*g + 5*g - g)*(-3 + 0 + 1).\nAnswer: -10*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((sqrt(272) + -1)*4 - -1*-1*sqrt(272)) + (-4*sqrt(170)*1)\/(-2*sqrt(20)\/sqrt(2)))**2*-4.\nAnswer: -262992 + 9920*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 82199315.\nAnswer: 5, 11, 137, 10909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1395165338 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {q: 2, f: 5, l: 3}?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - -1) + -1 + -4 + -4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 17696975?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 2) in base 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -3*w**2\/8 - 1389*w\/8 + 1395\/4 = 0.\nAnswer: -465, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 15 = 4*f + 25, -5*f - 55 = 5*o for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 3) to base 11.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**2 + 6*i - 3. Let m be r(5). Suppose -m*k = -a + 4*a - 29, -k = -4*a - 20. What is the highest common divisor of k and 144?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 52629 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 112, 455, 1026, 1825, 2852?\n\"Answer: 114*g**2 + g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -330 - -494. What is the tens digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 53 (b) -4\/5 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/4*249\/(-1494)*(-884)\/(-13).\nAnswer: -85\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7112568*w**2 + 3008546 wrt w.\nAnswer: -14225136*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -195 - 1505 = 15*o + 85*o for o.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17 - (-79)\/(790\/140)) + -60*(-6)\/4?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 2*t**2. Let k(b) = -358*b. Calculate k(q(l)).\nAnswer: -716*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (9\/18)\/((-1)\/(-24)). Let k be 2\/3 - (-640)\/t. Suppose -3*z + o - 156 = -6*z, -k = -z - o. Is z a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 26\/5, -1\/2, -851, -1, 110?\nAnswer: -851","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 to the power of 1\/2, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2990 and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9405 and 225720.\nAnswer: 225720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18791595?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, 1\/4, 678, 0.2?\nAnswer: 678","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*v - k - 21656 + 21653, 4*v + 4*k = -8 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 2*k + 14 = 0, 5*o - 4*k - 13 = 11. Suppose -4*f - 3*j = -3, -o*j - 1 = -5. Are 0 and f equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -2208*w + 827. What is the units digit of q(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -883*y = -493*y - 1560 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 92 (b) 12 (c) 15 (d) 0.152\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3\/356 + 13465\/7476. Let o = b - 10\/21. Suppose 8*y - 10 = 3*y. Which is smaller: o or y?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**3 - 134*f**2 - 1533*f + 2623. Calculate a(-12).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-12\/11)*r\/(r*r\/((r\/(r**(-1\/3)\/r)*r)\/r)))\/(r\/((r*r\/(r\/r**(-8)))\/r)*r**(-1\/3)) assuming r is positive.\nAnswer: r**(-245\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -4*q**3 - 3*q**2 - 3*q - 11. Let g(w) = 3*w**3 + 2*w**2 + 2*w + 7. Let u(f) = -3*g(f) - 2*s(f). Let c(y) = 3*y**3 - 6. Give c(o) + 2*u(o).\nAnswer: o**3 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q = 8*q. Let j = -30 - -31. Which is the second biggest value? (a) -4 (b) q (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l + 16. What is the units digit of g(-7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -33*b + 1942 + 1556. Solve 16*i + b - 42 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**3 - 6*p**2 - 2*p + 4. Let g be t(-6). Let k = 7 - g. Let j = 15 + k. Solve -j = -4*w + 14 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express w**3 - 3*w + 3*w + (-66 + 66 - 17*w)*(w**2 + 2*w**2 - 6*w**2) as x + b*w**3 + f*w**2 + c*w and give b.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) -0.64 (c) -0.09 (d) 6\/11 (e) 0.05 (f) 2.5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -849 - -1328. List the prime factors of m.\nAnswer: 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*o + 78*o - 8 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = -2*z + 4. Let m(j) = -j**3 + 18*j**2 - 17*j. Let o be m(17). Suppose 5*h - 41 + 16 = o. What is the remainder when h is divided by z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 + -ca17?\nAnswer: -ca16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 88473068 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20 + 15 - 11 + (0 + 2 - 1)*(5 - 2 - 2))*(-3 + 3 - i)*(3 - 1 + 0).\nAnswer: 30*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 124008957 a multiple of 97?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n + 10. Let h be r(-7). Suppose -196 + 3*j**3 + 196 + h*j**2 = 0. What is j?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the third derivative of -405*n**4\/8 - 1753*n**3\/6 + 2338*n**2. Differentiate u(w) wrt w.\nAnswer: -1215","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.1 - -1.1. Let t = 326 + -2930\/9. Let l = 5514.42 - 5514.72. Sort t, 2\/3, u, l.\nAnswer: l, t, 2\/3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 2*v + v - 62, -3*n - 5*v = -41. Suppose -n - 186 = -w. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*q**3\/2 + 2220*q**2 - 32856*q = 0 for q.\nAnswer: 0, 148\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 35) + -156 + 164 + 10?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.5 from -101826.8.\nAnswer: -101826.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/48)\/((-845)\/(-1014))?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the first derivative of 0*t - t**4 - 8\/3*t**3 + 6*t**2 + 97. Find l such that b(l) = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 4*x**3 - 7*x**2 + 9*x + 6. Let r(d) = -d**2 - 18*d - 4. Calculate the remainder when g(2) is divided by r(-17).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 0 = 2*y - 2*j, -5*y = 4*j - 7. Suppose -3 - 9 = -4*o. Put -3, o, y in decreasing order.\nAnswer: o, y, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -6\/6451?\nAnswer: -6\/6451","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 48540 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4547 by 11.\nAnswer: -4547\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and -3\/976 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-13 - -16 - (0 + 1)). Which is smaller: 2.4 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 34858 divided by -1202\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.1 - -1.9. Let i = p - -2.2. What is the second biggest value in i, 2\/7, 0.7?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -12*l + 10*l. Let z(p) = p**3 - 6*p**2 + 6*p. What is z(l)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mjjggeekegmqgggjgj. Give prob of picking 1 k and 1 j.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -11 - 11 + 29 + 3*y**2 + 0 - y. Let h(m) = -m**2 - 1. Give -6*h(n) - k(n).\nAnswer: 3*n**2 + n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 54917*i**2 + 675*i - 676. What is the ten thousands digit of k(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101000001010011 - -1110001101?\nAnswer: -1100110011000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 2) in base 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 4*z - 9 = 3, 4*i = 2*z + 12. Let j be (-2)\/(-3 - (-3 + -2)). Let b = i + j. Solve 0*x - 4*x + 27 = -b*n, n + 5 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o*o\/((o**(-10)\/o)\/o))*o\/(o**8*o)*o)**31*(o*o**2)**(2\/45)*(o\/(o\/(o\/(o\/o**(1\/4)))))**(1\/4) assuming o is positive.\nAnswer: o**(-148753\/240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -606, -1345, -2280, -3411, -4738?\n\"Answer: -98*u**2 - 445*u - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 116*s - 115*s - 88 = -b, 3*s - 4*b = 236. What is the remainder when 352 is divided by s?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7 is divided by (-54)\/(-10) + (-6)\/15.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -134 - 902 = -7*i. Calculate the greatest common factor of i and 1258.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/4, 0, -48, 9, 2\/3 in descending order.\nAnswer: 9, 3\/4, 2\/3, 0, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00011352308136 rounded to five decimal places?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**2 + 15*n - 27. Let f be a(-19). Let v = f + -47. Is v - (6 - 2) - -171 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q**2\/9 - 28*q\/3 - 147 = 0. Calculate q.\nAnswer: -63, -21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 14 in 13, 2, 20?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5028 by -23.\nAnswer: -5028\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(7 - (12 - -362)))\/((-18)\/(-36)).\nAnswer: -2\/367","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1963 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: Let j(z) = 3*z**3 + 67*z**2 + 16*z - 41. Calculate the least common multiple of 13 and j(-22).\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*k = 27*k - 68. Is k >= -36?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1903 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -64027599 and -0.2?\nAnswer: 12805519.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -503 - -595. What is the remainder when v is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*k - 34*k = 5, -2*k = f + 5 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -40517 (base 9) to base 6.\nAnswer: -323241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10692*x**3 + 15*x**2 - 31*x**2 + 14*x**2 + 10690*x**3 - 21391*x**3 + 19*x**2.\nAnswer: -9*x**3 + 17*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sms when three letters picked without replacement from {s: 8, x: 3, m: 6}?\nAnswer: 7\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes before 9:15 PM?\nAnswer: 10:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-304500)\/(-9828) + -44 + (13 - 0).\nAnswer: -2\/117","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - 6) + (-5 - -3) + 6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(85)\/sqrt(80) + -4 + -4 - 6*(-5 + sqrt(17) + -1 + sqrt(17) - (sqrt(1700) + 0)).\nAnswer: 28 + 193*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 6 + -3 + -2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**2\/d*d)\/((d\/d**10)\/d))**(-15)*(d*d**3\/d*d)\/d*d**(-2)\/d*(d**(1\/4))**19 assuming d is positive.\nAnswer: d**(-761\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 434129636?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 77956862?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.784921 rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -53\/276 + -13\/92. Let v be (1030\/40)\/((-30)\/8). Let o = 7 + v. Which is the closest to 0.2? (a) 18 (b) o (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**2 - 5*q - 11. Let t be o(7). Suppose -4*i = -0*i + 2*h - 110, 5*h - 65 = -t*i. Round i to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6970362 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2220?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 142?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 2 = -4*h + 4, 0 = -2*u + 2*h - 4. Let y be 24*(u + 25\/15). Let d = -28 - y. Let i(s) = -4*s + 6. What is i(d)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 242662509 to the power of 1\/5, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (358 - 505 - 1581)*(-r**5 - 2*r**5 + 4*r**5).\nAnswer: -1728*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7332 and 312.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * 94.\nAnswer: 376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - 75 = 17*u - 47*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 331234 (base 5) to base 10.\nAnswer: 11444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = b - 13 + 15 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 - 18*1\/(-4)*-122. Let s = 3838\/7 + p. Does -0.4 = s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -15065, -2, -5, -3 in ascending order.\nAnswer: -15065, -5, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14626, 29918, 45210, 60502, 75794, 91086?\nAnswer: 106378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 941.553mm?\nAnswer: 941553000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 + 5 - 74 = 2*i + 5*c, 2*i + 85 = -3*i - 5*c for i.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*o - 5*o + o + (-323*o - 83*o - 299*o)*(5 - 4 + 1)*(3 - 6 + 2))*(0*o - 5*o + 4*o) to the form w*o + g + u*o**2 and give u.\nAnswer: -1403","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + 3, 10*n = 5*n - z + 21. Let t(u) = 4 - u - n + 8*u. Let o(r) = 16*r - 40. Let w(i) = -22*i + 56. Let k(x) = 7*o(x) + 5*w(x). What is k(t(p))?\nAnswer: 14*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -129 + 99 + (-3 - -8 - -4).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 1\/10 of a micrometer?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o + 4*f + 86, o + 2*f - 5*f - 26 = 0. Let z(d) = -5*d - o + 14. Let v(q) = -2*q**2. What is z(v(s))?\nAnswer: 10*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -3543 (base 8) in base 6?\nAnswer: -12431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 t when three letters picked without replacement from mumtm.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 732 + -705. Calculate the remainder when j is divided by 16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -574986, -4599948, -15524850, -36799662, -71874354, -124198896, -197223258?\n\"Answer: -574995*c**3 + 3*c + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 4*w + 68354 = -271676, 6*p - w - 1020024 = 0. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2547 + 5014. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -3*m - 47, -17 = 4*d - m - 70. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.2 - -0.1. Let h = 77.6 - 78. What is the nearest to c in -9\/2, -2\/3, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (-3 + 0) - (17 - (1 + 8)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -10.6859 to zero dps.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -149 + 743\/5. Let g be 9\/(-11) - (0 + -1). What is the nearest to p in g, -0.3, -5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1286*q - 5*q**2 + 242*q + 1044*q.\nAnswer: -5*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -461*i**2 - 459*i**2 + 919*i**2.\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or -9?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2805216?\nAnswer: 2, 3, 29221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/23 (b) -2 (c) 0.8 (d) 3 (e) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:21 AM and 7:50 AM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**3 - 2*z**2 - 3*z + 1. Let o = 27 - 29. Let a(q) be the first derivative of 5*q**4\/4 + 3*q**3 + 6*q**2 - 5*q + 1247. Calculate o*a(f) - 9*p(f).\nAnswer: -f**3 + 3*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0541284691 rounded to 5 dps?\nAnswer: 0.05413","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 251 + 29669?\nAnswer: 2990a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 4, j: 3, t: 6}. What is prob of sequence jj?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17 + 32 - 13)*(y + 2*y - 5*y)*(0 - 1 - 1) + (-1 + 1 - 2*y)*(-2 + 0 + 1) + 6*y - 2*y - 2*y + 2*y - 6*y + 3*y + 3 - 2*y - 3.\nAnswer: 145*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -64578*a*x*y - 7*a*x - 1337762*a - 8083*x*y**3 - 10*x - 2 wrt y.\nAnswer: -64578*a*x - 24249*x*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 14*f**3 - f**2 + 6*f - 5. Calculate the smallest common multiple of z(1) and 258.\nAnswer: 1806","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*t**4 + 240 - 509 + 3*t + 271 + 2*t**2 in the form g*t + d + q*t**3 + v*t**4 + k*t**2 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/10 + (-123)\/(-15). Let r = 10 - n. Suppose -r*d = -d - 1. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -484 + 494. Is 255\/m*(-1 + (-49)\/(-3)) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000826772261 to 6 dps.\nAnswer: 0.000827","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-104)\/30)\/((595\/11475)\/(147\/(-126))).\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 12651, 28805, 55721, 93393, 141815, 200981, 270885, 351521?\n\"Answer: -d**3 + 5387*d**2 + 7265","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -4*q + 1141, -4*i = -0*i + q - 4564. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8361072 is divided by 760081.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j*j*j**(-2))**(8\/5)\/((j\/(j*j\/(((j**12*j)\/j)\/j)))\/(j\/(j*(j\/j**(-3\/5))\/j*j*j))) assuming j is positive.\nAnswer: j**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, -5, 3, -3 in ascending order.\nAnswer: -20, -5, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**2 + 6*y - 6. Let j be h(-7). Suppose 0 = 4*r - 7 - j. Suppose 5*l + 3*w - 62 = 5, -r*w = -4*l + 36. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -p*q**2 + 2999*p*q - 3259*q**2 with respect to p.\nAnswer: -q**2 + 2999*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-111)\/(-15) + 4\/(-10). Suppose 0 = 6*m - y*m + 15. Let a = m + -9. Solve -4*q + 3*o = -17, -2*q + 5*q + a = -4*o for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r**3 - 128*r**2 - 83*r + 42 = 0. Calculate r.\nAnswer: -42, -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(48)\/sqrt(2) + (sqrt(24) + sqrt(216) - sqrt(24))*5)\/(2*sqrt(972) - sqrt(972) - (sqrt(12) - (sqrt(1728) + sqrt(48)))).\nAnswer: 10*sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**3 + 5*r**2 - 4*r + 6. Let z be k(4). Let g(y) be the second derivative of 475*y**3\/6 - 7*y**2\/2 + 4*y. Is g(z) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 48*r**3 + r**2 - 3*r + 2. Is 16 a factor of o(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11 - -30. Let g = -61 + 50. Let j = g + b. What is the greatest common factor of 72 and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 760 - 701. Calculate the remainder when m is divided by 39.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*d**3 + 15*d**3 + 15*d**3 - 5 - 8*d**3.\nAnswer: 25*d**3 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -3*s**2 + 35*s + 12. Let o be l(12). Solve o*w - 3*w - 7 = x, 2*x + 8 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 294 is divided by 34?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30236400 is divided by 200241?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.83 - 66.83. Let q = t - -66.033. Round q to 2 dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.188684888 to five dps.\nAnswer: -0.18868","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15 is divided by (33\/11)\/((-3)\/(-4))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 9869434?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51*b**2 - 1 + 19*b**2 + 39*b**2.\nAnswer: 7*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 4*j - 52 - 161, 2*l = j - 60. Let h be j\/(-45)*(-20)\/6. Suppose c - h*c - 3*p = -456, 4*p + 733 = 5*c. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -34*j**5 + 6*j**2 + 10*j + 8. Let i(y) = -y**5 - y**2 - y - 1. Let o(v) = g(v) + 6*i(v). Find the second derivative of o(s) wrt s.\nAnswer: -800*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -2*t + 10. Let m be i(4). Suppose -m*j - 2 = -12. Suppose -j*u + 106 = 6. What is the remainder when 57 is divided by u?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 112.69223 rounded to 0 dps?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 31.1 to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 32\/56*(-1)\/(-2)*5.\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -27 (base 12) to base 15\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x = 0, -x + 2 = 60*h - 62*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 + -3. Let l = d - -22. Is l a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1628352*p + 1628352*p - 9*p**2.\nAnswer: -9*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -52 + 46 + (12 - 0).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -41 + -5. Let k = o + 45.86. What is k rounded to 1 decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 211?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 6\/11, -8, -6?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than -2\/1765115?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 123484.\nAnswer: 2, 30871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 3*b**2 + b**3 + 11*b**3 + 6*b**5 - 21*b**5 - 12. Let g(d) = d**5 - d**3 + 1. Let j(o) = -12*g(o) - m(o). Find the third derivative of j(z) wrt z.\nAnswer: 180*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.03, 1.4, -4?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -2*d**3 - 17*d**2 + 16*d + 7. Let w be r(-9). Is w > -56?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, -1, 4.\nAnswer: -1, 0, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - (-3 + (6 - 1)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-72)\/(-21))\/((-155)\/((-691145)\/2366)).\nAnswer: 84\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 111 + 310*s - 111 + 23*s to f + m*s and give m.\nAnswer: 333","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 4, z: 1, c: 2}. What is prob of picking 1 p and 1 z?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**2 - 9*t + 9. Let f be i(-8). Suppose q - 5 = -3*j + f, -j + 22 = 4*q. Suppose -3*s = -0*s - j. Is s at most as big as 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9 and 141?\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(-2\/5))\/(x\/(x\/x**(3\/2)))*(((x**(5\/4)*x)\/x)\/x)\/((x\/(x\/x**(2\/5))*x*x*x)\/x))**(3\/10) assuming x is positive.\nAnswer: x**(-183\/200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6332.9 - -6335. Which is the closest to -2\/5? (a) 21 (b) 0.5 (c) 2 (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2487971 smaller than 2487972?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1144, 1159, 1174, 1189, 1204?\n\"Answer: 15*d + 1129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**3\/7 + 80662*t**2\/7 + 1626508896*t\/7 - 3253340448\/7.\nAnswer: (t - 2)*(t + 40332)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-16)\/(y**(-13)*y) assuming y is positive.\nAnswer: y**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 386896*q**2. Let n(w) = -4*w. What is s(n(l))?\nAnswer: 6190336*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 25*i. Suppose -7*n + 19 = -9. Let f(s) = n*s + 15*s - 15*s. Calculate x(f(y)).\nAnswer: 100*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 63647 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -163, -291, -419, -547?\nAnswer: -675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -28e (base 16) to base 5.\nAnswer: -10104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77)*1*1 + sqrt(77)*1*5)\/(sqrt(63)\/(sqrt(9) - sqrt(1620)\/sqrt(5))).\nAnswer: -30*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -94 - -82.7. Let y = -1233 - -1220. Let i = y - m. Is i not equal to -3\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3785010 rounded to the nearest 100000?\nAnswer: 3800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 232 (b) -1\/12 (c) -1\/10 (d) 4 (e) 0.5 (f) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the second derivative of -w**8\/840 - 2*w**7\/525 - w**6\/300 - w**2\/2 + w. Let c(z) be the first derivative of m(z). Factor c(x).\nAnswer: -2*x**3*(x + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the first derivative of -t**3\/3 + t**2\/2 - 8*t + 3. Let w be k(0). Let h be ((-2)\/12)\/(2\/w). Sort -0.3, -1, h in descending order.\nAnswer: h, -0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17 - 11. Solve 2*y - j = 2 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 - 4. Let d = z - 5. Suppose 0 = -d*p + 4076400 - 13276400. Round p to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and 0.0233.\nAnswer: -0.1165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3275 + 3475. What is the nearest to c in 0.1, -1\/3, 0.11?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the third derivative of 0*q**5 + 4*q**2 - 1\/210*q**7 + 0*q**3 + 0 - 5\/112*q**8 + 0*q + 0*q**4 + 1\/60*q**6. Suppose k(y) = 0. Calculate y.\nAnswer: -2\/5, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 + -13. Let r = n - -4.92. Let g = r - 0.02. Which is the second biggest value? (a) g (b) -3\/4 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (210\/(-25) - 28\/(-20))*-2. What is the second biggest value in 5.7, f, 0.4?\nAnswer: 5.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94*d + 95*d + 179 = 0. Let p = d + 540. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 5 - 7 = -3*v, 5*v - 4 = -3*h. Is 11 a factor of v*17\/(-3)*6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11.66 + 13.66. Which is the second biggest value? (a) 5 (b) u (c) -4 (d) -15 (e) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3240 is divided by 985?\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 0 - 2)*(-12 + 4 - 1)*(1 - 1 + p + 0*p + 5*p - 4*p + (-1 + 3 - 4)*(-2*p + p - p)).\nAnswer: -108*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0, 42 in decreasing order.\nAnswer: 42, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**2 + 23. Let h be (-4)\/(-14) - (-2)\/(-7). Let u be m(h). Suppose -7 = -5*t + u. Calculate the highest common factor of 48 and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -77561 (base 8) to base 10\nAnswer: -32625","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + o = 5, 114*q + 3*o = 116*q - 6 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 19 = 4*t, 0 = -5*o - t + 540 - 541 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106*f + 172 = -104*f - 24*k, 6*k = 5*f - 160 for f.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5463.1 - 5463. Which is the nearest to -10? (a) r (b) -16 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 75 divided by -141367\nAnswer: -75\/141367","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = 6 - 2. Let k = w + 26. Suppose -147 = -2*c - 47. What is the highest common factor of c and k?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 42449 and 110704?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 152 - 5907502*k - 152.\nAnswer: -5907502*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -4 + -2271263.6430294\nAnswer: -2271267.6430294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 3*o = 0, 381*z - 383*z - 4*o - 14 = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 395*k - 348*k + 3 - 8 + 5 in the form g*k + h and give g.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**2 - 3*k**2 + 2 + 6*k**2 + 0*k**2. Is q(2) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 2*c = 12, -3 = 24*c - 25*c. Solve -r = -p*r - 25 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13640*-0.1\nAnswer: -1364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 27917 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 13866, -29 in descending order.\nAnswer: 13866, -2, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i + 2*i = 2 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w + 2045 = 13*w. Let t = w + -244. Suppose t = 3*x - 153. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z + 2. Let n(w) = w**3 + 8*w**2 - 3. Suppose j + 32 = -3*j. Let k be n(j). What is l(k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/566 (b) 0.12 (c) 1\/5 (d) -2\/7 (e) 5 (f) -0.1 (g) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 594, 589, 584, 579, 574?\nAnswer: 569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 609 + 31*f - 106*f - 616. Is i(-1) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-24)\/7*(-35)\/(-55) - -2. Suppose 5*m + 3*q = -137, -3*m = -0*m - q + 85. Let t be (-24)\/m*4\/6. Put s, -1\/4, t in descending order.\nAnswer: t, s, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c = 587 - 69. Solve 4*o = 58 - c for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-5*2*sqrt(204)*5)\/(1*1*sqrt(972) - -1*sqrt(972)*-2).\nAnswer: 50*sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 - 1 - (-86534)\/9360. Let f = c + 17\/520. What is the common denominator of (-15)\/(-4) - (-5)\/(-15) and f?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -2 + (-10 - -3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 10*c**2 - 95*c + 271. Give f(6).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 58583?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(54)\/(sqrt(6) - (sqrt(6) - (sqrt(6) - (-4*sqrt(6) + sqrt(6)))*1)))\/((sqrt(24) - (sqrt(24) + sqrt(24)*-3*-3))\/sqrt(8))*-4.\nAnswer: 5*sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-2\/3)\/x)\/(x\/x**(-21))*(x\/(x\/x**(-22))*x)\/(x\/(x\/(x**25\/x))*x))**(-2\/3) assuming x is positive.\nAnswer: x**(418\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - z - 16 = -4*p, -4*z - 22 = -3*p for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -153*a**3 - 24*a**2 - 47*a - 4. Let g be d(-2). What is the greatest common divisor of g and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -624 or -623?\nAnswer: -624","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.16 - 17.84. Let d = 17.15 + m. Round d to 1 dp.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21541.\nAnswer: 13, 1657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -91 or 224?\nAnswer: 224","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes after 7:26 AM?\nAnswer: 10:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 249173 is divided by 786?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -68*u**5 - 230*u**3 + u**2 + 61*u - 51 wrt u.\nAnswer: -1360*u**3 - 1380*u + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1115 and 3568.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 + 0\/(-1) - 1. Let f(m) = m**3 + m. Let w be f(k). List the prime factors of 16 + w + 4 + -3.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of m**2*w**2 - m**2 - 43*w**2 - 29*w wrt w.\nAnswer: 2*m**2 - 86","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1 * -2.686\nAnswer: 2.686","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -508 divided by 111\nAnswer: -508\/111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -27\/16, 28, 5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -212*o - 261*o = -70*o - 13702 for o.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1840 + 949 - 198 + 344)*(-9*h**2 + 9 - 9).\nAnswer: -26415*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 40.3 or -162152?\nAnswer: 40.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -330, -825, -1284, -1707, -2094?\nAnswer: -2445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3772*j = -24458*j - 2213402 for j.\nAnswer: -107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 6*c + 3. Let s(h) = h**2 - 7*h - 4. Suppose 99*i - 112*i + 65 = 0. Suppose p = 5*z - 16, 0 = z - 4 - 0. Calculate i*m(v) + p*s(v).\nAnswer: 4*v**2 + 2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -270 - -270.4. Which is the third biggest value? (a) 2 (b) 12 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the first derivative of 188*r**2 - 2*r + 1677. Let b(g) = -3*g. Give l(b(q)).\nAnswer: -1128*q - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01194551 rounded to four dps?\nAnswer: 0.0119","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {r: 2, n: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -4*u**3 + 1. Let o(g) = 11*g**3 - 3. Determine 17*f(y) + 6*o(y).\nAnswer: -2*y**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/3744 and -31\/4576.\nAnswer: 41184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11 + -6. Suppose n - u - 4*u = -2, -4*n + c*u = -52. Let p = 3 + n. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 - (1 + 1 - 50). Suppose -n + s = 3*n. Suppose -2*u - n = -44. What is the least common multiple of u and 8?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 562, 2370, 5374, 9568, 14946, 21502?\n\"Answer: -l**3 + 604*l**2 + 3*l - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 65 divided by -507.\nAnswer: -5\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 55107*h**2 + 70*h**3 - 4 - 55107*h**2 to y*h + a*h**2 + o*h**3 + s and give o.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -2 (b) -7 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 3, 41, 105, 195, 311, 453?\n\"Answer: 13*b**2 - b - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5*4\/40*4. Let t = -15 + 43. Suppose -z*k + 5*b = -k - t, -14 = 2*k + 4*b. What are the prime factors of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 21 - 19. What is the biggest value in -2\/13, h, 0.2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the second derivative of -b + 0*b**2 + 0 + 0*b**3 + 1\/12*b**4. Let m(f) = -4*f. Calculate m(q(z)).\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, q: 8}. Give prob of picking 2 q.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -5 + -1 + 3 + -2\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2915663 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-9)\/(-3)*2\/3. Let c(q) = -s - 2 + 3 + 6*q**2 + 6*q - 1 + q**3. Determine c(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2415, 1472, -101, -2304, -5137, -8600?\n\"Answer: -315*g**2 + 2*g + 2728","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -3*k**3 + k**2 - 3*k + 2. Let z be v(1). Is ((-6 - 13060) + z)\/(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**2 - 4*l + 14. Let z be t(-6). Suppose -3*y + z*y = -2. Determine r so that r**3 + 4*r + 3*r**2 - 5*r - 3*r**y = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4112587\/27 or 152318?\nAnswer: 4112587\/27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 1881?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16*-138511.\nAnswer: 2216176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -132*y**3 + 35*y**2 + 3*y - 98. Let x(b) = 44*b**3 - 13*b**2 - b + 33. Give -4*s(h) - 11*x(h).\nAnswer: 44*h**3 + 3*h**2 - h + 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -15*y**2 - 2*y - 2. Let g be u(-1). Let x = g + 10. Sort x, -1, 1.\nAnswer: x, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 2 = -18. Solve x = -f - f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-40)\/(1\/(4\/(-8))). Let j = -4 + f. What is the remainder when (-190)\/(-4) + (-2)\/4 is divided by j?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 2*v**3 - 6*v**2 - 5. Let y(n) = n**2 + 1. Determine -w(f) - 5*y(f).\nAnswer: -2*f**3 + f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.519637 tonnes to nanograms.\nAnswer: 519637000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3587210?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*p**4 + 10*p**3 - 20*p**2 - 10*p + 15.\nAnswer: 5*(p - 1)**2*(p + 1)*(p + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3390582\/(-24) - 1\/(-4). Let b = -290274 - l. Round b to the nearest ten thousand.\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (81345\/957)\/((-10)\/(-3))\nAnswer: 51\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 7*d - 61. Let i be k(11). Let g be (-4)\/10 - 4\/(-10). Suppose l + i - 102 = g. Calculate the remainder when l is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 3*w**2 - w**2 - w**2. Let t(x) = 3*x. Give t(f(h)).\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 72669700 to the nearest one million.\nAnswer: 73000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 320\/(-56) - (-4)\/(-14). What is the common denominator of (-628)\/80 - l\/(-15) and 43\/20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 2*m + 217 = 0, 0 = -w - 4*w + 3*m - 213. Let n = w + 100. List the prime factors of n.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**2 + 11*s + 12. Let p be a(-10). Suppose 14 = 4*l + 6. Suppose -x**l + x**2 + p*x**3 - x**2 - 5*x**2 - 2 + 6*x = 0. Calculate x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**2 - 13*v - 24. Let l be q(-12). Let f(d) = -d**2 - 13*d + 2. What are the prime factors of f(l)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/489 and ((-504)\/(-35))\/(4\/(-10))?\nAnswer: 489","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**2 - 13*g + 49. Let m be r(12). Suppose 18 = -3*d - 2*p + m, 2 = -d + p. Solve -7*l + 3*h + 3 = -3*l, d*l + 3*h = 18 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 167071*w + 88. Is z(1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 133*u + 661. Calculate h(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -14 - -27 - (8 + -3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2816)\/768*1\/(-11).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 195 = -4*a - a. Let f = a - -53. What is the highest common factor of f and 84?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1155302 by 19919.\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z**2 + 0*z**2 - z**3)*(z - 2*z + 2*z) + (-2*z + 2 - 2*z - 3)*(2*z**3 - 2*z**3 - 3*z**3).\nAnswer: 11*z**4 + 3*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -342577, -342573, -342569, -342565, -342561, -342557?\n\"Answer: 4*k - 342581","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v = v, -5*i - v = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**2. Let d(o) be the third derivative of -11*o**4\/24 + 10*o**2 + 3*o. Give d(c(t)).\nAnswer: -11*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.874396 rounded to 1 decimal place?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2373 and 126?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 7*p - 29. Let x be f(12). Suppose x*g = 58*g - 1041. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 59 - 24. Suppose -8*b = 3*u - 13*b - 60, 2*u - 5*b = r. Solve 3*c - u = 2*v - 2*c, 0 = -4*c + 20 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**2 + 2*c - 2. Let a(j) = -j**2 - 7*j - 3. Let u be a(-5). Suppose -u*l = -2*l - 10. Is q(l) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes after 5:32 PM?\nAnswer: 12:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1a53437 - 1?\nAnswer: 1a53436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -34 in -43, -0.1759, -3\/7?\nAnswer: -43","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-121)\/(-4) - (34\/72 + (-38)\/171).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 288 and 9738?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(17)*3 + (sqrt(17)*-2 + 4)**2.\nAnswer: -13*sqrt(17) + 88","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + 318*v - 330*v + 28 = 0, 2*p + 2*v - 8 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 40024 and 136?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 785*i + 6962. Give y(-9).\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*o - 57 = -2*o. Solve o*d = -9 - 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r*r\/r**9*r**(-3\/5))\/(r**(-1\/4)\/r**(-3))*r\/(r*r\/(r\/(r**(-6)\/r)))*r**(-1\/2)*(r**(-1\/4))**(-9\/8) assuming r is positive.\nAnswer: r**(-411\/160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (27*(-42)\/(-882))\/((-1)\/(-105))?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3300 (base 4) to base 10\nAnswer: -240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the third derivative of 0*f**4 - 2*f**2 + 1\/70*f**7 + 0*f**5 - 1\/3*f**3 + 0*f + 0 + 0*f**6. What is the derivative of z(k) wrt k?\nAnswer: 12*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 12.6684058 to one decimal place.\nAnswer: 12.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -5*b - 3. Determine n(4).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = p + 5*c + 1, 0 = 5*p - 2*c - 5. Is 5060\/24 + p\/6 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -200558 + 345998. Is (p\/(-192))\/(3\/(-4)) a multiple of 73?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/9, -2, 16\/73, -3\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 766 = -183. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 126*278.2\nAnswer: 35053.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -37b0ba (base 12) in base 15?\nAnswer: -12eced","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 16*p**4 - 3*p**3 + 3*p - 38. Let f(r) = -33*r**4 + 5*r**3 - 5*r + 76. Let b = -27 + 24. Let q(m) = b*f(m) - 5*n(m). Differentiate q(k) wrt k.\nAnswer: 76*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-377)\/(-39)*(4 - (3 - 2)) is divided by 25.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39360133?\nAnswer: 433, 90901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 101584778159 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1709 + 2530. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*j - 2*j + 83 = -115 for j.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 divided by 30?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(((2*sqrt(119) + sqrt(119))*-1 - sqrt(119) - sqrt(119)) + sqrt(119) + sqrt(119))\/(sqrt(28)*-6).\nAnswer: -3*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*h - 0*h + 16 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (21\/9 - 3)*-36. Suppose -u + 9 = 2*u. What is the greatest common factor of s and u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 444*d + 1554*d - 5450*d - 2 + 5.\nAnswer: -3452*d + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.779*-9676.\nAnswer: -17213.604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -8 + 3 + 3 - 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:57 AM and 10:22 PM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a millisecond in microseconds?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 10\/(-45) - 1412\/(-36). Suppose -20 = 34*h - q*h. Suppose -h*o + 209 = w, 2*w - o + 0*o = 454. What is the highest common divisor of 25 and w?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -3*a**2. Let i(r) = r**2 - 23. What is l(i(v))?\nAnswer: -3*v**4 + 138*v**2 - 1587","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*i**5 + i**5 + 2*i**5 + (-i**4 - 2*i**4 + 7*i**4 + (3*i + 2*i - 3*i)*(-3*i**3 + i**3 + i**3))*(i + 1 - 1).\nAnswer: 5*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**3. Let d(n) = -6*n**3 - 1. Let k(c) = -d(c) - f(c). Let o(z) = 6*z**3 + 2. What is -5*k(u) + 4*o(u)?\nAnswer: -u**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/5 of a gram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -2\/3, -4, -1\/19?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1424.1 and -268.3?\nAnswer: 382086.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -344035, -688077, -1032119, -1376161?\nAnswer: -1720203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26653?\nAnswer: 11, 2423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 7) in base 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 856267?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -28512, -57925, -87318, -116691?\n\"Answer: 10*p**2 - 29443*p + 921","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15 + -9. Let c(w) = 3*w**2 + 13*w + 29. Calculate the remainder when c(-3) is divided by k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34251 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: Let x(h) = -h. Let l be x(-3). Suppose 5*y = -2*p + 33, 0 = -5*y + 13 + 12. Find the first derivative of -q**2 + 2 + l - p wrt q.\nAnswer: -2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 26 = d, 0*d - 133 = -3*d + 4*l. List the prime factors of d.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 + 3)*(-p - 306 + 3*p - 3*p).\nAnswer: -4*p - 1224","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6128)\/(-42) + 8\/3*41\/1148. Calculate the highest common divisor of 5183 and z.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0, 0.5, 17, 3\/8?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 138695 take away -28?\nAnswer: 138723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 127375 and 3045?\nAnswer: 77571375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -4*d - 2*d**2 - 2*d - 49 + 40 - d**3. Let q be l(-8). Suppose -249 = -3*x + 3*m, -5*x + 7*m = 4*m - q. What are the prime factors of x?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1873*l + 2439*l - 39054 = 0 for l.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as -3819100.9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -761*h + 148*h + 6146 + 597 for h.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4468516 to the power of 1\/2, to the nearest integer?\nAnswer: 2114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in -5, -3\/4, -32?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 803*y - 1559. Calculate the smallest common multiple of 8 and p(3).\nAnswer: 3400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1304*o**3 - 45*o**2 + 12*o + 845*o**3 + 460*o**3 + 3 - 2*o**3 - 4 + 4 + (-1 + 1 - o**3)*(0 + 3 - 1).\nAnswer: -3*o**3 - 45*o**2 + 12*o + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the third derivative of a**6\/40 + 5*a**3\/6 + 6*a**2. Differentiate h(v) wrt v.\nAnswer: 9*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i**(-4)*i))\/(i*i*i\/((i*(i**6\/i)\/i)\/i)*i*i)*i**(-7)*i**7\/i)**25 assuming i is positive.\nAnswer: i**50","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 11082390, 11082413, 11082448, 11082495?\n\"Answer: 6*s**2 + 5*s + 11082379","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(162) - 1*sqrt(162)))**2 - sqrt(16)\/(2*sqrt(392)).\nAnswer: -sqrt(2)\/14 + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 387789665 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the first derivative of 27*l**3\/2 - 20*l**2 + 7*l + 27. Let j(u) be the first derivative of c(u). Is j(14) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 260454 at most as big as 260645?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 1578 divide 14422920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and 359444040.\nAnswer: 1437776160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 129 a factor of 203985?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 4 = -4*v, -5*p + 4*p + 4*v = 7. What is the remainder when p is divided by 1\/2 + (9 - (-153)\/(-18))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -113616 divided by -12?\nAnswer: 9468","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-10)\/(-4) + (-4)\/(-8). Let l(x) = -17*x - 84. Let f be l(-5). Sort f, 2, n in decreasing order.\nAnswer: n, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -658 times -1\nAnswer: 658","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -657831940 divided by 58\nAnswer: -11341930","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 543733633 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (12\/(-3))\/((-9)\/1). Let x = 20\/11 - 78\/55. Let r = 0.3 - 0.2. Which is the closest to x? (a) -2\/11 (b) r (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 18, -1\/3, 0.3, 1, -2\/17?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**2 - 57*q + 91. Is 14 a factor of c(-34)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 2*g = 1 + 19, 2*b = -2*g - 10. Let o = b + 31. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.6 + -130.6. Let w = 124 + g. Which is the smallest value? (a) 2 (b) 5 (c) w (d) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 490\/240 + 9\/(-24). What is the closest to n in -0.3, 2\/5, 2\/11?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -30*h + 555. What is b(15)?\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 42\/13, 0.2, 3, 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5 - 2 - 3370\/1325. Let p = -3\/53 + j. Let -p*s**5 - 2*s - 4*s**2 - 2*s**4 - 2\/5 - 4*s**3 = 0. Calculate s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ut when two letters picked without replacement from ttuppuutputppt.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 17*d - 85. Let m be r(9). Differentiate -34*l + 6*l**4 + 3*l**4 - 7*l**4 - 47 - m wrt l.\nAnswer: 8*l**3 - 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -5 and 119.76?\nAnswer: 124.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 + 7 + 1 + -1. Suppose m*j - 30 = 3*j. Let f = 16 - j. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 180*15249.\nAnswer: 2744820","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the third derivative of -1217*v**7\/70 - v**5\/15 - 85*v**4\/24 + v**3\/6 + 71*v**2 + 8*v. What is the third derivative of z(j) wrt j?\nAnswer: -87624*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -13 + -2413?\nAnswer: -2430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 1 + -10 + 10\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -3 (b) -0.01 (c) 0.09 (d) -2\/1299\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*i*r**4 + 2*i*r**3 + 9*i*r - i - 4*r**4 + 122*r**3 - 19*r**2 - 44*r wrt r.\nAnswer: -120*i*r + 12*i - 96*r + 732","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-76) - -10*(-672)\/121600.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the second derivative of -y**6\/195 + y**5\/65 - y**4\/78 + 15*y. Solve h(m) = 0 for m.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -3*z + 1 - 18, 4*z - 24 = 4*t. Do 2\/47 and z have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 74820 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 1 + r + 5)*(659*r**2 - 5*r - 979555 + 979555) to l*r**3 + q*r**2 + s*r + k and give s.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lwll. What is prob of sequence wll?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 163 - 164. Let v be n\/((-2)\/6) + 77\/(-22). Which is bigger: v or -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:39 AM and 9:21 AM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yngymyh. Give prob of sequence nyh.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 176 and 6333280.\nAnswer: 69666080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*j - 583 + 583)*(4 - 2 - 1) as v + d*j and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -21 + 17. Sort -1, 0.1, i.\nAnswer: i, -1, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - a + 15, -10 = 2*h + 4*a. What is the second biggest value in 2, -3, h?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 - 28*a**2 + 22*a + 812. What is the remainder when 197 is divided by y(-28)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 5*f + 29 - 4 = 0, 5*o - 29 = 2*f. Suppose 0 = -o*g - 718 + 2183. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -98 - ((112 - 240) + -59)?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 53 = -4*z, -4*l = z - 3*l - 15. Suppose 2*n = -0*n + z. What are the prime factors of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1452*s + 339*s + 723*s)*(0*s**2 + 5*s**2 - 3*s**2) + (2*s + 2*s - 6*s)*(-2*s + 2*s + s**2).\nAnswer: -782*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 4 = -110. Let l = 56 - x. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 3 + 1 = 0. Let p = -44 - -46. Suppose 2*n - 6 = -p. Is n less than or equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 - -3. Let k be -4*4*m\/4. Suppose h = -3*h + k. What is the greatest common factor of h and 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 588792509 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 56, 76, 110, 164, 244, 356, 506, 700?\n\"Answer: v**3 + v**2 + 10*v + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -i + 2*i - 3, 0 = 5*q. What is the greatest common divisor of i and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes after 10:04 AM?\nAnswer: 8:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(24\/(-7))*6\/3.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 25608 * 1580\nAnswer: 40460640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + sqrt(19)*-2)*4)**2*2 + 0.\nAnswer: -640*sqrt(19) + 3232","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x - 42 = x. Let d = x - 4. Solve d = 2*a - 2*m + 8, 3*a - 5*m = -11 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes after 1:37 AM?\nAnswer: 7:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10.703 - -17.703. Let p = 1.7 + -4.7. Which is the third smallest value? (a) p (b) r (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 4*l - 412 = -28, 0 = -4*l - 20. Is w a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -27*d - 731. Let b be k(-28). Let w = -4 - -7. Solve 0 = -5*i - 8*m + w*m + b, -3*i = -4*m - 15 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the third derivative of -f**6\/120 + f**5\/15 - f**4\/12 + f**3 - 3*f**2 + 10*f. What is j(4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -7*r + 24. Let h be u(-6). Let n(t) = -h + 111 - 43 + 2*t. Let x(q) = 2*q + 2. Give 6*n(l) - 5*x(l).\nAnswer: 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -200 by 269.\nAnswer: -200\/269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 3*g + 2*p - 10 = 0, 2*p - 6 = 0. What is the common denominator of 30\/105 - (-1594)\/(-140) and ((-38)\/(-11))\/g + -1?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, -1027, -4, -3, -5, -14 in ascending order.\nAnswer: -1027, -14, -5, -4, -3, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the first derivative of -n**3\/3 + 18. Let f(l) = 2*l - l - 5*l. What is f(w(a))?\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -6*a**2 + 14*a - 2. Let y(o) = -o**2 + o. Let u(k) = -3*k**2 + 3*k. Let b(m) = u(m) - 4*y(m). Let s(h) = 5*b(h) + p(h). Does 7 divide s(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1485 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 419*t**3*v**2 - 8*t**3*v + 4*t*v**3 + 4*t*v + 2 wrt v?\nAnswer: 838*t**3 + 24*t*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 3*f - 3. Let k = -20 + 17. Let a(g) = 2*g - 3. Determine k*m(w) + 4*a(w).\nAnswer: -w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**3 - 12*j**2 - 142*j + 1085. What is b(8)?\nAnswer: -307","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the second derivative of -9\/20*b**5 + 1\/6*b**4 + 0 - 12*b + 1\/2*b**3 - 1\/2*b**2. Is l(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -be882 (base 15) in base 16?\nAnswer: -93f5f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 63, -3\/8, -4\/20449 in descending order.\nAnswer: 63, -4\/20449, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1895*x - 13794 - 31895 - 61362 = -4721 for x.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3265)\/2640*(-1)\/42. Let n = y + -1\/288. Which is greater: 0 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 116442 or -1\/5?\nAnswer: 116442","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:16 AM and 8:58 AM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3719)\/(-14876))\/((-2)\/(-11))?\nAnswer: 11\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the second derivative of -x**3\/2 + 2*x. Let u(z) = -z. Let a(v) = -2*f(v) + 9*u(v). List the prime factors of a(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20887 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 51156 smaller than 562730\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -6*a**3 - a**2 - a. Let i be b(-1). Let w(s) = -i*s - s + 8*s. Let g(x) = 3*x**2 + 2*x**2 - 5*x**2 + x**2. Determine w(g(p)).\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 367303.1 micrograms in milligrams?\nAnswer: 367.3031","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63540 is divided by 935?\nAnswer: 895","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 253509648 to the power of 1\/3, to the nearest integer?\nAnswer: 633","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 28848 less than -3?\nAnswer: -28851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, r: 8, u: 3, e: 4, x: 2}. Give prob of picking 1 x, 1 e, 1 r, and 1 u.\nAnswer: 16\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -5*j**3 - 27*j**2 + 18*j + 12. Let t(i) = -2*i**3 - 13*i**2 + 9*i + 6. Let a(q) = 3*h(q) - 7*t(q). Give a(9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, -4\/3, -1\/102, 0.5, -4?\nAnswer: -1\/102","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from busxuxgd. Give prob of picking 1 b and 1 x.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 3*k**2 - k + 3. Let p be z(-3). Suppose d = 4*d - p. List the prime factors of d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 298 and 396.\nAnswer: 59004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-4)*s)\/s*s\/(s*((s*s**(1\/3))\/s)\/s*s)*s*s\/s**(3\/10)*s**(-1\/7) assuming s is positive.\nAnswer: s**(-583\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 3*h = 4 - 3, 6 = -2*h. Let r(x) be the first derivative of 6\/7*x - 6 - 3\/14*x**v + 3\/35*x**5 - 3\/7*x**3 + 3\/28*x**4. Solve r(c) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16 - -18. Let x be ((-33)\/44)\/((-3)\/q). Solve -o**2 + 1\/2*o**3 + x*o + 0 = 0 for o.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 c when two letters picked without replacement from budccsybbcu?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 2 + 0 = 0. Suppose -d*j = -4*j + 20. Let z be (18\/(-15))\/((-4)\/j). Solve v + 2*r - 19 = 4*v, -4*r = -z*v - 23 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-18)*(-1170)\/(-15)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4.3 + -4.1. Which is the nearest to j? (a) -3 (b) 1\/12 (c) 0.1 (d) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6.5 - 6. Let j be (3 - 48\/15)\/(0 - 1). Which is the nearest to -3\/4? (a) -1\/7 (b) j (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.02 times 19005.7845\nAnswer: -380.11569","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 2*sqrt(200) + sqrt(200)*-2*5.\nAnswer: -80*sqrt(2) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2344419 by 3383.\nAnswer: -693","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + -1 - 22 - -11.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2036 a factor of 259781283?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 74605.56 millennia in years?\nAnswer: 74605560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -99.7 + -0.01?\nAnswer: -99.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38360504 divided by 5336.\nAnswer: -7189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2\/3)*g**(2\/39))**14\/((g*g*g\/(g**(-1\/3)\/g))\/(g\/((g**(2\/3)*g)\/g)))**(-2\/13) assuming g is positive.\nAnswer: g**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 4*q - 6. Let f(m) = -m**2 - 4*m + 8. What is the remainder when k(5) is divided by f(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p - 5*q + q + 193 = 0, -92*p = -93*p - 13*q + 2 for p.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 9788311 or 88094794\/9?\nAnswer: 9788311","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -274705, -549413, -824121, -1098829?\n\"Answer: -274708*g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/27)\/((-3)\/(-7)) + 1\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/((12\/(-15))\/((-2)\/(-5)))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10638.\nAnswer: 2, 3, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*g**2 - g**4 + g**3 - 75*g**2 + 2*g + 73*g**2 to the form p + c*g + k*g**3 + l*g**4 + v*g**2 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17884?\nAnswer: 2, 17, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, 0.02, -0.4, -1.65, 26, -1?\nAnswer: -1.65","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 11859619, 23719248, 35578877, 47438506, 59298135, 71157764?\n\"Answer: 11859629*z - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 67801211 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 37*s - 71. What is q(11)?\nAnswer: 336","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -5*w - 12 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 18 + -18 - (2 + -1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(6 + 174\/(-27))*(-57 + 51)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2109710 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2ad2 + -ca?\nAnswer: -2b9c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 4*z = 52, -4*z - 78 = -5*g + 108. Let k = -728 + 758. Let r = g - k. Solve 0 = -4*l + 16 + r for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -2*k**2. Let t(q) = -102*q**2. Calculate u(t(i)).\nAnswer: -20808*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 32? (a) -0.9 (b) -4 (c) 1 (d) 29\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 819 + 421. What is the greatest common factor of u and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -62*b**2 + 53*b**2 - 105*b**2 + (0*b - 2*b + 0*b)*(1 - 1 - 2*b) to the form a*b**2 + l + d*b and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 128\/48 - 1\/6. Factor -1\/2*f**5 - 5\/2*f**4 - z*f - 1\/2 - 5*f**2 - 5*f**3.\nAnswer: -(f + 1)**5\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.46 and 0.01492?\nAnswer: -0.0068632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/((w\/(w\/(w*(w\/(w*w**(-4\/5))*w)\/w*w*w)))\/w)*w\/((w**5*w)\/w)*w*w**(-4\/3)*w\/(w\/(w*w**(1\/9))*w))\/((w**1)**(-18))**(-5\/19) assuming w is positive.\nAnswer: w**(-9199\/855)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (198\/8580*-13)\/(6\/5)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -24 (b) 19 (c) -0.02 (d) 20 (e) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 507\/78 + 7\/(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 130*j**3 - 6*j**2 - 31*j + 218. Is m(5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10396533?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 3*m - 7*m + 27 = 0, 0 = -4*x - 3*m - 61. Let t(u) = -u**3 - 13*u**2 + 5. Let w be t(x). Solve 2*y + 17 = -2*y + w*c, -5*c + 31 = 3*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 578.6707 nanometers?\nAnswer: 0.0000000005786707","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.3591251137 - 513.6408959863. Let u = 514 + y. What is u rounded to six decimal places?\nAnswer: -0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 28342?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 8*z**3. Let c(x) = x**2 - 7*x + 13. Let f be c(7). Let k(m) = 15*m**3 - m**2. Let y(t) = f*i(t) - 6*k(t). What is the third derivative of y(v) wrt v?\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5283000, 5283024, 5283048, 5283072?\nAnswer: 5283096","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, p: 2, a: 1, j: 7, g: 2, z: 1}. Give prob of picking 2 g and 1 p.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3270 to the power of 1\/2, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -y + 3 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-990)\/5148*12\/(-10).\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c = -23*v + 403 - 63, 0 = -2*v + 5*c - 2596 + 2601 for v.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00057014 to 5 decimal places.\nAnswer: -0.00057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 5, g: 2, y: 9}. What is prob of picking 1 h, 1 y, and 2 g?\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 - 8. Let r(l) = 5*l + 4. Let i be r(4). Let b = y + i. What are the prime factors of b?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0117 + 50.6.\nAnswer: 50.5883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(704) + sqrt(704)*-2 + -1 + -2 + (0 + sqrt(704) - sqrt(704)))*-3)**2*-1.\nAnswer: -6417 - 432*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 180232 is divided by 44575?\nAnswer: 1932","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 362842.1 nanograms?\nAnswer: 362.8421","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84*s = -11*s - 3252499 + 701222. What is the ten thousands digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4666*r + 4665*r - 1 - 1)*(24 + 26 + 30 + 2)*(-1 + 0 - 1) to y*r + k and give y.\nAnswer: 164","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -2*a - 2. Let w be l(5). Let s(g) = -g**2 - 13*g + 42. What is the remainder when s(w) is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -52392524*r. Let m(q) = -7*q. What is m(y(z))?\nAnswer: 366747668*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31 (base 4) to base 5.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s - 13 = -16*p - 6, -52*p + 106*p = 4*s + 57*p + 229 for s.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*k + 16*k + k**3 - 74*k**2 - 46*k + 0*k**3 + 18*k to a*k**3 + d*k**2 + o*k + u and give o.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**2 - 4*y + 3. Let j(i) = -148*i**2 + 147*i**2 + 71*i - 76*i + 4. Give -5*j(z) + 6*p(z).\nAnswer: -z**2 + z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuaauuauuuuuuuu. Give prob of sequence aau.\nAnswer: 13\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 229*q + 38*q**5 - 466*q + 241*q + (-2 + 2 + 2*q)*(-q**4 + 0 + 0).\nAnswer: 36*q**5 + 4*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**3 + 11*c**2 + 8*c + 9. Is y(-4) 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 1:50 AM and 6:00 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-21)\/(-10) - (-2)\/(-20). Let f(l) = -5*l - 16. Let n be f(-4). Solve s + n*s = r + 30, j*r + 25 = 3*s for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 63009?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - 3 - 2, 0 = 4*g - j - 13. Suppose 0 = -4*w + 12 - 0. Let h be (28 + -12 - 11)*1. Put g, h, w in descending order.\nAnswer: h, w, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10605*m**6 - 11*m**4 + 102040*m**2 wrt m.\nAnswer: -1272600*m**3 - 264*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1266654751 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the third derivative of c**5\/15 - 16*c**2. Let y(t) be the first derivative of t**2 + 2 - 1 - 3. Determine y(d(q)).\nAnswer: 8*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 94*u - 222. Let z be k(20). Let p = -513 - 304. Let s = z + p. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 4, t: 10}. What is prob of picking 2 g and 2 t?\nAnswer: 270\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 14*u - 4. Calculate w(2).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -4*x**3 - 18*x**2 - x - 2. What is n(-4)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -y + 5*n, 3*y + 2*n = -y + 16. Suppose -2*x - y*m + 100 = 0, 0*m = x + 5*m - 40. Does 15 divide x\/(-100) + (-396)\/(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 divided by 1976?\nAnswer: 3\/988","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 195 + -123. Let d(b) = 13*b**3 - 2*b**2 + b. Let y be d(1). What is the highest common factor of y and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 481 + -503 + (-2 - -2 - (-2 - 2)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 + 1. Let t = -106 - -110. Suppose -5*n - t*z = 0, 2*z = 3*n - z. Which is bigger: m or n?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**3\/13 + 76*a**2\/13 - 144*a\/13.\nAnswer: -2*a*(a - 36)*(a - 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-7) + 1182\/(-21). Let b = x - -12. Is (-4)\/1 - (b + -18) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4.27 - -4.0912. Let b = d + 0.178799149. What is b rounded to seven dps?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 162\/(-72)*1\/(-9)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 4*p - 3*p. What is the least common multiple of p and 5?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9469 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 457830.988 + -456619. Let o = -1208 + t. Let u = o - -0.012. Which is bigger: u or 0.1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 337 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -54818297 + -1?\nAnswer: -54818298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -576, -1585, -2594, -3603, -4612?\n\"Answer: -1009*n + 433","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the second derivative of -l**2 + 2*l + 0 + 2\/3*l**3. Differentiate y(q) with respect to q.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-800)\/(-60) + -15)\/(1 + 140\/(-147))?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t**2 - 95536*t + 7272288 = 0.\nAnswer: -47844, 76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8302003399\/30 + 276782660. Let f = -146636\/3 + g. Let k = -335 + f. What is the smallest value in 0.2, k, -0.2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 7*d**2. Let n(r) = 170*r**2 + 219*r**2 - 463*r**2. What is l(n(w))?\nAnswer: 38332*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 663478?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16056 and 7380.\nAnswer: 3291480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 32 = 62. Let p be (-4)\/w - 5769\/(-15). Calculate the highest common factor of 35 and p.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -62.6991 rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 297 and 1153053.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*c*f**3*j*t**2 - c*f**3*j*t - 364*c*f**3*t**2 + 417*c*f*t + 2*c*j + 8*f**3*t + 44*j*t**2 wrt t?\nAnswer: 4*c*f**3*j - 728*c*f**3 + 88*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/15? (a) -6 (b) 4 (c) 1.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 79, 5, -6.\nAnswer: -6, 5, 79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1674889?\nAnswer: 1674889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12993435 and 987.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n - 1. Let f(q) = -20*q - 8. Let h(m) = -2*f(m) + 14*t(m). Let a be h(-1). Let b = a - -88. Is b >= 36?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66) + (sqrt(66) - 4*(sqrt(66) + (-2*sqrt(66) - sqrt(66)))))\/(-2*sqrt(600)).\nAnswer: -sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 7787\/(-2396)*(-2)\/26*5\/4\nAnswer: 5\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -48505 > -48472?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4231*m - 4229*m + 8456*m.\nAnswer: -4*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.3 and -10278642.\nAnswer: -10278642.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*q**2 + 17*q**2 + 64*q**2 - 100*q**2 - 1217 to the form y + x*q**2 + k*q and give y.\nAnswer: -1217","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*z + 4*z - 6*z)*(-4*z**2 + z**2 - 4*z**2) + z**3 - 4*z**2 + 4*z**2.\nAnswer: -13*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the first derivative of -7*m**2\/2 - 3*m + 4. Suppose 0 = -2*c - 2*v + 4, -2*c + 0*c = v + 1. What is the tens digit of t(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -442 - 0?\nAnswer: -442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 1\/6 (b) -3 (c) -126 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 42442*a**2*y**2 - a**2 + 11072*a wrt y?\nAnswer: 84884*a**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) 0.06374987 (c) -1 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - 1491804575?\nAnswer: -1491804573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 325 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 1333391*f**2. Let u(h) = 2*h**2. Give u(n(a)).\nAnswer: 3555863117762*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -20*d**3 - 6092*d**2 + 2440*d = 0.\nAnswer: -305, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 2226?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 12*r**2. Let y(w) be the third derivative of w**8\/10080 - 7*w**5\/60 + 2*w**2. Let b(a) be the third derivative of y(a). Give b(i(c)).\nAnswer: 288*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 10004385?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19332 - 32041 - 37885 = -1234*t for t.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:27 AM and 7:50 AM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -507*l - 3\/4*l**3 - 39*l**2 + 0 = 0. Calculate l.\nAnswer: -26, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 61296018 divided by 20432006.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:05 PM and 1:24 AM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**3 + 12*c**2 + 14*c + 8. Let r be k(-11). Let b = r - -29. Let i be (b - (-2 - -8)) + (2 - 0). Which is smaller: i or 2\/19?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 97357, 97151, 96945, 96739?\n\"Answer: -206*d + 97563","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 264 - 1324\/5. Which is bigger: -1 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -5 - (63 + -70)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16687 - 7238. What is the highest common factor of n and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*u - 20*u + 5 = 0. Suppose p - 3*p - 4*t = 4, -3*p = 5*t + 5. Suppose -20 = -8*b + 3*b. Sort b, u, p in descending order.\nAnswer: b, u, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes before 12:11 PM?\nAnswer: 10:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*l + 63*l - 62*l = -172 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -33*n**3 - 13*n**2 - 35*n + 55. Let a(y) = -17*y**3 - 6*y**2 - 18*y + 33. Give 5*a(b) - 3*d(b).\nAnswer: 14*b**3 + 9*b**2 + 15*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 7*(1628\/(-308) + 8)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000005261632 to 7 dps.\nAnswer: 0.0000053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes after 10:01 PM?\nAnswer: 2:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 830 by -166.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (2 + 4) - -4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -2*l - 10846092 + 0*l + 10846092. Let f(a) = -6680*a**2. Give k(f(m)).\nAnswer: 13360*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the third derivative of 2254*a**5\/15 - 6103*a**3\/6 - 4741*a**2. Differentiate u(v) with respect to v.\nAnswer: 18032*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 82 and 2050?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(49))\/sqrt(7)*2)**2.\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 39*h**2\/7 + 58083*h\/7 + 17868\/7 = 0.\nAnswer: -1489, -4\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 42 = -82. Does 21 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8\/5, -102, 2\/15, 0, 1 in decreasing order.\nAnswer: 1, 2\/15, 0, -8\/5, -102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 0 = 10. Suppose 4*h + 8 = 5*o + 2*h, 20 = 3*o - s*h. Suppose o*l = -3*l + 51. List the prime factors of l.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -47*j**2 - 173*j - 7. Let t(f) = -150*f**2 - 518*f - 22. Let y(o) = -16*i(o) + 5*t(o). Let k(l) = -3*l. What is y(k(u))?\nAnswer: 18*u**2 - 534*u + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 28 and 8780366.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the first derivative of 7*c**5\/10 + 55*c**3\/6 - 41*c**2\/2 - 6. Let k(m) be the second derivative of b(m). Differentiate k(u) wrt u.\nAnswer: 84*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the third derivative of 7\/6*l**3 + 1\/6*l**4 - 3*l**2 + 0 + 0*l. What is the derivative of x(g) wrt g?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -166258 from -217544.5.\nAnswer: -51286.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/8, 0, 119, 44\/7?\nAnswer: 119","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the third derivative of 0 - 1\/60*d**5 - 3*d**2 + 0*d**4 + 0*d**3 + 0*d. Find c, given that b(c) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1685 divide 20102050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 108*b*k**3*m - 16*b*k**3 - b*k**2*m**2 - 2*b*k - 3*b - k**3*m**2 - 8*k**2*m**2 wrt k?\nAnswer: 648*b*m - 96*b - 6*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (7\/21)\/((-52)\/(-24) - 2). Solve -q + 5*i = 4*q - 10, -2*i + 12 = r*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6403 to the power of 1\/2, to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z + 10. Let n be l(-8). Find the third derivative of -3*c**5 + 3*c**5 - 3*c**6 - 4*c**n wrt c.\nAnswer: -360*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130*t + 603 = -133*t. Suppose 12*v + 1242 + 2322 = 0. Let z = t - v. Is 16 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(605) - (1 + sqrt(605)) - sqrt(605))**2*-4 + (sqrt(320)*2*-3 - sqrt(320))**2.\nAnswer: -88*sqrt(5) + 13256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 62 and -7.622?\nAnswer: 69.622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -3 (b) -0.3 (c) -3\/2 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 690884601?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -21 - (-159 - -143 - -55)\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9159)\/(-45795))\/(2\/(-340))?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -855 + 852. What is the closest to -0.1 in -2, k, 0.3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1\/3*d**4 + 0 + 8\/3*d**2 + 0*d - 7\/3*d**3 + 1\/12*d**5 = 0. Calculate d.\nAnswer: -8, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 3 - t + 4*t to the form r + j*t and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 2*u + 1. Let a(g) = -2*g - 2. Let f = -71 - -99. Calculate the remainder when f is divided by a(u).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 92783?\nAnswer: 31, 41, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2862615246 to the power of 1\/2, to the nearest integer?\nAnswer: 53503","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2819\/369 - 65\/123. What is the common denominator of w and -107\/20?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -131 (base 8) in base 3?\nAnswer: -10022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lul when three letters picked without replacement from {y: 7, r: 1, l: 4, u: 1}?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 439510865 is divided by 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 - (-4)\/(-8))*2. Let c be (-1 - y) + (0 - -3). Solve c = -2*d + 3*l, 0*l + 2*l = -4*d + 22 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 12*o - 88. Let n be b(7). What is the third smallest value in 1\/5, -48, -3, n?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 21 - 12. Let n = 11 - u. Let l(v) = -v**3 + 2*v**n + 0*v**2 + 0*v**2 + 0*v**3 + 2*v. Let y(t) = 5*t**3 - 11*t**2 - 11*t. What is -22*l(q) - 4*y(q)?\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35 divided by -1806065.\nAnswer: 7\/361213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 1249975766?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 308 is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -25 + 3 - -7?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -162547 from 960.\nAnswer: 163507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (873 - 1466 + 11 - 1881)*(0*a - 3*a + a) to the form b*a + u and give b.\nAnswer: 4926","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -u**2 + 5*u**2 + 41*u + 38*u - 77*u - 1 as i*u + a + w*u**2 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/(-114)*(-4)\/6?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5068 - 5061. Suppose g = 4*f + 8, -f + 5 = 2*f + 2*g. Sort f, 0, b.\nAnswer: f, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.33188 to 1 dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -4*t + 297 - 82, 125 = 2*t - w. What is the greatest common factor of 10380 and t?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes after 7:41 AM?\nAnswer: 5:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0\/1*(-10 + 11). Solve q = 2*w + 4*t + 2, 3*t + 0*t = -5*w - 12 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29786\/(-3372)*(-6)\/(-1)\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -67230542.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8.978 + -18.978. What is the third smallest value in -6, -2\/39, x?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 7*c = 2*l + 4, -4*c = -l. Let x be c\/((8 + -4)\/8). Put x, 0, 4 in increasing order.\nAnswer: x, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 459, 507, 555, 603, 651?\nAnswer: 699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -362, -322, -232, -74, 170, 518, 988?\n\"Answer: 3*a**3 + 7*a**2 - 2*a - 370","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -11 - -77774?\nAnswer: 77763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-12)*k\/k**(-15) assuming k is positive.\nAnswer: k**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4\/18)\/1 + (-160)\/72. Which is the nearest to -4? (a) -3 (b) o (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:19 AM and 11:09 PM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 o, 1 g, and 1 d when four letters picked without replacement from {h: 5, d: 1, o: 6, a: 3, g: 2}.\nAnswer: 9\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes after 8:45 AM?\nAnswer: 3:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 31 + 13 - 16*i**3 - 1 - 3 wrt i?\nAnswer: -48*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -3*o + 13, -392*h + 4 = 2*o - 397*h. Solve -5*p - o = -j, -115*p = -117*p - 4*j - 16 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 70959076?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 71\/5 of a microgram?\nAnswer: 14200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 41824 (base 9) to base 2\nAnswer: 110101111111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -14*n**3 - 1. Let l(f) = 4 - 3 + 4*f**3 + 5*f**3. Let w(i) = 5*j(i) + 8*l(i). Differentiate w(q) wrt q.\nAnswer: 6*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (8\/6 + -1)\/1. Let n = 12 + -12.7. Suppose -8*c = -32*c - 120. Put c, n, g in descending order.\nAnswer: g, n, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*i + 4*i - 5*i)*((2 + 2 - 5)*(3*i + 0*i - 2*i) - i + 0*i + 4*i - i + 7 - 3*i - 5) to h + d*i + x*i**2 and give d.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.558 * 192.\nAnswer: 491.136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -26, 1, -5, 78 in decreasing order.\nAnswer: 78, 4, 1, -5, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes after 10:11 PM?\nAnswer: 10:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 47264666 to the nearest integer?\nAnswer: 362","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the second derivative of -g**5\/50 - 3*g**4\/5 - 36*g**3\/5 - 216*g**2\/5 - 9*g. Factor w(z).\nAnswer: -2*(z + 6)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 22351 and 206?\nAnswer: 44702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4\/39 - -3\/13. Let g(v) be the first derivative of -5\/2*v**2 - 2*v - 3 - j*v**3. What is g(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7\/75 + 6\/25. Suppose -2*b = -0*b - 2*y - 16, -b + 2*y = -13. Let a be (-13)\/91*14\/(-4). What is the biggest value in b, i, a?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -7*r**3\/5 - 97*r**2\/5 + 14*r\/5 = 0. What is r?\nAnswer: -14, 0, 1\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -988\/5 - -197. Let w = 2.3177 + -2.8177. Which is the nearest to 2\/3? (a) d (b) -13 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*y + 8347616 = 8346741 for y.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 486 and 16281.\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 30099100 divided by -3\nAnswer: -30099100\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 7 = -3. What is the nearest to 1 in -0.1, 3, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2370.\nAnswer: 2, 3, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 659010595 to the power of 1\/4, to the nearest integer?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d**4 - d + d + (55*d**2 - 133*d**2 - 63*d**2)*(0*d**2 + d**2 + 0*d**2))*(2 - d - 2).\nAnswer: 143*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 25*b**2 - 4*b. Let v(j) = 399*j**2 - 63*j. Let d(r) = -63*s(r) + 4*v(r). Is d(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2415*l**2 - 11125*l wrt l?\nAnswer: 4830","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (12\/18)\/((-1)\/(-5) + (-1826)\/9405) and 27?\nAnswer: 1026","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and 521810.\nAnswer: -1565430","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((918\/(-60))\/17)\/(216\/(-150))\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -125862 + 167779 - 797887 = -30*y. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 200 + -218. Let r = 20 + o. Find x, given that -6\/7*x**3 - 12\/7*x - 12\/7 + 3*x**r = 0.\nAnswer: -1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 2*k**2 - 17*k. Let t be v(8). Which is the second smallest value? (a) -4 (b) -5 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 214 and 321.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 14\/((-45)\/(-126)*2\/5). Calculate the greatest common factor of b and 70.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -6*k - 33. Let o be s(-6). Solve -j - 4*r + 15 = o, 4*j + 15 = 5*r for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -21*f. Let h(k) = -2*k - 18. What is g(h(m))?\nAnswer: 42*m + 378","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -5*n - 110. What is q(-22)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -133, -70, -1, 74, 155, 242, 335?\n\"Answer: 3*c**2 + 54*c - 190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 30 = 4*g, 223*g - 115 + 145 = -2*z + 445*g - 219*g for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 2, -3, 0.\nAnswer: -3, 0, 2, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y + 4. Let p be b(4). Suppose p = 5*j - 0*o + 3*o, -3*j - 6 = 3*o. Let u(v) = -4*v**3 - 1 - 6 + 3*v**j + 6*v**2 - 4*v. Give u(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 1)*(3*d**2 + 5 + 8 - 2*d**2).\nAnswer: d**2 + 13","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (800\/24)\/((-2)\/9). Suppose 0 = -4*x - 65 - 163. Let z = x - s. What are the prime factors of z?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 35.36213 decades?\nAnswer: 0.3536213","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**3 - 4*l**2 + 2*l - 1. Let w(b) = -b - 1. Let d be w(-4). Determine f(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -40*u**2 - 15*u - 15. Suppose r = 4*c - 4, 2*r - 3*c = 12 - 20. Let d(t) = -10*t**2 - 4*t - 4. Determine r*g(a) + 15*d(a).\nAnswer: 10*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*x - 10*x + 8*x + 3*x + 0*x - x + 0 + 0 - 2*x + (3 - 2 + 1)*(4*x + 0*x - 2*x) + 0 + 0 - x + 5*x - 5*x + x - 2*x + 0*x + 0*x)*(6 - 4 - 3).\nAnswer: 10*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*c + 25500 = 20*c. Let a = -107164\/21 + c. Find the common denominator of a and (642\/(-8))\/(81\/(-6)).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/10346657 bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2404796 divided by -4\nAnswer: -601199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 83 - 98 - (-1 + -28 + -7).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m + 3*m + 0*m)*(2 - 2 - 2*m) + 3*m + m**2 - m + 0*m**2.\nAnswer: -3*m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -125 divided by 30.\nAnswer: -25\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 732417, 732416, 732415, 732414, 732413?\n\"Answer: -a + 732418","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s = -o - 3, -3*s - 5*o = 310 - 312 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-10)*((-7626)\/248 - -22).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 44 + 8. What is the remainder when o is divided by 4 + (-7)\/(14\/(-6))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -36*p*u**2 + 2*u**2 - 4 with respect to p.\nAnswer: -36*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 2*o + 6. Let h be l(-4). Let s be -2 - (-4)\/h*1. Let j be 28\/(-3) + (-57 - -61). Which is bigger: s or j?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 2*r + 40 = 0, -2*j - 3*r = -4 - 1. Suppose -226 + j = -2*q. What is the second derivative of -q + 108 - l + 3*l**2 wrt l?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 671 is divided by 52.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 108 and 1818.\nAnswer: 10908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1451, 3183, 4915, 6647, 8379, 10111?\nAnswer: 11843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -11*w**3 - 40*w**2 - 372*w + 32. What is the hundreds digit of s(-14)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jk when two letters picked without replacement from kkeeaekekje?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the second derivative of 0 - 5*q - 53\/2*q**2 + 0*q**3 + 0*q**4 + 3*q**5. Find the first derivative of r(y) wrt y.\nAnswer: 180*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeiiiiiieieiii. Give prob of picking 2 e and 1 i.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 3\/1343503?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 87 - 7. Let k = -4 - -4. Let d be (-15)\/9*(-3 + k). Calculate the greatest common factor of d and v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11100110011 + -100010110010?\nAnswer: -101111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - 2*n - 82, 4*c - 3*n + 20 = 5*c. Is 24 less than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1c3a (base 13) in base 16?\nAnswer: -10b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.9 - 2.2. Which is the third smallest value? (a) -0.5 (b) d (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -42000 to the nearest one thousand.\nAnswer: -42000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20*d - 18 - 12*d + 11 to k + r*d and give r.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.16 - -0.56. Let r(y) = -2*y**3 + 71*y**2 - 35*y. Let a be r(35). Let i = 0.3 + -0.3. What is the closest to a in z, -4, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2566786?\nAnswer: 2, 19, 67547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-36)\/(-36)*(-1)\/(-7)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 8*k = 10. What is the second derivative of 8*i**2 - i**k + 10*i - 7*i**2 + 11*i**3 wrt i?\nAnswer: 66*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - 14. Let b = 10 + o. Let y = -4\/41 + 94\/123. What is the nearest to -1\/5 in 3\/4, y, b?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 855 = c + 4*c. Suppose 0 = 4*h - c - 21. What is the units digit of (-2)\/6 - h\/(-9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(95)*-3 - sqrt(95))*-3 + sqrt(95))\/sqrt(5))**2.\nAnswer: 3211","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/25? (a) 2\/149 (b) -1\/5 (c) 5 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 769541 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1296004900?\nAnswer: 2, 5, 1237, 10477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2*(-8 + 3)*(-3)\/15. Put c, 0, 4 in increasing order.\nAnswer: c, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 7 and 22.\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/50 of a milligram?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 52496 a multiple of 185?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the first derivative of 7*i**4\/16 - 13*i**3 - 117*i**2\/8 + 23*i\/2 + 39. Factor d(p).\nAnswer: (p - 23)*(p + 1)*(7*p - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) -3 (b) 0.2 (c) 1\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4075177, 4075182, 4075189, 4075198, 4075209, 4075222?\nAnswer: 4075237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -613057\/636020 - -3\/11564. What is the common denominator of 27\/44 and a?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21266?\nAnswer: 2, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 110796 is divided by 5821.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes after 3:22 AM?\nAnswer: 10:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.1 - 7.5. Let z = w + 10.6. Let i = 11 - 11.1. Sort z, i, 1 in descending order.\nAnswer: z, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13.1456 - 11.84. Let u = 1.3 - t. Round u to 3 dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 11 + (-14508)\/(520\/(-20)). Solve -579*x + 80 = -i*x for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, z: 5}. Give prob of picking 3 z.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*x + 20 = 49*x. Let o be (3\/6)\/(3\/24). Solve x*s - s = -o*r - 7, 0 = 5*r - 5*s - 35 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 185\/74*(-6)\/9?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 135385 is divided by 45047.\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in thirty-one fifths of a centimeter?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2\/11, 0.39, -0.5, -49 in ascending order.\nAnswer: -49, -0.5, 2\/11, 0.39, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99*i - 76 + 472 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-6864)\/64)\/13 + 9. Let g(a) be the second derivative of 3\/40*a**5 - 21*a + d*a**4 + 6*a**2 + 3*a**3 + 0. Factor g(m).\nAnswer: 3*(m + 2)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -216 + 1756. Suppose c = -212*i + 217*i. List the prime factors of i.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 876*f - 4087*f - 10325*f + 496*f + 1142*f.\nAnswer: -11898*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 1 (b) -925 (c) 1\/2 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the third derivative of g**6\/120 - 43*g**5\/60 - 146*g**3 + 59*g**2 - 3. What is the derivative of d(v) wrt v?\nAnswer: 3*v**2 - 86*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 4, z: 2, s: 2, j: 2, e: 3, p: 1}. Give prob of sequence jpss.\nAnswer: 1\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the first derivative of -2*t**7\/7 - 10*t**3\/3 + 9. What is the third derivative of b(m) wrt m?\nAnswer: -240*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -7*k**3 - 5*k**2 + 3*k + 4. Let t(r) = -8*r**3 - 6*r**2 + 4*r + 5. Let q(o) = o + 16. Let m be q(-11). Give m*t(v) - 6*w(v).\nAnswer: 2*v**3 + 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1*(-20)\/(-4) - (-1)\/1. Let j(h) = -h - 5. Let v be j(0). Sort v, -3, b in decreasing order.\nAnswer: -3, b, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -615104 + 256014. Round g to the nearest one hundred thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, g: 3, n: 4}. Give prob of sequence nnnr.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 171 = 4*b + g - 4*g, -5*g + 170 = 5*b. Let c = 18273 - 18263. Calculate the remainder when b is divided by c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1703045379?\nAnswer: 3, 7, 1499, 54101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (72*h + 8 - 145*h + 6*h**2 + 71*h)*(6*h - 4*h + h).\nAnswer: 18*h**3 - 6*h**2 + 24*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 69 - -104. Suppose 0 = 2*h - h - z. Suppose 1309 = 8*a + h. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 - -5. Let a(q) = -5*q + 7 - 9 - q + 0*q - 9*q. List the prime factors of a(b).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1818, -4327, -6806, -9255, -11674, -14063, -16422?\nAnswer: -18751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3283825 to the nearest integer?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 - -1323?\nAnswer: 1330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j**2 + 4*j**2 - j**2)*(-2*j - 1 + 1) + 3*j**3 + 2*j**3 - 3*j**3 + (-1 - 2*j**2 + 1)*(-6*j + j + 3*j) + 0*j**3 + j**3 - 4*j**3.\nAnswer: -5*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1728*n*q**3 + 2*n*q**2 - 6*n*q*r - 2*q**3*r - 2*q**2*r - 6*q**2 + q*r wrt q.\nAnswer: -10368*n - 12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 594214 to the power of 1\/2, to the nearest integer?\nAnswer: 771","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*n - 4*n + 4104 = 0. Which is smaller: 213 or n?\nAnswer: 213","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(5) + 2 + sqrt(5))**2 - (-3 + sqrt(5) + sqrt(45))) + 3.\nAnswer: -114 - 44*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + 1)*(-y**2 + 2*y**2 - 2*y**2)*(-14 + 13*y + 14).\nAnswer: -13*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -107\/26 - -60\/13. Factor -b*h**2 + 0 + 1\/2*h.\nAnswer: -h*(h - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 240861049, 481722096, 722583143, 963444190?\n\"Answer: 240861047*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t\/(t*t*t*t**(2\/21)))\/t)\/((t**(4\/15)*t)\/t))\/(t*t**2*t*t)**(-45) assuming t is positive.\nAnswer: t**(23377\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -0*t - 4. Suppose t*w - v - 18 = 2*w, -v = -w + 9. Is w a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -2*m**3 - m + 2. Let u be j(1). Find the common denominator of -83\/16 and (16\/(-704))\/(u\/(73*2)).\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58388 to the power of 1\/2, to the nearest integer?\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*u + 71*u - 421 = -183 + 383 for u.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 4, l: 2, c: 6, n: 1, a: 3}. Give prob of sequence lan.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1211 + -23021?\nAnswer: -30232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (24*o**3 + 7*o**3 - 10*o**3)*(-11 + 3*o + 11)*(-4 + 2 - 20) in the form s + i*o + p*o**4 + k*o**2 + x*o**3 and give p.\nAnswer: -1386","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 - -6. Suppose -2*i = -m - q, 0*m + 5 = -5*m + 5*i. Find the second derivative of 2*n - 2*n + 3*n - n**m wrt n.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 132 = -4*o. Let j = -15 + o. Let v = j - 29. Is v a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20 - 6. Let i = 1 - -5. Is i\/7*t\/2 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -20 + 14. Let f = 18 + u. Let m = f - 9. What is the highest common factor of m and 27?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -73 - -228. List the prime factors of z.\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 33 - 37?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6315)\/40*(-2)\/(-177). Let b = d - -2\/59. Find the common denominator of b and (-17595)\/(-4920) - (-10)\/205.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-72)\/(-28) + 12\/28. Solve -m*l = -5 - 7 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/(8\/18) - (22 + -15 - 14). Let r(y) = 2*y**2 - 33*y + 39. Give r(n).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2987146 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1510 is divided by 353.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -5*h**2 + 5*h + 2. Let s(g) = -2*g**2 + 2*g + 1. Let l(n) = 3*k(n) - 8*s(n). Let z be l(-4). Solve 2*v + 2*a + z = 0, -4*v + 4 + 0 = -4*a for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - n + 38 = 10, 4*r - 40 = -4*n. Calculate the remainder when r is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 18 - 13 + 15*i**2 + 5*i**3 - 11 - 14 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*q = 6*q - 3*a + 12048, 4*a = -2*q + 8042. What is the hundreds digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 66376165 and 85.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27 - 251 + j - 8.\nAnswer: j - 286","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7014, 14028, 21032, 28020, 34986, 41924?\nAnswer: 48828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13 - 7*w - 15 + 10*w to the form x*w + b and give b.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in seventy-one quarters of a microsecond?\nAnswer: 17750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, f: 1, m: 7, z: 2, d: 5}. Give prob of sequence zdz.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 145043?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 42471103 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oou when three letters picked without replacement from {u: 8, o: 2}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1404 and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 + -5. Let v = t + 1. List the prime factors of v*5 - (4 - 3).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ghhk when four letters picked without replacement from xyyghykhygkhygyk?\nAnswer: 9\/7280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -189*a**2 + 549*a**2 - 186*a**2 - 183*a**2 - 11 in the form x + y*a**2 + c*a and give x.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**3 - 5*h**2 + 3*h + 4. Let i be d(4). Suppose -2*f + 40 = -i*f. Calculate the remainder when f is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -124306016.702000578 - -124306862.702. Let r = 846 - h. What is r rounded to 7 dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s - 5. Let m be n(9). What is the second derivative of -i**2 - i**2 - 3*i**2 + 3*i - m*i wrt i?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0169176711 rounded to 3 dps?\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/63384 and -1\/336.\nAnswer: 887376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 52\/5 of a litre in millilitres?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 463559 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1450.76 - 1275. What is y rounded to the nearest ten?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-8)*(-84)\/(-105)*(-2)\/(-1).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -143\/18 and -67\/114.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 86327 a multiple of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 30.27582 months?\nAnswer: 0.2522985","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21*k - 9*k - 116*k)*(3*k - 6*k + 4*k).\nAnswer: -104*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 - 11)*(-8)\/(-4). Let y(v) = 10 + 2*v - 3*v + 1 + 0*v. Is y(l) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 2*p + 106 = 0. Let i = 49 + p. What is the remainder when 14 is divided by i + 7 + 0 - -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:46 PM and 12:19 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 688 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/9 in 1.5, 0.5, 9, 815, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 380 = 14*t - 48494. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - ((0 - (2 + -4)) + 3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 7\/107, 3 in descending order.\nAnswer: 3, 7\/107, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10\/7 in 3\/5, 0.5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5.42 + -9.42. Which is the third smallest value? (a) 1 (b) 3 (c) l (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50 + -3 + -24 + 20.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -16 + -1?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-6) - 65\/15. Let t be (-8)\/i + 664\/(-2). Round t to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15087 (base 12) in base 13?\nAnswer: 10558","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 20 = -2*s, 4*s = 4*m - 32. Let l(r) = -m*r - 7*r**2 + 8*r**2 - r - 2*r. Suppose t = -4*y - 3*t + 36, -t - 21 = -5*y. Give l(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 249 a factor of 105576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12495 is divided by 6242.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -37067\/2 + 18536. Let h(p) be the first derivative of -n*p**2 + 2*p - 32. Determine h(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 z, 1 t, and 1 q when four letters picked without replacement from {z: 2, f: 4, w: 2, q: 1, t: 1}?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 145\/1752 and 161\/25920?\nAnswer: 1892160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -123*c - 1482. What is the units digit of u(-43)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 + -34231?\nAnswer: -34222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a16 (base 16) to base 5.\nAnswer: -40312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 - ((25 - 83) + 21).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/(-4))\/((-45)\/(-24) + -2). Suppose 23*l + 32 = 9. Let s be (2\/(0 - -1))\/2. Sort r, s, l in descending order.\nAnswer: s, l, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10033530 divided by 2006706?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.6 != -0.41?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*m**2 - 2*m**2 + m**2)*(5*m + 2*m**3 - 5*m) + 0*m**5 + m**5 - 2*m**3 + 2*m**5.\nAnswer: 17*m**5 - 2*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 30143*j + 1. Let g(l) = l**2. Calculate g(d(p)).\nAnswer: 908600449*p**2 + 60286*p + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 165 and 286?\nAnswer: 4290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, c: 7}. Give prob of sequence caaa.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k + 10. Let u be b(-5). Suppose 0*h + 23 = 2*h - u*m, -h - 3*m = -6. Find the third derivative of -h*i**5 - 20*i**2 + 30*i**2 - 2*i**5 wrt i.\nAnswer: -660*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -63, 24, -1.314?\nAnswer: -63","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**3\/3 - 2198*m**2\/3 - 17536*m\/3 - 11680.\nAnswer: -(m + 4)**2*(m + 2190)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 130\/195 - 470\/(-6). Let a(n) = -k*n**2 - 7*n + 7*n + 77*n**2. Let r(g) = -3*g + 45. Let z(t) = -t + 22. Let p(b) = -3*r(b) + 7*z(b). Calculate a(p(q)).\nAnswer: -8*q**2 - 152*q - 722","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.15, 2\/9, 0.5, 0.52, -5 in decreasing order.\nAnswer: 0.52, 0.5, 2\/9, -0.15, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 10*b**3 - 2*b**2 - 269*b - 13. Give j(-5).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j + j + 2*j)*(-2*j**3 - j**3 + 2*j**3) + (12*j - 6*j - 1 + 3)*(0*j**3 + j**3 - 2*j**3).\nAnswer: -11*j**4 - 2*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the third derivative of -v**6\/120 - v**5\/10 + 2*v**3\/3 + 2*v**2. Let t be 8\/(-12)*(2 - -7). Calculate w(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 + 4\/(-6) + -1*2958\/(-9). What is the highest common divisor of 41 and g?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.017 * 0.08499.\nAnswer: 0.00144483","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 127365 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 48140 by 9628.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1999 + -1997. What is the lowest common multiple of -11*(-1 - -2 - 2) and p?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 11*w**3 - 19*w**2 + 60*w + 20. What are the prime factors of f(7)?\nAnswer: 2, 3, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 362 is divided by 185?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -37 - (-78 + 140 + 2)\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -5, -4, -36, -3, -80 in decreasing order.\nAnswer: 6, -3, -4, -5, -36, -80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -s - 2*t + 268, s - 268 = 2*t. Suppose 5*j + s = 7*j. Suppose 9*z = 7*z + j. Is 16 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**3 - 4*s**2 - 15*s + 54. Let t be j(5). Solve -4*a - u = 0, 0 = -4*a - 3*u - 4 - t for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 0*z - 4*q = 181, -5*z + 5*q = -185. Calculate the remainder when z is divided by 19.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 184 + -130. Let q = -20 + c. Is q a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 554101?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -3411, -6760, -10125, -13506, -16903?\n\"Answer: -8*r**2 - 3325*r - 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y*y**8*y)\/(y*y*y*y**(-16)))\/(y**(-2)*y*y**9\/y*y) assuming y is positive.\nAnswer: y**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) 0.1 (c) -1 (d) -0.4 (e) 4417537\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 - 1 + 2)*(4 - 2*c - 4) - 8*c - c + 0*c + (5*c + 2*c - 4*c)*(6 + 7 - 3) - c + c - 2*c as j*c + t and give j.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 617 is divided by 186.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_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: (-1 - -2)\/((-1)\/2)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p = -y - 79, 3*y + 42005*p - 42002*p + 117 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 1 b when three letters picked without replacement from ezeeeczbcezeeezzwe.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16 - 0) + (33 - 20 - 20).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 779 and 247?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2265?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1523033 - -24061?\nAnswer: 1550124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 85919 and 63064546?\nAnswer: 63064546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*h**5 + 5*h**3 - 5*h**3 + (-3*h**2 + 3*h**2 - 2*h**3)*(4*h**2 - 6*h**2 + 3*h**2).\nAnswer: -5*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (10*j + 0*j + 0*j)*(4 + 1 - 3)*(-j - 12*j**3 + j) in the form d*j + v + i*j**3 + l*j**2 + y*j**4 and give y.\nAnswer: -240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -3*r**3 - 9*r**2 + 2. Let l be a(-3). Solve 0 = -5*n + 8 + l for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55\/1*(20\/(-24))\/(-5)*4902\/4085?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*l - 51*l = n - 12062, 0 = -5*n - 5*l + 60310. What are the prime factors of n?\nAnswer: 2, 37, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -4*h**4 + 96*h**3 + 980*h**2 - 3552*h + 2480 = 0.\nAnswer: -10, 1, 2, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 - -8. Let b(t) = -5*t**3 + t**2 + 2*t - 3. Let x(o) = 4*o**3 - o**2 - o + 2. Let y(u) = 3*b(u) + 4*x(u). Give y(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, -2\/13, 15\/142?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-21430)\/374 - 156\/(-1326)) + 6\/33?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 245235?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1409.6 and -36.647942?\nAnswer: 1446.247942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 2*o = -0*o + 479, m - 3*o - 167 = 0. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 843433 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2027013 divided by 69897.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 3*p - 7*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 9 = -3*l + 2*s, 3*s - 3 = -l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -a*l*r**3 + 9235*a*l*r**2 + 18*a*l - 2*a*r**3 - a*r + 7*a + l wrt r?\nAnswer: -6*a*l*r + 18470*a*l - 12*a*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -6751 + 1556?\nAnswer: -5173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 - 0.05013?\nAnswer: -0.55013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1516*j + 1529*j + 2 + 1623*j - 4086*j.\nAnswer: 582*j + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k - 1. Let n be r(5). Suppose -5*a + 12 = -28. Let q = n + a. Solve x = -0*x - q for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 127\/78 and 119\/78?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -770*a**4 - a + 138 wrt a?\nAnswer: -9240*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 164*a**2 - 1453*a - 72. Determine j(9).\nAnswer: 135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -33213, -33212, -33213, -33216?\n\"Answer: -w**2 + 4*w - 33216","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 201 a factor of 99093?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence skmk when four letters picked without replacement from {s: 2, m: 4, k: 5, o: 4}.\nAnswer: 4\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1 - 1 - 6*x + 76*x - 315*x**3 + 3 - x wrt x.\nAnswer: -1890*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x**2\/6 + 80*x\/3 - 155\/6 = 0. Calculate x.\nAnswer: 1, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -87.4 - -87.6. Let i be (0 - 9\/6) + 2. What is the nearest to 0.1 in l, 2, i, -3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10100110110001000111010 + -11000?\nAnswer: -10100110110001001010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 257121.6kg to nanograms.\nAnswer: 257121600000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 15\/((-30)\/(-8)) + 3. Let i(p) = p**3 + 2*p**2 + 3. Let j(a) = 3*a**3 + 4*a**2 + 7. Calculate m*i(k) - 3*j(k).\nAnswer: -2*k**3 + 2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13 - 13.47. Let y = -0.39 - g. Round y to 1 decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -214 and -0.43991.\nAnswer: 94.14074","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 6791648 to the power of 1\/2, to the nearest integer?\nAnswer: 2606","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 14*f**2 - 196*f + 150. Calculate the remainder when y(58) is divided by 52.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 242 = -4*t + 306. What is the remainder when 55 is divided by t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -3*t. Let y(c) = -8559*c - 3036. Give m(y(f)).\nAnswer: 25677*f + 9108","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -76*h**3 - 59*h**3 - 97*h**3 + h**2 - h**2 + 189*h**3.\nAnswer: -43*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -10*s + 1. Let n(f) = 5*f. Give 2*d(i) + 5*n(i).\nAnswer: 5*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 30*a**2 + 18*a + 15. Let b(w) = w**2 + w + 1. Let m(k) = 15*b(k) - z(k). Let l(f) = -31*f**2 - 7*f + 1. Give 2*l(x) - 5*m(x).\nAnswer: 13*x**2 + x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, 130, -0.5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-9977 - 1)\/(1\/(-2)). Suppose 3*s + 2634 - i = 0. Let t = -69227\/12 + s. Calculate the common denominator of t and 85\/22.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of -1*(-44)\/(-8)*-6 and 3.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 847044?\nAnswer: 2, 3, 11, 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24406 is divided by 8109.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 129 + (-31 + 43 - 144).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5\/((-15)\/(-9)) + -1 + 3. Suppose 0 = 4*a - 3*x - 312, 3*a + a = l*x + 304. Does 27 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 436197 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11180 and 10105.\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n - 3*n + 610. Suppose -2*b + 8 + n = 0. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 w when four letters picked without replacement from wwonwwwww?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the third derivative of 7*f**5\/60 - f**4\/24 + f**3\/3 + f**2. Let p(i) = 1 + 10*i + i**2 + 2*i**2 - 10*i. Calculate 5*p(j) - 2*t(j).\nAnswer: j**2 + 2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 107 = 5*g - 4*x, -3*x + 86 = g + 4*g. Determine l, given that 23*l**2 + 4 - 7*l - g*l**2 - l + 0*l = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2321302 - 2?\nAnswer: 2321300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -4*z + 141, 3*z - 4*u = 64 + 41. Calculate the lowest common multiple of z and 9.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/8*5*-4. Let h be (-62)\/(-18) + 204\/(-459). Solve 4*z + h*a + 33 = 10, 5 = i*z - 3*a for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least -597?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f*(f\/(f*f\/f**(3\/5)*f)*f)\/f*(f\/f**(-2\/9))\/f*f*(f*f\/f**(1\/4))\/(f*f**2)*(f**(-1\/3)\/f*f*f)**(-46)\/(f**5*f*f\/(f*f*f**(2\/3)*f)) assuming f is positive.\nAnswer: f**(-6017\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes after 6:12 AM?\nAnswer: 3:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -521 + 539 = 6*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 9}. What is prob of picking 3 f?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 929120 and 240?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6012906454 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16436 and 48901209?\nAnswer: 4109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.14? (a) 1 (b) -2\/5 (c) -8.2 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 547 divide 3114698?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 4 = 4*w, -234*a + 4 = -5*w - 238*a. Suppose 0*x = -x. Suppose -3*u + 5 + 1 = x. Solve -u*r + 3*r - 2 = w for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3851725 != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**2 + 3*n + 12. Let d be i(-3). Let a(k) = k + 12. Calculate a(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 6215\/12 and 517 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4570 (base 8) to base 10.\nAnswer: 2424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*t - 19 - 36 - 38 + 4*t - 5*t + 111.\nAnswer: -t + 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 - (9 + -22 + 5).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12357?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1301825 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -60 + 439. Suppose t = 2*c + 31. What are the prime factors of c?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 17287792?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/3 or 1.2079?\nAnswer: 1.2079","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 5*l + 1410 = 0, -l - 283 = o + 9. Let g = 170 - o. What is the hundreds digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*t + 982 = -24*t - 696 + 378 for t.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**2 - 2*g + 3. What is x(-4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 8 = w + w, 2*w = -2 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 + (-5 - 5) + -7 - 3?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1124 - -1124. Which is greater: x or 1\/3728?\nAnswer: 1\/3728","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4030 = 38*v - 3688 for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 508.\nAnswer: -1\/254","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.7213 to zero decimal places.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1*-2*(-2)\/8. Let o(x) = 11*x**3 + 55*x**2 + 40*x + 202. Let s be o(-5). Find g such that 3\/4 + v*g - 1\/4*g**s = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90742 is divided by 6027.\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 - 5*f**2 - 3*f - 6. Let u be k(-5). Suppose u*a - 20 = 7*a. List the prime factors of a.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z**2\/3 - 212660*z\/3 + 2261213780\/3 = 0. Calculate z.\nAnswer: 21266","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 388 and 414772?\nAnswer: 388","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 141 divide 9827982?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34358, -34391, -34446, -34523?\nAnswer: -34622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9\/4*x**2 + 1\/4*x**3 + 1\/2 + 3\/4*x + 3\/4*x**4.\nAnswer: (x - 1)**2*(x + 2)*(3*x + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -214, -216, -220, -226, -234, -244, -256?\n\"Answer: -t**2 + t - 214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**3 + 3*l**2 - 18*l - 3. Let u be z(-5). Let k = 37 - u. Is -10\/11 > k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, v: 18}. What is prob of sequence ava?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 12 + 3 + -46 + -2 + -4 + 10?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -2*i**2 + 13*i - 3. Let q be x(6). Suppose -q*v = -2*v - 71. Is v a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10063.\nAnswer: 29, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(891) + (sqrt(891) + 2)*4 + 0 + -3 + sqrt(891) - (-2 + (5*(sqrt(891) + -1) - (1 + sqrt(891))*3))).\nAnswer: -108*sqrt(11) - 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/1249352 and 25\/216234?\nAnswer: 11244168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 44\/5 of a milligram?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2*((-15)\/(-10) - (17 + -17)). What is the smallest value in -1\/13, -21, l, -1?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes after 11:51 PM?\nAnswer: 9:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -366, -602, -748, -792, -722, -526?\nAnswer: -192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -9494938 times -3\nAnswer: 28484814","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 28 + 2*j - 28. Let w(p) = -11*p**2. Let q(r) = 17*r**3 - r - 1. Let u be q(-1). Let k(n) = -4*n**2. Let v(z) = u*k(z) + 6*w(z). Calculate t(v(h)).\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 2*f - 3. Let p be g(2). Let j(u) = 7*u**3 + 2*u**2 - 2*u + 1. Let i be j(1). Let w = p + i. What are the prime factors of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbbqbbbbbbbq. Give prob of picking 2 b and 1 q.\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -116 = 8*k - 12*k. Suppose 4 = -25*g + k*g. Is (-3)\/(-2 - g) - -3072 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1914.\nAnswer: 2, 3, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 815430 divided by -19415.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__div_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: Simplify ((n**(-3))**(-16))**(-29) assuming n is positive.\nAnswer: n**(-1392)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or -2702?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27106772 divided by 2618.\nAnswer: -10354","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 - 3. Let g(f) = -4 + 6 + f - y. Let i(z) = -3*z. Calculate i(g(h)).\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -5*d - 3. Suppose 5*q - 3*q - 82 = 0. What is the remainder when q is divided by ((-28)\/d)\/((-8)\/(-12))?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1806336?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-2\/21)\/(h**(-3\/13)*h)*(h**(-41)\/h*h*h)\/(h*h*h*h**26) assuming h is positive.\nAnswer: h**(-19073\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 130322 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 4*k - 8. Determine r(-10).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3\/11)\/(6\/(-4)). Let n = 2 + -1. Let q = 1 - 1. Which is the closest to -1? (a) u (b) q (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 1, 129, -4, 0.6?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.2 and -462761664525.\nAnswer: -462761664525.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 93550867 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 106745011 to the power of 1\/7, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 9*d = -6*d - 17, 0 = -t + d - 1. Solve -t*h = 4*z + 12, 4*h - h + 5*z + 17 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b**5 - 94*b**4 + 531*b**3 - 254*b**2 - 880*b = 0.\nAnswer: -1, 0, 2, 5, 88","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11776504.\nAnswer: 2, 19, 77477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*w - 41*w = 94*w + 71*w - 20160 for w.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 35586?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k*k*k**(-1\/57)\/k)\/((k\/(k*k**(-2\/9)*k))\/k) assuming k is positive.\nAnswer: k**(643\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 5*d = -10, 3*d - 3 = -4*o + 3. Let c = o - -2. Suppose 3*w + 6 = -3*u, c*u - 12 = 6*u. What is the highest common factor of w and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*j**3 - 2*j**3 - 5*j**3)*(-3 + 2 - 2)*(-2*j + 4*j - 3*j) in the form q*j**3 + z*j + u*j**2 + o + m*j**4 and give m.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 15*q + 616. Let s be x(-22). What is the highest common factor of 78 and s?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12352?\nAnswer: 2, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the second derivative of v**7\/126 + 11*v**6\/45 + 41*v**5\/60 + 5*v**4\/9 - 74*v - 2. Factor n(g).\nAnswer: g**2*(g + 1)**2*(g + 20)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 237 - -708. What are the prime factors of t?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 346, 637, 870, 1039, 1138, 1161, 1102, 955?\nAnswer: 714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/6 - 20\/(-15). Let v(q) = 2*q + 1. Let x be v(d). Solve 3*y - 8*y = 5*n, -2*y = x*n - 9 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -32, -42, -52?\n\"Answer: -10*w - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 - 9*i**2 - 2*i + 8. Let z be s(-9). Suppose -a + z = -19. Calculate the remainder when a is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16.089*-5089.\nAnswer: -81876.921","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - (-28 + 11)) + -9 + -2 + (2 - 18).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 44164, 176387, 396758, 705277, 1101944, 1586759?\n\"Answer: 44074*q**2 + q + 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 107, 683, 1725, 3299, 5471, 8307, 11873?\nAnswer: 16235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l - 4. Let m be k(-4). Suppose 4*f - w = -m*f + 21, 19 = f - 3*w. Let i = 1 - -3. Calculate the greatest common divisor of f and i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the second derivative of p**4\/12 - 3*p**3\/2 + 9*p**2 + 2*p - 36. Determine j so that y(j) = 0.\nAnswer: 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14 + 18 - 19)*(2*y + y - y + (-2*y - 2*y + 2*y)*(0 - 4 + 2) + 3 + y - 3 + 2 + 2*y - 2).\nAnswer: -135*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, b: 2, q: 1, o: 5, k: 1, r: 4}. What is prob of sequence obbk?\nAnswer: 1\/3276","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 623 - 101. Calculate the highest common divisor of 58 and s.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 184579\/15 - 12310. What is the common denominator of v and -18\/95?\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9*f**3*g**3*i**3*w + f**3*g**2*w**2 - 81*f**3*i*w**2 + 14518*f*g**3*w**2 + 16*f*g*i**2*w**2 - 3*g*i**3 wrt g?\nAnswer: 54*f**3*i**3*w + 87108*f*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001801819398 rounded to 6 decimal places?\nAnswer: 0.001802","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x, 1 g, and 1 j when four letters picked without replacement from xdjxjgjdjdjxjddxjxjj?\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/((((d\/d**(4\/3))\/d)\/d)\/d))**(-32)\/(d\/(d*(d*d*d**(-15\/7)\/d)\/d)*d*(d**(2\/27)\/d)\/d))**19 assuming d is positive.\nAnswer: d**(-502322\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are -25 and 59981 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 5 = t, t + 73 = -5*y + 66. Calculate the least common multiple of t and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.8 + 4. Let t = k + -0.1. Let x = -192\/7 - -27. Which is the nearest to t? (a) x (b) 3 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -79 + 78. Is 1\/24 < f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-44)\/55*35\/(-3) + -9?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 111, -6 in decreasing order.\nAnswer: 111, 0, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 248154822 to the nearest integer?\nAnswer: 15753","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -4 - (-1 - (-1 + 4)). Let j = 5 + i. Which is the biggest value? (a) 0.2 (b) -2 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 9 - 81b9?\nAnswer: -81b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 5 + (0 + sqrt(99))**2 + 3.\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - 17 = 5*f, 42*x = 52*x - 3*f + 5 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11.0209 - -0.0209. Let l = 65 - n. Which is the nearest to l? (a) 0.2 (b) 4 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 129*f + 1. Let k(a) = 3412596*a. What is t(k(g))?\nAnswer: 440224884*g + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -21 - -39. Suppose -6*b + d = -3*b. What is the highest common divisor of 2 and b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate d**3 - 8816*d**2 + 30*d - 1607829.\nAnswer: 3*d**2 - 17632*d + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 26? (a) 5 (b) -2\/3 (c) 2 (d) 1\/11 (e) 60\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1699 (base 10) in base 12?\nAnswer: -b97","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(-4\/15)*d)\/d)\/(d*d**35*d))**(-22) assuming d is positive.\nAnswer: d**(12298\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*s - 0. Let b be -2 - 2\/(s\/(-5)). Suppose -156 = -t - b*t. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 2*o**4 + 2*o**3 + 2*o**2 + 14. Let j(l) = -4*l**4 - 5*l**3 - 5*l**2 - 28. Let m(w) = 5*f(w) + 2*j(w). Differentiate m(k) wrt k.\nAnswer: 8*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 9e + -23?\nAnswer: 7b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3907 = 4*c + 10*c + 3963 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 50 + 12*l + 2 + 32*l - l**2 - 16 - 13 as v + t*l**2 + o*l and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the first derivative of j**8\/56 + j**4\/4 + 2*j**2 - 1. Let z(g) be the second derivative of i(g). What is the second derivative of z(n) wrt n?\nAnswer: 120*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-594)\/99 - 8*(-2 + 1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**2 - 657260*k + 126046464.\nAnswer: 4*(k - 164123)*(k - 192)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 685676?\nAnswer: 2, 23, 29, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -3 - 1 + q**2 + q + 3. Suppose -2*y + 0*d + d - 4 = 0, d = 0. Let w be z(y). Which is smaller: w or -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 0 + 2)*(1 - 1 - y) - 3*y - 3*y + 4*y + 3*y - y + 0*y + 4*y - y - y + (-2 + 4 - 5)*(-3*y + 3*y - 2*y).\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 74 + -26. Suppose -3*s = 2*k - 28, -50*s + 2*k = -51*s + 4. What is the highest common divisor of s and n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 708.692*164\nAnswer: 116225.488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 10*i**2 + 5*i + 47. Let b(u) = -14*u**2 - 5*u - 48. Determine 3*b(q) + 4*h(q).\nAnswer: -2*q**2 + 5*q + 44","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2581554 and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*f + 7*f = 2*r + 5, 0 = -f + 4*r + 1 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (-1 - ((-5 - 3) + 9)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 65\/304 + -1\/38. What is the closest to m in -4, 4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 79.893 rounded to the nearest 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -360*n**4 - 20428*n**3 - 5*n**2 + 204579314.\nAnswer: -1440*n**3 - 61284*n**2 - 10*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2863045009.\nAnswer: 11, 23661529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 215730 by -235.\nAnswer: -918","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**2 - 11*c + 4. Let k be s(-11). Let -4*j**2 - 5*j**3 - 13*j**3 + 6*j**3 + 11*j**k - 4*j**4 = 0. Calculate j.\nAnswer: -2\/7, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5264537 to the nearest integer?\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 75 and 1825?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*p**5 - 219*p**4 - 189*p**3 + 1911*p**2 - 2364*p + 864 = 0. Calculate p.\nAnswer: -72, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1486931, 1486938, 1486949, 1486964, 1486983?\nAnswer: 1487006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 125 = -4*v - 31. Let c = v + 67. Is c a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 39\/(-117) + (-66)\/(-90). What is the nearest to w in -8\/9, -1\/9, -0.3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.0561 - 9.1461. Let r = -9.2 - y. Let m = -3.03 - -0.03. Is m equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1136, 1146, 1162, 1190, 1236?\nAnswer: 1306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -u + 5 - 5 + 8 + 8*u + 6*u + 0*u + (1 + 0 + 1)*(-2*u - u + 5*u) - u + u - 2*u in the form o + w*u and give w.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence st when two letters picked without replacement from btttbttbttstebveet.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 6 + 2)*(-2*k + 4*k**2 - 3*k**2 - 3*k**2)*(2*k - 3*k - k)*(2 - 10 + 4).\nAnswer: 16*k**3 + 16*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) -106 (b) 2\/21 (c) -3\/5 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 711385765?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the second derivative of 147*q**5\/20 - 13*q**4\/6 - 2*q**3 + 193*q + 2. Find the third derivative of h(t) wrt t.\nAnswer: 882","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21.565758 rounded to two decimal places?\nAnswer: -21.57","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4677 + -4673. Solve 4*t = 3*j + t, f*t - 4 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 1554 = -0*x + x, 5*n - 2570 = 5*x. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dlrp when four letters picked without replacement from prrllpgd?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -83 + 87. Which is the nearest to -1? (a) y (b) -1 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 4, -17, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 857 a factor of 3087771?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a meter in millimeters?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**2 + 2. Let w be t(0). Let u = 784.43 + -780. Let x = -0.43 + u. What is the second smallest value in w, x, -4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -2*u - 1. Let o(a) = 3*a - 252. Determine o(z) + 2*q(z).\nAnswer: -z - 254","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 6*l**2. Let t = -101 + 107. Let h(b) = 9*b**2 + 7*b + 7. Let j(k) = -8*k**2 - 6*k - 6. Let i(o) = t*h(o) + 7*j(o). Calculate i(r(q)).\nAnswer: -72*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 4*r = 46 - 6, 8 = -t + 4*r. Is 35658\/9*(t\/8 + 2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 - (3 + -5 + -1). Let n be (8 + -11 + 2)\/((-2)\/16). Suppose -6*k + n*k - 4 = 0. Solve k = -a - j for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 974 = -t, -5*t - 315 = -u - 1. Are u and 331 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 205 or 208?\nAnswer: 205","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 148 - -68. Suppose -u + 418 = 3*y, -5*y + 910 - s = u. Suppose 2*c + 187 + 371 = 4*q, y = q + c. List the prime factors of q.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -175 - 178 + 3*q**3 + 353.\nAnswer: 3*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1906728058 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -179\/150 and -9\/40.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1592)\/1791)\/(29348\/(-207))?\nAnswer: 2\/319","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 541 is divided by 119?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r + 114 + 386. Let o = -93 - r. Solve o*m = 5*m - 8 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000318131 rounded to four decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -11268 or -11841?\nAnswer: -11268","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/5 of a week?\nAnswer: 6048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 1\/4, 4\/3, -23780 in descending order.\nAnswer: 4\/3, 0.3, 1\/4, -23780","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11671 and 1061.\nAnswer: 11671","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 26 and 7928089?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1516961?\nAnswer: 17, 29, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4863978476?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 34206 by 1.\nAnswer: 34206","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 313 (b) -0.4 (c) -3.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, 1, 9 in increasing order.\nAnswer: 1, 2, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a**4\/7 + 43506*a**3\/7 + 66970917*a**2\/7 + 24443320596*a\/7 - 73933874460\/7 = 0. What is a?\nAnswer: -718, 3, 15935","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/17*b**2 - 6\/17*b**4 + 0*b + 0 + 4\/17*b**3.\nAnswer: -2*b**2*(b - 1)*(3*b + 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2251?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/5 (b) -3 (c) -3\/7 (d) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 153\/79 or 1?\nAnswer: 153\/79","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*r - 47*r - 6*r in the form c*r + u and give c.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.33 in 26, -141, -2\/21?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express y**2 + 0*y**2 - 6721 + 6696 + 3*y**3 in the form c*y**2 + p*y**3 + b*y + v and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 2\/7, -1\/4 in descending order.\nAnswer: 2\/7, 0.1, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 3*c + 6*h - 8, c - 3*h = -1. Calculate the smallest common multiple of 72 and c.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -3*p**2 + 3*p - 8. Let b be -23 - (4 - 13 - 15). Let l(x) = x - 1. Determine b*i(a) - 6*l(a).\nAnswer: -3*a**2 - 3*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -495, -492, -477, -444, -387, -300, -177, -12?\n\"Answer: v**3 - 4*v - 492","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 28*12\/96*-7*18\/21\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/56 and 27\/88.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as -1\/12420?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12016?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -184 - -347. Suppose -2*g = -4*k + 3*k + p, -20 = 5*g. What is the greatest common divisor of k and 62?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6.1 + 7. Let i = -4 - -3.3. Let u = i + w. Which is the second biggest value? (a) u (b) -0.6 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 119191 to the power of 1\/3, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, 24, -3?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 j, and 2 y when four letters picked without replacement from yywvyywywyjyjw?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -50*t - 2*t + 21*t + 0*t**2 + 7*t**2 wrt t?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2442 - 2305. Calculate the remainder when 161 is divided by u.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 21724.9988403 - 21725. What is n rounded to 4 decimal places?\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11, -31, -41, -35, -7?\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.811 plus -0.6?\nAnswer: -2.411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(340)\/((sqrt(500)\/sqrt(10))\/sqrt(5) + sqrt(10) - sqrt(10))*-1)\/((sqrt(2) - (sqrt(2) + sqrt(2)*2)*5) + sqrt(18)*1).\nAnswer: sqrt(17)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 + 3. Suppose -n = -3*l + 4*l + 1, h = -3*l + 3*n + 21. What is the units digit of ((-2)\/(-4))\/(l\/6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 27 + -25. Suppose 4 = 7*o - 2*o - q*y, -19 = -5*o - 3*y. Let c be (-2)\/o*(12 + -12). Solve c = -3*z + 4*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 770.4*-847\nAnswer: -652528.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 94205411 to the nearest integer?\nAnswer: 9706","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.3 + 1.3. Let w = 4.9 - 5. Which is the closest to x? (a) 0 (b) w (c) 5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**3 + 62*b**2 + 895*b + 602. Give a(-40).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -8, 63, 0, -5, 3 in descending order.\nAnswer: 63, 11, 3, 0, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -32 + 5973?\nAnswer: 5941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - -2. Let m = w - 1.4. Let z = 18 - 13. Which is the nearest to 0? (a) -2 (b) z (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the first derivative of 7*j**2\/2 - 15*j + 28. Let y be s(4). Suppose -y*a + 15*a = 222. List the prime factors of a.\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7952 - -4991. Is -2960 less than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3647323.\nAnswer: 1259, 2897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 + 9 = 9*n. What is the second derivative of 28*i - 16*i + n*i + 46*i**4 wrt i?\nAnswer: 552*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the first derivative of 11*g - 15*g - 5*g**2 + 35 - 66*g. Let t be n(-7). What is t rounded to 4 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 5*t - 4. Let z(f) = 6*f - 5. Let s(g) = -5*u(g) + 4*z(g). Let l(y) = -4*y. Let q(b) = -7*b. Let j(x) = -5*l(x) + 3*q(x). Determine s(j(d)).\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:11 AM and 5:04 AM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes after 3:50 AM?\nAnswer: 5:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5582.45ug to milligrams.\nAnswer: 5.58245","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 c when two letters picked without replacement from {a: 1, c: 8, q: 1, e: 8}.\nAnswer: 64\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m + 6 = -64. Sort 4, -4, m, 2 in ascending order.\nAnswer: m, -4, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -5*n**3 - 54*n**2 + 11*n + 25. Let p(c) = -c**3 - 11*c**2 + 2*c + 5. Let d(w) = -11*p(w) + 2*u(w). Give d(-13).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -52, -50, -36, -4, 52, 138, 260?\nAnswer: 424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:16 PM and 9:35 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 206 divide 30806864?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15076172?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**4\/2 - 1727*w**3\/2 + 372383*w**2 + 374976*w - 746496.\nAnswer: (w - 864)**2*(w - 1)*(w + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -28873655483\/42 - -687433865. Let n = -34121 - f. What is the common denominator of -145\/12 and n?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = -142*g - 3 + 169 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k. Let j(a) = -a + 521. What is j(b) - 6*u(b)?\nAnswer: -7*b + 521","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -2*i - 15. Sort 4, i, -3, -11 in decreasing order.\nAnswer: i, 4, -3, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -12*q + 9. What is the common denominator of (-2)\/q - 51\/(-48) and -1\/16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 14 - 4*m - 14 + (0 + m + 0)*(-3 + 1 + 0) - 4 - 5*m + 4.\nAnswer: -11*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zqmzzmmmmvzqmmzmqzzq. What is prob of sequence vmm?\nAnswer: 7\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 1 j when three letters picked without replacement from nunjunnjddndnunn.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.33? (a) 0.03 (b) 37 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -7*(-8)\/112 - (19 + -16). Sort 2\/49, 4, -2, -0.3, m in ascending order.\nAnswer: m, -2, -0.3, 2\/49, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -100655 divided by -333.\nAnswer: 100655\/333","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes after 10:04 AM?\nAnswer: 10:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 31 + 20?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 3*s + 1 - 2*s - 3 + s. Let t(l) = -3 + 64*l - 31*l - 30*l. Calculate -7*n(z) + 5*t(z).\nAnswer: z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(704) - (sqrt(704) + 1)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(2\/3))**(-36))**32*((q*q**(-8))\/(q*q*q\/(q*q**(-2\/15))*q))\/((q\/q**(-2\/3))\/q*(q\/q**(-3\/4)*q)\/q*q) assuming q is positive.\nAnswer: q**(-15631\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/5 in 4, 0.5, -2\/9, -3\/13, -9122?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 32792 + -491878\/15. Suppose 0 = -3*q - q + 8. Suppose q*b + 2 = -4*h - 8, -14 = -2*b + 4*h. Which is smaller: b or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in seventy-five quarters of a meter?\nAnswer: 1875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 157010128 to the nearest integer?\nAnswer: 539","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 32838?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*h**2 - h**2 - 4*h**2 - 26*h**2 + 99*h - 99*h - 2*h**2 + 6*h**2 - 5*h**2 + 1 - 3*h**2 - 1 + (-2*h - 1 + 1)*(-3 + 3 + h).\nAnswer: -33*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -4*s**2 + 5*s. Let a(q) = -7*q**2 + 11*q. Calculate -6*a(p) + 10*i(p).\nAnswer: 2*p**2 - 16*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 677 a factor of 8110406?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 70.78659 millennia?\nAnswer: 70786.59","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -178043301.1029 - -178051871. Let v = 8565 - m. Let a = 4.9 + v. What is a rounded to four decimal places?\nAnswer: 0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*d = 79 + 449. Put d, -0.5, 5 in descending order.\nAnswer: 5, -0.5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 51 - 5 = 0. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1539*y + 1933*y**2 - 1539*y in the form j*y**2 + z + g*y and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -55 * 0.9\nAnswer: -49.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 145*k**2 - 124 - 37 + 161 + 2400*k**2.\nAnswer: 2545*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 3, f: 9}. Give prob of sequence vvvf.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (232\/522)\/(3\/594). Suppose -2*a - 3*m + 37 = 0, -3*a + 5*m + 0*m = -8. Calculate the highest common divisor of w and a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4526720?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = 2*n - 8*s + 4*s, 0 = -4*n - 5*s - 32. Let l = 5 - n. Solve 3*q - 6 = k - 0*k, -4*q = 2*k - l for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/7 + 410\/70. Let o = r - 4. Suppose -5*v + 20 = -5*j, -4*v - 6*j = -j - 7. Sort -2, o, v in descending order.\nAnswer: v, o, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x + 1. Suppose 3*g - g = 5*y - 25, y = -4*g + 5. Let n be h(g). Let w(c) = -n + 5 - 2*c**2 - 4. Let t(d) = 2*d. What is w(t(b))?\nAnswer: -8*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 9*g**2 + 716*g - 17312. Determine l(-99).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 5 = -5*o - i, -4*o - 4 = -4*i. Sort 9, 0, 4, -4, o in increasing order.\nAnswer: -4, 0, o, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -59c (base 16) in base 15?\nAnswer: -65b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eepdekese. What is prob of sequence kspe?\nAnswer: 5\/3024","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2, -170 in descending order.\nAnswer: 2, -4, -170","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3014 and 14498?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (42*(-418)\/1197)\/(1*2)\nAnswer: -22\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 less than -5194903983?\nAnswer: -5194903986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -q + 176. Suppose -9*a + z - 89 = -7*a, -5*a - 2*z = 209. Let k = q + a. Is k a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 10 + 2 = 0, 2*w - 2*g = 0. Let r = 6 + w. Calculate the remainder when 17 is divided by r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 35157432 to the nearest integer?\nAnswer: 5929","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 - -11.2. Which is the second smallest value? (a) -0.4 (b) h (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/2*1252\/(-39). Let t = n + -48. Let k = 3 - 2.9. What is the nearest to k in t, 0.4, 2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwgwggggww. Give prob of sequence wg.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 131952 by 48.\nAnswer: 2749","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 118*b**2 + 2826*b - 145. Calculate n(-24).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8085 divided by -539?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes after 11:09 AM?\nAnswer: 4:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 + 12. Let m(n) = -2 + 4 + n**3 + 1 - 11*n**2 + n + 0*n. What is the least common multiple of m(11) and t?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o - 1. Let q(z) = -9*z + 18. Let k(w) = q(w) - y(w). Let r be k(3). Sort -2, -7, r.\nAnswer: -7, r, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20301 (base 4) to base 14\nAnswer: -2c1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 277649?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -62 by -31.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**2 + 7*v - 11. Let x be (-2 - 2 - (0 + -4))\/1. Let q be u(x). Sort 4, 1, q in increasing order.\nAnswer: q, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 21723803 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -121\/1009422 and 145\/37386?\nAnswer: 1009422","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -47, -86, -131, -182, -239, -302?\n\"Answer: -3*m**2 - 30*m - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 336.3799 micrometers to millimeters.\nAnswer: 0.3363799","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 318 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -920*w + 1 = -932*w + 13 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -d6 + d87?\nAnswer: c91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 3*q = 3, 6*p + 5*q - 5 = p. Suppose r - 6*r - 2*y + 11 = 0, -r + 2*y - 5 = p. Calculate the remainder when 34 is divided by (r - -20) + (-3)\/1.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 0*q - 2. Let y(i) be the first derivative of 5*i**3 + 4*i - 246. Does 17 divide y(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 4*z + 74 = 0, -3*z + 2 = -2*z. Calculate the highest common factor of g and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5859.69 - 5711. Let w = 2.69 - i. Let a = w + 156.3. Round a to the nearest integer.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7821009?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 10, -6\/11, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -178*c**2 + 6*c + 0*c + 163*c**2 + 2*c - 10 in the form t*c**2 + l + n*c and give n.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-116)\/8*-1*(-240)\/(-12). Let s = q + -1448\/5. Solve -2\/5*c**3 + 0 + s*c + 0*c**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/5 (b) -2\/7 (c) -26 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the third derivative of -55*w**4\/24 + w**3\/2 + 65*w**2 - 16*w. Give p(1).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) -1165 (c) 34\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 11, 39, 85, 149, 231, 331, 449?\n\"Answer: 9*y**2 + y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 + 5 - 5) + 19.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -48 times 0.01994872\nAnswer: -0.95753856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1194 to the power of 1\/2, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91861511 is divided by 4409?\nAnswer: 4405","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -6*x - 28 + 14*x + 26 + 23. Let g(q) = -2*q - 5. What is 9*g(m) + 2*j(m)?\nAnswer: -2*m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1404)*-3)\/sqrt(3) - (sqrt(13)*3 + 5 - -3*sqrt(13)*-1)**2.\nAnswer: -18*sqrt(13) - 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z + 2*z = 0. Suppose z = 2*c - 3*o + 8*o - 162, -2*c + o = -150. Let n = c + -10. Is n a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2240947177 a multiple of 586?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 181\/30 and 428\/(-38)*-1*135\/1800 - 1.\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes after 3:22 AM?\nAnswer: 8:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwww. Give prob of sequence ww.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + o = 12. Differentiate 1 - o*v**4 + 0*v**4 - 4 - 4 wrt v.\nAnswer: -12*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/59, -1\/4, -1\/2, 0.4 in decreasing order.\nAnswer: 0.4, -2\/59, -1\/4, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 496.2 + -713.2. Sort -5, p, -2 in ascending order.\nAnswer: p, -5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -655 (base 7) to base 10.\nAnswer: -334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(-1)*(-6 + 4). Suppose w*l + 3*l = 10. Let 0*q**3 + 0 + 0*q - 2\/3*q**4 + 2\/3*q**l = 0. What is q?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/15 and 74\/465.\nAnswer: 465","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1924.\nAnswer: 2, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 - 5. Which is the closest to 0.1? (a) 2\/15 (b) 4 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00007698804098 to seven decimal places.\nAnswer: 0.000077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (2*sqrt(320))**2 + sqrt(320) + -5*(sqrt(320) + -1))*-1 + ((sqrt(320) + -3 + -4 + 4)*-2)**2.\nAnswer: -160*sqrt(5) + 29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -1281*p - 8. Let b be q(2). What is b rounded to the nearest 100?\nAnswer: -2600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -7*a - 200. Give u(-29).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 26 and 20241.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -67\/140 or 0?\nAnswer: -67\/140","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*h = 17666 - 17582 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -3*q + 3. Calculate l(5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9.194 - -8.22. What is f rounded to two decimal places?\nAnswer: -0.97","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the third derivative of -u**4\/8 + 47*u**3\/6 - 7045*u**2. What is c(-11)?\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 26 + -27.1. Let y = 1.9 - z. Put y, -3, 1 in increasing order.\nAnswer: -3, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96980 rounded to the nearest one thousand?\nAnswer: 97000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -114 (base 7) in base 6?\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.302899 rounded to two dps?\nAnswer: 3.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-1*sqrt(8)\/sqrt(16) + 3 + (sqrt(128)*-2)**2) + 4.\nAnswer: -2571 + 5*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2259\/4 + 571. What is the common denominator of w and (-24)\/14 - (-4)\/14?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 2*a + 8 = 0, -3*c - 3*a - 14 = -5*c. Let p(j) = -j - 2*j + 2*j - c*j. Suppose 3*g = -z + g - 4, 3*g = z - 16. What is p(z)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {g: 2, l: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 25044390809 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 113 a factor of 14279791?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (0\/(-33))\/(-1*6)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*i**2 - 4 + 4)*(-5*i**2 + i**2 + 2*i**2) + 3*i**2 - i**4 - 3*i**2)*(3*i + 2*i + 13*i).\nAnswer: 54*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-1)\/(c*(c\/c**(1\/3))\/c)*(((c\/(c*(c**(2\/7)\/c)\/c*c*c))\/c)\/c)**36 assuming c is positive.\nAnswer: c**(-1763\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*j + 50 - 50 + j - 5*j.\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -382 + 697 + 634 + 1003 - 387 - 35*v wrt v?\nAnswer: -35","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eme when three letters picked without replacement from memmmoeooecomemmoc?\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -16 in -6\/5, -0.1, 9, 0, 0.4?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3 - -6 - -3 - 2. Suppose 0 = -w + k*w - 15. Solve 3*h - 13 + w = -5*r, -4*h = r - 5 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -49814719 and -471603.\nAnswer: -50286322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 114, 178, 242, 306?\n\"Answer: 64*u + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29\/4 - (-26 + 33).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 1 o when three letters picked without replacement from oooooooouououoouoo.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2\/367, -0.3, 3 in decreasing order.\nAnswer: 3, 2\/367, -0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 2040?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 126\/(-24)*(-24)\/9.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-52)*((-16640)\/(-340))\/64?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -521*d - 559*d - 3 + 235*d. Is h(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h + h + h + (2*h + 2*h - 3*h)*(-2 + 1 - 1))*(-5*h**3 - 8*h**3 + 0*h**3).\nAnswer: 13*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 3*l - 6 = 0, 4*u - 5*l + 0*l = 10. Suppose f - 3*f = u. Suppose f = -2*v + 9 - 1. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 198011?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 27 divided by -364\nAnswer: -27\/364","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 10) in base 11?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.2 + -0.1982942?\nAnswer: 2.0017058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -207, -245, -307, -393?\nAnswer: -503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 94*z - 107*z + 4)*(11 - 21 - 24)*(7*z - 2*z - z).\nAnswer: 1768*z**2 - 408*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2.68 in 12, -14, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 316 and 4266?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -1 + (9 - 6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 3\/83 (b) -2\/97 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11001111010011010 + -10?\nAnswer: 11001111010011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000026309649 to seven decimal places.\nAnswer: 0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9.3 - 11. Let k = s + 1.3. What is the nearest to -1\/2 in k, -1\/2, 16?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52389517111 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 4*a - 8. Let n(s) be the third derivative of -2*s**2 + 1\/20*s**5 + 0 + 0*s + 0*s**a + 1\/6*s**3. What is the derivative of n(j) wrt j?\nAnswer: 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 4, 0*x + 5*h - 16 = -x. Is 2 a factor of -1*(x\/1 - 0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - (-153)\/34)*(-16)\/3.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4635)\/(-7) + (-2)\/14 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -2*n + 10. Let w be j(-10). Suppose w = 4*g + g. Let c = 15 - g. Is 3 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -5*g - 42. Let u be g\/(-2)*1*(-11 + 0). Which is smaller: u or -31?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:16 AM and 1:02 PM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -27.9719 to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 2*w**3\/13 - 2063960*w**2\/13 + 2063954*w\/13 + 317532 = 0.\nAnswer: -1, 2, 1031979","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**2 + 1. Let x(p) = 10*p**2 + 8*p - 12. Let v(z) = -5*m(z) - x(z). Let u be v(3). Let k = 108 + u. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 119 divide 1428?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2259 and 1.\nAnswer: 2260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**2 - 130*l - 1399. Determine h(140).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((6 - 2)\/2)\/(24\/36). What is the third derivative of 22*k**b + 25*k**3 - 11*k**3 - 37*k**2 wrt k?\nAnswer: 216","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 3251613?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 141 divide 31584?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, -2\/3, 5, 140?\nAnswer: 140","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 30 = 3*q. Let z be 3*q*(-2)\/(-4). Suppose 8*n = 4*n + 36. Calculate the highest common divisor of z and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3937 is divided by 179.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 15759 divided by 309?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -11*k**2 + 17*k. Let n(z) be the third derivative of -z**5\/15 + z**4\/4 - 85*z**2 - 2*z. Let a be (1*(-6)\/2 - -9) + 0. Calculate a*p(r) - 17*n(r).\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 138 and 219144?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 78424?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 7*g = -20. Let a = g - 2. Let b be a\/(-6) - (-365999)\/(-3). What is b rounded to the nearest ten thousand?\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*q**2 - 2*q**2 + q**3)*(3 + 0 - 1) + (-3 + 2*q**2 + 3)*(-17*q + 8*q + 4*q + (-2 + 2 + 2*q)*(0 - 5 + 0)) to z*q**2 + v*q + l + a*q**3 and give a.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 4099 divide 55479745?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*b - 27 = -71. Suppose -3*z + 19554 = 5*h - 2*h, -b*h = 4*z - 13030. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10576717 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -2*s + 1. Let t = -25 + 43. Let v(d) = -t*d - 1 + 12*d + 7*d. Let m be v(2). Give w(m).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 + -11. Let j be (d\/(-12))\/(2\/9). Let l be -2 - ((-4)\/18 + (-270)\/243). What is the closest to j in 3\/2, l, -1\/3?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 1 a when three letters picked without replacement from tttoptpctaot.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s*s\/(s**(-6\/7)\/s)*s*s*s*s**(-11\/3)\/s)\/(s**0*s**(2\/15)) assuming s is positive.\nAnswer: s**(107\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1005, 8034, 27113, 64266, 125517, 216890, 344409?\nAnswer: 514098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -10010110000000 (base 2) in base 8?\nAnswer: -22600","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -3*y + 384, -2*y + 5*w + 512 = 2*y. What is the greatest common factor of 16 and y?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -13 + (-2080)\/2064*-9. Is a equal to -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -25*v**3 + 13*v. Let u(o) = 13*o**3 - 7*o. Let y(z) = 6*f(z) + 11*u(z). What is the second derivative of y(d) wrt d?\nAnswer: -42*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -494843831*l**6 - 405940546*l**2 wrt l.\nAnswer: -59381259720*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1 - -4 - (3 + -1 - 0)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:24 PM and 6:09 PM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 269730676?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 1 + (3 - (-2 - -4))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 43\/6 in -39, -3, 0.377?\nAnswer: 0.377","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 - 1)\/(3\/3). Sort 1, c, -2 in decreasing order.\nAnswer: 1, c, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*u**3 + 7*u**3 - 2*u**3 + (0 + 0 - 2*u**2)*(-5*u + 0*u + 3*u) + 8 - u**3 - 8.\nAnswer: 18*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 6*r**3 + 134*r**2 + 703*r + 35. Give s(-14).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2305169 is divided by 576161?\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/4*(-1 - -9). Suppose 2*n - a*m = 26 - 8, 0 = 5*n + 4*m - 87. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 50.\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the first derivative of -11\/2*p**2 + 0*p + 0*p**4 + 26\/5*p**5 + 23 + 0*p**3. What is the second derivative of u(g) wrt g?\nAnswer: 312*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -64.1, -0.3, -97\/3, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1720.4 + 1720. Which is the fourth biggest value? (a) w (b) 1\/2 (c) 0.0036 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1134720 is divided by 378213.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-5\/6)*w)\/((w**(-2\/21)*w*w)\/w))\/(w**(-4\/5)\/(w\/w**(-22))) assuming w is positive.\nAnswer: w**(4843\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6803, 6901, 6999, 7097?\nAnswer: 7195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + r + 1)*(2764*r + 2024*r - 1557*r).\nAnswer: 3231*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r + 4*i - 15, 6*i - 11 = r + 3*i. Suppose 3 = 2*w - r, -2*u + 16 = 4*w. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1691054 by -16418.\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 32 - 6. Suppose -3*h + 1 = -4*l + 18, a = h + 5*l. What are the prime factors of (h + 10 + -1)*1?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 74406538?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38836401.\nAnswer: 3, 12945467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 26.7209491 rounded to one dp?\nAnswer: 26.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -q - 2*q**2 + 5*q**2 + 21*q**2 + 0*q as k*q + h*q**2 + b and give h.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-234)\/(-12))\/(72\/(-96)).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18 + -13.9. Let h = 4.179 - w. Which is smaller: -2\/3 or h?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25393057 is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01120216 rounded to four dps?\nAnswer: 0.0112","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(77) + (sqrt(77)*-1 - sqrt(77) - sqrt(77))))\/sqrt(11)*-5.\nAnswer: -10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:33 PM and 9:00 AM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 take away 70?\nAnswer: -69.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3583986 a multiple of 506?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 2.3, 1, -2\/151, 0.3?\nAnswer: -2\/151","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**3 + 12*j**2 + 12*j + 14. Let q be d(-11). Suppose -a + 6 = q. Let k = 767 - 758. Solve -h = a*r - k, 3*h - 4*r - r + 15 = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11294*b + 11293*b - 957*b**2 + 266*b**2)*(2*b**2 - 7*b**2 + 2*b**2).\nAnswer: 2073*b**4 + 3*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.92 + 0.62. What is the third smallest value in 0.1, -0.5, s?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84)*2*-4 - sqrt(84)) + sqrt(84) + sqrt(84) + (sqrt(84) - (sqrt(84) - (sqrt(84) + sqrt(84)*-1)*-1)))\/(sqrt(12) + sqrt(432)*1 + 2*sqrt(300)).\nAnswer: -7*sqrt(7)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the third derivative of -h**5\/60 - 5*h**4\/12 + h**3\/2 + 106*h**2 + 10*h. Calculate m(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112 = 6*x + 106. Solve -w = 1, -5*w = 2*r + 14 + x for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 1 + (4 - 2 - 1)*(3 - 2 - 14))*(0*r**3 - 2*r**3 + r**3 + (-r**2 - r + r)*(6*r + 22 - 22)).\nAnswer: 84*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 + -47?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -10214, -38470, -84860, -149378, -232018, -332774?\n\"Answer: o**3 - 9073*o**2 - 1044*o - 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/(-4))\/3*11825320\/(-68223).\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2725016?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 36661 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3 - (-46)\/(-10))\/((-6)\/15). Let q(l) = -l + 1. Let p be q(-2). Solve -r - 7 = p*t, n*t - 4*r - 2 = -6 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (9 - (3 + -2)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 9*l - 25. Let p(r) = 13*r - 38. Let a(v) = 5*p(v) - 7*t(v). Let z be a(8). Let h be (5 + -5)\/(z*-2). Are h and -1\/7 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1721*p - 635*p - 2280 - 27139 = -93*p for p.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -2*f + 4. Let a be -3 + (1 - 1) + 5. Suppose a*s - 12 = -2*l - l, 20 = 5*l - 5*s. Give y(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 184884749?\nAnswer: 7, 283, 93329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8257 - 7501. Is a a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*n**4 - 3*n**4 + 2*n**4 + (4*n**3 - 3*n**3 + n**3)*(-1 + n + 1) + (1 + 5*n - 1)*(37*n**2 + 3*n**3 - 37*n**2) + (3 - 2*n**2 - 3)*(-1 - 2*n**2 + 1).\nAnswer: 23*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -21101220 (base 3) to base 9\nAnswer: -7356","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -255 (base 11) to base 13\nAnswer: -1a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -548475, -2194254, -4937335, -8777718?\n\"Answer: -548651*o**2 + 174*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/4 (b) -0.08 (c) 2\/3 (d) 0.5 (e) 0.74 (f) 2 (g) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 10*w - 13*w = 29, -2*p - 2*w = -4 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, n: 2, x: 7}. What is prob of sequence tn?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 + -101000110110010?\nAnswer: -101000110110020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 695*y**2\/3 + 1256015*y\/3 + 418440 = 0?\nAnswer: -251064\/139, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 46291399*q**2 - 1000424*q wrt q.\nAnswer: 92582798","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:06 AM and 3:08 AM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 12044339843 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3708 - -3424. Is v less than or equal to 38?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 + 8. Let w(m) = -5 + j + 2*m**2. Let i(p) = 15*p + 2. Let a(o) = -23*o - 3. Let k(s) = -4*a(s) - 6*i(s). Calculate k(w(x)).\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l\/(l*l\/l**(4\/7)))\/(l**(2\/13)\/l))**33)**6)**14 assuming l is positive.\nAnswer: l**(15048\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v + 231 = 3*o + 5*v, 4*o - 2*v = 308. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -3*f**2 - 2*f + 4*f**2 - f**3 + f**2 + 4*f**2 - 3. What is n(6)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 471 + 1358. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/1014 and 27\/8060?\nAnswer: 314340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mim when three letters picked without replacement from {m: 8, i: 6, r: 1}?\nAnswer: 8\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-948)\/72)\/79*39\/(-2)?\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of p + p**6 - 34*p**6 + 4*p**6 - 605*p**3 - 4*p**5 - 43*p**2 + 1227*p**3 - 615*p**3 + 2 wrt p?\nAnswer: -3480*p**3 - 240*p**2 + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -27822, -55649, -83478, -111309, -139142, -166977?\n\"Answer: -u**2 - 27824*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -745*b - 1490. Give r(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.7 - 2.3. Suppose 0 = 2*v + 6 + 4. What is the nearest to -1 in f, -0.1, v?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1185304229?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.0742 - 4.9258. What is the closest to 2 in 4, a, -0.1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r - 8. Let z(l) = l + 10. Let w be z(-5). Suppose -w*a + 0*a + 30 = 0. Let g be x(a). Is g > -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + 1\/(-2))*32\/48?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -954482 minus 2302.888?\nAnswer: -956784.888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 111\/7990 and -31\/25615.\nAnswer: 870910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2101301 (base 4) to base 6.\nAnswer: -111105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n + 2*n + 960 = 0. Let x = -127 + n. Is 13 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 54312*v**6 + 206*v**5 + 1436517*v**2 wrt v?\nAnswer: 6517440*v**3 + 12360*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(1 + (-2 + -1*(0 + sqrt(1573)) + 4 + (1 + sqrt(1573))**2*-4)*2).\nAnswer: -75522 - 1188*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3.1 (b) -276 (c) -1\/4 (d) -0.01\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 110585 is divided by 45.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 0, 19, 60, 135, 256, 435, 684?\nAnswer: 1015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -376810536\nAnswer: -376810537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*i + 450 = -17*i. Let x be 6\/(-24) - i\/(-8). Suppose -a = a - x. What are the prime factors of a?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 141265, 140684, 140103?\nAnswer: 139522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 0 - 4 - (78 + -9 + (-20 - 3))?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**2 + 4492*p + 2784267. Calculate t(-552).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(363) + sqrt(363) + -2 - (sqrt(3) + sqrt(192)))**2 - (-3 + -2 + sqrt(3) - 2*(sqrt(27) - sqrt(3))).\nAnswer: -49*sqrt(3) + 516","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*l + 3*n = 21, -37*l + 11 = -41*l + n for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 70527.9l to millilitres.\nAnswer: 70527900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**3 + 37*q**2 + 304*q + 188. What is u(-21)?\nAnswer: 860","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -2.1 (b) -1 (c) -9 (d) 329 (e) 1\/7 (f) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 68 (base 16) to base 2\nAnswer: 1101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(252) + sqrt(252) + sqrt(252) - -1*sqrt(2800))\/(sqrt(4) + sqrt(12)\/(-6*sqrt(3)) + sqrt(100)*-2).\nAnswer: -78*sqrt(7)\/55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zeezeewewweeeezwsse. What is prob of sequence ezse?\nAnswer: 15\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -4 - n + 2*n + 6. Suppose q - 3 = 1. Let v(b) = b + 3. Let d(r) = q*v(r) - 6*j(r). Let k(u) = 3*u. What is k(d(w))?\nAnswer: -6*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-4) + (-5)\/(-2). Suppose 2*q = m*q - 721. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*s**3 + 21*s**3 + 41*s**3 + 76*s**3.\nAnswer: 125*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/((6612\/(-1292))\/(-87))?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*b**4 + 14844*b**3 + 13764096*b**2 - 13778944*b = 0. Calculate b.\nAnswer: -1856, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 64256 = -0*v. Is v\/24*(-3)\/2 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g + 1. Let t(b) = b**3 - b**2 - b + 5. Let u be t(0). Let r be d(u). Let i = 33 - r. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -2*x**2 + 6. Let o(c) = 2*c**2 - 5. Let k(l) = -l**2 - 7*l. Let p be k(-6). Let n(r) = p*o(r) + 5*q(r). Let g(a) = -6*a**2. Give g(n(t)).\nAnswer: -24*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + 3*h + 5 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 83*m**2 + m - 2. Let z be 266\/114*((-6)\/(-1))\/2. Suppose -3*b = -10 + z. What is the units digit of l(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 - 11200120?\nAnswer: -11200201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 2*t**3 - 5*t**2 + 39*t - 474. Calculate q(6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2313 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: Suppose 0 = -2*o - 0*o. Let f(v) = -v**2 - 2*v + 24. Let z(x) = -x**2 - x + 25. Let b(r) = -2*f(r) + 3*z(r). Does 11 divide b(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.01, -6, 580, 9?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -184 + 187. Let l be m\/12 + ((-47)\/(-4) - -4). Solve 0 = 4*i - 2*x - l, -2*i - 4 = x + x for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*v - r = -21*v - 21*v, 0 = 31*v - 4*r - 47 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = -m - 4*d + 11256, 11214 = m - 3*d. Is 27 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 19, i: 1}. What is prob of sequence mmm?\nAnswer: 17\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:57 AM and 4:13 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -6*c + 2*c. Let d(g) = -3*g**3 + 7*g**2 - 2*g. Let s(y) = y**3 - y**2. What is c*d(m) - 6*s(m)?\nAnswer: -3*m**3 - m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 174*z**3 + 149*z**3 - 320*z**3.\nAnswer: 3*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5736701 + 5.\nAnswer: -5736696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3594 is divided by 225.\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 4, 3*j - 137 - 165 = 2*u. Let r = -201\/2 + j. What is the biggest value in -2\/15, r, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.31262522255 + -158.31262451255. Let c = 148.3 + 9.7. Let y = p + c. What is y rounded to six dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001001 + -101111101?\nAnswer: -111000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 301 = 41. Let c = 52 + i. Sort c, -0.4, 2 in descending order.\nAnswer: 2, c, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 + 7. Let r be (p - (1 + -9))*1. Solve -3*z + z + 5*i + 20 = 0, 4*i + r = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8\/12 - 29\/48. Let a = 19\/48 - g. Solve 0 + 1\/3*j + a*j**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the second derivative of -m - 1\/20*m**5 + 0 - 1\/2*m**2 + 0*m**3 - 1\/4*m**4. Determine u(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-24)*1)\/(1\/4).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the second derivative of -21*n + 1\/6*n**3 + 4\/15*n**6 + 45\/2*n**2 + 0*n**4 + 0 + 1\/4*n**5. Find the second derivative of c(i) wrt i.\nAnswer: 96*i**2 + 30*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the third derivative of g**7\/840 - 7*g**6\/240 - g**5\/15 + 7*g**4\/48 + 5*g**3\/8 + 30*g**2 + 3. Factor r(a).\nAnswer: (a - 15)*(a - 1)*(a + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 2, -5\/6, -61, 15?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 57*s**3 + 7*s**2 - 1124*s - 4. Let k(n) = -2*n**2 - 2*n + 1. Let d(t) = 4*k(t) + o(t). What is the third derivative of d(g) wrt g?\nAnswer: 342","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 - 0. Let h(u) = -u**2 + 5*u + 3. Let x be h(z). Let m be (-5 + 0)*x\/5. Solve 0 = 4*i + 2*r + r + m, -4*i - 5*r - 5 = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -63 (b) -46 (c) 2 (d) -9 (e) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l + 3*j - 2 - 1, -1 = 3*l + 4*j. Suppose 195 = -69*u + 74*u. Suppose -2*r + 5*r - u = 0. Solve l*h + q + 5 = -4*q, r = -h + 3*q for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the first derivative of -13*u**6\/3 + u**3\/3 + u**2 + 37*u + 62. What is the second derivative of i(c) wrt c?\nAnswer: -520*c**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -33 + -325?\nAnswer: -402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 45850939.8 to the nearest one thousand.\nAnswer: 45851000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7157)\/(-12630))\/((-102)\/264)?\nAnswer: -22\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -j**3\/5 - 5852*j**2\/5 + 23421*j\/5 - 17568\/5 = 0.\nAnswer: -5856, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -11333 + -3?\nAnswer: -11336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-4)*-2*4\/20\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -82*s + 82*s + 7 - 3*s**2 in the form g*s**2 + x*s + z and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1101001010111001100 (base 2) to base 14.\nAnswer: b33c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*m**3*t*x + 15*m**3*t + 10*m**3 + 3*m**2*t + 2*x + 18 with respect to t.\nAnswer: -5*m**3*x + 15*m**3 + 3*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/30*-3*(-5)\/(-1). Solve 3*u - k*v = -0*u + 13, -5*u + 22 = -3*v for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 569.\nAnswer: 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4110853 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/11? (a) 7 (b) -1.1 (c) -0.4 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 87, 1, -4, -1.\nAnswer: -4, -1, 1, 87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 3)*(-2*v**2 + v**2 - 3*v**2) - v - 5*v - 33*v**2 + 31*v**2.\nAnswer: 6*v**2 - 6*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -65\/2 - 290*f + 135\/2*f**4 - 855*f**2 - 810*f**3.\nAnswer: 5*(f - 13)*(3*f + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 p when two letters picked without replacement from eeeevppevepep?\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-1\/4)*t)**(-1\/17)*t**2*t**7)\/((t*t**(3\/8)*t)\/t**(-3\/7))**(-48\/11) assuming t is positive.\nAnswer: t**(110949\/5236)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -11\/1395, -1, 26, -0.1 in descending order.\nAnswer: 26, 2, -11\/1395, -0.1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1103221 - 2?\nAnswer: -1103223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 15310 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -27? (a) -0.1 (b) 1.6 (c) 1 (d) 1.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 61503 to the nearest integer?\nAnswer: 248","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -101, -4, 0, -1\/10, -0.05, 0.7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -55702903 by 425213.\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -191\nAnswer: -1\/191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (2 - (6 + -2 - -3))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 - 5. Let h = -6 - j. Let g be (-3 - (-161)\/49)*-14. Which is the closest to g? (a) -0.2 (b) h (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*z + 1844370 = z + 493093. What are the prime factors of z?\nAnswer: 37, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 42 = -2*c, -5*c + 5*a - 75 = -0*c. Let o(k) be the first derivative of -k**4\/4 - 16*k**3\/3 + 6*k**2 + 11*k + 7. Is o(c) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000114755476 to seven dps.\nAnswer: -0.0000115","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 250?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 317618536 to the nearest integer?\nAnswer: 17822","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange s**3 + 2*s + 5*s**2 - 2*s**4 - 2 + 3*s**2 - 4*s**2 - 2*s**2 to the form g*s**2 + q*s**4 + r*s**3 + c*s + w and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-45)\/(-6))\/3*(30\/6)\/((-1)\/2).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 84 - 84 = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 24*m - 17*m - 343. Calculate the remainder when 138 is divided by m.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4\/35 - -51\/140. Suppose 10 = 2*d - 0*d. Which is the closest to g? (a) d (b) -2 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 93\/4021 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-2))\/(-3)*301\/86\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 0.2, -13, -5, -1\/4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -92, -90, -90, -92, -96, -102, -110?\n\"Answer: -w**2 + 5*w - 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11687834*b*x**3*z**2 - 7*b*x**3*z + 3*b*x*z**2 + b*z**2 + 35*b*z + x**2*z - 10*x*z + 1312 wrt x?\nAnswer: 70127004*b*z**2 - 42*b*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 + -14. Let g be 2\/k - 11004\/(-98). Suppose 3*u + 4*u = g. Is 17 < u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*f**3*o**3 - 2*f**3 + f**2 + 6720*f*o**3 - 10*f*o - f + 1183*o wrt o?\nAnswer: -42*f**3*o + 40320*f*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -f - f. Let b(v) be the second derivative of -v**4\/12 + 5*v**3\/3 - 10*v**2 + 2*v + 2. What is the units digit of b(f)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -426*u**2 + 621 wrt u.\nAnswer: -852*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (((-4)\/35)\/(48\/360))\/((-99)\/4389)\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes before 1:42 AM?\nAnswer: 3:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 6590 rounded to the nearest one hundred?\nAnswer: 6600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 99\/680996 and -139\/9193446.\nAnswer: 18386892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 251.9993796 - 252. What is n rounded to 4 dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -t - 4321, 4*g - 21394 = -2*t - 4140. Suppose 3*w + 10*w - g = 0. Suppose -3*m + 0*h = 3*h - 360, 3*m - 4*h = w. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*l - 17843 = -12*l + 237227. Is 27 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9446514 nanograms in grams?\nAnswer: 0.0000000009446514","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 129.7 at most -18\/1573?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 124*o - 124*o - 2*i = 0, 90 = -5*o + 13*i for o.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 14 * -1997\nAnswer: -27958","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14452633?\nAnswer: 13, 1111741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 86*d**3 + 4*d + 12 - 3*d + 2*d**2 - 51*d**3 + 196*d**3 - 10 in the form f + p*d + q*d**2 + r*d**3 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the first derivative of -g**4\/4 + 7*g**3\/3 + 11*g**2\/2 + 18*g - 1. Let i be p(9). Is 30 a factor of -6*(-7)\/((-21)\/i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 87*o**3 + 702*o + 6. Let i(d) = -174*d**3 - 1420*d - 13. Let s(h) = 6*i(h) + 13*r(h). Find the second derivative of s(j) wrt j.\nAnswer: 522*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-10))\/(((-408375)\/1250)\/(-297))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2723392 and 3248?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -24\/15841 + 27073085\/538594. Let r = a - -4\/17. Find the common denominator of (7\/140)\/(1\/107) and r.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -5*d - 3 + 32, -21 = 4*x - d. Let s be (-340)\/16 + (-1)\/x. Let b = s + 29. Calculate the remainder when 21 is divided by b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1052, 1011, 888, 641, 228, -393, -1264?\nAnswer: -2427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2566*f + 2965*f + 3531*f + 5887*f + 270*f**3 + 5892*f**3 wrt f?\nAnswer: 36972*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/35, -4, -3, -2\/31, -1\/5.\nAnswer: -4, -3, -1\/5, -2\/31, -2\/35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 - 1 - (-776)\/(-7 + -1). What is the tens digit of (996\/16)\/((-8)\/q)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c - 4. Calculate the remainder when k(-6) is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 401*g**2 + 2*g + 46?\nAnswer: 802","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 1, -75 in ascending order.\nAnswer: -75, -14, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2311*w + 1056 = 2311*w - 4578*w for w.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -8107, 2, -1\/4, -2\/9, 0.6, 3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 37.897 litres in millilitres?\nAnswer: 37897","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1097221 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4812637 + -4812716.66379. Let q = s + 0.19379. Let a = q + 79. What is a rounded to one dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**3 + 5*w**2 - 2*w + 5. Let z be (10\/(-35)*4)\/((-2)\/7). Determine o(z).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**0)**(-41))**(-1\/10) assuming b is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4626 and 7172.\nAnswer: 33177672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 41 + 3*l - 88 + 44. Give i(7).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes before 7:56 AM?\nAnswer: 11:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000001311949 to 7 dps.\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -62*t - 8. Let o(a) = -21*a - 3. What is -5*c(m) + 14*o(m)?\nAnswer: 16*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2898, 9165, 18802, 31809, 48186?\n\"Answer: 1685*a**2 + 1212*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 42*m. Let d(n) = -1287*n**2. What is s(d(x))?\nAnswer: -54054*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p + 21 + 79. Let c be -2 + -42*1 - 1. Calculate the remainder when p is divided by (c\/10)\/(1\/(-2)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((3 - 6)\/6)\/((42\/(-16))\/(-3)). Which is the closest to 0? (a) p (b) -4 (c) -14 (d) 0.15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, 4, -0.0608, 0.6 in descending order.\nAnswer: 4, 0.6, -0.0608, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 3, 120, 4.2, 1.1?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -11, -154\/2229, 3\/5, 15?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in u**2 - 26*u + 10*u - 25*u + 60*u - 19*u.\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 73 = 97. Calculate the smallest common multiple of v and 4.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 4 (b) 1.2 (c) 7 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**2. Let a(l) = 124*l - 5. Determine a(w(g)).\nAnswer: -124*g**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 59 and 767?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 137*t = 4491 + 562 - 1491 for t.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1310\/11 or 822?\nAnswer: 1310\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -35552244, -71104487, -106656730, -142208973?\n\"Answer: -35552243*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -31*k**2*q**2 + k**2*q + 97*k*q + 2*k - 2*q**2 + 16613*q - 3 wrt k.\nAnswer: -62*k*q**2 + 2*k*q + 97*q + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 624282 divided by 104047.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 10 = 3*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 - 2. Let s be (-3 - m)\/((-4)\/(-10)). Calculate the greatest common factor of s and 95.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t - 3. Let s be x(3). Let z be (9 - s) + (-2 - -3). Suppose -n - n = -z. Let h(v) = -v + 3. Determine h(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 20769 + -20597. Calculate the remainder when 683 is divided by c.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 112013 + 0?\nAnswer: 112013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l**4 + l**5 + l**4)*(-10 + 2 + 0)*(4 + 1 - 4) + (l**5 + 3*l**4 - 3*l**4)*(-350 + 344 - 176).\nAnswer: -190*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**3 - 12*z**2 + 28*z - 10. Calculate n(9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m = 4*m + 10. Let b = 0 - -1. Let n(g) = -b - 2*g + 2 + 3 + 3*g. What is n(m)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(171)*4 + sqrt(684) + 3 + (4*sqrt(76)*-5 + sqrt(76))\/sqrt(4).\nAnswer: -sqrt(19) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.31 - -11.69. Let r = -173 + 184.7. Let a = y - r. What is the third biggest value in -2\/9, -3, a?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:43 PM and 7:31 AM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ifzi when four letters picked without replacement from {f: 2, i: 2, z: 1, e: 1, a: 1}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 4 = 5*g, 11*g + q - 1 = 14*g. Suppose g = -0*s + 9*s - 27. Solve -s*b = -7 + 1 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19265830 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 + 3 = 5*o. Suppose -o*u + 94 = -10*i + 5*i, 0 = 2*i + 10. Is 15 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*a**2*w**2 - 9*a**2*w + 10408*a**2 + 27949*a*w**4 wrt w.\nAnswer: 4*a**2 + 335388*a*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3382 - 2246. What is the thousands digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a meter in centimeters?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/21*(-2394)\/(-133)?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -23203311 (base 6) in base 13?\nAnswer: -1c0c7b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve q**2 + 2*q - 3 = 0 for q.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -4\/5, 0, -903?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 18*u - 55. Does 12 divide b(17)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 - -3. Let t = 1859 + -1857. Let r be 0\/(6 + w) - t\/(-3). Sort -1\/9, r, 2 in decreasing order.\nAnswer: 2, r, -1\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 505 * 1.724.\nAnswer: 870.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/36539699 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - (-2 - -3) - -4) + -11.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3960.801 centimeters in micrometers?\nAnswer: 39608010","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a meter in millimeters?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 + 44065?\nAnswer: 44069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (((-6)\/3)\/(3 - 2))\/1. Let g(q) = 2*q**3 + 2*q**2 - 2*q - 2. What is g(l)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 - (-3 + -1 + 2). Suppose -7*r - 5*t = -z*r + 24, -22 = 2*r + 5*t. Which is smaller: -1\/6 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 4*x = 50, 3*d + 3*x + 4 = 34. Let j(i) = -i**3 + 15*i**2 + i - 14. Let l be j(d). Solve -4*w = -2*y + 8, 2*y - 5 = 3*w - l for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -637 or -632?\nAnswer: -632","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.02391? (a) -31 (b) -0.4 (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 165*b + 665. Give g(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4812 is divided by 3515?\nAnswer: 1297","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 118 = -5*v, 3*l = -4*v + 51 + 119. Let c be l - 4*(1 + -2). Suppose 9*b - c = 8*b. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -39.23629983 rounded to 3 dps?\nAnswer: -39.236","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -33470000 rounded to the nearest one million?\nAnswer: -33000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2033*p + 2123 wrt p?\nAnswer: -2033","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 154725630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 6*z + 340. Let q be g(-56). Solve 4*o + q = 0, -4*x - 5*o + 2 - 19 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llllllwllllgwulll. Give prob of sequence ww.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 5*g + 170. Let j be h(-33). Solve 0 = -r + 4, -j*w + 2 = 3*r + 5 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*a**3 + 8*a**3 - 3*a**3.\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 64525 < -341?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f + 2*j + 4, -3*j = 2*f - 21 + 3. Let g be 5 + (-3 - 0\/f). Suppose -3*c + 35 = 2*l, 0 = -2*c + g*l + 16 + 14. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 445458506.\nAnswer: 2, 2707, 82279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**2 + 8*m + 17. Determine c(8).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the first derivative of 214*a**2 + a - 27. Is y(12) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 4\/9, 0.9, -0.122 in increasing order.\nAnswer: -0.122, 4\/9, 0.9, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**2\/5 + 99*l\/5.\nAnswer: -3*l*(l - 33)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2071.81 and 0.2?\nAnswer: -414.362","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -24500 - -24496. Suppose -2*c - 7 + 3 = -2*h, 4*h = 2*c + 10. What is the closest to -0.1 in -3\/4, g, 0.1, c?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0\/(-1))\/(5 - 4). Suppose -3*y + 219 = 3*j, -3*j + l*j = -3*y - 243. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 243502 (base 6) in base 5?\nAnswer: 1142231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 0 + 28 = -3*h, -2*h + p = 18. Let k be 9\/12 + (654\/h - 6). Which is greater: k or -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f + 4 - 4 + (-3*f - 4*f + 5*f)*(3 - 3 + 1) + 2 - 2 - f + 4 + 2*f - 4 + (4 + 1 + 7)*(28 - 6*f - 28).\nAnswer: -74*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gcnwcbm. What is prob of picking 1 g and 1 n?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13 - -12.48. Let t = v + 0.02. Which is the second smallest value? (a) t (b) 2 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 21*h**2 - 13*h. Let j(u) be the second derivative of -11*u - 1\/2*u**3 + 0*u**2 + 5\/12*u**4 + 0. Calculate 6*b(p) - 26*j(p).\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is b5 + 4?\nAnswer: b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -35*b*n**2*w - 5*b*n*w**2 + b*n*w + 20*b*w**2 - 5657*b - 5945321*n**2*w**2 - 21*n wrt n?\nAnswer: -70*b*w - 11890642*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 - 5. Let f(q) = 5*q**3 - 2*q + 1. What is the tens digit of f(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21101222021201 - -11?\nAnswer: 21101222021212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 55 and 55?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 957*b - 164*b - 1393 + 694 + 699 to s + n*b and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 157\/1836 and 5*(546\/490 - 2).\nAnswer: 12852","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -54*z**2 - 30*z + 18. Let h be o(-18). Is 23 a factor of 2\/(-10) - h\/90 - 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - 6756*f = -6753*f + 84, a - 8*f = 196 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -320184 (base 11) to base 12\nAnswer: -208808","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/45 - 5\/(-6)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37.48705nm in millimeters?\nAnswer: 0.00003748705","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6642571?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - p - 2*p = 13, 2 = 2*p. What is the hundreds digit of q\/(360\/(-185) + 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -g + 5*g. Let z = 169 - -44. Let k = z - 209. What is the greatest common divisor of k and g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4967.04111 to the nearest 100.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 191\/210 and -1\/150?\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n - 6. Let u be r(3). Let s = u - -48. Let p be (-2)\/10 - (-1216)\/80. What is the greatest common divisor of s and p?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 12784?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -311 - -311.3. What is the closest to 1\/3 in 2\/5, t, -1\/7?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20522337 to the power of 1\/2, to the nearest integer?\nAnswer: 4530","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 2*f**2 + 2*f. Let p be (-2)\/4 - 6\/4. Let w be x(p). Suppose w*a - 7796 = 3*t, 0 = -2*a + 2*t - 1171 + 5069. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.111987661 rounded to five decimal places?\nAnswer: -0.11199","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19104?\nAnswer: 2, 3, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in eleven halves of a centimeter?\nAnswer: 55000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/72518938 and 29\/11?\nAnswer: 797708318","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-14)\/120)\/7*(-48)\/12.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -242*t + 1267. Let x(v) = 727*v - 3802. Let d(z) = -8*p(z) - 3*x(z). Let l(m) = 9*m - 47. Let r(c) = 2*d(c) + 55*l(c). Differentiate r(g) wrt g.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9787467.0000016 + -9787457. Let d = -10 + u. What is d rounded to 6 dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 2 + 0 + (12 - 23 - 11).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together 9193 and -0.3.\nAnswer: 9192.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 53 (base 9) to base 3\nAnswer: 1210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x**3 + 0*x**3 + 0*x**3)*(0*x**2 - 2*x**2 + x**2) - 4*x + 4*x + x**5 - 3*x**4 + 107*x**3 - 107*x**3 + 2*x**5.\nAnswer: 4*x**5 - 3*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o + 12*o = 15, o + 17 = n. Suppose 5*g - 5 = n, -4*j + 2*g - 2 = 0. Solve -j*h - 14 = -4*m, -8 - 13 = 4*m + 5*h for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 4, t: 14}. What is prob of sequence vv?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65 = 2*g + n, g + n - 4 - 29 = 0. Suppose g*z - 12 = 28*z. Let w(d) = 5*d - 2. Let s be w(1). Solve 0*k - z = s*k, 3*k = 4*f + 17 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6705 + -6760.42. What is w rounded to 0 decimal places?\nAnswer: -55","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19140?\nAnswer: 2, 3, 5, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**2 - j + 21. Let z be k(0). Let q be (1 + -583)*(30\/(-4) + 7). Let s = q - 123. Calculate the greatest common divisor of z and s.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00032248021 to 6 dps.\nAnswer: -0.000322","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2*q)*(-7 - 2 + 27)*(-3 + 4 + 1).\nAnswer: 72*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-1 + 3\/5)*(-620)\/576 and (561\/(-176) - 3)*2?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5157545\/123 - -41931. Find the common denominator of 31\/9 and x.\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 16) to base 13\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 14) in base 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 5*i**2\/3 + 4420*i\/3 - 1142185\/3 = 0?\nAnswer: -1093, 209","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -5*k**3 - 13*k**2 - 15*k - 15. What is a(-1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000491576449 rounded to 7 decimal places?\nAnswer: -0.0004916","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4662 - -3329. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -3238*w + 29108. Give r(9).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-3\/2)*f)**15)**(-17\/6) assuming f is positive.\nAnswer: f**(85\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((180\/35)\/(-2) - 0)*882\/189?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(sqrt(196) + (-2*sqrt(196) - sqrt(196)) - sqrt(196)))\/(5*sqrt(64)))\/(-5*(2*sqrt(28) - ((sqrt(448) - (-2*sqrt(448) - sqrt(448))) + sqrt(7)))).\nAnswer: 9*sqrt(7)\/1450","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*l - 7*l - 16*l + l**2 to the form t + p*l**2 + j*l and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + o = 16 + 41, 5*o = 5. Suppose 10*i - y*i = -168. Calculate the remainder when i is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 46\/3 and 23\/14.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 106304 and 9513.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 61 divided by -557545.\nAnswer: -61\/557545","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 2 a when three letters picked without replacement from ssasssassssssa.\nAnswer: 33\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iqii when four letters picked without replacement from {q: 1, i: 14}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -5*p. Let x(m) = 268*m + 60. Let s(h) = -267*h - 45. Let w(v) = 4*s(v) + 3*x(v). Give f(w(d)).\nAnswer: 1320*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -470 < -0.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-3\/10)\/o**(-4))\/(o**(2\/5)\/o**(-2)))**(-27) assuming o is positive.\nAnswer: o**(-351\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 21080601 (base 9) to base 11\nAnswer: 5803125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -14*q - 1. Suppose -3*b + 2*b - 5 = 0. What is the remainder when g(b) is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -36, 35, -3, 0, -332, -4 in decreasing order.\nAnswer: 35, 0, -3, -4, -36, -332","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 36213?\nAnswer: -1\/12071","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0, 47, -3 in decreasing order.\nAnswer: 47, 4, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -39685*l + 79892*l - 39581*l + l + 0 + 0 + (2 - 3 + 0)*(0*l + 0*l - 2*l).\nAnswer: 629*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1896 and 782772?\nAnswer: 123677976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 19312364*b**5*c + 31*b**2*c - b**2 - 8*b*c - 8*c + 22 wrt b.\nAnswer: 1158741840*b**2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 2*t - 0*t + 1200, f + 3*t - 240 = 0. What is the hundreds digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 3*d - 15, -3*g - 5*d - 7 = -52. Solve g - 27 = 6*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {w: 6, x: 4, q: 1, m: 5}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -67 (b) -1\/30 (c) 58 (d) -2\/3 (e) -9 (f) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 - -5. Solve 3 = -p - a for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 667919 is divided by 8452.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 498, 1113, 1846, 2703, 3690, 4813?\n\"Answer: s**3 + 53*s**2 + 449*s - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1391674 + -212.341.\nAnswer: 1391461.659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 3*k + 2 = -3, -33 = 3*h + 3*k. Let l(b) = -b**3 - 8*b**2 - 10*b - 1. What is the remainder when 57 is divided by l(h)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 - 4?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 373*z**2 + 230*z**2 - 57*z**2.\nAnswer: 546*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the first derivative of -d**4\/4 - 2*d**3 + 4*d**2 + 7*d - 1. Let i be f(-7). Does 11 divide 42 + i + (-3)\/(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (14\/(-21) - 14\/(-3))\/2. Suppose 0 = i*v + 5*v + 707. Let s = v + 178. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 26, -0.7, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(2*-1)*158\/237.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 3 = -0. Which is the nearest to -0.1? (a) l (b) -2\/9 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 2 - t - 1 + 0. Let a(l) be the third derivative of -l**5\/30 - 7*l**4\/12 + 7*l**3\/3 + 575*l**2 + l. Calculate -3*a(o) + 42*y(o).\nAnswer: 6*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 20791 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 442 (b) -2\/7 (c) 3 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (2\/26)\/(172\/(-2236))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 50 = 4*d. Suppose h - d = 10. Solve 7*m + h = 2*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a = 4*b - 24 - 9, b - 17 = 3*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 31 = 5*j, 0*j - 5*u = -2*j - 14. Suppose j*b - 12 = -3. Suppose 2*s + o = b*s - 125, s + 5*o = 137. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -18*b - 697. What is z(-43)?\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -23170, -92204, -207260, -368338, -575438?\n\"Answer: -23011*l**2 - l - 158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 93, 2, -14, -9592 in descending order.\nAnswer: 93, 2, -14, -9592","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2*y - 1)*(-y**3 - 4*y**3 + 4*y**3) - 2*y**4 + y**4 + 0*y**4.\nAnswer: y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -2*t**3 - 9*t**2 - 2*t + 3. Let y(l) = l**3 + 9*l**2 + 9*l + 4. Let b be y(-8). Let x be u(b). Let k(q) = q**3 + 4*q**2 - 6*q - 7. Give k(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the third derivative of 0 + 1\/6*p**3 + 0*p - 1\/12*p**4 - p**2 + 13\/60*p**5. Let g be j(1). Calculate the greatest common factor of g and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 4*z - 75 = 0, -5*y - 283 = z + 2*z. Let v = y - -92. Is 95\/3 at least v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -43 - 0\/((-6)\/3). Let i = -89\/2 - w. Let k = -36 + 109\/3. Put i, k, 1 in descending order.\nAnswer: 1, k, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(176) + 1 + sqrt(176))*4 + -1 + -6*(((sqrt(176) - (sqrt(176) + 0 + sqrt(176)))*-2)**2 - ((sqrt(176) - (sqrt(176) + -1)) + 5)).\nAnswer: -4189 + 32*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -533 divided by 49.\nAnswer: -533\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2 - (0 - -2) - 1. Let g be 33\/a*30\/12. Let p = g + 16. What is the closest to -1 in 1\/3, p, 5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 divided by 7232?\nAnswer: 23\/7232","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a centimeter in micrometers?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 145 is divided by 51.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 241*b**4 - 78*b**2 + 12*b**4 + 28*b**4 - 38*b**2 wrt b.\nAnswer: 6744*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -24 - -12. Let g = b - -6. Let v be 2*(-1)\/4*g. Solve v = x + 5 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -4*k + 3. Let m be n(2). Let y be ((-3)\/(-4))\/((-9)\/(-24)). Sort -3, y, m in descending order.\nAnswer: y, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(2\/9))**(-1\/2)\/(m*m**(1\/4)*m\/(m*m*m**(-5)*m)) assuming m is positive.\nAnswer: m**(-157\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3426 = 63*f - 27444. Is f a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 divided by 10604?\nAnswer: 359\/10604","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -555, -2123, -4703, -8295, -12899, -18515?\n\"Answer: -506*l**2 - 50*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19 - ((-3 - (-2 + 6)) + 0 + 13).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (u**2 + 2*u**2 - 2*u**2)*(5 - 6 - 31*u + 0) in the form o + h*u**3 + q*u**2 + d*u and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 767 + 3819 = 0. Suppose p = 6*g + 115. Let -3*s**3 + 5*s**4 - 73*s**2 + 21*s**3 + g*s**2 + 15*s + 7*s**3 = 0. Calculate s.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76) + -4)**2 - (sqrt(19) - sqrt(19)*1*2).\nAnswer: -15*sqrt(19) + 92","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 3*u**2 + 47*u + 72. Let m be a(-21). What is the greatest common divisor of m and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1712211163?\nAnswer: 13, 19, 53, 10061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 2*w + 15 = 0, -20 - 17 = -3*g + 2*w. Suppose 2*h + 3*k - g = 0, k + 2*k = 5*h - 80. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 35051?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -136*m**2 - 57*m + 503. Let n be v(31). What is n rounded to the nearest 10000?\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2\/13 + 12\/91. Let u be (-12)\/(-144) + (-1)\/(-4). Put x, u, 2\/13 in decreasing order.\nAnswer: u, x, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 2 y when three letters picked without replacement from hvhvhhyyj.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -257 + 519 - 262 - 937*y in the form q*y + w and give q.\nAnswer: -937","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/18*317 + (-4)\/(-18). Which is smaller: a or -34?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 10*h**2 + 9*h - 1. Let p be o(1). Suppose q = 4*z - 4*q + 21, 2*z - 4*q = -p. Calculate the greatest common divisor of z and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, -209, -3, 6, 2\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 109477?\nAnswer: 83, 1319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*z - 6 + 18*z + 5)*(105 + 28 + 12).\nAnswer: 1740*z - 145","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130 = -5*o - 25. Let m = 26 - 15. 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: Find r, given that 5*r**3 + 41040*r**2 + 572545*r - 8480790 = 0.\nAnswer: -8194, -23, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 42580222951 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16646 = -19*h + 1142. Let w = 819 + h. Solve 0*f + w*f - 6 = 2*d, d = 3 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3588 + 3588. Which is greater: 515 or r?\nAnswer: 515","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 86 (b) -1\/6 (c) 19 (d) 0 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 386922946?\nAnswer: 2, 193461473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16135 + -15976. Solve 39*n + 960 = y*n for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -3\/28 (b) 21966 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 2*u**2 + 0*u**2 - 3*u**2. Let i(v) = -4*v + 0*v + 2*v + v. Calculate l(i(m)).\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9245.313ns to minutes.\nAnswer: 0.00000015408855","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4435 divided by 5?\nAnswer: 887","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 x, and 1 p when three letters picked without replacement from {p: 3, i: 2, x: 3, k: 3, y: 1, b: 2}.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 120*0.035.\nAnswer: 4.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 1 - 13*v + 35*v - 11*v - 12*v. Let h(j) = 2*j**2 - j + 1. Calculate b(o) - h(o).\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*-5*(sqrt(288) + 0)*1 - (2*1*sqrt(288) + sqrt(288)*-1 + sqrt(288) + 4 + -3)) + -3)**2.\nAnswer: 672*sqrt(2) + 14128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the first derivative of l**4\/12 + l + 2. Let t(i) be the first derivative of w(i). Let n(r) = -5*r**2. Determine t(n(j)).\nAnswer: 25*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-2*j - 2*j + 5*j)*(-2*j + 3*j - 7*j) + 4 - 4 - 2*j**2)*(j - 4 + 4) as n*j**3 + q*j + t*j**2 + v and give n.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87*x + 3*m = -91*x + 11, 12 = -4*m for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 1725?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*r + 6 = 116. Solve r*l = a + 3 + 13, 5*l + a - 24 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 35 = -5*j, -2*j + 15 = -3*h - 0*h. Let n(r) = 14*r**2 - 6 - 7*r - 39*r**2 + 17*r**2. Let a(x) = 7*x**2 + 6*x + 5. Give j*a(d) + 5*n(d).\nAnswer: 2*d**2 + d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -5 - (4 + 3 + 0).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.519 - 1.019. Which is the closest to -1\/2? (a) 2 (b) 2\/9 (c) n (d) -4\/19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*d - 3*d + 3*d + (3 - 4 + 2)*(d + 0 + 0) - 6*d - d - 5*d - 20*d - 8*d + 2*d)*(2*d + 4*d - 5*d) to the form u*d + r + q*d**2 and give q.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -6 + 2 - (-1 - 8). Let p(i) be the third derivative of 3\/40*i**m + 0 + 1\/12*i**3 - 1\/8*i**4 + 2*i**2 + 0*i. Determine w, given that p(w) = 0.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.121631616 to two dps.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/(-6) + 4\/(-15). Let k = 0.9 + -5.9. Let z = 17 + -17.2. Which is the closest to z? (a) m (b) k (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((174\/(-8))\/3)\/((-3588)\/14352)\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9140*z**2 + 18281*z**2 - 9108*z**2 + 34 + z in the form w + v*z**2 + t*z and give v.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2106585?\nAnswer: 3, 5, 13, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -618*o = 3*q - 623*o + 8, -q = 4*o - 3 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 3*r**2 - 7*r + 1. Let o be a(6). What is the third derivative of -o*q**5 + 63*q**2 + 19*q**5 - 10*q**5 wrt q?\nAnswer: -3480*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, s: 4}. Give prob of sequence sd.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s - 13. Let g(b) = -8*b - 31. Let v be g(-3). Calculate a(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 887 + -887. Factor q - 2\/5*l**2 + 4\/5*l.\nAnswer: -2*l*(l - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -64690\/9 - -7180. Calculate the common denominator of (-5 + 8)*584\/144 and b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11\/40 - ((-58985)\/376 + 157)?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is e8 + a4?\nAnswer: 18c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2178 by 6.\nAnswer: -363","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-29)\/28 + 1233\/(-11508)\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*n + 4*n + t + 13 = 0, 11 = -2*n - 5*t for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/23274 and -83\/178434.\nAnswer: 535302","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 3881*x + 54424. Determine g(-14).\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i**2 - 2*i**2 + 3*i**2)*(0 + 1 - 3)*(2*i**2 - 156*i + 156*i - 3).\nAnswer: 4*i**4 - 6*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(150) - 2*sqrt(150))*6 + -5*-2*sqrt(150))\/(3*sqrt(240)\/sqrt(5)).\nAnswer: 5*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*z + 57 + 37 = -1 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 6}. Give prob of sequence uu.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-6)\/(-9))\/(260\/30)*(4 - 94). Is y at least as big as -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.15 times -0.1105?\nAnswer: -0.016575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9385.\nAnswer: 5, 1877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4819612 by -4819612.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4.659 + 2.159. What is the third smallest value in b, -2\/9, -2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - 2*i - 12, 2*y - 4*i - 17 + 5 = 0. Let p(v) = y*v - v + 0*v + 14. Let a be p(-6). Solve -a = -3*k - 2 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26229498?\nAnswer: 2, 3, 101, 43283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -10*q**2 - 2*q - 1. Let p be (-32)\/(-20)*80\/(-64). Give s(p).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the third derivative of -3*u**6\/5 - 19*u**5\/60 - u**4\/4 + 25*u**3\/3 - 2288*u**2. What is the second derivative of a(f) wrt f?\nAnswer: -432*f - 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**(-1\/7)*g*g)\/g**11)**(-15)\/(g**10\/(g\/(g\/g**(2\/41))*g*g*g))**(-25\/6) assuming g is positive.\nAnswer: g**(84275\/574)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 11*y - 8. Let i be k(-7). Let u = i - -85. Suppose -g + 44 = 3*o, -77 = -2*g + 5*o - u*o. What is the remainder when 163 is divided by g?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15*x**5 - 3*x**2 + 1?\nAnswer: -900*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, 3\/5, -2, -23\/7, 1?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**3 - 3*g**2 - 493*g - 21. What is y(-21)?\nAnswer: -252","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**2 + m + 3. Let x be a(1). Solve 3*t = x*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 37?\nAnswer: 5\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 9, h: 3}. What is prob of sequence hhjh?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*f**3*y**2 + 31*f**3*y - f**2*y**2 - 76*f**2*y wrt f?\nAnswer: 18*y**2 + 186*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 331 (base 10) to base 3.\nAnswer: 110021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1061, 401, -259, -919, -1579?\n\"Answer: -660*w + 1721","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -139334, -139341, -139348, -139355, -139362?\n\"Answer: -7*o - 139327","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 38728 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-39)\/o*o)\/(o**(-18)*o) assuming o is positive.\nAnswer: o**(-22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = h - 4*j + 38, 3*h = 5*j + 14. Solve -5\/3*c**h + 0 - 2\/3*c**2 + 0*c - 1\/3*c**4 + 2\/3*c**5 = 0.\nAnswer: -1, -1\/2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1092421961 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -39\/40 and (-608)\/4560*327\/(-224).\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 96.1 - 95.6. Let i = -64\/3 + 21. Which is the closest to 0.1? (a) i (b) -2\/7 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the second derivative of -5\/12*g**4 + 0 - 2*g - 1\/2*g**3 - 3*g**2. Let x(b) = -11*b**2 - 7*b - 13. Give -9*p(w) + 4*x(w).\nAnswer: w**2 - w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v*v**(-3\/2)*v)*v)\/v)\/(v\/(v*v**(-12)\/v*v))*(v**(-6))**(2\/21) assuming v is positive.\nAnswer: v**(-169\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -7a5223a (base 11) in base 6?\nAnswer: -1221540153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*-3016.\nAnswer: 12064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 6*g + 7*g = -34, 46 = -c + 5*g. Let k = -47837\/10936 - 1\/1367. What is the common denominator of (-474)\/c*2\/6 and k?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -114.9 + 110.644. Let w = -4.29514 - j. Let p = -0.035 - w. Round p to 4 decimal places.\nAnswer: 0.0041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -76*111\nAnswer: -8436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7922 and 16?\nAnswer: 63376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-139*w**2 - 141*w**2 + 272*w**2 + (0*w - w - w)*(2*w - 4 + 4))*(-w - 2 + 2*w - 2*w).\nAnswer: 12*w**3 + 24*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/60)\/(((-30)\/20)\/((-30)\/16))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4254698?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-325)\/1727 + (136\/22 - 6). Let f = -466\/785 + a. Let x(k) = k**3 + 4*k**2 - 5*k + 7. Let p be x(-5). Do p and f have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -b9c0 - c?\nAnswer: -b9cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*(d**(-2\/7)\/d)\/d)**(-4) assuming d is positive.\nAnswer: d**(36\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, t: 2, r: 1, c: 1}. What is prob of picking 2 t and 1 c?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 255605214.\nAnswer: 2, 3, 19, 821, 2731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13876 - -15034. Is 1157 at least as big as k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k**4\/7 + 4650*k**3\/7 - 23301*k**2\/7 + 37308*k\/7 - 18660\/7 = 0 for k.\nAnswer: -1555, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*c + 46*c - 973360. List the prime factors of c.\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (-41 + 81 + -15 + 41)\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9253b (base 12) in base 8?\nAnswer: 564577","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let v = -66042 - -95869. List the prime factors of v.\nAnswer: 7, 4261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-27 - 1)\/2 + (-173 + 563 - 267).\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wugpllgjlwugu. Give prob of sequence ujup.\nAnswer: 1\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in three eighths of a kilogram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9351706 and 546.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -555 (base 6) to base 11\nAnswer: -186","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -28*b**3 + b**2 - b. Let y be s(-1). Solve -5*g = g - y for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4\/(-2) + 1)*-2. Calculate the smallest common multiple of 1 + (4 - y) + 2 and 2\/(-3) + (-24)\/(-9).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 3*v. Let u(b) = -9*b**2 + 15*b - 15. Let y(s) = -2*s**2 + 4*s - 4. Let n(i) = 4*u(i) - 15*y(i). Give c(n(z)).\nAnswer: -18*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 110 + -135. Find the common denominator of (-83)\/(-4)*10\/q and 44\/7.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nae when three letters picked without replacement from {n: 3, e: 6, f: 2, a: 4}?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r**2 + 2*r**2 + 0*r**2)*(116*r**2 + 42 - 42).\nAnswer: -116*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, -1\/5, -812\/1523?\nAnswer: -812\/1523","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13 + 18. Suppose -t*q + 7 = -3. Suppose 4*n = -5*y - 4 - 13, -5*n = -5*y - 35. Calculate the least common multiple of q and n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 60aa06 (base 11) to base 10\nAnswer: 980832","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, 82, -2, -1, -3, -75 in ascending order.\nAnswer: -75, -3, -2, -1, 0, 4, 82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -38*c**5 - 3872*c**3 - 214*c**2 + 26*c + 23 wrt c.\nAnswer: -2280*c**2 - 23232","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -157, -128, -99?\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*o + 1255 - 1255)*(14 + 8 - 2) in the form l + i*o and give i.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.2 (b) -12\/11 (c) -3 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2010101001 - 1?\nAnswer: 2010101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 996 = -d + 5*s + 917, -4*d - s = -20 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rqrrqmmjrrrmllrrrn. What is prob of picking 3 l and 1 q?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.0215 and 2.8?\nAnswer: 0.0602","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2\/3*r**4 - 28\/3*r**2 + 0 - 14\/3*r**3 - 16\/3*r = 0. Calculate r.\nAnswer: -4, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (4 - 192)\/((-3)\/6) is divided by 54.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.948779 * -0.93.\nAnswer: -2.74236447","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 2*c - 14 = 0, -84*x + 79*x - 9*c = -55 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -35880551*z + 316679947 wrt z.\nAnswer: -35880551","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2409459 and 312?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the first derivative of -9*s**3\/7 + 36*s**2\/7 - 48*s\/7 + 5. Solve l(f) = 0 for f.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/(4\/25) + (-24)\/6. Let w be 276\/x - 4\/28. Suppose 5*y - 4*y - 3 = 0. Put 1, y, w in descending order.\nAnswer: w, y, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 - 8*k**2 + 4*k + 1. Let y be j(8). Let c be (-4)\/22 - 27\/y. Sort 0, c, 4 in ascending order.\nAnswer: c, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 888256945?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/28 and 61\/82840.\nAnswer: 579880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27966870 is divided by 1543?\nAnswer: 1538","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -28 - -16. Let b = 18 + o. Find the third derivative of 2*d**6 - 5*d**b + d**6 - d**2 wrt d.\nAnswer: -240*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 + 0 + 1)*(-4*f + 14*f + 4*f) + (0 - 5 + 3)*(-6*f + f + 8*f) - 3 + f + 3 to j*f + s and give j.\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let p = -22 - -15. Sort p, 0.5, 3\/2.\nAnswer: p, 0.5, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8617*u**2 + 4250*u**2 - 4*u**4 - 2 - 970*u**3 + 4367*u**2 to w + g*u + q*u**2 + x*u**3 + j*u**4 and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the second derivative of -5*x**3\/6 + 2*x. Let n(d) be the second derivative of d**3\/6 - 14*d. What is i(n(w))?\nAnswer: -5*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65557184?\nAnswer: 2, 7, 11, 53, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: 17169 divided by -177\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15589387.\nAnswer: 11, 1417217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x + 1. Let t(n) = -3 + 4 - 1 - 1. Give -a(l) + t(l).\nAnswer: l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/11, -1\/6, -1984\/75?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0779055 to four decimal places.\nAnswer: -0.0779","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 - -7421?\nAnswer: 7425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -25*v**2 + 15*v - 7088?\nAnswer: -50*v + 15","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -18 + 56. Suppose -3*l + 5 = 5*s - 0*s, -5*l = 5*s - 15. Suppose 2*f - 3*f + 37 = 2*z, 2*z - 55 = l*f. What is the remainder when t is divided by z?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 719704 = 3*r, 49*l - 1199508 = -5*r + 47*l. Round r to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tjkjf. Give prob of picking 2 j.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*m + i - 12 = -m, 11794*i + 10 = -m - 11800*i + 23598*i - 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 121419460 divided by -5?\nAnswer: -24283892","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42660.\nAnswer: 2, 3, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + ((sqrt(112)*-2 + -1 - sqrt(112))*4 - ((sqrt(112) - (-1 + sqrt(112) + 0 + sqrt(112) + sqrt(112) - sqrt(112))) + -4))*-2)**2.\nAnswer: 1232*sqrt(7) + 54257","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3 and 1011.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.409778 and -353.083.\nAnswer: -353.492778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6603 or 6611?\nAnswer: 6611","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 19 = -39. Put f, 3, 1, -4 in decreasing order.\nAnswer: 3, 1, -4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 32*i**2 - 66*i**2 - 38*i**3 + 41*i**2 wrt i?\nAnswer: -228","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00002824 to 6 dps.\nAnswer: -0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*a + 7*a**2 - 10*a)*(5*a - a - 2*a).\nAnswer: 14*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16, -127, -418, -857, -1444?\nAnswer: -2179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 96066619 to the power of 1\/3, to the nearest integer?\nAnswer: 458","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wxpyzxxwxxxz. Give prob of picking 1 z and 1 w.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -17.73 (b) -0.2 (c) 0.2 (d) 5 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -7 + 4 + (1\/(-2))\/((-2)\/20). Solve -5*l = -2*c + 5, -o*l + 3*c - 13 = -0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4982.29*19\nAnswer: 94663.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -5*k - 17. Let o be j(-4). Suppose o*d + 2*d - 45 = 0. What is the second derivative of 106*r**3 - 14*r - 92*r**3 - d*r wrt r?\nAnswer: 84*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 689762 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: Sort -0.31, 32, -0.2, 7, 0.07.\nAnswer: -0.31, -0.2, 0.07, 7, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.4 + -2. Let o = 0.45 + 3.95. Let d = o - 4.4. Which is the second biggest value? (a) m (b) d (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the first derivative of 3*w**2\/2 + 648. Let k(i) = 518*i**2. Calculate l(k(f)).\nAnswer: 1554*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.1 - -3.1. Let f be (-216)\/(-324) - (-60)\/(-63). Which is the nearest to f? (a) j (b) -0.11 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in eighty-one halves of a millisecond?\nAnswer: 40500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -54616.15 to the nearest 1000.\nAnswer: -55000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 + 8. Sort 0, q, 1\/3 in descending order.\nAnswer: q, 1\/3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 442*u + 445*u - 1329*u - 15*u**2 + 442*u. Let k(y) = -7*y. Determine t(k(o)).\nAnswer: -735*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4264? (a) -222\/11 (b) 1 (c) 0.1 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -7125.761488 to 1 decimal place.\nAnswer: -7125.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 0*b**5 + 4*b**5 - 5*b - 14*b**5 wrt b?\nAnswer: -200*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or 92449?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = y - 3*y. Let a = 427\/20 + -108\/5. What is the biggest value in y, -0.3, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 37458731 and 37458732 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -7*n**2 - 3*n. Let f be (-8)\/12 + (-64)\/12. Let g(y) = 8*y**2 + 4*y. Suppose 3*v = -2*v + 5*m - 35, 0 = -4*m. Determine f*g(i) + v*c(i).\nAnswer: i**2 - 3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31816.71391328 + -0.025.\nAnswer: -31816.73891328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -49*b + 301. Give n(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -21.1 + 20. Let y be 101 - ((-4)\/(-6))\/(2\/6). Let c = -99 + y. Is c >= d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3*1 + 5 + -4. Suppose -56 = -j + u*l, 2*j + 3*l - 112 = -0*j. Let f be (-4)\/14 + 24\/j*31. Calculate the highest common divisor of 13 and f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:04 PM and 5:13 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3335377 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -167.71 - -167.709988161. What is j rounded to 7 dps?\nAnswer: -0.0000118","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*q**2 - 1 - 3*q**3 - q**2 - 4*q**3 + 0*q**3 to w*q**3 + c*q**2 + s*q + t and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3174 + -3176. Put 9, 1, -4, 3, l in descending order.\nAnswer: 9, 3, 1, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the second derivative of -29*b**5\/10 - 1559*b**2 + 4782*b. Differentiate l(c) with respect to c.\nAnswer: -174*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22 - 2 - 17)*(2 - 3 + 3)*(-2*t - 6 + 6).\nAnswer: 164*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, -0.11, 0.2, 7.3, 2\/69 in ascending order.\nAnswer: -0.11, 2\/69, 0.2, 7.3, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) -2 (c) 5\/3 (d) 0.3 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -209\/7 + 2797\/70. What is the common denominator of g and -49\/20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*z - 4*x + 48, -2*x - 2290 = 4*z - 2230 for z.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30552.09 litres to millilitres.\nAnswer: 30552090","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes before 8:40 PM?\nAnswer: 9:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 + 24e86e?\nAnswer: 24e869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1018098 - 4*i**2 + 1018098.\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3157289 is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 80?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27, -52, -79, -108?\nAnswer: -139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -68*f**2 - 55*f + 20*f**2 + 19*f**2 + 18*f**2 wrt f.\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2013323 and 104?\nAnswer: 16106584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 538*c - 1064. Let d be h(2). Let s(k) = -k**3 + 13*k**2 - 36*k + 285. Calculate s(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.5432 to 1 dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in twenty-six fifths of a meter?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16686*o + 16687*o + 76 + 23 to the form m*o + n and give n.\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -1641*j + 3283. Let d be p(2). Which is smaller: 9\/1085 or d?\nAnswer: 9\/1085","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 10*w**2 - 241*w + 31. Let n be s(24). Solve 0 = n*b - 15 - 20 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*p - 4*p + 2*p)*(-2*p + 3*p - 2*p).\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.16? (a) -0.4 (b) -5 (c) 0.3 (d) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2859, 3159, 3459?\n\"Answer: 300*c + 2559","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 168*y + 1524 = 165*y. Let c = -505 - y. Solve -x - 3*x - 3*s + 26 = 0, c*x = 2*s + 11 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2299 - 1072. Let k = 10 + -16. Is (2\/k)\/((-1)\/q) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.04 in -29, 3, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in six fifths of a milligram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 28923010657 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -187*f + 547*f = 7560 for f.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -126*z**2 + 212*z + 1204. Give v(-5).\nAnswer: -3006","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1\/8)*q)\/((q\/(q**(-8)\/q*q))\/q) assuming q is positive.\nAnswer: q**(-57\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -363*s**4 - 512 wrt s?\nAnswer: -1452*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1*3*(-1)\/1. Let f(v) = -9*v + 5. Let r be f(0). Solve -4*u + r = -j*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**3 - 22*v**2 - 13*v + 27. Let x(l) = 2*l**3 + 46*l**2 + 26*l - 53. Let n(k) = -14*q(k) - 6*x(k). Let n(g) = 0. What is g?\nAnswer: -15, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 206\/5 in 0.5, 6, 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3394, 4, -0.2.\nAnswer: -0.2, 4, 3394","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*j + 5*j - 3*j)*(169227*j**3 - 83861*j**3 - 78009*j**3) + j**4 + j**4 + j**4)*(0 - 1 + 2).\nAnswer: 14717*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -21 (b) 49\/5 (c) 86\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 4 = -4*v, 21 - 3 = -3*b - 3*v. Let x be ((0 - -4) + b)*-1. Suppose x = -5*p - 14 + 119. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes before 6:21 AM?\nAnswer: 8:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1276 and 2488316?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.63 - -0.37. Which is the second biggest value? (a) 2\/9 (b) -0.1 (c) -0.3 (d) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -144\/47 (b) -2 (c) -0.31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -767*q - 19900*q - 413340 for q.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 399 - 264. Suppose d - 27 = -l, 5*d + l - v = 4*l. Suppose d*s + 20 = 31*s. Solve 6 = -3*y + s*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {k: 7, l: 4}?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -0.2, 98, 0, 5\/3, -97, 2, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -5*p - 5, -p + 4*w = -6*p. Let o(a) = -6 - 12 + 9 + p - 21*a. Let m(r) = -10*r - 2. Determine 5*m(n) - 2*o(n).\nAnswer: -8*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -476 divided by -238?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(1\/10)\/a)\/a*a**(-1\/7))**(-14\/11) assuming a is positive.\nAnswer: a**(13\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 14\/(-63) - (-227)\/9. Let m = z - 13. Suppose -c + 0*s - 3*s + 28 = 0, 0 = 4*s - m. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5\/71, 5, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3448 divided by -173?\nAnswer: 3448\/173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from noxxcxxctxtdcxnxnxox. What is prob of sequence dd?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -636358 = -4*w - 4*n - 636386, 3*w - n = 19 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes before 4:42 AM?\nAnswer: 7:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(700) + -5 - sqrt(700)) + 3 + -4*(-1 + sqrt(700))*-2 + 5.\nAnswer: -15 + 80*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 8001*i**2 - 8*i - 20. Let c be s(10). Round c to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fbf. What is prob of picking 1 f and 1 b?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -269115?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + 2.3. Let p = -57 + 57.5. Sort p, 0.2, r.\nAnswer: 0.2, r, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 40349510?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tddddatbb. Give prob of sequence db.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from keekkkkkbbkkkekd. What is prob of sequence ebek?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0*(-2 - (-5)\/3). Solve 6*p - 3*p = w for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -6, 8*f + 4 = -a + 4*f. Differentiate -z**4 + 3*z**a - 2 - 7*z**4 with respect to z.\nAnswer: -20*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 + 0 - (-381)\/(-64))*38*(-40)\/(-1140).\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 52 = 5*b + 5*f, -3*f = -3*b + 12. Suppose 8 = 2*l + 3*r - 12, -l = -3*r + b. Solve 0 = -2*w - l*q, q = 5*w - q + 12 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**2 - 4*g + 5. Let z be o(-5). Let q = 0.1 - 1.1. What is the nearest to -1 in 4, q, z?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -25 not equal to -27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3195 + -3195.006512. Round v to 4 decimal places.\nAnswer: -0.0065","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 3 - 52*f**2 + 1276*f**2 + f**3.\nAnswer: f**3 + 1224*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -q + 9. Let n be 0\/(-2) + (-3)\/q. Let o be (3\/(3\/2))\/(-2). Is n smaller than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3849\/4 - 962. Which is the third smallest value? (a) y (b) 1 (c) 70\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, -1500046, -1, 5 in descending order.\nAnswer: 14, 5, -1, -1500046","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*j**4 - 11*j**4 + 3*j**2 - j**2 wrt j.\nAnswer: -168*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12102123 (base 4) to base 2\nAnswer: -110010010011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 107*v = 110*v - 2*m - 2, 24 = -2*v - 5*m for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21143 + -422947\/20. Find the common denominator of 29\/80 and z.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 + (-15)\/3)*(-1846)\/8 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -15*m. Let x(n) = -n. Suppose -718 = -41*b + 512. Determine b*x(c) - s(c).\nAnswer: -15*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 - n**2 + 3*n - 4. Let f be i(-3). Let w = -204 + 209. What is the greatest common factor of f and w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 210*c**3 - 192*c**3 - 3*c + 15*c - 12*c.\nAnswer: 18*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*d**2 - 1 + 4*d**2 - 51*d**2)*(52 - 69 - 81).\nAnswer: 5586*d**2 + 98","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12369*g**3*q**3 + 60*g**3*q - 27*g*q**2 wrt q.\nAnswer: 74214*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 - 24 - (-4 + -1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - -2) + (5 - 1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (7 - -11)\/6 + 3\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 34.9191 meters?\nAnswer: 34919100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c - 3. Let y be b(7). Let x be 188485\/5960 + 6\/16. Solve -4*w = y*w - x for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sh when two letters picked without replacement from hhhssshhhs?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d - 1 + 1)*(2 + 0 + 0) + 0 + 0 + 2*d + d - 6*d + 3*d + (-4 + 3 + 2)*(3 - 3*d - 3).\nAnswer: -7*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -1*((sqrt(3) - (sqrt(54)\/sqrt(3))\/sqrt(6)) + 3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(-5) - 17\/(510\/(-216)). Let q be (3 + 7 - f) + (-63)\/1. Is -60 less than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2.3 and -0.020901345.\nAnswer: 2.279098655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**3 + 8*x**2 + 8. Calculate the lowest common multiple of 186 and h(8).\nAnswer: 744","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19358482 a multiple of 897?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x*x*(x*(x\/((x*x**(-3))\/x))\/x)\/x*x)**(-20)*x**(-3\/4)\/((x\/(((x\/x**(4\/11))\/x)\/x))\/x*x))**(3\/32))**(8\/11) assuming x is positive.\nAnswer: x**(-18891\/1936)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.52 (b) -1\/114 (c) 3 (d) 0.2 (e) 5\/6 (f) -0.4 (g) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 2*q + 16 = 0, -2*b + 0 = -q - 10. Find the first derivative of 3 - b + 0 - 4*w**4 wrt w.\nAnswer: -16*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the second derivative of -2*x**3\/3 + 74*x**2 - 145*x. Let t be a(36). Solve 10 = -2*g - 3*v, -t*g - 4*v + v - 8 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 5*g**3 + g**2 + 6*g + 1. Let m be z(-4). What is the common denominator of m\/24*1 - -2 and -103\/18?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -33 (b) 0.4 (c) 0.495 (d) -1 (e) 1 (f) 1\/5 (g) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1317 - 342 = 13*n. Calculate the remainder when n is divided by 42.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 519 * 0.07\nAnswer: 36.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/(-2)*(-335)\/1005)\/(16\/6).\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 226728 (base 10) in base 12?\nAnswer: ab260","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-1 + -3 - 1).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-11)\/((-352)\/(-36)))\/(660\/88)?\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3024000 to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((8\/10)\/((-21)\/15))\/2.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l = -4*r + 12, 0 = -r + 4*r + 3*l + 12 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7689\/658 less than 12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -193326, -193310, -193290, -193266, -193238?\nAnswer: -193206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -6, -45, -3 in increasing order.\nAnswer: -45, -6, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2032 - 968. Does 30 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -139\/930 and -161\/3534?\nAnswer: 17670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 2*i**2 - 232*i. Let q(t) = 458*t. Calculate q(l(x)).\nAnswer: 916*x**2 - 106256*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -448 and 0.1.\nAnswer: -44.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -35.845676968 + -1365.154329442. Let r = 0.0279 + -1401.0279. Let b = r - c. What is b rounded to 6 dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 130478 = 16*g + 286. What is the thousands digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 420\/((-9)\/3)*(-192)\/(-40). What are the prime factors of (201\/(-12))\/(28\/p)?\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4062 - 3866. What is the highest common factor of k and 1813?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12000 + -202200?\nAnswer: -120200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gx when two letters picked without replacement from {e: 11, x: 5, g: 1}?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + (-3 - -10) - -6 - (-1 + -5).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 3*i - 71 - 474 = 0, n - 275 = i. Let p = n + -134. Is 10 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**2 - 4*c**2 + 0*c**2 + 4*c**2. Let p(a) = 24*a. Give p(k(q)).\nAnswer: -24*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1028 - -708.14?\nAnswer: -319.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6161\/18 + -1040\/3. Find the common denominator of s and -101\/12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.408961 and -1?\nAnswer: -0.408961","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 4*s - 150 = 2*x, -5*s + 377 = -4*x. Let t = 461\/6 - s. Put 0, 5, t in descending order.\nAnswer: 5, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1155 (base 9) to base 10.\nAnswer: -860","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*d - 6*d + 6*d)*(34*d - 23*d + 45*d).\nAnswer: -280*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 63 + -15. Let c(f) = 3*f**2 - 76*f - 33. Calculate the remainder when c(28) is divided by x.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**3 + 4*a**2 + 10*a + 45. Let t be i(-4). Let x be 7 + (-1)\/(-2 - t\/(-2)). Suppose -u - 2 = 3*h + 2, 5*h + u = -4. Solve -7*s + 2*s + x = h for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3928 divided by 343\nAnswer: 3928\/343","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*c - 494 + 307. Sort 2\/3, 0.5, c in descending order.\nAnswer: c, 2\/3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2571938 divided by 1285969?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 757735 and 1515470?\nAnswer: 1515470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 2*r**4 + 42*r**3 + 150*r**2 - 434*r + 240 = 0.\nAnswer: -15, -8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the second derivative of x**3\/2 + x**2 + x. Let c(v) be the first derivative of 5*v**2\/2 + 11*v + 20. Let t be c(-3). Give d(t).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5985)\/(-5985))\/((-3)\/(-6)*(-1)\/(15\/6))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.1 and -61091.\nAnswer: 67200.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes after 7:34 PM?\nAnswer: 6:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6434072.\nAnswer: 2, 804259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 848677.1 litres in millilitres?\nAnswer: 848677100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 162815440?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1188) + sqrt(1188) + 1*sqrt(1188) - sqrt(33))\/sqrt(3).\nAnswer: 17*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14896748 - -99.\nAnswer: 14896847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 - -8f5e?\nAnswer: 8f5a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17, -3, -47, -127, -255, -443, -703, -1047?\nAnswer: -1487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 2*q + 67 = -4*r, 43 = -r - 5*q. Let z = 48 + r. Does 28 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (34\/(-34))\/(6\/10)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -700, -695, -702, -727, -776, -855?\nAnswer: -970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**3 - 5*f**2 - 5*f - 5. Let i = 622 + -626. Calculate c(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 32*t**4 - 347 + t + 345 + 178*t**3 - 175*t**3 as f*t**3 + x + r*t**4 + m*t**2 + c*t and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/6)\/((-86)\/129).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 201108, 402229, 603362, 804513, 1005688, 1206893?\nAnswer: 1408134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d + 24 + 14. Let r(h) = -27*h - d + 19. Let o(z) be the second derivative of -z**3\/6 - 11*z + 1. Give r(o(b)).\nAnswer: 27*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000321667 rounded to six dps?\nAnswer: 0.000322","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.211829 - -0.23488. Round i to 3 decimal places.\nAnswer: 0.023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 4*b - 5*b. Put b, 1\/2, 2 in ascending order.\nAnswer: b, 1\/2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times 1.1772?\nAnswer: 3.5316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -74 + 83 + 137\/(-4). Let l = m + 513\/20. Let -2\/5*u + 2\/5*u**4 - 6\/5*u**2 + l*u**3 + 4\/5 = 0. What is u?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*w + 7508 - 14613 + 7105.\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/90 and -4\/25?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 7) to base 11.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, -3\/4, -0.2, -1\/4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7 or 299999?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -1229*w - 1117. Let c(v) = -1250*v - 1119. Let z(o) = 2*c(o) - 3*j(o). Differentiate z(q) wrt q.\nAnswer: 1187","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -2*g**2 - 65*g - 29. Let b(s) = -22*s + 78. Let o be b(5). Let f be h(o). Put f, 1, 7\/4, 0.2 in descending order.\nAnswer: f, 7\/4, 1, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 26970 - 16501. Suppose t = 13*h - 8251. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1383740?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b + 15, -3*r = -6*r + 2*b + 6. Suppose r = -3*w - 2*o + 322, 0 = w - 6*w - 3*o + 535. Calculate the greatest common divisor of w and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = -2*o - 5*j, 2*o + 3*o + 3*j + 67 = 0. Let f(q) = -q**2 + 2*q. Let m be f(4). Let x = m - o. Let r(a) = a**3 - 4*a**2 + 4*a - 3. What is r(x)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26429?\nAnswer: 13, 19, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8\/81? (a) 0.08 (b) 0.2 (c) 74 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 184 and 41515.\nAnswer: 332120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -125*h**2 - 171*h**2 - 334*h**2 - 2 - 59*h**2.\nAnswer: -689*h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -4 + 149 - (-2 - -3). Suppose -6*i + z = 3*i. What is the lowest common multiple of 72 and i?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - d = -3*d - 2, t + 3*d = 19. Which is the closest to -1? (a) -3 (b) -0.3 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 17 in -4\/5, 1\/6, -55\/3, -5?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1259.03005 + 1259. Round m to 3 dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 8*z + 4. Let x be w(4). Let s be 8\/x + 22\/(-18). Is (67*s)\/(7 + -8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 2*h - 400 = -2*r, 1032 = 5*r - 3*h. Is 14 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 + 6. Suppose -5*s = -r*s - 15. Let f be 1\/(s\/3)*7. Calculate the highest common divisor of f and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1371781?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:25 AM and 1:28 PM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sll when three letters picked without replacement from {s: 2, j: 2, l: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.842 + 0.912. Let a = 1 + 0. Sort 1\/5, -3\/2, x, a in ascending order.\nAnswer: -3\/2, x, 1\/5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 677180?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 h when two letters picked without replacement from {w: 2, h: 2, f: 9, b: 1, g: 3}?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 150.1 + -161. Let i = q + 11.1. Which is the nearest to -0.1? (a) -2 (b) i (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 36.9435l?\nAnswer: 36943.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zj when two letters picked without replacement from {z: 1, u: 4, j: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(65) + sqrt(65)*1 + sqrt(65) + sqrt(65))*4)\/(sqrt(245)*-1)*3.\nAnswer: -48*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 45? (a) 0.14 (b) 0.6 (c) 4\/7 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 287085 - 287085 - 8*w. Let j(p) = -p**2 + 7*p. Calculate m(j(d)).\nAnswer: 8*d**2 - 56*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*y = 28 + 42 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 157687836 is divided by 7166.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 32 = -4*n, -118*l + 113*l - 2*n + 3 + 9 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -1 - -1 - (4 - 0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -220, -180, -116, -28?\n\"Answer: 12*m**2 + 4*m - 236","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 26*v**2 + v + 1. Let s be o(-1). Let w = -12 - -17. Suppose -4*t = -2*l - s - 296, 2*t - 143 = -w*l. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 6, h: 6, y: 3}. What is prob of picking 3 e?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -28 + 20. Let q = 11 + x. Calculate the highest common factor of q and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1402, 2, 1 in increasing order.\nAnswer: 1, 2, 1402","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 2*o + 14 = 0, 0*s + o = 2*s - 3. Suppose 5*h - s*c + c - 4137 = 0, 5*h + 3*c = 4143. Is 12 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**2 + 11*r + 3. Does 7 divide d(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -2*n**2 - 299*n - 5914. Let a be c(-126). Suppose 16\/3 - 2\/3*q**4 + 4\/3*q**2 + a*q - 2*q**3 = 0. Calculate q.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -4*k**5\/3 - 104*k**4\/3 + 364*k**3\/3 + 464*k**2\/3 = 0?\nAnswer: -29, -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -47, -260, -619, -1124?\nAnswer: -1775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -143\/70 - -15\/7. Let q = -16.11 + 16. Let g = -1.11 - q. Put g, -2\/5, p in increasing order.\nAnswer: g, -2\/5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -v - 3*b, -4718*b + 4716*b = -4*v + 64. Solve -7*m + v = 61 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -39 - -187. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 33 and 35915.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 93 - 71 - (27 - 4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -3*i + 8, -2*i + 6*i - 4 = 3*l. Let w(o) = -o**2 - 10*o - 20. Let g be w(-9). Sort i, -1, g.\nAnswer: g, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 1 - 2)*(1 - 1 + i) - 21*i - 29*i - 6*i + (i + 2*i - 2*i)*(3 + 2 - 6) - 1 + 2*i + 1 as d + w*i and give w.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 88\/396*81\/18. Solve -9*d + g = 46 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-12)\/(1\/2*15). Is -2 greater than or equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 4*f - 5*f = 53, 2*g + 4*f = 136. Let b = 760 - 700. Is b less than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 490811*f - 490811*f - 32*f**3.\nAnswer: -32*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 2*w - 1. Let h be f(3). Let d(m) = -m - 8. Let y be d(-5). Let r be (-2)\/(-15)*(y + 0). Which is the second smallest value? (a) h (b) -4 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -119579\/6 - -19887. Let c = d - -6437\/150. Put c, 0.3, 0.1 in decreasing order.\nAnswer: 0.3, 0.1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.1 + 2.6. Which is the closest to 0.1? (a) -4 (b) z (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 416 - -12504341?\nAnswer: 12505060","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 4537230 to the nearest one hundred thousand.\nAnswer: 4500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 + 18*l**2 - 48*l + 37. Determine r(15).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2209\/7 - -316. Let l(a) = 3*a + 9. Let x be l(-3). Suppose x - 6\/7*z - r*z**2 = 0. What is z?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15322155 (base 7) to base 10.\nAnswer: -1467786","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -66000 rounded to the nearest one thousand?\nAnswer: -66000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 504145.1 litres?\nAnswer: 504145100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 9*l**5 + 20*l**4 + 25*l**3 - 9*l**2 - l. Let v(z) = 5*z**5 + 11*z**4 + 13*z**3 - 5*z**2. Let m(g) = 11*v(g) - 6*x(g). Find n such that m(n) = 0.\nAnswer: -3, -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88*a + 2322 = 41*a for a.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 2*c - 2. Let q(y) = -1. Let v(l) = -g(l) + q(l). Suppose -11*a - 299 = 3*o - 16*a, -4*o + 2*a - 422 = 0. Let t = 106 + o. Give v(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the third derivative of 0*y**4 + 0*y**3 + 0*y**7 + 0*y**6 + 1\/15*y**5 - 3*y**2 + 0 - 1\/168*y**8 + 0*y. What is the third derivative of u(a) wrt a?\nAnswer: -120*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -472000 to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*n = 18*n + 9 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 702170?\nAnswer: 2, 5, 7, 1433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 19 + -17. Let k(y) = -5*y - 1. Give k(q).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 254739.847 rounded to the nearest one thousand?\nAnswer: 255000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -447*x - 393*x = -903*x - 630 for x.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 69 in 28, 0.1, -3, 0, 2?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.03068915 to three dps.\nAnswer: -0.031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**3\/3 + 32978*i**2 + 65957*i + 98936\/3.\nAnswer: -(i - 98936)*(i + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 6*11\/(33\/(-2))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + 14 = 12*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 12, -4*k + 4*z = -k + 6. What is the second derivative of f - 3*f**k - 3*f**2 - 2*f**2 + 6*f**2 wrt f?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 141*z + 1119 + 604 = -251 for z.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 10\/3, 2, 0?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 7, n: 1, u: 2, o: 3, x: 4}. Give prob of picking 1 n and 1 o.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1822434?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 108*m**2 - 3 + 701*m - 1403*m + 1 + 702*m.\nAnswer: 108*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7\/13107 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 - 3 - 17 - -15?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 449 + p**3 - 902 + 453.\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(2450) + sqrt(162)\/(2*sqrt(9) + sqrt(9)).\nAnswer: -69*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 0 = -2. Suppose 0 = -3*u - 4*p + 11, y*u - u + 5*p + 11 = 0. Suppose 0 = 6*m - 5*m - u. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14 and 1150?\nAnswer: 8050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -18 - 0. Let b(z) = -7*z**2 + 26*z - 8. What is the least common multiple of m and b(2)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1151 - 5.41\nAnswer: -5.2949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -4*j - 68, 4*j + 8 = 5*k - 65. Let g be (j\/(-13))\/6 - (-55521)\/13. Let r = g - 2670. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d + s + 4145, -27*d + 2*s - 4130 = -31*d. What is the thousands digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence syis when four letters picked without replacement from {w: 4, o: 1, k: 3, s: 3, y: 5, i: 1}?\nAnswer: 1\/1904","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -579.714, 0, -0.4 in decreasing order.\nAnswer: 0, -0.4, -579.714","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11077313 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/13, 5, 9, 10934 in descending order.\nAnswer: 10934, 9, 5, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/4 + 4 - -723. Suppose 32*d - 18*d - h = 0. Calculate the highest common factor of d and 91.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q + 1. Let g(z) = 2*z**2 + 11*z + 7. Let u(o) = -g(o) + 4*i(o). Let a be u(-3). Let y be 3\/(-2 + (-3)\/3). Sort -7, a, y in decreasing order.\nAnswer: a, y, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes after 9:20 PM?\nAnswer: 11:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 6261 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 103 (base 6) to base 4\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 161\/8460 and 83\/251346.\nAnswer: 354397860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 948*f + 30 = 954*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -408*u**3 - u. Is o(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1125*o**2 - 101*o**2 + 200*o**2.\nAnswer: 1224*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/5 of a kilogram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6861?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 134*b = -176*b + 5270 for b.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1102\/80*2)\/(9 + 10 + -17). Which is greater: 14 or l?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/18)\/((-2)\/6).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8211?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -658 divided by 2\nAnswer: -329","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3270027 and 20223.\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1443712 to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (24\/15)\/((-4)\/(-10)). Let g(p) = p - 5. Let t(z) = -z + 4. Let q(u) = o*g(u) + 5*t(u). Let w(i) = -2*i**2. Calculate w(q(v)).\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 1 = -15. Let f(h) = -h**3 - 5*h**2 - 7*h - 6. Suppose -2*b + 20 = -4*d, -55 = -b - b - 3*d. What is the lowest common multiple of b and f(q)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 2*d + 3. Let c be b(-4). Let s(x) = x**3 - 2*x**2 - x - 2. Let q be s(3). Sort -1, c, q in ascending order.\nAnswer: c, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-6)\/(-6))\/((-2)\/(-8)). Let b = -115496\/17 - -2345482\/357. Let q = b + 224. What is the closest to 1\/3 in n, q, 2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes before 2:49 AM?\nAnswer: 3:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*r + 2*r - 264*r**2 - 59 + 26 + 34 + 0*r in the form m*r**2 + t + p*r and give m.\nAnswer: -264","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -39*c**3*x**3 - 3317*c**3*x + 1771*x**3 - 48*x wrt c?\nAnswer: -117*c**2*x**3 - 9951*c**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 525734 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**3 - k**2 - 2*k + 168. Is 28 a factor of j(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 - 12. Let u = -18 - s. Is (-74)\/3*u\/6 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 3 + sqrt(14)\/sqrt(2) + -1)**2 + ((sqrt(14) + sqrt(28)\/sqrt(2))*-2)\/(sqrt(90)\/sqrt(5)).\nAnswer: 2*sqrt(7)\/3 + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 203?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 45 and 390.\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p - 2*p + 5*p)*(-6 + 5 + 3 + 2 + 0 + 0 + (-3 + 1 + 0)*(3 - 4 - 1) + 3 - 1 + 0 - 4 - 2 + 3 - 3 + 5 + 0 + (-4 + 2 + 3)*(0 - 3 + 1)).\nAnswer: 7*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r**2 + 2*r**2 + 0*r**2)*(0*r + 1102 + 10*r - 1105).\nAnswer: 20*r**3 - 6*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(98))*6 + -4*(-1 + sqrt(98) - sqrt(98)) + 5*(sqrt(2) - sqrt(2)*-4) + sqrt(3200))**2.\nAnswer: 3424*sqrt(2) + 23154","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1012.\nAnswer: 2, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -333 - -335. Let z(q) be the first derivative of 5*q**2\/2 - 6*q - 3. Let r be z(n). Solve 5*s + 6 = 3*k, -k - k = -5*s - r for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 1\/2, -1\/4, -0.4 in descending order.\nAnswer: 14, 1\/2, -1\/4, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7748 - -43.19957.\nAnswer: 7791.19957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20450.\nAnswer: 2, 5, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/661 at least 5.469?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 69328.8 milligrams?\nAnswer: 0.0000693288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 5*h + 21 = 0, -h + 4 = 2*o - 3*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1161574341?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 31*n**2 + 5*n + 22. Is c(-3) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wks when three letters picked without replacement from skuww.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + 1. Suppose z*p + 1 = 5. Suppose -t - p = 4. Let l(g) = -g + 5. Calculate l(t).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1085086?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 21*c**4*o**2 - 138*c**4*o - 924*c**3*o - 10*c**2*o**2 + 454*c**2 + 9*c*o**2 - o wrt c?\nAnswer: 504*c*o**2 - 3312*c*o - 5544*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the third derivative of 36*g**2 + g + 1\/3*g**3 - 1\/24*g**4 + 0. Determine x(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the third derivative of -r**4\/24 + 10*r**2. Let v(c) = 4*c**2. Calculate v(j(u)).\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*i - 216 + 138 = 207 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 - 8. Suppose a*p - p = -1. Which is bigger: 2\/31 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -0.1, 67, -11, 0.3, 1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68 + 42 = 5*q. Let r(m) = -m**3 + 2*m**2 + 19*m - 6. What is the lowest common multiple of r(-4) and q?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*m*x*y**3 - 104413374*m*x*y**2 + 8916631*m*y + 22*y**3 wrt x?\nAnswer: 3*m*y**3 - 104413374*m*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8767958 rounded to zero dps?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 - 1101100100?\nAnswer: -1101100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 5*t**3 - 30*t**2 - 2 - 2*t**3 + 4*t**3 - 6*t**3. Let b be g(30). Is b at least as big as -6\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -5 + (5 + -1)*(-30)\/(-12). Solve -h - w*h + 6 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of t**5 - 457*t**4 - 1230*t**3 - 10854545*t.\nAnswer: 20*t**3 - 5484*t**2 - 7380*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -905 - -9959\/11. What is the second smallest value in 3, -1, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the second derivative of 3*o**5\/20 + 9*o**4\/4 + 9*o**3\/2 + 27*o**2\/2 + 25*o. Let c(t) = t**2 + t + 1. Give 54*c(l) - 2*w(l).\nAnswer: -6*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.2 - 3. Let r be (-10)\/15*(-3)\/(-2). Let n = -63 - -62.93. What is the smallest value in r, n, h?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-2\/9))\/k*k*k\/((k*k\/((k*k**(-2\/5)*k)\/k))\/k)*k*(k**1\/k)**(-16)*((k*k**(-2\/9))\/k*k**1)**0 assuming k is positive.\nAnswer: k**(107\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2547361?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**12\/(h*h**(-2)*h)*(h\/(h**(-7)\/h*h))\/((h*h**20)\/h*h) assuming h is positive.\nAnswer: 1\/h","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18.26 + -18. Let r = -591922.2600044 - -591922. Let x = r + u. Round x to 6 dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate p*u - 232*p - 2*u + 439 with respect to p.\nAnswer: u - 232","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.04? (a) 5 (b) 4 (c) -4 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -189 + (16 + 396\/(-24))*4*2. Put -6, g, 3 in descending order.\nAnswer: 3, -6, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -13426.3971 to the nearest ten.\nAnswer: -13430","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 817634 and 18.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {u: 4, c: 2, v: 7}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 754 + -549. Which is the fourth biggest value? (a) 1\/3 (b) o (c) 0.4 (d) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {y: 5, e: 7}?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:21 PM and 11:03 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (6\/6 + 10).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10929 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(11\/5)\/(v\/v**(-10\/7))*v**(-20)*v\/(v*v**(-2\/7)*v) assuming v is positive.\nAnswer: v**(-733\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + y - 6 = 0. Suppose -3*n = -4*x - 108, 42 = -4*n - y*x + 164. Suppose 0 = -5*v - 2 + n. Solve 3*h = h + v for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express h - h + h + 3*h + h - 2*h + (2 + 1 - 1)*(-3*h + 5*h - h) as l*h + n and give l.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 188168579*o + 9*o**2 - 188168579*o.\nAnswer: 9*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v - 25*l + 26*l + 21, 5*v = -l + 105. Calculate the greatest common factor of v and 51.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 395 = -5*y, 0 = 5*s - s + 2*y - 320. Is 15 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -2*g**3 + 651262*g**2 + 31916452*g + 61227840 = 0.\nAnswer: -47, -2, 325680","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4616\/28*7\/2. Let b = 580 - q. Solve 3*o = -b*r + 15, 5*r + 2*o - 1 - 24 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:24 AM and 2:16 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 112 divided by -16\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that f**5 + 39643*f**4 + 396319*f**3 - 435963*f**2 = 0.\nAnswer: -39633, -11, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x + 15*x + 3*x)*(0 + 0 - 2*x)*((4 + 1 - 3)*(2*x**3 + 3*x**3 - 7*x**3) - 28*x**3 + 72*x**3 - 31*x**3 - x**3 - 2*x**3 - 3*x**3).\nAnswer: -90*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9287102m in kilometers?\nAnswer: 0.0009287102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + (2 - (2 + 2 - 6) - 8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-64)\/(-154))\/(-2) - 36\/(-63). Factor 4\/11 + 2\/11*w - b*w**2 - 2\/11*w**3.\nAnswer: -2*(w - 1)*(w + 1)*(w + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**2 + 9*a + 1. What is u(8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -153*j**2 + 5511*j**3 + 153*j**2 - 3046*j**3 - 2462*j**3.\nAnswer: 3*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 3994 = -2246. What is m rounded to the nearest 100?\nAnswer: 3100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 219148 is divided by 11526?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes before 11:21 AM?\nAnswer: 6:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - 16 - 40. Suppose m = 4*h - 5*u, -4*h = -3*h + 5*u + 18. Factor 11*v**2 + 5*v - 15 + 4*v**2 + h*v**2 - 2*v**2 - 5*v**3.\nAnswer: -5*(v - 3)*(v - 1)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 63, 86, 151, 282, 503, 838, 1311, 1946?\nAnswer: 2767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(176) + sqrt(176)*-2 - 3*sqrt(539))**2.\nAnswer: -13750","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*y + 180 = 11*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 144 + 313221032?\nAnswer: 313221231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 10*c**5 + 15*c**4 + 10*c**3 - 5. Let p(u) = -11*u**5 - 15*u**4 - 9*u**3 + u**2 + 6. Let o(y) = -5*p(y) - 6*w(y). Factor o(g).\nAnswer: -5*g**2*(g + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g\/g**(-21)*g*g*g)\/(g\/g**38*g))\/(g**(-9)\/g)**(-1\/3) assuming g is positive.\nAnswer: g**(176\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 330557?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(2\/(-5)*6\/(-6)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2154*f + 695*f - 15948 = -1016*f for f.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 3 z when four letters picked without replacement from {p: 2, k: 7, v: 4, r: 2, g: 1, z: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 253756?\nAnswer: 2, 63439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 5) to base 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2333 + -4303?\nAnswer: -12141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/10)\/(24\/(-300)*-30)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2824*o - 12*o**4 + 2240693*o**3 - 2240692*o**3 + 45*o**4 wrt o.\nAnswer: 396*o**2 + 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the third derivative of i**6\/180 + 71*i**5\/30 + 283*i**4\/48 + 53*i**3\/9 - 12*i**2 + 10*i. Find q, given that s(q) = 0.\nAnswer: -212, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 4*x = 9, -b + x + x + 3 = 0. What is the closest to b in 3, 2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.107 and -41430949?\nAnswer: 41430949.107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 4 = 2. Suppose 0 = 2*y + y - m - 73, u*y = 4*m + 32. What is the highest common factor of 208 and y?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 8920324?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 438372079*t**2 - 3913*t + 15882 wrt t?\nAnswer: 876744158","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, l: 1, y: 4, f: 2}. Give prob of sequence fly.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -66669 divided by -13.\nAnswer: 66669\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**3 - 8*k**2 + 5. Let q be w(8). Suppose -4*m + q = -7. Suppose -38 = -12*t + 10. Solve -u + 21 = -4*y, m*u - t*u - 2*y = 9 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 3*k - 14. Let x be q(4). Which is the second biggest value? (a) x (b) 0 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 105 or 402?\nAnswer: 402","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6265168?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -27, -3, 0 in ascending order.\nAnswer: -27, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the first derivative of -s**3 - 3*s**2\/2 - 5. What is m(-2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n**4 + 31122*n**3 + 1024704*n**2 + 9774270*n + 20940525 = 0. Calculate n.\nAnswer: -10341, -15, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72986*i**3 - 430715*i**3 + 56943*i**3.\nAnswer: -446758*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 111010000010000111011110 (base 2) in base 11?\nAnswer: 8650850","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 2 and 0.36.\nAnswer: 2.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -457*s - 1956. What is the hundreds digit of r(-35)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -965011, -1930047, -2895083, -3860119, -4825155, -5790191?\n\"Answer: -965036*a + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -7*h**2 + 16*h - 15. Let y be d(-5). Let j = y + 272. Solve -9 - 1 = j*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u**3 + u**3 + 3*u**3)*(-3990*u**2 + 8335*u**2 - 4083*u**2).\nAnswer: 524*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - 0) + (49 - 50)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-37)\/(-5) + (0 + 3 - 10). What is the closest to b in -2, 2, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 times 54\nAnswer: 270","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 18\/(-7) + 15\/(-35). Let f be b + ((-2)\/(-12))\/(14\/273). Sort f, -0.4, 2.4 in descending order.\nAnswer: 2.4, f, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/21)\/k*k)\/k*k**7*k**(-6)*(k**3*k)\/k assuming k is positive.\nAnswer: k**(65\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 455 and 62763155.\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**2 - 18*b. Let q be c(0). Do 7\/10 and q have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes after 10:48 PM?\nAnswer: 6:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 48 - (-25 - (51 - 96)).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 146 - 2*h - 75 - 71.\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence esis when four letters picked without replacement from igsxesieii?\nAnswer: 1\/315","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -4*w**4\/13 - 3222*w**3\/13 - 1606*w**2\/13 + 3222*w\/13 + 1610\/13 = 0?\nAnswer: -805, -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -48*(-12)\/1056 + 10\/(-99)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 19800 and 6964683.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 10*r + 14 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 376257*i - 9922 = 376015*i for i.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1333 + 1332.9. Which is the smallest value? (a) m (b) -0.84 (c) 2\/9 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**3 + 2*r + 1. Calculate x(-2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -4*(-1)\/8*2 + -4. Does 21 divide (-1)\/(q\/6*(-2)\/(-167))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-47718)\/12*66\/9. Let v = -2152 - o. Suppose 5*z + 19614 = 2*m + 1599, v = 3*m - 3*z. Round m to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 3 - 2)*(-7*n + 3*n + 3*n) + 1 - n - 1 + (n + 2*n - 4*n)*(-4 + 4 - 2) + 2*n - 3*n - n + (-2 + 6 + 0)*(n + 3*n - n).\nAnswer: 9*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -46354080 to the nearest one million.\nAnswer: -46000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 7459?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.98 + -0.02. Let x = -1 + g. Let j = x - -3.999995. What is j rounded to 5 decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31798?\nAnswer: 2, 13, 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.6378 * -0.4.\nAnswer: 1.05512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jyj when three letters picked without replacement from pjpypppppppyjpppjppp?\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 2772 = -4*y, -3*m + 5*y + 2152 - 57 = 0. List the prime factors of m.\nAnswer: 5, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/9*18\/3. Is 2\/((-50)\/26 + j) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76*x + 91*x - 990 = 0. What is the least common multiple of x and 3?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30.54779 days in nanoseconds?\nAnswer: 2639329056000000","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuyaauuayyyuyyyy. Give prob of picking 3 u and 1 a.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add 9301 and -2.94783.\nAnswer: 9298.05217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9, 19, 35, 57, 85, 119, 159?\nAnswer: 205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 2*d + y + 3 = 0, y - 5 = -d. Suppose 9*m - 7185 = d*m. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 46*q**4 - q**2 - 21*q**4 + q**3 - 20*q**4 - q**2 in the form y*q + a*q**2 + u*q**4 + j + f*q**3 and give u.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -5*g**5 - 50*g**4 + 425*g**3 - 850*g**2 + 480*g = 0.\nAnswer: -16, 0, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -1940.8968 to 0 decimal places.\nAnswer: -1941","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2818599 - 2885?\nAnswer: 2815714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 317 is divided by 147?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 41074904?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1893 (base 13) in base 7?\nAnswer: 13461","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 c when two letters picked without replacement from jdjjc?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*r - 8*r + 13*r.\nAnswer: 7*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 + -3)*5\/(-1). Let g = 14 - i. Let s(q) = -3*q**2 + 5*q + 6. Let d(x) = 8*x**2 - 15*x - 17. Let b(h) = 4*d(h) + 11*s(h). Calculate b(g).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 238316993 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1689\/(-12)*(-16)\/6*(-18180)\/(-120)?\nAnswer: 101, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 35 - 15. Is 18 at most d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*r = -7*r. Solve 0 = 2*s - w + 5*w - 10, r = 2*s + 5*w - 12 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 139 divide 3739934?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(1\/6)\/t*t*t\/(t\/(t*t*t**(6\/11)*t))*(t\/t**(2\/5))**(-22))\/(t**(-1\/3)\/t**(-9))**(1\/12) assuming t is positive.\nAnswer: t**(-5054\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 - 2 + (-4 + 1 + 1)*(1 + 1 + 0))*(-1 + 0 - 1)*(-t**3 + 3*t**3 - t**3).\nAnswer: 16*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b**3\/6 + 82865*b**2\/6 - 165733*b\/6 + 82867\/6 = 0. Calculate b.\nAnswer: -82867, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - 6*k = 6*k + 9*k - 15*k - 26, -k = -2*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(-10) + 1668\/(-2320) - (-140)\/2030. What is the closest to 0.04 in t, 1, 5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + -4 + 3 + 5 - 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the first derivative of p**7\/42 - 7*p**6\/72 - 5*p**3 - 29. Let y(i) be the third derivative of r(i). What is the third derivative of y(k) wrt k?\nAnswer: 120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 - -ac?\nAnswer: ad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 357, 898, 1621, 2526, 3613?\n\"Answer: 91*d**2 + 268*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 6) in base 8?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 96*-1303249\nAnswer: -125111904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13429 - 13375. Solve -58*n + v*n + 16 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3413 - 3413.5. Which is smaller: 63 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-252)\/(-98))\/((-3)\/(-14)). Suppose 3*v + 6 = 6*v - 3*d, 3*d = -9. Let r be 54*(2 + 0\/v). What is the greatest common divisor of t and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1777, 7119, 16025, 28495?\nAnswer: 44529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -2287*p - 420984. What is k(-184)?\nAnswer: -176","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 5413?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-36)\/(-24)*46\/3. Suppose b*s = 221615 - 4380. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 4*t - 1 + 3*t**2 + 1 + 2 + 0*t. Suppose 0 = 5*d + 25, -4*o + d = -3*d - 60. Calculate the least common multiple of o and l(-2).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c - 24 + 0*c + 13. Let g be 15\/(-60) - (-2)\/8. Determine n(g).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76*l + 775 - 90 = -151 for l.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the first derivative of -3\/2*z**2 - 2*z + 7\/3*z**3 + 6. What is the units digit of s(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -79994 to the nearest 1000.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1\/7)*h\/(h**(-7\/3)*h)*h)\/(h**(3\/13))**50 assuming h is positive.\nAnswer: h**(-2279\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1322*q + 11160 = 1328*q. Does 36 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(2448) + 3 + sqrt(204)\/(sqrt(588) + (sqrt(588) - (sqrt(588) - -1*sqrt(588))) - sqrt(12)).\nAnswer: 1 + 11*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 24 + -123\/5. What is the biggest value in i, 5, 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5.99 - -6. Let l = -1003 + 998.99. Let n = l + t. Which is the third smallest value? (a) n (b) 0 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -64\/5 - -96\/5. Determine x so that -512\/5*x - 512\/5*x**2 - 2\/5*x**5 + 0 - g*x**4 - 192\/5*x**3 = 0.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 37, -4120, -16 in descending order.\nAnswer: 37, -16, -4120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 take away -31?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 7*u + 15. Let c(f) be the first derivative of 3*f**2\/2 + 7*f + 97. Suppose -r + 2*r + 6 = 0. Determine r*j(l) + 13*c(l).\nAnswer: -3*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 827 a factor of 628831779?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are 7310 and 6534 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1666, 13 in decreasing order.\nAnswer: 1666, 13, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 2*j + 10. Let n be l(7). Calculate the common denominator of 5\/15 + (-61)\/n and -99\/16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1332966 less than -26799864?\nAnswer: -25466898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 33510197?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45 = 67*g - 89 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9.1 + 2.6. Let o = -0.5 + d. Let j = -9 - o. Sort 0, -0.2, j in decreasing order.\nAnswer: 0, -0.2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 478*f - 20331. Calculate w(39).\nAnswer: -1689","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 693 is divided by 33?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -9*r - 14. Suppose -8*l + 4*c - 4 = -3*l, -2*l + 3*c + 4 = 0. What is the units digit of d(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77 = -14*j + 371. Calculate the greatest common factor of j and 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.1486 + -0.1486. Which is the closest to f? (a) 6 (b) -1\/10 (c) -3\/4 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the first derivative of x**5\/5 + 3*x**4\/4 + x**3 + x**2\/2 + 1. Solve d(h) = 0 for h.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, 4, 3, 2349.\nAnswer: -5, -2, 3, 4, 2349","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -833 or -834?\nAnswer: -833","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8913, -10835, -12757, -14679?\nAnswer: -16601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 545104159 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 21\/18 + (-3)\/9 + (-210)\/1260. Which is the closest to 0? (a) -3 (b) -2\/5 (c) z (d) -0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, i: 1, r: 1}. Give prob of picking 1 j and 1 i.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2329, -7712, -13095?\nAnswer: -18478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-41 - 5*h + 41)*(11 - 71 - 8 + (-1 - 1 + 1)*(-5 + 4 + 2)).\nAnswer: 345*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1183492 (base 10) in base 7?\nAnswer: -13026262","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a centimeter in micrometers?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*c - 6*c + 0*c + 3*c.\nAnswer: -6*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -131 + 1396 = 2*p + 3*f, -2*p + f + 1261 = 0. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a34 (base 11) to base 5.\nAnswer: -14442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-9\/5)\/(w**7\/w))\/(w**(3\/4))**(4\/17) assuming w is positive.\nAnswer: w**(-678\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 5, 91, 1\/35?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 2*l**3 - 3*l**2 + 2*l - 3. Let r(x) = x + 57. Let c be r(-19). Suppose 6*u + c = 50. What is z(u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1066195288?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5279 + -223787.\nAnswer: -229066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -993, -2006, -3019, -4032, -5045?\nAnswer: -6058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 742360 - 61874?\nAnswer: 680486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 255 and 204.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -44, -37, -30, -23?\n\"Answer: 7*g - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -55.3 bigger than -1914?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*d**4 + 903365*d**3 - 40791218000*d**2 - 1102021537500*d.\nAnswer: -5*d*(d - 90350)**2*(d + 27)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -154*r**3*y - 8*r**3 + 206*r*y - 2*r - y - 1128 wrt y.\nAnswer: -154*r**3 + 206*r - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6 + 6\/(-3) + 15. Suppose 0 = 2*n - b - 13. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*i - 114*i + 1047033 = -1492245. List the prime factors of i.\nAnswer: 3, 2879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the first derivative of -w**4\/4 + 83*w**3\/3 - 81*w**2 + 6433. Factor h(x).\nAnswer: -x*(x - 81)*(x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 393 + -393. What is the closest to -2\/3 in j, 1\/5, 2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes before 1:33 PM?\nAnswer: 3:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 265 + -318 - (61 + 5)?\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 88 is divided by 26?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(931)*-6 + sqrt(19))*1.\nAnswer: -41*sqrt(19) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the second derivative of y**3\/3 - 3*y**2 + 3*y. What are the prime factors of r(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 148239908?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -331803 and -0.2.\nAnswer: 66360.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 37718921497 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 37577*m - 37583. What is x(1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that f**3\/2 - 272*f**2 + 2701*f\/2 - 1617 = 0.\nAnswer: 2, 3, 539","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:46 AM and 6:38 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1959*c**3*o**2 + 29*c**3*o + 310638*c**2*o**2 wrt c?\nAnswer: 11754*o**2 + 174*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 167 a factor of 38410?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4942 by -353.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -47*u - 71 + 370 + 1393 for u.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w + 12 + 3. Suppose -52 = -2*t + 4*o + 60, -w*t + 3*o + 156 = 0. What is the remainder when 94 is divided by t?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 - q)*(2*q + 0 + 0) - 5*q**2 + 2*q**2 + q**2 + (1 - 1 - 2*q**2)*(17 - 85 - 2) as f + z*q**2 + n*q and give z.\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + t = 3*t + 138, 3*h + 5*t - 136 = 0. Let q = 36 - h. Let k be -23 + 19 - (0\/2 + q). Let j(w) = -w - 1. Calculate j(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*b + 2*b + 1533 - 1532, 6*y + 5 = -b for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the first derivative of -o**7\/735 + o**5\/70 + o**4\/42 - 9*o**2\/2 + 26. Let p(z) be the second derivative of m(z). Factor p(q).\nAnswer: -2*q*(q - 2)*(q + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 2*a**2 + 6*a - 4. Determine x(-5).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/18021014 and 12\/74467.\nAnswer: 18021014","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 129 + -253\/2. Let w = 857\/1445 + 2\/289. Which is the nearest to -0.03? (a) v (b) 1 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 + (9\/(-15))\/(-4*2\/(-40)). Let f = -4 - -2. What is the nearest to -2 in f, u, -2\/33?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (49 - 41 - 9)*19.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 498 and 366.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -9*p**3 + 10058*p**2 - p + 568883?\nAnswer: -27*p**2 + 20116*p - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times 0.013106?\nAnswer: 0.013106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 13117 + -1?\nAnswer: 13116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes after 6:48 AM?\nAnswer: 11:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 24*p + 2. Let t(u) = -22*u - 1. Let i(d) = -5*o(d) - 4*t(d). Let k(g) = -1376*g - 256. Let y(f) = 128*i(f) - 3*k(f). Let l(v) = 2*v**2. Give y(l(n)).\nAnswer: 64*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(-2)*(-3)\/2. Let r(n) = -n - 9. Let k be r(-11). Which is the second biggest value? (a) k (b) 1\/3 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_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: Which is the second biggest value? (a) -4\/7 (b) 0.3 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h = -2*h + 40. Let x(b) = b**2 + 8*b - 10. Suppose -3*q - 14 = 4*u, -2*q - 4 = 2*u + 2*u. Let s be x(q). Solve -3*t + s = -h*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102928392 divided by -5?\nAnswer: -102928392\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 20*m**2 + 22*m**2 - 41*m**2. Let g(b) = -145*b. Let r(w) = -8*w. Let t(u) = 6*g(u) - 110*r(u). Give t(y(q)).\nAnswer: 10*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-13)\/2)\/((-7)\/(-42)). Let y = w + 250. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*f**3 - 62760 + 31301 + 2*f**3 + 31459 - 3*f**3.\nAnswer: -5*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27, -256, -727, -1386, -2233, -3268?\nAnswer: -4491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000892 rounded to six dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes after 4:14 PM?\nAnswer: 10:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4347 - 4318. Solve -l*b - 59 + 175 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -341.9, 3, 0.1, 0.3, 11?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3 and 37?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12 - 31. Let z = 36 + i. Is z a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*a*c**3*t**3 + a*c**3 - a*c**2*t**3 - 12*a - 53*c**2 wrt c.\nAnswer: 12*a*t**3 + 6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -121\/496 - -7\/124. What is the common denominator of 21\/88 and u?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3480944745.\nAnswer: 3, 5, 5281, 43943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 + 0. Let a = -1 + d. Round a to 0 decimal places.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1232 = 531*d - 3343 - 4452 for d.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/3*(0 - (2 - 2)). Let i(n) = n + 12. Determine i(r).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 74*s**2 + 12*s - 19. What is z(-3)?\nAnswer: 611","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 453*s - 173. Let o(b) = -378*b + 144. Let u(l) = -5*a(l) - 6*o(l). Suppose 2*p + 4 = 7*z - 2*z, z - 33 = 5*p. Calculate u(p).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/10, -4, 76, -5 in descending order.\nAnswer: 76, -3\/10, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-92)\/207)\/(4\/18)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*n - 25*n**2 + 3*n + 14*n**2 as l*n + o*n**2 + b and give o.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -26 - 28\/(-2) - (-11 - 0). Let p = 6 - 1. Sort a, 4, -4, p.\nAnswer: -4, a, 4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/21*(45864\/390)\/(-14)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 15856 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -61101\/4 - -418899\/28. Let s = -314 - y. Which is the second biggest value? (a) 0.1 (b) -2\/3 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -112 - -112.00000188. Round x to 7 dps.\nAnswer: 0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3217675107.\nAnswer: 3, 229, 4683661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/11, 0, -361, 174, -1 in ascending order.\nAnswer: -361, -1, 0, 1\/11, 174","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.96 and -43.\nAnswer: -41.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -328*o**2 - 3891*o**2 - 1770*o**2 in the form p*o + v + j*o**2 and give j.\nAnswer: -5989","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 12 = -4*b. Suppose a + f - 1 = b*f, 5 = a + 3*f. Let 4\/7*l**3 + 0*l**a - 4\/7*l + 2\/7*l**4 - 2\/7 = 0. Calculate l.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22 - (1 - 53 - (-1110 + 1118))\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 44 and 220?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 993745, 1987642, 2981677, 3975844, 4970137, 5964550, 6959077?\nAnswer: 7953712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the third derivative of 1619*t**9\/252 + 37*t**5\/20 - t**4\/12 - 793*t**2. What is the third derivative of h(r) wrt r?\nAnswer: 388560*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 2049599?\nAnswer: -4\/2049599","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 3)*(-3*z - 3*z + 4*z)*(79*z**4 - 147*z**4 + 159*z**4).\nAnswer: -182*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = b - 46444. Let n = b - 3824. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a + 5*c - 16 + 3, -4*c + 8 = 0. Let r = a + 5. Calculate the lowest common multiple of 14 and r.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -7*t + 2*t + 16, 3*z = -2*t + 2. What is the tens digit of 13\/(z\/(-1*2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (8\/(-4) - 0) + -873. Let d be (6\/(-15))\/(5\/c). Let l = d - 46. Does 5 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 189234 or -9?\nAnswer: 189234","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1432\/19332*2\/4)\/(2\/198)?\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1854 + -4418. Let l = -35953\/14 - d. What is the common denominator of 33\/4 and l?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 12275, -5, 1099 in decreasing order.\nAnswer: 12275, 1099, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -5, 9, -4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k - 3*k + 0*k)*(-3*k + 0*k**2 + k - 6*k**2).\nAnswer: 6*k**3 + 2*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 140 and 680.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-104)\/15*51\/34)\/((-75)\/(7125\/38)).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 177 and 3.\nAnswer: 531","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.06 in 0.2, -3, -1548, 2\/61?\nAnswer: 2\/61","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16068\/4944)\/((-39)\/3).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 498 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65084?\nAnswer: 2, 53, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*j + 16 - 7*j + 16*j.\nAnswer: 3*j + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s + 1. Suppose 10*h + 10 = -0. Let k(z) = 2*z + 5. Give h*k(n) - 4*x(n).\nAnswer: 2*n - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-83*w**2 + 0*w + w + 70*w**2)*(-5*w - 5 + 5)*(0 + 0 + 132*w - 186*w) as o*w**4 + r*w + f + m*w**2 + p*w**3 and give p.\nAnswer: 270","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 22904?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the third derivative of k**4\/6 - 11*k**3\/3 + 17*k**2. Let d be r(9). Let v(j) = 3*j - 17. Is v(d) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 14\/(-28)*(-751052)\/53646 - 7. Do 0 and w have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gjltgljgjjjggljgjty. Give prob of sequence yj.\nAnswer: 7\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 + 1010000010111010110101001?\nAnswer: 1010000010111010110101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**3 + 25*y**2 + 109*y - 461. Determine j(-17).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the third derivative of -o**7\/21 + o**3\/2 - 23*o**2. Differentiate m(r) with respect to r.\nAnswer: -40*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -8) + -40 - (-34 + 26)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-1 - (-1094)\/(-10))\/((-51)\/850)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 131851 is divided by 3628?\nAnswer: 1243","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -312 * -33.5211\nAnswer: 10458.5832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - v = 18, 40 = 3*h - 4*v - 10. Suppose -3*d - 4*a = h, -3*d + 3*a = -d - 8. Let n(p) = -29*p + 2. What is the units digit of n(d)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.1 less than -670141238?\nAnswer: -670141240.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2979?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-10 + 11 - 8*u - 10*u)*(130 - 16490*u + 2*u**2 + 16490*u) in the form o*u**3 + x + z*u**2 + d*u and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m when three letters picked without replacement from mmdmmmmmmmmmm?\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 99 is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 256? (a) -1\/9 (b) 16 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 8*w**2 + 3*w - 1. Let j = -11 + 13. Let u be 5\/2 - j\/(-4). Let o be d(u). Calculate the highest common factor of 10 and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*t = 5*t - 53010. Calculate the highest common factor of t and 90.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-460)\/(-598) - (-88)\/(-520).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 11031413 - -3?\nAnswer: 11031420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11474355 and 138.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 18\/5 of a milligram?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53*o**2 + o**2 - 566*o + 571*o.\nAnswer: -52*o**2 + 5*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 194 and 614?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 divided by -82?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes before 2:19 AM?\nAnswer: 9:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand t**2 - t**2 + 2*t**5 + t**5 + t**4 - t**4 - 2*t**3 + 2*t**3 - 13*t**5 + (-5*t**2 + 3*t**2 + t**2)*(2*t - 2*t + t**3) - 4*t**5 + 2*t**5 + 0*t**5.\nAnswer: -13*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1007*o - 3 - 1007*o + 3 - 190*o**2.\nAnswer: -190*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10 + 14. Suppose 0 = 4*m + 3*y + c, -2*m + y = 6 + 6. Let h(d) = -10875*d**2. Let t be h(m). Round t to the nearest ten thousand.\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.97 - 2. Let p = f - 0.37. Let g be -1 + 12\/(-105)*-5. What is the nearest to 0.2 in p, -4\/7, g?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 186?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (6*(sqrt(18)*-2 + sqrt(18)) + (1*sqrt(72))\/sqrt(4))\/(6*1*sqrt(441)).\nAnswer: -5*sqrt(2)\/42 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 104\/2340 - (-238)\/(-19530).\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 75*h - 1208 - 1792. Calculate the smallest common multiple of h and 144.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 27 (b) 1\/5 (c) -10 (d) -3\/7 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12*a**2 + 397*a + 73920 wrt a.\nAnswer: 24*a + 397","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one twentieth of a hour?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**2 - 4*m - 3. Let c be j(5). Let v be (-2)\/(-3)*(c + 1). What is the tens digit of ((-4)\/(-12))\/(v\/60)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12 and 9?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -1142*g - 218. Let w(a) = -17. Let z(u) = -p(u) + 5*w(u). What is the derivative of z(t) wrt t?\nAnswer: 1142","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes after 8:22 AM?\nAnswer: 5:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 - 2)*(9 + 7 + 4)*(79*q**2 + 75*q**2 - 152*q**2 + 181*q).\nAnswer: -40*q**2 - 3620*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the first derivative of -2*m**3\/9 - m**2\/9 - 10. Solve s(q) = 0.\nAnswer: -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 4*d + 567, 3*o + o = d + 145. Let f = d + 200. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*w - w - 21541 = 0. Let r = w - -4233. Let l = 3853 - r. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.12 - -0.3. Let v = -2149 - -2149.1. Put p, v, -3 in ascending order.\nAnswer: -3, v, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3267449365?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pkxk when four letters picked without replacement from uxukyxxgukpuxpuuu.\nAnswer: 1\/3570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 61 + 1. Let i = -22892412 + 22892473.999988. Let f = m - i. What is f rounded to 5 dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.7 + -96.6.\nAnswer: -94.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*z + 8*z**2 - 19 + 2*z**3 + 8*z + 19 as r + g*z**3 + c*z + s*z**2 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**2 + 10*r - 20. Let y be z(5). Sort 3, y, -4, -5 in ascending order.\nAnswer: -5, -4, 3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(192)*-1 + 5 - -6*(0 + sqrt(192) + 1)) + 4)**2.\nAnswer: 1920*sqrt(3) + 12513","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -74, -285, -612, -1037, -1542?\n\"Answer: 3*u**3 - 76*u**2 - 4*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2585 * -3.\nAnswer: -7755","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(11) + sqrt(88)\/sqrt(8) + -1) - sqrt(66)\/(sqrt(60)\/(sqrt(20)\/sqrt(2))).\nAnswer: -1 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*i + 12*i - 138 = 0. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 3*m - 1 + 0*m - m - m**2. Let g be a(1). Factor g*n**2 + 1\/2*n**3 - 1 - 3\/2*n.\nAnswer: (n - 2)*(n + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -821 + 15602\/19. Sort -1\/5, 8, w in decreasing order.\nAnswer: 8, w, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*(f\/f**(-2\/3))\/f)**13*(f\/(f*f**(2\/11)\/f*f*f))\/f**(-2\/17)*f\/(f*f\/(f*f**0))*f\/f**(1\/6)*f**(-3\/11)\/f*f**(-9) assuming f is positive.\nAnswer: f**(4175\/374)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21420010 (base 6) to base 14.\nAnswer: -12946a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -7*v. Let x(t) = -t + 12. Suppose 0 = 3*g + 2*y - 22, -g - 2*g + 28 = -4*y. Let l be x(g). Let a(r) = -r**2 - 4*r + l*r + 2*r**2. Calculate h(a(n)).\nAnswer: -7*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 + 101002012?\nAnswer: 101002021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 23208 - 23241.0618. Let m = -0.7342 + s. Let y = m - -34. What is y rounded to 2 dps?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1392982841 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**3 - 4*i**2 + 2*i - 2. Let q(d) = 5*d**3 - 17*d**2 + 9*d - 9. Let j(a) = -4*q(a) + 18*z(a). Factor j(c).\nAnswer: -2*c**2*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 5*l**3 - 35*l**2 - l + 7. Let t be m(7). Let a be (-2)\/((-6)\/6) - 2 - t. Solve 10*u - 14 - 6 = a for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -156535280*x + 156535330*x - 4050 = 0 for x.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = -c - 5*h, -5*c + 5*h - 29 = -c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*v**3 - v - 7*v + 4*v**3.\nAnswer: v**3 - 8*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 220 = -8*y. Suppose 4 + 0 = 2*r. Suppose -r*d - 4*t = -44, -13 - 52 = -5*d - t. Calculate the remainder when y is divided by d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.52411 or -127?\nAnswer: -0.52411","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 3*i - 5 = 0. Let r(z) = -i + 4 - 4 - z**2 + z + z**3. List the prime factors of r(5).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s*s**(-1\/7)*s))\/(s*s**(-2\/3)\/s*s*s))\/(s**(2\/7)\/(s*s\/s**4*s)) assuming s is positive.\nAnswer: s**(-73\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the first derivative of -i**2\/2 - 3*i - 5. Let n be x(-5). What is the nearest to 2\/11 in -2\/3, n, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -3*f + 1, -f = 4*f + h - 3. Suppose -3*y - 5*c + 20 = -26, -25 = -5*c. What is the lowest common multiple of y and 2 - 1 - -6*f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3025 + 19262. Is 19 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1*(3\/6 + 49\/(-14)). Find the second derivative of -23*c + 0 + 99*c**4 - k - 73*c**4 + 1 wrt c.\nAnswer: 312*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -93585, -187173, -280761, -374349, -467937?\n\"Answer: -93588*l + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 192*g**3 + 1224 + 1099*g**3 - 54*g**3 wrt g?\nAnswer: 3711*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j + 3. Let s be i(-1). What is the tens digit of s\/(-6) + 381\/9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 + -2. Suppose -q - 3 + 5 = f. Suppose -1 = -2*k + y + 23, 0 = -q*y - 8. Is k a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -28 in 0.33, 1\/7, 3, -2\/3181?\nAnswer: -2\/3181","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 543635 is divided by 2460.\nAnswer: 2435","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p = -7889 + 29759. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express l + 0*l + l + (5*l - 2*l - 5*l + (-2*l + 1 - 1)*(2 - 2 + 2))*(3 - 2 + 0) + 3 - 3 + 3*l as y + g*l and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -17ab (base 14) in base 3?\nAnswer: -12212001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2616 is divided by 138?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/10*(4163\/207 + -24).\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*h + 3 - 19 + 11 + 5.\nAnswer: 25*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 - -24. What is the remainder when s is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3258091157 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 44\/13*u**3 + 6\/13*u**4 + 0 + 64\/13*u**2 - 64\/13*u.\nAnswer: 2*u*(u + 4)**2*(3*u - 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - 56 + 80 = 4*c, 0 = 4*n - 11*c - 12 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000604085 rounded to seven decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:16 PM and 7:55 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2289.5 - -539.6\nAnswer: 2829.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 6*v**2 - v + 9. Let x(p) be the third derivative of -p**5\/12 + p**4\/24 - 4*p**3\/3 + 5*p**2 + 7. What is -6*h(g) - 7*x(g)?\nAnswer: -g**2 - g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*l + 31*l**3 + 0*l - 83617 + 83617.\nAnswer: 31*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p - 6 = 3*b, -4*b - p - 3 = -10 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 6*d**2 + 58*d - 2. Let q be u(-10). What are the prime factors of ((-84)\/q*3)\/(1\/(-33))?\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrdnrdrrdnn. Give prob of picking 2 r and 1 n.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 l when two letters picked without replacement from {g: 2, l: 2}.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 654 - 2?\nAnswer: 652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2280048 rounded to 3 decimal places?\nAnswer: -0.228","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 15*l + 14. Suppose 2*p = 5 + 11. Let c be s(p). Suppose 5*i + 619 = 4*v, -2*i + 359 = 3*v - c. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**2 + 4*i + 3. Let j be c(-3). Let x(y) = -y + 14. What is the lowest common multiple of 4 and x(j)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -4*(-35)\/84 + (-14)\/(-6). Sort -1, 3, w, 1 in descending order.\nAnswer: w, 3, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23995?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes after 2:18 PM?\nAnswer: 4:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -8*(-3*8\/(-6) + -6). Let p be 3 + -4*12\/g. Does 1.9 = p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 3 f when four letters picked without replacement from {j: 3, p: 7, f: 4}.\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 3824700 to the nearest 100000.\nAnswer: 3800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1732294673.\nAnswer: 1732294673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 408215128?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 5*o + 1 = 4*h - 4*o, 0 = -3*h - 41*o - 79 for h.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(5))**2*4 - (2*sqrt(5) + 3).\nAnswer: -2*sqrt(5) + 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 325481 is divided by 108407?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and 1.718.\nAnswer: -6.872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 44*x**2 + x + 2. Let g(p) = 88*p**2 + 2*p + 5. Determine 4*g(c) - 9*j(c).\nAnswer: -44*c**2 - c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11\/18 - -143\/72. Find the common denominator of 17\/22 and x.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 594 = 22074. Suppose 96*y - c = 90*y. Is y a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 6 = 2*w + 2, -8 = -4*u. Let k(i) = -5*i**2 + i - 2*i + 3*i**2 - i**w + 3*i**2. What is k(0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -10791*j - 285. Is o(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 40 (b) -0.1 (c) 0.1 (d) -4 (e) -13 (f) -0.07 (g) 17\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = n + 4*t, n - 4*t = -t + 48. Let z = n + -35. Solve 10 = z*s - 6 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes after 10:36 PM?\nAnswer: 10:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(3\/11)*r\/(r*r**(-2\/65)))\/((r**(-1\/5)*r)\/(r*r**(-1\/13)*r*r)) assuming r is positive.\nAnswer: r**(347\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -550, 7566, 33012, 84452, 170550, 299970?\nAnswer: 481376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 57 and 2014?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 4, 5, -315.\nAnswer: -315, 4, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*m - m - 19*m.\nAnswer: -39*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3150120 (base 6) in base 11?\nAnswer: a59a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**3 - 2*o**2 - 113*o - 347. Let a be x(-3). Sort a, -43, -5, -10 in descending order.\nAnswer: a, -5, -10, -43","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 33\/5*z**2 - 2\/5*z + 0.\nAnswer: z*(33*z - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/32685 or 189?\nAnswer: -1\/32685","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 191299?\nAnswer: 191299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*z + z - 2*z**2 - 9*z + 34*z as o*z**2 + i + g*z and give g.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 34091, 34087, 34085, 34085, 34087, 34091, 34097?\n\"Answer: c**2 - 7*c + 34097","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-117)\/(-18) + -5)*-6\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 5.89 and 1919.\nAnswer: 1924.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20125 and 15267?\nAnswer: 43892625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r**2 - 10*r**2 - 24*r**2)*(-11 + 5 + 18*r + 7).\nAnswer: -612*r**3 - 34*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -206b6 (base 14) to base 2.\nAnswer: -10011000101011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*y + 211*y**3 - 31*y + 20*y**3 + 11*y - 232*y**3.\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -3*g**2 - 157*g + 521. Give i(-56).\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -10*s + 5*s. Let o be ((-1)\/s)\/1*-8. Suppose 33*u - 41 - 52 = 6. Solve -3*i = 3 - 18, -o*i = -u*g - 23 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 36*i - 8. Let l be s(-8). Let m = -223789\/35 + 33447\/5. Let y = m + l. What is the smallest value in y, 2\/3, 2\/9?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in seventy-nine halves of a micrometer?\nAnswer: 39500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/4764 and 99\/36524.\nAnswer: 109572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 2 c when three letters picked without replacement from {d: 8, c: 8, p: 4}.\nAnswer: 28\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -2*u**3 - u**2 - 5*u - 7. Let y = -6 - -29. Suppose b = -y + 62. Let d = b - 44. Let q(f) = -3*f**3 - 2*f**2 - 8*f - 11. Calculate d*q(n) + 8*w(n).\nAnswer: -n**3 + 2*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**2\/4 - 1699*n\/2 + 2886601\/4.\nAnswer: (n - 1699)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2033 a factor of 283203516?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 4*-2798\nAnswer: -11192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78 is divided by (210\/(-140))\/((-1)\/36).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-16)*(-112)\/28.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:20 PM and 12:00 AM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -197*w - 575 = -222*w. What is the remainder when 796 is divided by w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -3 + 7*u + 49*u**2 - 1 - 50*u**2. Let d be a(5). Let k be d\/(-9)*(-18)\/4. Is 1 smaller than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 946*z**2 - 2364*z**2 + 709*z**2 + 711*z**2.\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -10*z**2 + 16. Let g(t) = -2*t**2 + 3. Let d be (3 - 4\/(-4))\/(96\/(-72)). What is d*r(j) + 16*g(j)?\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*m**2 - 24*m**4 - 2 + 2*m**2 - 25*m**4 - 6*m**2 as g*m + k*m**2 + l*m**3 + a*m**4 + w and give a.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1136778?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 5 + 0 - (-22 + -24) - (2 - -2).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 - -1076?\nAnswer: 1076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 489 + -525. Which is smaller: q or -47?\nAnswer: -47","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5447 = 24*o - 505. What is the highest common divisor of o and 2294?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -6 (b) 1.3 (c) 54 (d) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Do 24 and 2875\/8 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9447?\nAnswer: 3, 47, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -53 + 61. What is the third derivative of -10*l**2 + r*l**3 - 4*l**3 - l**3 wrt l?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -609*i**2 + 626*i - 1239. What is v(2)?\nAnswer: -2423","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**2. Let o(k) = 8*k - 6. Let g be o(1). Suppose -c + 7 = -1. Let u(h) = c*h + 4*h**g - 8*h. Determine p(u(z)).\nAnswer: -16*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 404177 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 56 (base 13) to base 10\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15\/6)\/((234\/(-108))\/13)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/4, -4, 171, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 3075?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9836?\nAnswer: 2, 2459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 + 7 + 5)*(-1 - 2 + 1)*(z**4 + z**4 - z**4 + 7*z) to y + b*z**2 + s*z + u*z**3 + g*z**4 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:04 AM and 6:37 AM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 + 12. Suppose 0 = 3*s - x*c + 6 + 12, c - 3 = 0. Suppose -2 = -a + 3. Sort s, -4, a.\nAnswer: -4, s, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -x + 2*x + 155, -x = 3*q + 234. Let i = -30 - q. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67465 is divided by 833.\nAnswer: 825","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**2 - 13*d + 65. Calculate the remainder when 39 is divided by c(8).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 + 7. Suppose -o - 4*o + 155 = t. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 + 4. Let b be 22\/4 + (-2)\/4. Suppose b*n - m*v + 8*v - 65 = 0, n - 12 = -2*v. Is 7 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 m when two letters picked without replacement from {f: 7, x: 1, m: 5}.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*h**4*t**2 + 7*h**4*t + 77*h**4 - h**2*t - 17*h*t**2 + 33 wrt h?\nAnswer: 48*h*t**2 + 168*h*t + 1848*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1)\/1)\/(0 - 1). Suppose r - 3 = -3*o - o, 2*o - 9 = r. Let k be ((-6)\/r)\/((-24)\/(-10) + -2). Is k >= i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 3*k - 4*z, -4 = -0*z + 2*z. Is k less than or equal to -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 1\/8, 90\/11?\nAnswer: 90\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*x**4 + 310*x**3 - 240*x**2.\nAnswer: 48*x + 1860","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/3235400 and -87\/1000.\nAnswer: 16177000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9883 is divided by 902.\nAnswer: 863","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 331*v**2. Let l(y) = 154*y + 7. Determine l(h(i)).\nAnswer: 50974*i**2 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 14149445 divided by -2829889\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/(-27)*1 - (-4370)\/(-342). Which is the biggest value? (a) i (b) 1\/3 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i - 1. Let b(q) = -4*q - 9. Let y(d) = b(d) - 5*h(d). Let f be y(4). Suppose 0 = 3*o - 15, -2*m - 2*m - o + 105 = f. List the prime factors of m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -10\/3, -337, -0.1, -4, 1\/5 in decreasing order.\nAnswer: 3, 1\/5, -0.1, -10\/3, -4, -337","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxnxnnnnxxnxix. What is prob of sequence nnx?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(270)\/(sqrt(18)\/(-2*sqrt(2))))\/(sqrt(360)*-4).\nAnswer: sqrt(3)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*z + 293 - 301 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m\/(m*m**13)))**(4\/29) assuming m is positive.\nAnswer: m**(56\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -6 + 11\/(33\/585). Let d = s + -186. Solve 14 = -5*u - 4*l, -2*l = 4*u + d*l + 13 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5510 - 15?\nAnswer: -5525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -4*a. Let l(m) = 4*m + 2052. Let f(q) = -6*q - 3109. Let k(y) = -5*f(y) - 7*l(y). Calculate k(v(g)).\nAnswer: -8*g + 1181","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*(-2 + -1) + -1. Let n be 1\/p*-4 + -4. Suppose -3*i - 2 = -2*i. Which is smaller: n or i?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 64 - 59. Let o = -0.05 + 0.55. Let n = -0.2 + o. What is the third biggest value in -1, z, n?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1297979.\nAnswer: 1297979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10101000 + 101000010001?\nAnswer: 101010111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 4*d - 1. Suppose 0 = -3*l - 2*l + 15. Let y(j) = 74*j - 36*j - 1 - 33*j. What is l*r(b) - 2*y(b)?\nAnswer: 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l + 16. Let j be q(17). Let y(b) = b**3 + 7*b**2 + 2*b + 11. Calculate the remainder when y(-4) is divided by j - (-24 + 1) - 4.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -2*p**2 + 8231*p + 24704. Calculate h(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55*v**3 - 127*v**3 - 1 + 205*v**3 + 0 - 124*v**3 + 1.\nAnswer: 9*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*f + 4 = -46*f. Suppose o = -f*t + 249, 4*o - t = 3*o + 258. Suppose 0 = 10*r - 1145 - o. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**3 + 9*a**2 + a - 4. Let f be t(9). Which is greater: f or 4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 65 or -81431\/4?\nAnswer: -81431\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1415 is divided by 165?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve v = 10*w - 12*w + 3, 5*w - 11 = v for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 15 - 7 = 3*w, 0 = 2*y + w. Let l(c) = -44 + 2*c**y + 44. Let n(t) = -3*t**2 - 2*t. Give l(n(u)).\nAnswer: 18*u**4 + 24*u**3 + 8*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/8 of a decade?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -3*b - 15. Suppose -20 = 3*t + 19. What is the units digit of g(t)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the third derivative of n**6\/60 - n**5\/15 + n**4\/12 + 37*n**2. Solve k(a) = 0 for a.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -2*i + 7 - 2, -2*c - 2*i = -12. Suppose 0 = -3*h + 7 - c. Suppose 0 = -3*l - l. Solve l = -4*v + h*v - 8 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/694 in -7\/4, -4\/3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -217843105*r - 49829085 wrt r.\nAnswer: -217843105","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(352) - (sqrt(352) - 5*2*sqrt(352)))\/sqrt(8)*4*-5.\nAnswer: 2000*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1204 = 224*u - 588. What is the second biggest value in 2, u, 103?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -21*u**2 + 35*u. Let n(l) = l**2 - 2468 + 4924 + 3*l - 4*l - 2456. What is -105*n(q) - 3*r(q)?\nAnswer: -42*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -28 + 303. Let x = g + -274.999656. Round x to 5 decimal places.\nAnswer: 0.00034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**3 + x**2 - x + 1. Let w = 79 - 80. Let f(m) = 4*m**3 + 6*m**2 - 3*m + 2. What is w*f(d) + 3*s(d)?\nAnswer: -d**3 - 3*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 356324 (base 7) to base 9.\nAnswer: 107612","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - -29 - (3 - (-9 - -20 - 6))?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/2307294 and -149\/5943030.\nAnswer: 196119990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6 - 6 - 3*n**5 - n**4 - n**2 + (1 + 2*n**4 - 1)*(-n + 4 - 4).\nAnswer: -5*n**5 - n**4 - n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(144) + -6*sqrt(144)*1)\/(sqrt(144)*1))\/((1*sqrt(120)*1)\/(-3*sqrt(90))).\nAnswer: 15*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 977330369 to the nearest integer?\nAnswer: 31262","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 670441 is divided by 406?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the third derivative of 0 - 23*a**2 - 23\/24*a**4 + 0*a**3 + 0*a. Let y(z) = 4*z**2. Give y(b(k)).\nAnswer: 2116*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*2*sqrt(228))\/sqrt(12) - 2*(sqrt(1216) + (sqrt(1216) - (sqrt(1216) + sqrt(1216)*-1)**2 - sqrt(1216)) + sqrt(1216)).\nAnswer: -36*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1\/2 + 0. Let a = 5 - 10. What is the third smallest value in a, k, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10 + 24. Let g = f - 5. What is the highest common factor of g and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 36, 1, -3, -4, 0 in decreasing order.\nAnswer: 36, 2, 1, 0, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 336 = 6*d - 2*d. Suppose -p + 53*r + 13 = 52*r, p - 1 = 4*r. What is the remainder when d is divided by p?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 18*j**2 - 3*j. Let h(f) = 43*f + 1259. What is h(d(c))?\nAnswer: 774*c**2 - 129*c + 1259","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**3 - 4*i**2 - 6*i + 7. Suppose -4*n = -8*n + 20. Let s be x(n). Suppose -s*u = u + 12. Which is the biggest value? (a) u (b) 0.4 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 109203114001 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 11*s + 13. Let j(g) = 1 - 11*g - 5*g - 20. Let t = -4 + 11. Let q(m) = t*b(m) + 5*j(m). Determine q(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 362816395 to the nearest integer?\nAnswer: 713","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -665147.7 rounded to the nearest ten thousand?\nAnswer: -670000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3 - -8)*3\/15 - 3620001. Round j to the nearest one hundred thousand.\nAnswer: -3600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-3*5)\/3)\/(12\/(-5760)). Calculate the highest common divisor of 288 and f.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 46, 0.2, -3, -7.8819 in descending order.\nAnswer: 46, 4, 0.2, -3, -7.8819","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -4699*m - 3986*m - 742*m - 1558*m in the form a + u*m and give u.\nAnswer: -10985","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -8925 and -14.\nAnswer: 124950","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -780*b*h**3*v**2 - 2*b*h**3*v + 31*b*h**2 + 2*b*h*v - 2*v wrt v?\nAnswer: -1560*b*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -961 + 963. Let s(v) be the third derivative of 0 - 1\/270*v**6 + 0*v - 11*v**l + 0*v**3 - 1\/945*v**7 - 1\/270*v**5 + 0*v**4. Find u, given that s(u) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5.42 - 0.38. Let i = m + -0.2. Which is the third smallest value? (a) -0.1 (b) i (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (48 - 18 + 38)*(2 - 2 + 2*d) in the form b*d + i and give b.\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -19, 13\/17, -0.07, -4, 1\/5?\nAnswer: 13\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -39, 3, 177, 567, 1257, 2331?\nAnswer: 3873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2941 + -2553.4. Which is greater: u or 0.1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1.7 and 12725276.\nAnswer: 12725277.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l - 4. Let p be x(6). Suppose -6 = p*b - 18. Is 6 less than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**3 + 7*n**2 - 2*n + 14. Give m(-6).\nAnswer: 494","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + 3. Suppose 5*o - 5*u - 5 = -0*u, -o - 3 = -2*u. Suppose 0*w + 147 = 2*w - o*t, -d*t = -w + 81. What are the prime factors of w?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 341 - 331. Suppose 402 = -w*f + 832. Calculate the remainder when f is divided by 31.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23580 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: Solve 4*y = -3*x - 43, 4*y + 4*x - 38 + 90 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, 0.4, 0.1, 36\/17?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-15 - -17) + -9 + -7 + 8 - -2\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 321 - 26*p - 321 in the form a + d*p and give d.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-210)\/49 + -6 + 10\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2282.\nAnswer: 2, 7, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 6825670 less than or equal to 61431043\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 144*w - 12 = 141*w. Let c(n) = -2*n + 28. Let j be c(w). Solve 0 = 2*q - 3*m - 12, -q - q = -5*m - j for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*k**2 + 150*k**3 + 152*k - 130*k - 5*k**2 wrt k?\nAnswer: 900*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -36\/24947?\nAnswer: -36\/24947","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 49765184 to the nearest integer?\nAnswer: 7054","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 41*a**3 + 5*a**2 - 3366?\nAnswer: 123*a**2 + 10*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 76*d**3 - 143201*d**2 + 544000767*d?\nAnswer: 456*d - 286402","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 4*v - 3*r = -13, 0 = -3*v + r - 63. Which is the second biggest value? (a) 5 (b) -1\/8 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*y - 2*w - 4, -83*y - 22 = -82*y + 4*w for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h + 0 + 0)*(250 + 80*h**2 - 250)*(-3440 + 3440 + 154*h).\nAnswer: -24640*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one fifteenth of a decade?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 411675 a multiple of 337?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 divided by 125217.\nAnswer: -23\/125217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 635804 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n*n**(-1\/6))\/n)\/(n*n\/(n*n\/n**12*n))*(n**(-1))**(-18))**(-5\/13))**(-1\/20) assuming n is positive.\nAnswer: n**(41\/312)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 12017005, 24034007, 36051005, 48067999, 60084989, 72101975?\n\"Answer: -2*u**2 + 12017008*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3933726 by -86.\nAnswer: -45741","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-703*d**4 + 302*d**4 - 135*d**4 - 631*d**4)*((2 + 2 - 2)*(-1 + 1 - 6*d) + (-2 + d + 2)*(2 - 3 + 0) - 2*d + 5*d - 4*d - 1 - 2*d + 1).\nAnswer: 18672*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 63 + -41. Round o to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and -110.03?\nAnswer: 220.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4820, 8, 3, 2 in increasing order.\nAnswer: 2, 3, 8, 4820","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 78 + -72. Suppose 2*v - 2*l - 16 = -v, v = l + u. Suppose -3*g + 21 = g + t, -v*g = -3*t - 1. Solve g - 29 = -5*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2466, -4816, -7182, -9558, -11938, -14316?\nAnswer: -16686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (12\/(-5))\/(3\/(-20)). Suppose 0 = -2*y + m. Solve 3*s + 3*f + 9 = y*f, s - 5*f + 13 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 + 9. Suppose -2*x + 2*i + 11 = -3, -4*i = r*x. Solve -6*j + 5*j = x for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in twenty-five quarters of a meter?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (-252)\/45 - 7?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9*(-82)\/4920)\/((-1)\/(-35)*6)?\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 693*m - 9243 = 930*m for m.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 - -16. Let f = 2 + -1. Let w = 4 + f. Solve -2 - q = -w*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:02 PM and 12:40 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 412841?\nAnswer: 11, 13, 2887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1342 + -1340. Factor 0*p**h - 3\/4*p**3 + 3\/2 + 9\/4*p.\nAnswer: -3*(p - 2)*(p + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -217 - -245. Is y a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 531*n = 527*n + 8, 3*w - 5*n = 11 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 12317, 98120, 330805, 783812, 1530581, 2644552, 4199165, 6267860?\n\"Answer: 12240*b**3 + b**2 + 120*b - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 80b (base 13) in base 14?\nAnswer: 6d5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.5 (b) -3 (c) -0.05 (d) 2\/3 (e) 0.004\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 317*i**3 - 453*i**2 - 2*i - 2. Let v(g) = g**3 - 8*g**2 - g - 1. Let d(z) = -u(z) + 2*v(z). Find the third derivative of d(k) wrt k.\nAnswer: -1890","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/2)\/(5*15\/(-400)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 266 is divided by 25?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -3*q - 5. Let d be l(-6). Let k be ((-12)\/18)\/(4\/42). Let a(s) = -8*s - 4. Let j be a(k). What is the highest common divisor of d and j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (25\/(25\/8) + -27)\/((-2)\/4534) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 103032 a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5381 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -79181, -158367, -237553, -316739?\nAnswer: -395925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 216*z - 48 = 213*z + d + 19, -5*d - 146 = -6*z for z.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + t = -21, g + g + t = -13. Let j be (-1*3\/(-6))\/((-2)\/g). Calculate the greatest common divisor of 71 and j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < 34\/19355?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*w + 15. Suppose -3*x = w, -108 = -a + 3*x + 157. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wbszzziwslzlilillill. What is prob of sequence ll?\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 6 = -2*p + 30, -33 = -4*o - 3*p. Find the second derivative of 6 - r - 3*r - 5*r**3 - o wrt r.\nAnswer: -30*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -691 + 691 - 478283*a**2.\nAnswer: -478283*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z - 2*z - 15 = 0. Solve -4*m = 5 + z for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -4*l - 58. Let p be f(-15). Find the first derivative of -202 + 231 - 16*r**2 + p*r**2 wrt r.\nAnswer: -28*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 791, 1593, 2393, 3191, 3987?\n\"Answer: -v**2 + 805*v - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 89*m**2 + 147*m + 2 wrt m.\nAnswer: 178","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, 19, 2\/7, 194\/87, -0.5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -2*r + 6, 9 = -2*h - 0*r - 5*r. Let o = h + -5. Suppose z + 15 = o*z - c, 0 = -4*c - 20. Does 2 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18137 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 4)*(-39 + 17 + 11)*(83 - 83 - 74*q).\nAnswer: -3256*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*n = 8*n - 8, w + 24 = -5*n for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + 1)*(0*l**3 + 3*l**3 - 2*l**3) + (2*l**3 - 2*l**3 + l**3)*(3 - 5 + 4) - 3*l**3 - 4*l**3 + 4*l**3.\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(128) + sqrt(128)*-2)**2 + -4 - (0 + sqrt(288) + -1 - 6*(sqrt(288) + 1))**2).\nAnswer: -7128 - 840*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.93525 grams to kilograms.\nAnswer: 0.00593525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -616, 8, 15\/2, 6 in decreasing order.\nAnswer: 8, 15\/2, 6, -616","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-7)\/n)**(-28)*(n*n**(5\/8))\/((n*n*n**(-2\/3))\/n) assuming n is positive.\nAnswer: n**(5407\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.46 - -0.04905.\nAnswer: -1.41095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:45 PM and 1:57 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p = 2*p + 15. Suppose -831 = 5*w + 3*r, -p*w - 117 = -5*r + 402. What is w rounded to the nearest ten?\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -365*h**3 - 204*h**2 - 4*h - 5697 wrt h?\nAnswer: -2190*h - 408","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 941*d**6 - 102*d**2 wrt d.\nAnswer: 112920*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3063 is divided by 397.\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59*i - 70*i + 180*i - 70*i.\nAnswer: -19*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*m**5\/7 + 20*m**4\/7 - 44*m**3\/7 - 8*m**2 + 110*m\/7 + 100\/7 = 0. What is m?\nAnswer: -1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-20 + 2)\/((-3)\/16). Let s = -42 + w. Suppose -8 = 2*d, 2*d + 84 = 5*b - 14. Calculate the greatest common factor of s and b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1091.489 + 1091. Let f = y + 0.449. Let h be 1\/15 + (-2)\/5. What is the third biggest value in h, 0.2, f, -5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + 2*z - 15 = 5*z, 0 = 16*z + 32 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4518?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 - -2)*(7 + 4). Calculate the greatest common factor of 88 and i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -5686, -42 in decreasing order.\nAnswer: 4, -42, -5686","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 177 - 171 - (0 + 1 + 11 + 1).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 563156 - 29691836943\/52724. Is -1 equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-37 + 32*r + 37)*(4 - 4 + 6*r).\nAnswer: 192*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8287, 16567, 24847?\nAnswer: 33127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 4*s - 6. Let w(t) = t - 2. Let i be ((-1092)\/208)\/((-1)\/4*3). Determine i*w(n) - 2*u(n).\nAnswer: -n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -116*f - 24 = -120*f. Suppose -f*s + 13*s - 28 = 0. Sort 1, -5, 7, s.\nAnswer: -5, 1, s, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = 5*x - 55, -309*x - 109 = -314*x + 4*a. Let b(l) = 3*l**2 - 51*l + 2. What is b(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 748 and 442.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 34 and 68374?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**3 - 5*y**2 + 6*y - 4. Let k(m) = m**2 + 8*m + 1. Let d be k(-7). Let h be q(d). Let a be h\/(-16) - (-3)\/(-12). Solve -4 = -4*z - a for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 1374016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2080 or 2076?\nAnswer: 2076","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -41421, -41422, -41423?\nAnswer: -41424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the third derivative of q**5\/30 - q**4\/24 + q**3\/2 - 3*q**2. Let k(h) = -5*h - 1. Let o be k(-1). Is 13 a factor of u(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15 + -11. Let m = 0.68 - 0.58. Is c != m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5396 divided by 71.\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*q**2 + 8*q - 11*q + 2*q**2 + (q - 6*q + 3*q)*(5*q - 8*q - 10*q) - 3*q**2 + 4*q**2 - 3*q**2.\nAnswer: 23*q**2 - 3*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*o**3 + o**3 + 4*o**3)*(0*o + 3*o - 2*o - 2*o - 2 + 2 + (-2 - 1 + 5)*(0*o - 5*o + 3*o) - 2*o - 2 + 2).\nAnswer: 7*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60132 is divided by 60118.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15 + 19. Let h = 0.1 + 0.1. Which is the third smallest value? (a) h (b) -4 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -5, -178, 4, -1 in decreasing order.\nAnswer: 4, 1, -1, -5, -178","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.53549 rounded to three dps?\nAnswer: 0.535","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 - 6*p**2 - 3*p + 11. Let x be w(6). Let u = 1.6038 + -0.7038. Is x smaller than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**3 - w**2 - 3*w - 2. Let p = -24 - -27. Let c be (7 + -2)*p\/(-5). Let r(d) = -d**3 + 2*d**2 + 4*d + 2. What is c*r(q) - 4*k(q)?\nAnswer: -q**3 - 2*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 308676249?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d\/d**(3\/7)*d)\/d)\/d**1)\/((d\/(d**(-7)\/d))\/((d\/(d\/(d\/((d*(d*d\/d**(-4))\/d*d)\/d))))\/d)))\/((d**4*d**(-5\/6)\/d)\/((d*d\/d**3)\/d**5)) assuming d is positive.\nAnswer: d**(-991\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24 and 111516?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -198.1 + 197.9. Which is the fourth smallest value? (a) -6 (b) -5 (c) l (d) 1.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*x + 5692 = 4*y + 41*x, y - 1391 = -5*x. Calculate the smallest common multiple of y and 48.\nAnswer: 22896","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -214 - -224. Suppose 4*x - 15*b + p*b - 3880 = 0, 3*x + 5*b - 2875 = 0. What are the prime factors of x?\nAnswer: 5, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -45.7 - -46.1. Let a = -13 - -18. Suppose a*j - 4 = -r, -2*j + 4 = -r - r. What is the nearest to r in 5, o, 2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + -7 + 8 + 5 + 1 + 0?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1666\/105)\/(-14) - -1?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.2238337 rounded to three decimal places?\nAnswer: -2.224","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:30 AM and 6:48 PM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 212244421 (base 5) to base 6\nAnswer: 31142334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 192006, 192009, 192012, 192015, 192018, 192021?\nAnswer: 192024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15320 + 13902. Which is the smallest value? (a) 3\/8 (b) p (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 93091\/8 + -11636. Let i(d) be the third derivative of 0 - 3\/20*d**6 + 7*d**2 + 0*d**3 + 0*d**5 + 0*d + y*d**4. Find the second derivative of i(u) wrt u.\nAnswer: -108*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -v**2 - 41*v**3 + 27*v**3 - 3*v + v in the form p*v**3 + k*v + t*v**2 + j and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 85*u**3 + 2*u**4 + 14*u - 159*u**2 - 2 + 159*u**2 + 16*u - 31*u to n*u**2 + k*u + t + h*u**3 + r*u**4 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 10639*l**3*n - 5900*l**3 - 1 wrt n?\nAnswer: 10639*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 150 is divided by 81.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 965?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -141*x**3 - 2671*x**3 + 576*x**3 - 4169*x**3 + 189*x**3.\nAnswer: -6216*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -6740*t + 2. Let p(n) = 148865*n. Determine p(u(f)).\nAnswer: -1003350100*f + 297730","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 111*q**3 + 3*q - 43 wrt q?\nAnswer: 666*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - y - 1 + 2)*(-3*y + 8*y + 2*y).\nAnswer: -7*y**2 + 14*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 116786004?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 5 + 4)*(-517*g + 5431*g**2 - 5430*g**2 + 1 + 0).\nAnswer: g**2 - 517*g + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 8*q**2 + 391*q - 10428. Give r(-68).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 14136198 less than 2?\nAnswer: -14136196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**2 - 508452*l + 64630859076.\nAnswer: (l - 254226)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i + 8, -5*s + 3*i + 18568 + 15056 = 0. Let d = s - 10226. What is d rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is a1 - 1533?\nAnswer: -1492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**3 + 11*w**2 + 10*w + 11. Suppose 0 = 3*j - 5*j - 18. Is f(j) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(1539))*3.\nAnswer: -6 + 27*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -r**4 + 5*r**3 - 3*r**2 - 3*r**3 - r + 3*r**4 to the form y*r**4 + p*r + c + q*r**3 + j*r**2 and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 57314 - -100?\nAnswer: 57414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*a + 17563 = -948*a - 368*a for a.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 125 and 712050.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49*(-3)\/((-33)\/77) is divided by 320.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2531, -5067, -7651, -10307, -13059?\n\"Answer: -4*r**3 - 2508*r - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/272 and -1\/40?\nAnswer: 1360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1936*l - 960 = -1956*l. Sort -1, -4, l, 2, -5 in increasing order.\nAnswer: -5, -4, -1, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -130*n. Let q(h) be the first derivative of -h**2 - 2115. Calculate q(y(w)).\nAnswer: 260*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*r - 312 = 26*r + 390 for r.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*d + 486 - 1356 = 0. Is 2 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 3403844?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -66248 by -4732.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:36 PM and 12:58 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 34 - 32 = -3*o, 0 = o + 3*b + 4. Let 5\/3 + 7\/3*q**o + 11\/3*q + 1\/3*q**3 = 0. Calculate q.\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -3, 9, -4, -158, -2 in ascending order.\nAnswer: -158, -4, -3, -2, -1, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4889646 litres in millilitres?\nAnswer: 488.9646","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the second derivative of -j - 1\/4*j**4 - j**2 - 1\/2*j**3 + 1\/10*j**5 + 0. Let d be p(3). Solve 5*o = -d - 4 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(5) + sqrt(5) + 0 + 3.\nAnswer: 2*sqrt(5) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -328104 by 1519.\nAnswer: -216","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6149 - 10*l**3 + 172 + 3*l**3 + 4*l**3.\nAnswer: -3*l**3 - 5977","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**5\/r**7)\/(r**2)**(8\/7))\/((r**(2\/3)\/r)**(2\/39)\/(r**(1\/5)\/(r*r**(5\/2)))) assuming r is positive.\nAnswer: r**(-61987\/8190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*u - 4*u + 160 = 0. Is u at least -20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 180\/(-2)*(308\/(-21) + 14) + 5. Which is the nearest to 0.1? (a) p (b) 2\/5 (c) 3 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 81 + -79. Suppose 0 = 2*p - x - 851, -g*p + 3*x + 857 = -0*p. Suppose -140 = -6*y + p. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 l when two letters picked without replacement from {l: 2, s: 2, u: 8}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 153236 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 2 = 4. Let l = 6 - j. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + (-1)\/(-2))*18\/45.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2835563 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bxzxblbcdbxxxbxxzbdx. Give prob of picking 2 b.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -3, 1\/6, -2\/3, -1.1, -1465, -0.3?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.2, 14, 0, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 p, and 1 k when three letters picked without replacement from ktikzztzptkktpb.\nAnswer: 32\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t + 2*x + 48, -2*x - 19 = -2*t - 5*x. Solve 2*c - 5*j = -j + t, -c - 5 = 4*j for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 135 + -56134?\nAnswer: -55666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**2 + 3*p - 8. Let q be r(-6). Let f(z) = -z**3 - 4*z**2 + z + 5. Let x be f(-4). Which is the biggest value? (a) q (b) 5 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 40*i + 4. Let u be c(2). Suppose 0 = 4*b - 3*b - u. Does 21 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5+-3686.52882408\nAnswer: -3691.52882408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 1)*(4 - 4 + s) - s + 2*s + s + 3*s - s + 0*s + 3*s + s - 2*s + (-3*s + s + 3*s)*(-3 - 6 - 4) + s - 5*s + 6*s.\nAnswer: -4*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.18 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - (33 + 6)) + (-83 - -68) - 19.\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5b944 (base 13) to base 2.\nAnswer: 101001001001100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.13, -4, -1\/4, 2\/77, 50?\nAnswer: 2\/77","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1111220 - 212?\nAnswer: 1111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.03 (b) -0.318 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -138 - -329.\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2182800 a multiple of 1605?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 55\/690 - (385\/(-1925))\/(6\/(-5))?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -189, -99, 263, 897?\n\"Answer: 136*v**2 - 318*v - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**3 - 54*t**2 - 839*t - 3570.\nAnswer: -(t + 7)*(t + 17)*(t + 30)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.03325281741 to four dps.\nAnswer: -0.0333","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -54300, -108606, -162912, -217218?\n\"Answer: -54306*v + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.2 (b) -2 (c) 5 (d) -5.9 (e) 1\/8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1049*r**2 - 1668*r**2 - 12 + 12.\nAnswer: -619*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 24*h + 398. What is the thousands digit of s(28)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 2*t**2\/15 + 2425316*t\/5 + 2205809137446\/5 = 0.\nAnswer: -1818987","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 650203978 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + g - 2 = 0, -5*m + 0*m = 4*g - 35. Find the first derivative of -o**m + 7 + 16 - 8 - o**3 wrt o.\nAnswer: -6*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1699 by -3804.\nAnswer: 1699\/3804","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.80133 rounded to three decimal places?\nAnswer: 0.801","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16548\/7092*18\/2.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 150343 + 1?\nAnswer: 150344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is (-14)\/(-35) + (-57663)\/(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.118 - -0.182. Suppose -p + 5*z = 17 + 5, -2*p - 5*z = -16. Let l be 9\/p*1\/(-3). Which is the third biggest value? (a) 0 (b) d (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 9107, 9356, 9605, 9854?\n\"Answer: 249*b + 8858","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2342.2 + -2342. Which is the third biggest value? (a) 63 (b) x (c) -1 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 1 = a, -16 = 3*l + 4*a. Let j be 1\/(-4) - (-7 + 735\/84). What is the second biggest value in l, 4\/3, j, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -25113*c - 6428933. Calculate v(-256).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0.05, -5, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 - ((-9)\/(-12)*(-21 - (-781)\/33))\/2?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2500 - 2364. Is k at least 823\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the second derivative of y**2 - 1\/6*y**3 - 1\/12*y**4 + 0 + y. Let k be h(-2). Solve 3*a + 0*a - 12 = k for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(2\/17)*(d\/(d*d*(d*d*(d*d\/(d*(d**3*d)\/d*d*d))\/d)\/d*d)*d*d)\/d*(d**(-2\/9))**(-1\/32))**(6\/5) assuming d is positive.\nAnswer: d**(7649\/2040)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o. Let g(w) be the third derivative of -12*w**2 + 0 + 0*w**3 + 0*w + 41\/24*w**4. What is g(i(h))?\nAnswer: 41*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/4 (b) 67\/54 (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the first derivative of -7*b**4\/4 + 3*b**3 - 9*b**2\/2 - 9*b + 8. Let f(m) = -3*m**3 + 4*m**2 - 4*m - 4. Calculate -9*f(o) + 4*q(o).\nAnswer: -o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 3*v**2 + 9*v + 7. Let o be g(-6). Let b = 38 + o. Suppose -5*r - f + b = 0, -3*r - f = -5*f - 41. Does 15 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwnwjnwj. Give prob of sequence wjjw.\nAnswer: 5\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6817*q - 3414*q + 90 - 3418*q)*(-2*q + 2*q + q).\nAnswer: -15*q**2 + 90*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -4*r - 9. Let q be v(-7). Suppose u - 608 = 53*u + 24*u. Let j = q - u. Is j even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 3*u**2 - 156*u + 705 = 0?\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 375466?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 408 and 7183129?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5.3 in 0.08, 4, 53, -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 63*w**6*z**2 + 120*w**6 + 3*w**2*z**2 + 1167*w**2*z + 14*z**2 wrt w.\nAnswer: 7560*w**3*z**2 + 14400*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5461 and 7251827?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 468 - 246. What are the prime factors of y?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 550 and 700105450.\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1567150 is divided by 638.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 169583104?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -141\/893480 and 99\/2042240?\nAnswer: 14295680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.05 - -0.049944. What is t rounded to five decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*g + 25. Let q be (-8)\/g - 24\/6. Let h = -18 + 55\/3. What is the closest to h in q, -5, -1\/8?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -495*j**2 - 15 + j**3 - 410*j**2 + 1434*j**2 + 0*j**3 - 463*j**2.\nAnswer: j**3 + 66*j**2 - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**3 + 10*i**2 - i - 2. Let z be n(-10). Let r(c) = 2*c - 11. Let l be r(z). Solve 4*v = -l*p - 0*p - 5, 0 = p + v + 1 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 67079.73 weeks?\nAnswer: 40569820704000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -110 + 433. Suppose -22 = -5*i + b. What is the remainder when i is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * 22.\nAnswer: -4.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 7, e: 4}. Give prob of picking 4 e.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*3*(sqrt(19) + 0)**2 + 0.\nAnswer: 228","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes before 1:27 PM?\nAnswer: 6:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3\/515 - -3739\/465045. Let x = 27112\/9933 - j. What is the common denominator of (4\/(-6))\/(24\/254) and x?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 4*q + 31820, 0 = -399*t + 400*t - 3*q - 10605. What is the hundreds digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 - (17 - ((-10 - 6) + 3)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4024?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 0 - 0 - (-31 - 12\/(-3))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -1 + sqrt(1331) + 1 + -1 - (sqrt(352)\/(sqrt(8)*2 - sqrt(8)) - ((sqrt(1331) - (sqrt(1331) + -1)) + (sqrt(11) - sqrt(99)\/(sqrt(36)\/sqrt(4))))))**2.\nAnswer: 90*sqrt(11) + 916","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 183 and -0.3.\nAnswer: -54.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (211\/633)\/(3\/7 - (-68)\/(-126))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-1056)\/(-5616)*6\/11*(-1)\/2\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104*n - 110*n + 32 = -218*n for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-140)\/(-50))\/(1\/(-95)). Let b = -241 - x. Let q(a) = a**2 - 4. Let z be q(-3). Solve -k - 10 = -p, -4*k + b = 4*p - z*k for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*w - 23*w + 720. What are the prime factors of w?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(14)\/sqrt(252).\nAnswer: sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/2380007 and -3\/11?\nAnswer: 26180077","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 306 and 15766.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b = -4*x + 140 + 40, -5*b = -5*x + 273 - 83 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fd when two letters picked without replacement from ffddfff?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -7*t**2 - 2. Let s(v) = -2*v**3 - 28*v**2 - 7104. Determine 4*f(m) - s(m).\nAnswer: 2*m**3 + 7096","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -195 = 17*g + 22*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 210817621?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, -198, -2, -18 in decreasing order.\nAnswer: -2, -15, -18, -198","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -41\/3 greater than or equal to -14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yp when two letters picked without replacement from {y: 3, p: 11, j: 1}.\nAnswer: 11\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:17 PM and 1:36 AM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -921889 + 921889.15241736. Let g = -7.15242456 + p. Let i = 7 + g. Round i to six dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ciqc when four letters picked without replacement from qqciqiiiiiqqiciqi.\nAnswer: 9\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 285*g - 37 = -364 - 243 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 6 - 2. Let y(b) = 2*b + 21. Suppose -42 = 4*v + 2*z, 3*v + 0*z + 21 = 2*z. Let k be y(v). Solve -r*x = -3*x + k for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 15) to base 7\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -32.1 + -190.7. What is h rounded to the nearest ten?\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 16*g**3*m**3 + 4*g**3 - 350*m**3 wrt g?\nAnswer: 48*g**2*m**3 + 12*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 85647 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 11*s**2 - s + 3. Calculate o(-2).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1.4 and -4812.\nAnswer: -4810.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + 0 = -5*o - 12, 7650*o + 2*r = 7649*o - 9 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 w when two letters picked without replacement from {z: 2, w: 3, s: 1, d: 4, l: 1}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -7\/5, -19, 1, -3, 1\/8?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 5 + 8 - 6*p**2 in the form l*p**2 + d*p + y and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38479310?\nAnswer: 2, 5, 3847931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**2 + 13*t - 3. Let z(a) = -a**3 + a - 1. Let d(x) = 15*x**3 - 2*x + 6. Let r(c) = -d(c) - 4*z(c). Let b be r(-1). What is the tens digit of n(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (620\/(-8990))\/(2\/2)?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 35719730539 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2108 - 6020 = 12*q. Let b = q + 4888\/15. What is the nearest to 0.1 in b, 4, -2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*x - 0. Suppose g + 5*m + 6 = 0, -g + 0*g = m - x. Suppose -2*c + 3*v - 2 = -4*c, 3*v = -4*c + g. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 47323 - 25359. What is the hundreds digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2687 + -2459. Solve 0 = -2*m - d + 218 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -290 - -286. Let c = -3 + 9. What is the closest to -1 in -0.1, p, c?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2a87c1 (base 13) to base 3.\nAnswer: 1222012100221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add -1404 and -228.\nAnswer: -1632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 18890, 18828, 18766, 18704, 18642, 18580?\n\"Answer: -62*y + 18952","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 2*s**3 - 1)*(-15709 - 13446 - 2948) to the form c + l*s**2 + n*s**3 + m*s and give n.\nAnswer: 64206","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(75) - sqrt(18)\/(1*sqrt(6)))**2.\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 2249451976?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and 1128.779.\nAnswer: -451.5116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -22240 + 41516. What are the prime factors of n?\nAnswer: 2, 61, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*l**3 - 16*l**3 + 9*l**3.\nAnswer: -5*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4128 and 2607692.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 303593.\nAnswer: 303593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16 + -13. Suppose -2*a - 4*q = 10, -a - 2*q - o*q = 20. Solve w = -w - 3*k + a, 0 = -4*w + 4*k for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14*r**5 + 23799501*r**4 - 3113*r**2 - 24288*r wrt r?\nAnswer: -840*r**2 + 571188024*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 6, -3*m + n + 125 = -0*n. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the second derivative of v**3\/6 - v. Let k(m) = 6*m + 7*m**2 - 6*m - 6*m**2. Give x(k(z)).\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 916470?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-24))\/(13\/(-2574)*-11)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1602 a factor of 3538813?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(-3\/4))\/(v*v*v**10\/v)*v**(2\/43)\/v**(-2\/5))**17 assuming v is positive.\nAnswer: v**(-150637\/860)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 3*w - 100. Suppose k = -0*k + w. Suppose -v + 4*v - 5*y = 61, -5*v = 2*y - k. What are the prime factors of v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*s**2 - 33802890*s - 33802885.\nAnswer: -5*(s + 1)*(s + 6760577)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 1 + 1)*(8*q - 18*q - 42*q).\nAnswer: 208*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10*-6*(-58)\/(-87)*9\/(-12)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 15.9*-6750\nAnswer: -107325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1536.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-282)\/611)\/(24\/(-624))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27\/31900 and 109\/2350700.\nAnswer: 68170300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z + z - z)*(2*z**2 - 4*z**2 + z**2)*(-2*z**2 + 3*z**2 - 2*z**2) + 60*z**2 + 9*z**5 - 60*z**2.\nAnswer: 8*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 11 = 3*w - w, 3 = -3*w. Suppose 0 = 5*x - u*x + 6. Let q be 0*(x\/(-2) - 1). Is q > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 17*r - 2605. Determine m(153).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(567)*1 - sqrt(567) - sqrt(1008)*-2).\nAnswer: -96*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1691 - 1686. Put x, 14, -5 in decreasing order.\nAnswer: 14, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -0*h + 2. Let m be (-2)\/(-1) + (h - -28). Suppose 4 = l - 4. What is the greatest common factor of m and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 334*j**4 - 2*j**2 + 4*j**2 + 0 + 2*j - 346*j**4 as m*j**3 + b + i*j**4 + z*j + u*j**2 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*n + 924 + 972. What is the remainder when n is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v + 6*v - v)*(2*v**4 - 2*v**4 + 5*v**4 + 4*v**4 + v**4 - 6*v**4 + (-3*v + 2*v**3 + 3*v)*(0*v - v - v) + 0*v**4 + 0*v**4 + 2*v**4).\nAnswer: 4*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 2*t - 7243 = 0, -138*c + 133*c + 36299 = -4*t. What are the prime factors of c?\nAnswer: 5, 1451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/(-2)*24\/18. Let w(b) = -24*b**2 - 2*b + 3. Let p be w(y). What is p rounded to the nearest ten?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 57\/2 of a century?\nAnswer: 2850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/202280 and -69\/4.\nAnswer: 202280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 55685330?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8528.300043661 + -8528.3. What is x rounded to 6 dps?\nAnswer: 0.000044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 62 + 158 = 0. Let r(o) = -9*o**4 + 9*o**2 + 8*o + 8. Let c(l) = -l**4 + l**2 + l + 1. Let n(h) = v*c(h) + 3*r(h). Factor n(k).\nAnswer: -3*k**2*(k - 1)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pxxp when four letters picked without replacement from pqxpppxxxqpxqpppq.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a + 5*y - 47 = -3*a, 12 = -3*a - 4*y. Let k be a + 20 + 0 + -3. Solve 3*n - 3*o = o - 21, 0 = 2*n + 5*o - k for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 346 is divided by 25.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/(-30) + 109503\/135. Suppose -b = -6*l - 235. Let m = -56 + l. Is m a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8026138.457902 + -0.1\nAnswer: 8026138.357902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.1 (b) 3 (c) -2255 (d) -2\/7 (e) -7 (f) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 3*p**2 - p - 4*p**2 - 4 - 5*p + 0*p. Calculate y(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1242 divided by -138.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15601 by -100.\nAnswer: 15601\/100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 2*y = -0*i - 3, -2*i - 3*y = 29. Let u = i - -29. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*q = -112 - 800. Is q a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -3, 16\/41, -0.5, 2.323?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -82, -88, -98, -112, -130, -152?\nAnswer: -178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -376 + 270 + 29 + 1 + -12?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -48 + 11 + 9 + 6*w + 37 + 25 - w**2. What is l(-5)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*b + 6, 3*y = 4*b - 5 + 3 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 2*p - 12 = 0. Let v be ((-3)\/(-2))\/(p\/(-8)). Let z = v + 0. Is z > -5\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-12)\/(-9)*((-3450)\/40)\/23. Let m be ((-3)\/(-2))\/((-1)\/(-2)). Let d(x) = x**2 + 7*x + 7 - 3 + m - 2. Determine d(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2057 + 2081. Solve 0 = 4*d, 4*d - 25 + l = q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 9\/18 - 5\/6. Which is the third smallest value? (a) x (b) -9 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2192681 - 4285*z + 2192681)*(1 - z - 1).\nAnswer: 4285*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1658 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 2858866 is divided by 14082?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*-2 + (-1273)\/76 + 19. Let j be 6\/10 + 6\/15. What is the biggest value in j, 12, q?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1068 is divided by 20?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 103 is divided by 23.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 z, and 1 s when three letters picked without replacement from {z: 7, j: 7, s: 2}?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the third derivative of -b**4\/12 + 2*b**3\/3 - 5*b**2 + 3*b. Let l be 3\/15 + (-1)\/5. What is the smallest common multiple of v(l) and 18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**3 + 210*o**2 + 1356*o - 1568.\nAnswer: 2*(o - 1)*(o + 8)*(o + 98)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5536448 micrometers in nanometers?\nAnswer: 553.6448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1315?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -45 - -92. Let f = z + -38. Suppose -8*s + 25 = -3*s. Solve 16 = s*o - f for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5658355?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1702 less than or equal to 5107\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/3)\/(1\/((-6)\/(-7)))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**2\/7 - 17432*y\/7 - 700480\/7.\nAnswer: 2*(y - 8756)*(y + 40)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -134515, -134514, -134513?\n\"Answer: u - 134516","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56240 is divided by 264.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 512 + -507 + (-2 + -31 - -2)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(2\/7))**(-40)*((g**(-1\/4)\/g)\/g*g)\/g**(1\/3) assuming g is positive.\nAnswer: g**(-2533\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**3 + 8*x**2 - 6*x - 2. What is c(6)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-6\/7)\/s**(3\/7)*(s**3\/s)\/s*s\/s**(-2))\/(s**(-2\/5)*s**6*s)**(-37) assuming s is positive.\nAnswer: s**(8642\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*u + 120 = -15*u. Let v be 8 + -7 + (-12)\/u. What is the closest to -7 in -0.3, 5, v?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -26.56 + 26. Let d = z - -0.76. Is -0.1 > d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74917*n**2 - 74864*n**2 - 74861*n**2 + 224705*n**2.\nAnswer: 63*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, n: 1, x: 1}. What is prob of picking 1 n and 1 y?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9819?\nAnswer: 3, 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5220 divided by -9?\nAnswer: -580","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11)\/(-3)*53\/((-371)\/(-42))*-1?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 4 + 2)*(6*i - 4*i - 4*i) - i + 0*i + 2*i + 175 - 13*i - 175.\nAnswer: -8*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -2*n**2 + 25*n - 40. Calculate w(11).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the first derivative of 19*x**5\/5 - 22*x**3\/3 + 29. Find the third derivative of l(c) wrt c.\nAnswer: 456*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 611, 5597, 20081, 49115, 97751?\n\"Answer: 842*a**3 - 303*a**2 + a + 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:50 AM and 11:44 AM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 272994504 is divided by 824.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.316 and -1.411?\nAnswer: -0.445876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 181874752 to the nearest integer?\nAnswer: 13486","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 108760620.\nAnswer: 2, 3, 5, 1812677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 40\/12*12\/8?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4972273 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuu when three letters picked without replacement from {u: 4, c: 3}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 98960139.\nAnswer: 3, 67, 164113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 16*l**2 + 4*l - 55*l**2 + 87*l**4 - 20*l + 14*l wrt l.\nAnswer: 2088*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + (-2*(-1*sqrt(135) - sqrt(135) - sqrt(135)) + sqrt(135))\/(sqrt(605) - (sqrt(605) - (sqrt(605) - (-5*sqrt(605) + sqrt(605))))))*-4)**2.\nAnswer: -2688*sqrt(3)\/55 + 795568\/3025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-16)\/(-5892))\/(16\/96). Does 0 = b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 57.83744 micrograms?\nAnswer: 0.00000000005783744","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1092 + 1077. Suppose 1 + 7 = -4*h. Is (h - a\/12)\/(4\/(-624)) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 1.010187 months?\nAnswer: 0.00008418225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2685216 micrograms to nanograms.\nAnswer: 268.5216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -60*k + 1. Let c be g(6). Let y = -192 - c. What is the tens digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 - -6. Let j = 15299 + -15299.4. Let t = -0.07 + -3.93. Which is the nearest to j? (a) t (b) 4 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2.9, -1, -2?\nAnswer: 2.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(11) + sqrt(176) + -2 - (sqrt(1584)*-2)**2) + (sqrt(121) + (sqrt(121) - 3*sqrt(121)*-2) + sqrt(121) + sqrt(121))\/sqrt(11))*5.\nAnswer: -31690 + 75*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 7.5703293 from 5.\nAnswer: -2.5703293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.876914g in micrograms?\nAnswer: 876914","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 233338 is divided by 23227?\nAnswer: 1068","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 + 0. Let x = q + -2. Which is the biggest value? (a) 1\/5 (b) x (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9024730 a multiple of 715?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 634 divide 3868034?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -2*i - 9. Let z be u(-8). Suppose z*g = 6*g + 20. Let t = g + -15. Solve -t*l + 3 + 7 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*i - 5*p = -32*i + 1232355, i + 3*p - 246463 = 0. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 81319824.\nAnswer: 2, 3, 641, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (-21 - 9)\/15.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a meter in centimeters?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 46865 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2091*j - 313*j**3 - 2091*j + (2*j - 4*j + j)*(2*j + j**2 - 2*j).\nAnswer: -314*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 265\/106*(-4)\/(-3*(-10)\/(-24))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**3 + x**2 + 8*x - 4. Let i be o(-3). Suppose -i*t + 9*t = 74. Let l be (-3 + 4)*t + -1 + -1. What is the highest common divisor of 18 and l?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**3 - 4*f**2 + f - 1. Let d be l(4). Suppose 0*a = d*a - 237. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 572008328?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 5*i - 38. Let q be w(9). Calculate the highest common factor of q and 917.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -341 + 561. Suppose -4*b = -0*b + r. List the prime factors of (-9 - 1)*b\/22.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of c**3*r*u + 50*c**3*u - 2*c**3 + 5*c**2*r*u - 2*c*u - 46*r wrt c.\nAnswer: 6*r*u + 300*u - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 25, 46, 61, 64, 49, 10, -59, -164?\n\"Answer: -y**3 + 3*y**2 + 19*y + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.05 (b) -0.3 (c) 0.4 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 397.\nAnswer: 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**2 + s - 1. Let q(c) = 5*c - 11. Let t(k) = k - 1. Let g(p) = -q(p) + 4*t(p). Let o be g(8). Let a(d) = 3*d**2 + 5*d - 3. What is o*a(h) + 4*w(h)?\nAnswer: h**2 - h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -2*i + 19. Let c be l(7). Solve 2*n + 9 = -3*m, c*m - 6 = 7*m - 3*n for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/14046585 and -139\/152250.\nAnswer: 702329250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -393*s**4 - 5*s**3 + 8832.\nAnswer: -1572*s**3 - 15*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 + 626 = -4*m. Suppose -43 = 2*z + 103. Let f = z - m. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 844 and 21365860?\nAnswer: 844","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**2 + 4*d - 1. Let j be h(-4). Which is bigger: j or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(275) + 3 - (sqrt(275)*1 + -3 - sqrt(275)))*5.\nAnswer: 35 + 25*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(275) + 0 + 4)**2 - ((sqrt(11) + sqrt(44)\/sqrt(4) + -1)*5)**2.\nAnswer: -834 + 140*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/10*1\/(-1)*25\/(-155)?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sxoj when four letters picked without replacement from {l: 2, o: 2, x: 4, s: 1, j: 6, i: 4}?\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5269 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -45718628 + -64011372. What is b rounded to the nearest 1000000?\nAnswer: -110000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/55, -0.1, -13989?\nAnswer: -13989","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**5\/n*(n\/(n*(n**(-1\/5)*n*n)\/n*n))\/n)\/((n\/(n**22\/n))\/n*n*n*n**(11\/5)*n*n) assuming n is positive.\nAnswer: n**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 54734963.842529 less than -1?\nAnswer: -54734964.842529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 23*b + 2. What is y(-6)?\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -3*r + 2. Let c be 2\/11 - (-46)\/(-11). Let a = 2 + -2. Put r, c, a in increasing order.\nAnswer: c, r, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -f**4\/2 - 649*f**3\/2 - 106267*f**2\/2 - 312987*f\/2 = 0.\nAnswer: -323, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 92, 621, 1574, 2945, 4728, 6917?\n\"Answer: -d**3 + 218*d**2 - 118*d - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4190334 and 9150?\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -153*h + 675 - 507 = -750 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2252328 + 2252328 - 17*w**3.\nAnswer: -17*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes before 11:36 PM?\nAnswer: 8:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -20, -2\/9, 127, 3?\nAnswer: 127","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + (29 - 13) + -32.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + 2. Suppose -m + 4*m = -5*t + 52, 0 = t - 2*m. Calculate the least common multiple of p and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 13245, 26425, 39603, 52779, 65953, 79125, 92295?\n\"Answer: -x**2 + 13183*x + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -2*o - 1. Let r(f) = f - 44. What is r(z) + 2*x(z)?\nAnswer: -3*z - 46","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is (-46*4\/16)\/(5 - 2111\/422) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(192)\/(sqrt(1728)*1 - sqrt(12)))\/(sqrt(1152) + -4*2*sqrt(1152)))**2.\nAnswer: 1\/426888","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 549657.1 milligrams to kilograms.\nAnswer: 0.5496571","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*n + 188*n**2 + 5*n - 191*n**2.\nAnswer: -3*n**2 - n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16 - 19. Let f be (-1)\/6 - (-2)\/4. What is the third biggest value in 1\/5, f, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j\/(j*j\/j**0)))\/j*j**(1\/3))**(-17)\/(j*j**5*j\/((j\/(j**(-7)*j*j))\/j))**(9\/4) assuming j is positive.\nAnswer: j**(-163\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 317 = 10*a - 13*a, a - 4*p - 115 = 0. What is the remainder when a is divided by 55?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1116, 1269, 1424, 1581?\nAnswer: 1740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 2*n**3 + 775*n**2 + 7940*n + 8700. Give w(-377).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 69949?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.0909 - 0.182. Let r = -0.0345 - n. Let g = r + -0.052. Round g to 3 dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 340 divide 1951260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the second derivative of 3\/14*f**8 + 0*f**7 + 0*f**5 + 0*f**6 - 31*f + 0*f**2 + 0 + 0*f**3 - 19\/12*f**4. Find the third derivative of j(y) wrt y.\nAnswer: 1440*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*m + 8 = 61*m - 1 for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**2 - 7814*h - 13545928. What is x(-2596)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -5*f**5\/2 + 144855*f**4\/2 - 524465505*f**3 - 1577307905*f**2 + 47196110775*f\/2 + 183639022875\/2 = 0.\nAnswer: -5, 7, 14487","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 0*i - 15 = 0. Let q be 318\/i + (-4)\/10. Let d be q\/(-30) + (0 - 2). Which is the third biggest value? (a) 0.3 (b) 5 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -34332444 (base 5) in base 6?\nAnswer: -10340123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.27026415 to 2 decimal places.\nAnswer: 0.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 40, 46, 54, 64, 76?\n\"Answer: f**2 + 3*f + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1100100111010000 (base 2) to base 15\nAnswer: 10494","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2*4\/20*10\/12. What is the closest to g in 0.5, 5, 22?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*z - 4*z**3 + 7*z**3 - 7*z**3.\nAnswer: -4*z**3 + 14*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10912 - -11324. Solve g = -16*s + 428 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 6872.591 centuries?\nAnswer: 68725.91","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**3 + 5*d**2 + 41*d - 133. Let w be i(8). Solve w*u - 4*t = -10 - 18, -t = -2*u - 12 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the first derivative of -q**3\/3 + 3*q**2\/2 - 2*q - 3. Let j be o(2). Solve j*l = -5*a - 3*l + 19, -5*a + 15 = 5*l for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + 21. Let d = -8 + p. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 5*s + 30287 = 0, -1319*x - 50468 = -1324*x + 2*s. What are the prime factors of x?\nAnswer: 2, 7, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 23*l**2 + 13*l + 13. Suppose -36 = -5*g - 46, -5*n - 4*g - 73 = 0. Let f(d) = 11*d**2 + 6*d + 6. Determine n*f(o) + 6*b(o).\nAnswer: -5*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l + 28 = -3*x, -l - 3*l = -3*x - 23 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 = 4*n + 2*o, 9*n - 123*o + 49 = -124*o for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000297156459 rounded to seven dps?\nAnswer: 0.0000297","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2450, -10049, -22808, -40721, -63782, -91985, -125324, -163793?\nAnswer: -207386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1719120 is divided by 30.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38 - 18*w**2 + 38 + 222*w**2.\nAnswer: 204*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2086 less than 0.3?\nAnswer: 2086.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1670765 and 8987.\nAnswer: 817","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 5 - 5 - 40 - (9 + (11 + -4 - 11))\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 4*z**2 - 34. Let t(c) = 9*c**2. Determine t(d(u)).\nAnswer: 144*u**4 - 2448*u**2 + 10404","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the second derivative of o**5\/20 + 7*o**4\/12 - 4*o**3\/3 + 11*o**2\/2 - 3*o - 16. Calculate a(-8).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/18 and ((-110)\/8)\/1 + (-2)\/(-8).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1181 - 1176. What is the closest to 0.2 in -4\/5, -40, -0.3, z?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5, 28, 83, 160, 259, 380?\nAnswer: 523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11202330032112 - -11?\nAnswer: 11202330032123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21318 = -9*c - 2985. Find the second derivative of 2039*h**3 - c*h**3 + 3 + 1 + h**5 - 10*h - 3 wrt h.\nAnswer: 20*h**3 + 12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0.371, -220\/3 in decreasing order.\nAnswer: 0.371, -1, -220\/3","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -15 (b) 0.3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**3 + 8*u**2 + 15*u + 98. Suppose -4*b = -110 - 2. Calculate the remainder when j(-6) is divided by b.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -2*f + 13 - 3, -4*f + 20 = -v. What is the greatest common factor of f and 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/8*(-9292)\/(-606).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 + (12520\/1585)\/4. Let r = 5192\/4755 + x. Find the common denominator of -113\/6 and r.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*n**2 - n**3 - 5*n**2)*(-3*n + 0*n + 4*n) + (8*n**2 - 3 + 3)*(138*n**2 - 331*n**2 + 141*n**2 + (4*n + 0*n - 5*n)*(-n + n - n)).\nAnswer: -409*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -780, -2946, -6560, -11622?\n\"Answer: -724*m**2 + 6*m - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 1. Let b(r) = 6 + 3*r - 2*r + 3. Let i(x) = -21*a(x) + 3*b(x). Is i(5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.03 (b) -5 (c) 3 (d) 2\/13 (e) -1\/8 (f) -0.44\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 15461 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-16)*4\/6)\/1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 714\/(-28)*(124\/(-6) + -2). Suppose -6*p + b = 224. What is the remainder when p is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(-1) - 566\/(-614). Let h = 16055\/2763 - g. What is the common denominator of h and 49?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5581?\nAnswer: 5581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -10056 divided by -1257\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 880?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*6.015.\nAnswer: -2.406","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the first derivative of -2 + 0*t**2 + 0*t**4 + 1\/2*t**6 + 0*t + 0*t**5 + t**3. Find the third derivative of a(z) wrt z.\nAnswer: 180*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 4, o: 2, v: 2, t: 1, y: 1, g: 4}. What is prob of sequence vo?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.5, 243, 47?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 30 = -5*k, 37*k - 32*k = -2*r - 2 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + 0. Let b be ((-2)\/6 - 0)\/((-2)\/54). Suppose 0 = -l - 4*h, -2*h - 9 = -4*l + b. Solve k - l = -p*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 z when two letters picked without replacement from rqqqqqzqzrzbrrrrqbr?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = 4*r - 5*v, 2*r + 10 = r - 4*v. Which is the nearest to 2? (a) 1\/3 (b) 2\/7 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 442, 440, 438, 436, 434, 432?\nAnswer: 430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*m + 0*m + m)*(-6*m**2 + 8*m**2 + 5*m**2) - 21*m - 10*m**3 + 21*m to the form r + w*m**2 + f*m**3 + p*m and give f.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.435291g in milligrams?\nAnswer: 435.291","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -8*s**2 + 22*s - 22. Let q(a) = a - 1. Calculate -44*q(b) + 2*z(b).\nAnswer: -16*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:00 AM and 7:02 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -762*n - 889. Let y be t(-2). Does y = 3\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 289740 and 7368.\nAnswer: 177900360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (15 - 19)\/((-12)\/(-84) + 23\/(-63))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes after 6:00 AM?\nAnswer: 11:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 135 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g and 1 h when four letters picked without replacement from hhgnhhgggh?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 (base 9) in base 16?\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21116, -30922, -40718, -50498, -60256?\nAnswer: -69986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6.93 + 0.07. Let g = 6.938 - y. Let w = g + -8.738. Round w to the nearest integer.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (853\/(-375320))\/((-4)\/160)?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 260 divided by 26\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the second derivative of m**4\/12 + m**3 + 3*m**2 + 2*m. Let z be o(-6). Suppose -3*u + 2*u = -z. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 3\/74?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + 3*z = 6*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2004*c - c**3 - 2004*c.\nAnswer: -c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5674*c = -5840*c - 4316 for c.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**1*r**(-1))**(-4\/31)\/((r*r**6*r)\/(r\/r**(-1))*(((((r*(r**(4\/9)\/r)\/r*r*r)\/r)\/r)\/r*r)\/r)\/(r\/(r\/r**1))) assuming r is positive.\nAnswer: r**(-997\/279)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15.554742 + -2.445328. Let l = v + 18. What is l rounded to four dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49199876?\nAnswer: 2, 11, 71, 15749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.29703 + 1.401929. Let z = b - -0.363911. Let n = -0.47 + z. What is n rounded to 4 dps?\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2263602744 to the power of 1\/2, to the nearest integer?\nAnswer: 47577","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 16 = -2*y, -5*y - 2 = -4*y. Solve 25 = -n*g + 9*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -2*a**3 + 2 + 3*a**3 + 9*a**2 + 3 + 14*a + 10*a**2 - 15. Does 30 divide w(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/(-2) - 0 - 0. Suppose -4*b = -2*a - 6*b + 6, -m*a + 7 = 4*b. Suppose -3*z + 93 = a*h + z, 0 = -3*h - z + 60. List the prime factors of h.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -91.6981861 to 2 decimal places.\nAnswer: -91.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*l + 657 - 660 = -1209. What is the least common multiple of l and 4592?\nAnswer: 41328","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + (sqrt(2) - -4*sqrt(32)))**2 + sqrt(32)*-2 - ((sqrt(90)\/sqrt(5) + sqrt(2))**2 + -1).\nAnswer: -8*sqrt(2) + 617","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-147 + 149 + 145*p + 382*p)*(1 - 1 + 2) + (4 - 2 + 0)*(-2*p - 2*p + 7*p).\nAnswer: 1060*p + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 102 = 3*a, 2*a = 3*m - 2*a - 80. Suppose -j = -161 - 196. What is the remainder when m is divided by 2\/(-9) - j\/(-27)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/(-6))\/(((-220)\/33)\/(-10))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*m - 1081 - 3194 = 0. What are the prime factors of m?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 6\/12*(3 + (-3)\/4) and 27\/10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 933*b - 934*b + 3 + 6. Let w be o(7). Solve r = w*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -2*a**2 - 15*a + 19. Let s be b(-9). Let i be (-80)\/24*(-6)\/(-4)*s. Suppose 16*g + i = 6*g. Sort -19, g, 5.\nAnswer: -19, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 153871 is divided by 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8, 8, 4, -4, -16, -32?\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -36*w**3 + w. Let f be x(-1). Let c(s) = -18*s + 399. Let k be c(22). Solve n - 5*n + f = -k*h, -n + 5 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -11*b**3 + 7. Let d(v) = -9*v**3 + 6. Let y(x) = -6*d(x) + 5*m(x). Let p(c) = 6*c**3 + c - 1. Determine p(u) - y(u).\nAnswer: 7*u**3 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(-2 + 195\/96). What is the highest common factor of j and 256?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -10*x**2 - 9*x - 3. Let t be o(-5). Let l = t - -377. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 14 - -1305225?\nAnswer: 1305243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gbgahaghaaaa. Give prob of sequence hb.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + (-5)\/30)\/(1095\/292).\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10 + -11300345?\nAnswer: -11300335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 843721509?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 677*h - 744*h = 454*h + 1309 + 19010 for h.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 54*q - 589. Let d be m(11). Solve -d*f + p + 30 = 0, p = 4*f - 15 - 10 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 k when two letters picked without replacement from {v: 1, n: 2, q: 1, i: 1, g: 1, k: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 441158?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2737 is divided by 1545?\nAnswer: 1192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.06776 times -2.9\nAnswer: 0.196504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-36)\/81)\/((-2)\/9). Suppose 940 = 2*h - z*v, 3*h + 4*v - 2368 = -2*h. Is h a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -3*r + 159, -3*u + r - 60 - 33 = 0. Let f be (-6)\/(-5) - (-6)\/u. Find the third derivative of -3*t**4 + 0*t**4 - 2*t**2 + f - 1 wrt t.\nAnswer: -72*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -24\/133 - 2\/19. Let d = 5 - 2. Which is the closest to -1? (a) 2 (b) g (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19 + 36. Let t = -16.861 + p. What is t rounded to two dps?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the third derivative of -1\/210*p**6 + 2*p**2 + 0*p + 0 + 1\/14*p**4 + 2\/105*p**5 + 0*p**3. Suppose o(g) = 0. Calculate g.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (38\/(76\/(-4)))\/(((-24)\/(-2))\/264).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 116235 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 = 7*f + 27. Let i = 25 + -16. Solve 0 = -3*m + 9, 3*g + f*g + 3*m = i for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 359568 and -707?\nAnswer: 360275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b = 5*z + 9, -2*z + 8 = 68*b - 73*b - z + z for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.45 - 0.85. Let t(x) = x**2 - 5*x - 2. Let q be t(6). What is the third biggest value in q, -1\/4, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1805640?\nAnswer: 2, 3, 5, 41, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sths when four letters picked without replacement from shkkskskksthsstsklk.\nAnswer: 7\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 1\/27402?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 215, 5, 22, 2, 36, 0 in ascending order.\nAnswer: -2, 0, 2, 5, 22, 36, 215","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -4*c**2 - 3*c - 3. Let i be (-27)\/18 + (-1)\/(-2). Let m(n) = -n**2 - n - 1. Give i*v(k) + 3*m(k).\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 17, 51, 115, 215, 357, 547, 791, 1095?\n\"Answer: y**3 + 9*y**2 + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -19*s**3 + 2*s**3 + 17*s - s + 3*s**3 wrt s?\nAnswer: -84*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 68001787828 and 38.\nAnswer: 68001787866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = r, 3*t = 5*r. Suppose z = -3*u + 240 + 24, -5*u - 3*z + 440 = t. Suppose -27*w + 88 = -19*w. What is the highest common divisor of w and u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*d**2*j*q*v + 2992*d**2*j*v + 3939*d**2*v - 6*d*j*v - 6*d*q*v + 4*j*q + 163*q + 10*v - 1 wrt d?\nAnswer: -4*j*q*v + 5984*j*v + 7878*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (-7 - (-7 - -1))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (q - q - 2*q**2)*(9*q - 7*q + 16*q + (0*q + 0*q - 3*q)*(0 - 1 - 1)) as s*q**2 + u + r*q + t*q**3 and give t.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 116, 9, -315 in descending order.\nAnswer: 116, 9, -315","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 3*y = -8, 4*r - 5*y - 58 + 22 = 0. Let z = 21 - 18. Suppose 5*t - 5*g = 140, -z*t - r*g + 26 + 30 = 0. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*h + 5*h + 10*h)*(0 - 3*h + 0) + 2*h**2 + h - h.\nAnswer: -61*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(4\/3)*(-6)\/9?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74*p - 74*p - 813*p**2.\nAnswer: -813*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69090608.\nAnswer: 2, 4318163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.077 from -994917.\nAnswer: -994917.077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -78 - -79 - (2 - -2) - (-2 + -3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1701 + 1699 - 2*c - 11*c**4 + 5*c**4 - c**3 + 37*c - 5*c**4 to the form p*c + s + r*c**2 + h*c**4 + u*c**3 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56 = -17*h - 5 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 16 = -4*q - 0*s, 5*q + 20 = 3*s. Is (-5)\/(-10)*q + (536 - -3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16505\/33 at most 501?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50148 is divided by 1072?\nAnswer: 836","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -33967.191 rounded to the nearest one thousand?\nAnswer: -34000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12651139.\nAnswer: 79, 160141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3.4? (a) -2 (b) 135 (c) -2\/23 (d) 0 (e) -99\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -194*n = 16997361 - 16986691 for n.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.01*235756302\nAnswer: 2357563.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -45 + 48. Suppose -x + 58 = 5*r. Find the second derivative of -4*a - 6*a**4 - 4*a**4 - r*a**4 + 5*a**4 wrt a.\nAnswer: -192*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108)\/(sqrt(64) + sqrt(4)))**2.\nAnswer: 27\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*k**3\/7 + 1582*k**2 = 0. What is k?\nAnswer: -5537, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 14*f**2 + 15 + 3*f**2 + 24*f**2 - 2*f. What is the remainder when a(-3) is divided by 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12.997 + 3.997. Which is the second biggest value? (a) j (b) 4 (c) -1 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11473 and 385?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the first derivative of -2*p**3\/3 + 95*p**2 - 397*p + 250. Differentiate g(j) wrt j.\nAnswer: -4*j + 190","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -21? (a) -1\/5 (b) -5 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.7? (a) -4 (b) -2\/3 (c) 13\/4 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -29.2 plus 152?\nAnswer: 122.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3692 and -0.5638715.\nAnswer: -3692.5638715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + (-4 - 0) + (-25 - -21).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*f - 4508 - 3241. Is 41 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2514 - -1200453?\nAnswer: 1153535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2519?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -45 + 50. Solve -5*c - 5*k = 20, -r*c + 3*k - 11 = 5*k for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**2 - 9*u + 213. Let a be l(10). Let v be (-25 + 2)*-1*4. Calculate the greatest common factor of v and a.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -183*w - 2. Suppose -r = -98 + 89. Let q be o(r). Let c = q + 13263\/8. Find the common denominator of -37\/8 and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**2 - 7*k + 10. What are the prime factors of i(11)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10000110001 (base 2) to base 9.\nAnswer: -1422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*v + 395 - 107 = 0 for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 6 - 4)*((1 + 2 - 5)*(-l + 3*l - 3*l) + 10*l + 8*l - 8*l) to the form r*l + v and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 43889 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6433 by 8.\nAnswer: -6433\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 3*q**2 + 19*q - 11. Let o be j(6). Let k = -58 + o. Does 59 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-19)\/((-323)\/(-136))*1. Which is the second biggest value? (a) 1 (b) y (c) 0.4 (d) 0.025\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((i\/(i**14\/i*i*i))\/i*i)\/i)**(2\/145))**42)**35)**(4\/5) assuming i is positive.\nAnswer: i**(-7056\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 19 - -18562726?\nAnswer: 18562744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-5)*(-210)\/84*1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 2, -2\/3, 438, -3, -48?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53529 is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n + 7. Let z be (-1 + 0)*16\/2. Let m be k(z). Let j be (-6)\/((3 + -1)*m). Which is bigger: j or 0.1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/64 and -3 + 2261\/(-2176) + 4*1.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q, 1 o, and 1 a when four letters picked without replacement from qqcqotatcocc?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -560*s**2 + 201*s**2 + 201*s**2 + 180*s**2. Let f(x) = 3*x**2. What is b(f(p))?\nAnswer: 198*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2662\/4114*(-102)\/(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 65 + -52.9. Let d = 3 - 5.1. Let h = d + l. Which is the second biggest value? (a) -0.1 (b) -1 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 l when two letters picked without replacement from ajolaoaoocta.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m**2\/9 + 70311460*m + 5561664083248050 = 0 for m.\nAnswer: -158200785","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/10165 and -99\/63962246?\nAnswer: 319811230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 48\/91?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 378?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-550)\/150*(-42)\/385\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.021 less than 74.96?\nAnswer: 74.981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 21*d*n**2 + d*n*q**2*u + d*n*q*u + 2*n**2*q**2*u - 3*n**2*q**2 + 177*q**2*u + 2*q*u wrt d.\nAnswer: 21*n**2 + n*q**2*u + n*q*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l + 4*l - 23. Let f be (1 + l\/2)*-2. Find the second derivative of f*v - 14*v - 26*v + 14*v**4 wrt v.\nAnswer: 168*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/4184 and -29\/2108.\nAnswer: 2204968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 294701160 to the nearest integer?\nAnswer: 665","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 - -16. Let b = o - 3. What is the greatest common factor of 64 and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9.5, -3, -0.98.\nAnswer: -9.5, -3, -0.98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-9 - -1)*169\/(-4). Let f = 718 - k. What is the highest common divisor of 38 and f?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/208, -0.4, 1, 2, 3, 0.22 in increasing order.\nAnswer: -0.4, -1\/208, 0.22, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/10*(-500)\/150*(-198)\/12.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -70488 divided by 89?\nAnswer: -792","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-6\/7)\/q*q**(6\/7))\/(q\/q**(2\/7))**(11\/7))\/((q*q*q*q**1\/q)**(-1\/39)*(q*q**(-1\/3))**(-32\/5)) assuming q is positive.\nAnswer: q**(21223\/9555)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 5*q + 5*j = -28, 2*j = -q - 6. Suppose -9 = g + 3*s - q, -3*g + 39 = -3*s. Suppose -g*u = -6*u. Solve u - 20 = -4*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 divided by -444?\nAnswer: -9\/148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*p**2 - 2*p**3 + 6*p**4 + 8*p**2)*(10 + 2 - 1).\nAnswer: 66*p**4 - 22*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10088802 by 5044401.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**2 - 5*y + 4. Let s be u(4). Suppose -2*z - 2*m = -11 - 1, s = -4*m + 16. Put -5, -4, z in descending order.\nAnswer: z, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -3*k + 4. Let n be x(-6). Suppose -3*r + 5*r = n. Let g = 23 - r. Is 4 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -10*d. Calculate k(1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 6\/(-27) + 2\/9.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -9*s - 14. Determine f(-7).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -6*a + 4*a - a + a. Let n(u) = u + 1. Let o(s) = 33*s + 27. Suppose 5*x + 54 = 6*x. Let q(d) = x*n(d) - 2*o(d). Determine q(m(f)).\nAnswer: 24*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 239608?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 231015307.\nAnswer: 43, 5372449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 109550.2 times 0.013\nAnswer: 1424.1526","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(104)*2*-1*5)\/((sqrt(3072) - (sqrt(3072) + 1*sqrt(3072)) - sqrt(3072))\/(sqrt(384)*-1)).\nAnswer: 30*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34810 (base 12) to base 8.\nAnswer: 211214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 2 t when four letters picked without replacement from tjjjttjttjjt.\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -24533*g**3 - 16*g**2 + 77*g - 667002729?\nAnswer: -73599*g**2 - 32*g + 77","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2341 - -2344. Solve 12*l = 13*l + p for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 5*x - 9 = 0, 0 = -f + x - 3*x - 5. Let z = -23 - 17. Let m be z\/(-10) + (-38)\/8. Is f at least m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -11*g + 2. Let h(n) = -53 - 57 + n + 180 - 64. Give c(h(a)).\nAnswer: -11*a - 64","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*k - 16 = 23*k for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + y**3 + 69*y**2 - 1 - 69*y**2 as x*y + z*y**2 + n*y**3 + q and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (5*(sqrt(17) + sqrt(85)\/sqrt(5)*3)*-6)**2.\nAnswer: 244805","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1264258638*o + 1216932039?\nAnswer: -1264258638","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 87, 95, 105, 117, 131, 147, 165?\nAnswer: 185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 582278.\nAnswer: 2, 109, 2671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -44759 * 0.8.\nAnswer: -35807.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -471*q**4 + 92*q**3 + 101*q + 36935422?\nAnswer: -1884*q**3 + 276*q**2 + 101","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.114 + -11.686. Let r = h + 24.8. Suppose 3*c + 2 + 1 = 0. Which is smaller: c or r?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, s: 8, x: 4}. Give prob of picking 1 f and 1 s.\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2941 and 527?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 555*y**4 - 21*y**3 - 3760*y**2 wrt y?\nAnswer: 13320*y - 126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/6? (a) -1\/4 (b) 38\/5 (c) 4\/5 (d) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 57306 to the nearest integer?\nAnswer: 239","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 6*y + q = -45, 1533*q - 1534*q = 5 for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 467 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 3*u = -k + 9, -4*k - u - 24 = 0. Let q = -3 - k. Let m be (-6)\/(1 - q - -1). Solve -8 = -o - m*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -6*r - 2. Let p(n) = -n**2 + 3*n - 3. Let b be p(4). Let s be v(b). Suppose -4*y = -5*o + 3*o - 146, -y + s = -4*o. Is y a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -400 divided by 440?\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 16 = -2*n, 4*n - 5*z + 11 = 2*n. Suppose -2*f = y + 1, n*y = 2*f - f - 12. Let t be 2\/(-4) + (-5)\/30. Put f, 2.2, -1\/3, t in decreasing order.\nAnswer: 2.2, f, -1\/3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/(-21) + (-4)\/(-14). Suppose s*l + 2*l - 12 = 0. Solve 2*d + 2 = -l for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -13 in 6\/13, 0.5, -1\/12, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3168) + sqrt(3168) + -1*sqrt(3168)*-3)\/(sqrt(10)\/(sqrt(245) - -4*sqrt(245))))**2.\nAnswer: 48510000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence whxn when four letters picked without replacement from rhwrnhwnnxnhwhhhnnn?\nAnswer: 7\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22 + 3*c - 10*c**3 + 2*c**2 + 2*c + 24 to a*c + p*c**2 + z*c**3 + o and give z.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 143700 and 1350?\nAnswer: 1293300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 54820 and 200.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.079 - 55.921. Let r = j - -66. What is the biggest value in r, 0.3, -4, 0.5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes before 1:26 AM?\nAnswer: 3:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 39 + -14 + 23 + (-13 - 4 - -5)\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of d**3*m**2 - 119180221*d**3 - d**2*m**2 + 62*d**2*m + 93149*d*m**2 wrt d.\nAnswer: 6*m**2 - 715081326","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**2 + 4*m + 24. Let s be f(7). Suppose s*u + 3*u = 36. Let y be u*(-4)\/108 - (-52)\/(-9). Sort y, -5, -3, 2.\nAnswer: y, -5, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.913 - 3.103. Which is the nearest to -2? (a) -0.1 (b) 3 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c = 0, -3*c = -5*b - 5*c - 5 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*k**3 - 35*k**3 - 49*k**3 + 138*k**3.\nAnswer: 27*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47442 is divided by 41592.\nAnswer: 5850","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 197 - 201. Put 2, -1, x in descending order.\nAnswer: 2, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.3*-47.29.\nAnswer: 108.767","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -5*s - 1. Let j(n) = 0 - 1 + 14*n - 1 + 5. Let y(g) = -7 + 0*g - 2*g + 0*g. Let k be y(-5). Determine k*j(t) + 8*l(t).\nAnswer: 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8312371?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1349751808 is divided by 4247.\nAnswer: 4244","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 474.688 * 0.3.\nAnswer: 142.4064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 848478053.\nAnswer: 103, 211, 39041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -4\/170877?\nAnswer: -4\/170877","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 6) in base 3?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 38569208291 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 2 + 0)*(2*h**3 - 2 + 2)*((3 + 3 - 4)*(0 + 0 - 1) + 4 - 8 + 0) in the form t*h + u*h**2 + v*h**3 + k and give v.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1229*s**2 - 360*s**5 + 4*s**6 - 5*s**3 + 0*s**3 - 917*s**2 + 5*s**3 wrt s.\nAnswer: 480*s**3 - 21600*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 294 - 313 - (-2 + (0 - 0)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2*g)*(2*g - g + 5995 - 5992 - 13*g**2).\nAnswer: -26*g**3 + 2*g**2 + 6*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/168 - ((-144092)\/(-4522) + -32).\nAnswer: -1\/133","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 560657 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**2 - 42. What is k(6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**2 + 14*w - 5. Let t be c(5). What is the highest common divisor of 20 and t?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 587, 2\/85, 0.2, 4.\nAnswer: 2\/85, 0.2, 4, 587","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v, 1 l, and 1 q when four letters picked without replacement from vlvvqqqqq?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -2*d + 7. Let m(x) = 2*x - 6. Let u(z) = 7*m(z) + 6*p(z). Let y(t) = 130*t. Give y(u(s)).\nAnswer: 260*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -17770, -23884, -34074, -48340, -66682?\n\"Answer: -2038*s**2 - 15732","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000048156794 to 7 dps.\nAnswer: 0.0000482","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the first derivative of -33 + q - 16*q**3 + 3\/2*q**2. Let w be o(-1). Is -50 at most as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 77.288 + -1.588. Let z = 76 - q. Let m = 13 - 13.5. Sort 5, m, -0.4, z.\nAnswer: m, -0.4, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7911030 > -7911030?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - ((1 + (-10 - -6) - -5) + 4 + -18)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*y**3 + 3*y**3 + 4*y**3 + (-3 - 5 - 4)*(-2*y**3 + 0*y**3 + 3*y**3).\nAnswer: -11*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q**4 + 2*q + 836*q**2 - 836*q**2)*(-q - 3 + 3).\nAnswer: -3*q**5 - 2*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3536 = -162*u + 149*u. Calculate the greatest common divisor of u and 96.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -1\/8 (b) -3972 (c) -17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qttqqqtwtqwtqwwwntq. Give prob of sequence ntnq.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -x**3 - x**4 + 0*x**3 + 31*x**2 + 243*x**2 + 236*x**2 - 93*x**2 wrt x?\nAnswer: -24*x - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*((-30)\/(-48))\/(-5)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x. Let n(q) be the third derivative of q**5\/12 - 145*q**3\/6 + 16*q**2. Let p(d) be the first derivative of n(d). Calculate a(p(g)).\nAnswer: -10*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/2141 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -7*y - 174. Let v be g(-24). Let a be ((3 - 9)\/(-36))\/(v\/(-8)). Let n be (-2)\/(-12) - 4\/6. What is the closest to 0.1 in n, a, 2\/5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 464926 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -27*c + 80. Let b be y(12). Is (-10)\/(-2) + 5\/((-10)\/b) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1187085 divided by 237417?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.3 + 3. Let x(o) = o**2 - 7*o - 169. Let u be x(-10). Which is the fourth smallest value? (a) u (b) 0.5 (c) g (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**2 - 4*x + 40. Let j be y(-9). Put -4, -18, j, 5 in descending order.\nAnswer: 5, -4, j, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 1065*a**3 - 753351*a**2 + 279960*a + 8484 = 0.\nAnswer: -2\/71, 2\/5, 707","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the third derivative of -f**5\/20 - 151*f**4\/8 - 75*f**3 - 145*f**2 - 10*f. Factor c(b).\nAnswer: -3*(b + 1)*(b + 150)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -36, -75, -114, -153, -192, -231?\n\"Answer: -39*r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -75 + 75.8. Is g smaller than 1.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**10)**(-42)\/(k\/k**(1\/28)*k*k**(2\/11)) assuming k is positive.\nAnswer: k**(-130021\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9141 is divided by 2547?\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 76*v**3 + 134 with respect to v.\nAnswer: 228*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 7 * 0.0349\nAnswer: 0.2443","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g + 6 + 6, 4*g = v + 38. Let l be (-2)\/(-2) + v\/(-5) + -12. Let u(f) = -13*f**2 + f + 1. Give u(l).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 24112032 + 10?\nAnswer: 24112042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 15*g*j**3 + 7*g*j**2 + 36*g*j - 18540*j**4 + 2*j**2 + 3 wrt j?\nAnswer: 90*g - 444960*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 373 is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 151179.63s to minutes.\nAnswer: 2519.6605","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -5*a. Let n(m) = 7*m**2. Give b(n(h)).\nAnswer: -35*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 + 3*q**2 - 5*q. Let c = 1 + -5. Let y be f(c). Suppose y*o - o + 2*v - 17 = 0, -2*o + 4*v = -38. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t, 1 z, and 1 m when four letters picked without replacement from rftttrrkfmrzr?\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24087 and 87801?\nAnswer: 777","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the first derivative of -u**10\/840 + u**6\/180 + u**3\/3 + 6. Let c(s) be the third derivative of w(s). What is the third derivative of c(i) wrt i?\nAnswer: -720*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 118 - -44. Let i = -161.999858 + m. Round i to five decimal places.\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 10\/(-3025)*-1205 + -4. Let u = s + 135\/847. Which is the closest to u? (a) 0.5 (b) 0.2 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 + -134?\nAnswer: -136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 f, and 1 b when three letters picked without replacement from flrrqib?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2136, 0.3, -103 in decreasing order.\nAnswer: 2136, 0.3, -5, -103","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -4*r - 123, -75 = -3*b - 0*r + 3*r. Suppose -2*j + b + 15 = 0. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -28176, -112749, -253694, -451011?\n\"Answer: -28186*g**2 - 15*g + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 47*f**2 + 16*f - 4. Let x be s(4). What is the common denominator of 53\/20 and x\/(-72) - (-36)\/12?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 4, e: 3, l: 7}. Give prob of picking 1 y and 1 e.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.05 * -571.\nAnswer: 28.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -425736*o. Let q(n) = -2*n**2 + 95. Give q(h(g)).\nAnswer: -362502283392*g**2 + 95","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -27729 - -29105. Calculate the remainder when m is divided by 22.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**3 + 271*l**2 - 280*l - 2152. Calculate b(-272).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*d**4 + 9*d**4 + 0*d**4 + (-3*d + 3*d - 2*d**2)*(-d**2 + 0*d**2 + 3*d**2) - 164 + 164 - 11*d**4.\nAnswer: -2*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes after 1:58 AM?\nAnswer: 9:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1402.\nAnswer: 2, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 706420 and 10819380?\nAnswer: 205568220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -344 - 118271126653.\nAnswer: -118271126997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3875*r + 1881*r - 121 + 68 + 1997*r + 53.\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.2 + -6.1. Let k = o - -5.13. Let f = 0.13 - k. Which is greater: f or 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, o: 3}. What is prob of sequence ow?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 143\/6 or 257257?\nAnswer: 143\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 138 = z - 17*f, 2*z + 14*f + 51 = 9*f for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 - -55?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-36)\/44 - (-4)\/(-22). Let t be l + -3 + -2 - 0. Let d be 4*(1 - (-7)\/t). Which is greater: -2 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a kilogram in milligrams?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the third derivative of y**4\/24 + 4*y**2. Let c be i(5). Solve -c*o - 10 = -0*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1922*b**2 + 116 - 239 + 120.\nAnswer: -1922*b**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x - 1. Let d(k) be the third derivative of k**6\/40 - 5*k**4\/24 - k**3\/2 - 106*k**2. Determine -d(z) + 5*h(z).\nAnswer: -3*z**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1330 and 350?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1872*v = -1876*v + 20 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 203 and 59131?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes before 7:48 AM?\nAnswer: 6:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 78607695 and 8.\nAnswer: 628861560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 28308 and 672?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -12*o + 7 - 5*o**2 + 2*o**3 + 6 - 7. What is the tens digit of w(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.057, -2, 2 in decreasing order.\nAnswer: 2, 0.057, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6161, -6157, -6153, -6149?\nAnswer: -6145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 555604083?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -15872000 to the nearest one hundred thousand.\nAnswer: -15900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 731166 and 27517?\nAnswer: 3931","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12116 is divided by 253.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/40 and 17\/464.\nAnswer: 2320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -58 (b) -0.3 (c) -8608\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) 8 (b) 0.3 (c) 2.62\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 2 t when three letters picked without replacement from {t: 5, x: 1, c: 2, f: 1}?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 + -0.041639450359003?\nAnswer: 0.058360549640997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-90) + 124074\/(-24705)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -6*d - 2 + 0*d + 8*d. Let z be s(2). Let m = -2 + z. Let v(r) = -r**3 + r**2 - r - 2. Calculate v(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 349 = -0*c + 4*c, -3*x - 379 = 2*c. Let t = x + 187. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.2 (b) 0 (c) 1 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.96941 + -0.97. What is r rounded to 4 decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dadwwddawaa. Give prob of picking 1 a, 2 w, and 1 d.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -59*f - 17. Let k be h(2). What is the hundreds digit of ((-14688)\/k)\/((-1)\/(-10))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 112 - 86. Suppose g*q + 1862 = 33*q. What is the tens digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**3 - 3*j**2 - 2*j - 3. Let u be t(4). Let b be (4 - 1)*4\/6. Suppose -b*q - 6 = -20. Solve u - 2 = -3*p, 5*p = o - q for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -27 + 27. What is the fourth biggest value in i, -0.7, -4\/3, 3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {n: 8, k: 1, r: 6}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, -150, 4, -3.\nAnswer: -150, -3, -1, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve o = -0*o + 7 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 28*n - 363. Calculate h(14).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10800 and 3658224.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that p**3 + 82*p**2 + 1760*p + 3200 = 0.\nAnswer: -40, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -836*q + 2552*q + 47660 = 9908 for q.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*n**2 + 3*n**2 + 108*n - 54*n + 1173 - 54*n.\nAnswer: -n**2 + 1173","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5226, 10773, 16288, 21765, 27198, 32581?\nAnswer: 37908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**3 + 4*h**2 + h - 5. Let i be w(4). Suppose -3 - 1 = v. Let l = i - v. Let n(x) = -x**2 + x + 4. Give n(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uwaksxu. What is prob of sequence ksxw?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x - 1. Let i(p) = 293*p - 2. Let c(u) = i(u) - r(u). Is c(2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13\/7 - -1\/56. Calculate the common denominator of s and ((-34)\/20)\/((-8)\/100).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n - 30 = -8*n. Suppose -d + n = 2*d. Differentiate -5 - 3 + d - 7*p**2 - 4*p**2 with respect to p.\nAnswer: -22*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a milligram in micrograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -631 - -634. Let 1\/2*d**2 + 1\/2*d**y - 2*d - 2 = 0. What is d?\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11619250, 11619251, 11619252?\nAnswer: 11619253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1455 - -2004?\nAnswer: 3459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 222, 307, 466, 693, 982, 1327?\nAnswer: 1722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*b**3 + 14*b**3 - 3*b**3.\nAnswer: 13*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**3 + 7*j**2 - 4*j + 3. Let s be (-58)\/8 + (-59)\/(-236). What is t(s)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mh when two letters picked without replacement from hnhhmmmhhmh?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(4\/9)\/m)\/m*m**(-13\/5))\/(((m*m*m\/m**16)\/m)\/m)**(-10\/9) assuming m is positive.\nAnswer: m**(-937\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(4 + 152\/(-40)). Let s(a) = -11*a**2 - 8*a + 7. Let h(i) = -7*i**2 - 5*i + 5. Determine m*s(f) + 8*h(f).\nAnswer: -f**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -7*x + 33. Let r be n(-9). Suppose r*h = 98*h - 6. Suppose -h*d - 15 = -8*d. Solve 0*i - 12 = d*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 45 and 9?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) 4 (c) -1 (d) -59\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*z**2 - 11790*z - 94512 = 0. Calculate z.\nAnswer: -8, 3938","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 48*y - 53*y + 158, -4*y = 2*h - 124. What is the smallest common multiple of 3 and y?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (0 + sqrt(20) - sqrt(20)) - ((sqrt(25) - (-2*sqrt(3600) - sqrt(3600))) + sqrt(25))\/sqrt(5))**2.\nAnswer: -304*sqrt(5) + 7236","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 27 + -28. Let z be 1\/v*-8 + -4. Solve 4*o + 20*o**z + 23*o**3 - 8*o**2 - 8 + 8*o**4 + 68*o**2 + 53*o**3 = 0.\nAnswer: -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 3*m**2 - 30*m + 6*m + 20 - 10*m**2 + 11*m**2 = 0.\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1857762410 divided by -35590?\nAnswer: -52199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/((p**(2\/49)*p)\/p))**35*((p\/p**(-3\/8))\/p)**(-1\/5) assuming p is positive.\nAnswer: p**(9379\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1824112 to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 117*f**2 - 13*f - 80. List the prime factors of n(-5).\nAnswer: 2, 3, 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -2\/7 (b) -22 (c) -24833\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*m**2 - 673483*m + 19884551?\nAnswer: -4*m - 673483","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, -0.5, -1204, -3\/8, -14.\nAnswer: -1204, -14, -0.5, -3\/8, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 125\/3727458 and -11\/196182.\nAnswer: 3727458","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -26*n + 21*n + 20. Suppose 7*h - 5*h = -n. Let p be (-7 + 8)*(3 + h\/2). Is p less than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -28778 and 1536120.09?\nAnswer: 1564898.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes after 10:07 PM?\nAnswer: 8:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5279 (b) -7 (c) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 86 and 1118.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 336 and 30?\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 10057 a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**2 + 7*n - 12. Let g be q(4). Solve -3*p - 4*h - 11 = -2*h, -4*p + 3*h - 9 = g for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**2 + h - 1. Let u(o) be the second derivative of o**4\/3 - 2*o**3\/3 + 3*o**2\/2 - 2*o. Calculate -14*p(g) - 4*u(g).\nAnswer: -2*g**2 + 2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 10648 = -3*g + 10494, -5*x - 351 = -g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 50, 45, -2 in descending order.\nAnswer: 50, 45, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2053310 - 3?\nAnswer: 2053303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.007, -44, 2\/3, -1 in increasing order.\nAnswer: -44, -1, 0.007, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4903959, 4903938, 4903917, 4903896?\nAnswer: 4903875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 40841 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -87*k**3 + 1297*k**3 + 479410*k - 479410*k - 2*k**2.\nAnswer: 1210*k**3 - 2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2278 and 20.\nAnswer: 22780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (-7 - -2) - (-1 + -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/7 != 40.028?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -401\/1142 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1968626, -7874503, -17717632, -31498013, -49215646, -70870531, -96462668?\nAnswer: -125992057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - (2 + -7)) + 13 + -2?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -55a (base 12) in base 9?\nAnswer: -1067","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 10660\/18 - 3\/27*2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 252034 or 11.3?\nAnswer: 252034","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*v + 2*v + 100. Suppose 5*w = v, -4*b + 10 + 184 = 2*w. Calculate the remainder when b is divided by (198\/(-22))\/((-9)\/12).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45 + (-5 - ((-33 - -144) + -6)).\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 18301 (b) -1.1 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - 7500\/(-156)) + (-12)\/156?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are 155 and 132 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*n**4 + 103*n - 88 - 32*n**4 - 105*n + 87 to the form u*n + w*n**3 + k*n**2 + y + x*n**4 and give x.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 2*y + 3*x - 12, -3*y + 2*x = -14. Suppose 4*f - y*f = -30. Which is greater: f or -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 14, -3, -1\/10, 2?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*z**2 - z**2 + z**2 + (3 + 1 - 5)*(2*z - z - 3*z)*(-3 + 3 + 2*z))*(0*z - z + 5*z) in the form s + i*z**3 + k*z + d*z**2 and give i.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 2.82*-23\nAnswer: -64.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + 10 + -17 + -57 + 1 + -4 + 13?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 3, -5 in ascending order.\nAnswer: -5, 3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1890\/360*((-8)\/3 - 0). Which is the nearest to 1\/3? (a) 8 (b) 4 (c) k (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -32940, -65892, -98832, -131754, -164652, -197520, -230352?\nAnswer: -263142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 5*v**3 + 2*v + 7. Let f(t) = -5*t**3 - 3*t - 7. Calculate -2*f(l) - 3*x(l).\nAnswer: -5*l**3 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 12) to base 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 118 + -117. Suppose 0 = -g - w + 2. Is g bigger than 3\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2354 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1037904 is divided by 10191.\nAnswer: 8613","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-8))\/(196\/784).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 11, m: 1}. What is prob of picking 2 m?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.39 + 8.61. Let l = 12 - m. What is the biggest value in l, -16, -0.5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5288737?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = z - 5*r - 27, -3*z - 3*r = -27. Let s = z + -8. Solve -2*b - 2 = -s*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 22 + 0)*(3*b + 3*b - 5*b).\nAnswer: 28*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 8238, 32969, 74180, 131865, 206018?\n\"Answer: -z**3 + 8246*z**2 - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1662 divided by 6\nAnswer: -277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1453?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.2364 times -0.04?\nAnswer: -0.209456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 4 + 9 = r, -4*t - 3*r + 31 = 0. Let g be (-5)\/((-20)\/(-32)) + 2. Let u = g + 7. Solve -5*l = -t*l - u for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1737836 is divided by 1114.\nAnswer: 1110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -131 - -15. Let s = d + 68. What is s rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000284513529 to six decimal places.\nAnswer: -0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7707 + 37*a + 7910 - 16517 + a**2 wrt a?\nAnswer: 2*a + 37","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -8865, -17735, -26605?\n\"Answer: -8870*z + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 6, k: 4}. Give prob of sequence qq.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -89, -1\/4 in decreasing order.\nAnswer: 3, -1\/4, -89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 304736600 rounded to the nearest 100000?\nAnswer: 304700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -30087 minus 961?\nAnswer: -31048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 4*c + 24 = 0, -5*c = -2*m + 29 - 17 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -541 and -4494802.15?\nAnswer: 4494261.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 6, l: 2}. What is prob of sequence llp?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91*q - 607 - 250 = -311 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -11\nAnswer: -5\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11840?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**3 - 5*j**2 - 3*j + 7. Let f be 0*(-2 + (-9)\/(-6)). Let i(c) = c**3 + c + 6. Let u be i(f). Let q = -1 + u. Determine v(q).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-16 + 8)*(20\/(-8))\/(-5) + 98601 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*25\/(-380)*2*(-26)\/(-65).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 104133 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(252) + 1 + -2)**2 + (sqrt(252) + 1*sqrt(252) + sqrt(252) + sqrt(7) + (sqrt(847) + 1 + sqrt(847) - sqrt(7)))**2.\nAnswer: 68*sqrt(7) + 11454","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47186 is divided by 147?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (52\/1001)\/(34\/(-119)). What is the nearest to w in -83, -5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 7.6 and 5.2.\nAnswer: 39.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 32*f**2*k**2*m - 4510*f**2*m**2 + 29*f*k*m - k**2*m**2 + 4*k**2 - k*m**2 - 9*k*m + 46*m**2 wrt m.\nAnswer: -9020*f**2 - 2*k**2 - 2*k + 92","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-13)\/(-715))\/(82\/(-902))*10\/(-14).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 4*g = 8, -5*g - 20 - 8 = -b. Let d be (-3)\/6*(4 - 12 - -8). Solve -f + 13 = -3*m + f, -b*f - 3 = d for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 505 - 506. What is the second smallest value in -5, 0, u, 2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -3*h**2 - 14*h - 34. Let s(b) = b**2 + b - 1. Let r(u) = -a(u) - 2*s(u). Solve r(d) = 0 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 7\/4 of a hour?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 38.8056394+0.4\nAnswer: 39.2056394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 15? (a) 3 (b) 0.03 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 907757 (base 10) to base 6.\nAnswer: 31242325","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {a: 2, w: 2, n: 4, u: 12}?\nAnswer: 33\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m + 7. Let t be (-5 - -2)*1\/(-6)*10. Suppose 4*h - 12 = -t*l + 4*l, 6 = 2*h + 3*l. Give i(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10*c**3*d*p + c**3*p - 5*c**2*d*p + 18*c**2 - 2*c*d wrt c.\nAnswer: 60*d*p + 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5588758 at most as big as 5588759?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 33 - (-51 + 17 - -71).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes after 4:30 AM?\nAnswer: 9:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 915 + -914.7. Sort x, 2\/21, -4 in decreasing order.\nAnswer: x, 2\/21, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 251 is divided by 36.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -81.995 + 82. What is c rounded to two dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2, -150, 1, -2 in increasing order.\nAnswer: -150, -5, -2, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -5 (b) 0.5 (c) -53125\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 342241\/377776 + -14\/3373. Calculate the common denominator of 73\/112 and i.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t. Let z(u) be the third derivative of -7*u - 109\/60*u**5 + 0*u**4 - u**2 + 0 + 0*u**3. Determine p(z(m)).\nAnswer: 109*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -4*g + m + 320, 400 = 5*g + 2*m. Calculate the highest common divisor of 620 and g.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 655 - 608. Suppose 0*k + 70 = 5*k. Let h = z - k. What is the greatest common factor of h and 264?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -111 - -41748\nAnswer: 41637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (510\/12*(-8)\/(-30))\/(32\/(-48))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/(-6)*(-175752)\/68348?\nAnswer: 48\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -9*d + 4*d + 195, 0 = 4*d + y - 136. Calculate the remainder when d is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1110110 (base 2) in base 10?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 36 = -4*v, -3*v - j + 35 = 4. Suppose 3*i = -2*i - 15. Let d(o) = -7*o. Calculate the remainder when d(i) is divided by v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1064320, -1064244, -1064118, -1063942?\n\"Answer: 25*b**2 + b - 1064346","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = k + 12. Let c(n) = 5*n**2 - 3*n - k*n**2 - 5*n**2 + 3 + 5*n**2. Let r be c(4). Solve -2*z - d + 0 = -r, d + 3 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_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: Suppose 4*q + 6 = 3*q - 4*j, -46 = -5*q - j. Let h(d) = 41*d + 2834. Let x be h(-69). Calculate the greatest common factor of q and x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 485*v - 408*v + 794*v + 3 in the form g*v + s and give g.\nAnswer: 871","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 82768274 divided by -2\nAnswer: -41384137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 10593\/105 - (-2)\/5. Let r = -221 + 120. Let w = i + r. Which is the third biggest value? (a) 1 (b) w (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 12*c**4 - 2181*c + 14325 wrt c?\nAnswer: 48*c**3 - 2181","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*z**40)*z**33)\/(z**19*z**(2\/69)*z) assuming z is positive.\nAnswer: z**(-1865\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n - 3*n = -490. What is the lowest common multiple of n\/(-6) - 2\/6 and (5\/4)\/((-13)\/(-208))?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1998905?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**2\/4 - 35*k\/2 - 69\/4.\nAnswer: -(k + 1)*(k + 69)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-28)\/(-8)*54\/21. Factor 17*v**3 + l*v**3 - 2*v**4 - 3 - 6*v + 5*v**4 - 20*v**3.\nAnswer: 3*(v - 1)*(v + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14*s**5 - 32*s**4 + 8*s**3 + 28*s**2 - 22*s + 4.\nAnswer: 2*(s - 1)**3*(s + 1)*(7*s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -1258.92 to the nearest one hundred.\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.5300399 + -3.53. Round l to six dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -2\/3*z + 0 + 5\/3*z**2 = 0.\nAnswer: 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64155 divided by -12831?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(-2)*(-42)\/(-3). Suppose -49 = d + 4*d - z, -31 = 3*d + z. Let b be d\/(-35) - (-5)\/i. Solve 2*r = 3*r + b for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r. Let w(k) = 3*k - 28. Let t(v) = 2*p(v) + w(v). Suppose -24*d = -23*d - 7. Is t(d) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67316 to the power of 1\/3, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.92921 + -0.018?\nAnswer: 0.91121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6160 and 59640?\nAnswer: 1312080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 9 = -19. Suppose 5*y + 2 = k*a, 0 = -5*y - 0*y - a + 1. Suppose -2*z + 4 = -y*z. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x + 2 - 0. Let k be 4\/x + -1 + -1. What is the units digit of 3\/12 + k\/(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-136)\/24*3*-1. Let z = l - 18. Which is the closest to z? (a) 5 (b) 4 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 0.3 (b) 794 (c) 3498\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the first derivative of -2\/3*z**3 + 0*z**4 + 0*z + 0*z**2 + 1\/1080*z**6 - 1 - 1\/360*z**5. Let u(d) be the third derivative of v(d). Factor u(g).\nAnswer: g*(g - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -1 - (-11 + -2 + 11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 - 3. Let d be f\/2 + 3 + -1. Solve 0 = -y - d*y + 4 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 6282 - 4290 = r, 5*g + 4*r - 10612 = 0. Does 2 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the third derivative of f**5\/60 - f**4\/8 - 5*f**3\/6 - 41*f**2. Let c(g) = -5*g. Let j be c(-1). Determine z(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1297617137?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/(-12) + (-7)\/(-3). Suppose -n - 4 = 0, -p*n + 4 = 3*f - 3. Solve -2*w - 2*v - 2*v = 18, -f*v = -2*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.9 + -7.1. Let r = n - -7.98. Let u = r + 0.020064. What is u rounded to five dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/((63\/(-35))\/(-3)). What is the smallest value in w, -3, 1\/6?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 108357 and 57.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 15, 100, -0.5?\nAnswer: 100","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - 460\/(-30)*((-92)\/24 - -4).\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aj when two letters picked without replacement from {a: 9, j: 3}.\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -684 + 636. Let d be 8\/y*-88 - 3. Factor -d*w - 11\/3*w**2 - 1\/3*w**3 - 25\/3.\nAnswer: -(w + 1)*(w + 5)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 518*y - 100600. Determine k(193).\nAnswer: -626","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-845)\/52 + 16)*(0 - -1). Sort 2, g, 0.2, -173.\nAnswer: -173, g, 0.2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from {d: 9, t: 3}.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 68.5 - 68.8. Which is the second biggest value? (a) 0.04 (b) 0.4 (c) -2 (d) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 192546017 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1228365313 to the power of 1\/3, to the nearest integer?\nAnswer: 1071","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 116941 to the nearest integer?\nAnswer: 342","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -2 (b) -5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6045 + 6079. Which is the fourth smallest value? (a) -1 (b) 5 (c) r (d) -0.01 (e) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -157*g + 154*g = -9, 0 = -5*d + 3*g + 1 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 0.4, -1\/72?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 2*c. Find the third derivative of -2*g**2 + 4*g**2 + c + 0 - 2*g**3 wrt g.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 + 6?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -8*h + 25. Suppose -h*x + 2*j + 25 = -2*j, 4*j = 2*x - 22. What is the common denominator of (2 - x) + 215\/55 and 101\/2?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2238?\nAnswer: 2, 3, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -186*b + 1. Let k(z) = 25*z**2 + 2*z. What is n(k(x))?\nAnswer: -4650*x**2 - 372*x + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 2 p, and 1 v when four letters picked without replacement from vbkpkvbbvbpvbkvvpkkp?\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (36\/(-30))\/((-7)\/(-35))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-12)\/16)\/(1*3\/(-12)). Suppose n + 2*n + 259 = 5*a, r*a - 4*n = 151. List the prime factors of a.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = a + 13. Let g be 4\/a + 92\/5. Suppose 0*b = -3*h + 3*b + 6, -4*h + 2*b + g = 0. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**3 + 2*g**2 + 13*g. Give l(-4).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 - 1. Suppose c*s = -2*s + 16, 4*b - 2*s = 24. Calculate the smallest common multiple of 6 and b.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -5*c**5\/4 + 59*c**4\/2 + 63*c**3\/4 - 86*c**2 - 95*c - 24 = 0.\nAnswer: -1, -2\/5, 2, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-80*m + 98*m + 99*m)*(-4 + 2 + 1).\nAnswer: -117*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c + 3*c + 2*c**2)*(-3*c + c + c) + (3*c + 0*c - c)*(8 - 8 + 25*c**2).\nAnswer: 48*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (45 - 42 - (0 - 122\/(-40)))\/((-1400)\/500)?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3934*x = -111221 - 85479 for x.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -45.48 + 51.3. Let w = d + -4.82. Which is the biggest value? (a) w (b) 48 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 50*h - 347. What is n(7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -2*f + 37. Let k be a(17). Solve 2*q - 2 - k = 3*v, -5*v = 5*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**2 - 10*f. Let s be v(-6). Suppose 2*k = -k + s. What is the third derivative of -9 + k*m**6 - 4*m**6 + 9 + 11*m**2 wrt m?\nAnswer: 480*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 171456851?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence meai when four letters picked without replacement from {i: 2, a: 1, m: 1, e: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 100 + -97. Suppose -d*i - i = -28. Suppose -11 - 45 = -i*h. What is the highest common divisor of 2 and h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 307822, 615641, 923460, 1231279?\nAnswer: 1539098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**7\/(k**8\/k)*k**(-3\/8)\/k**(-5))\/((k*k*k*k*k**(3\/4))**(-2\/45))**(-4) assuming k is positive.\nAnswer: k**(1361\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0\/(0 - 1) - -5. Let h(v) = -v**3 + 13*v**2 - 22*v + 8. Let l be h(11). What is the tens digit of p*l + (-7 - -10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lpmm when four letters picked without replacement from pplpplmppllpmp?\nAnswer: 8\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 14 + -3 + 1 - (37 - 32)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**3 - 14*o**2 + 13*o. Let a be 390\/45*(-3)\/(-2). Let y be w(a). Solve y = x + 3*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 98, 76, 16, -100, -290, -572, -964, -1484?\n\"Answer: -3*z**3 - z**2 + 2*z + 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 18737 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 265*y**3 - 2*y**2 - 790*y?\nAnswer: 1590*y - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2712?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 48\/((0 + 4\/8)*2). Suppose 5*q - j = 6*q. Calculate the common denominator of q and 43\/62.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes before 12:12 AM?\nAnswer: 8:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 111\/4 + -567\/20. Let w = 237 - 254.8. Let v = w + 13.8. What is the closest to 0.1 in v, z, 2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-4)*(1344\/160 - 6)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75419 to the power of 1\/3, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes before 6:34 PM?\nAnswer: 10:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jsk when three letters picked without replacement from rkrvsjkls?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k - 19 + 1 = 0. Suppose 0*h - 2*h = -3*f + 7, 5*f = 3*h + 13. Put 7, 1, f, k in increasing order.\nAnswer: k, 1, f, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/13 (b) 0 (c) -7\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*m = 4*u + 18, -2*m - 35*u + 31*u - 2 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15 - -13. Let c = -2 - -4. Put c, p, 5 in increasing order.\nAnswer: p, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kqmkqmxqmxwwqqq. What is prob of picking 1 x and 2 w?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the third derivative of -j**5\/15 - 10*j**4 - 600*j**3 - 2*j**2 - 18*j. Find n, given that v(n) = 0.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 478.1859 days in milliseconds?\nAnswer: 41315261760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 4*v**2 - 2*v - 1. Calculate o(2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 191483 and 457?\nAnswer: 457","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + 8, 3*c - 133206 = -3*y + 32496. Suppose 4*p + 20700 = c. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:25 AM and 10:28 PM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -3, 64, -24, 2, -31, -7, -2\/9?\nAnswer: 64","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:49 PM and 8:45 PM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -905568, -905708, -905850, -905994?\nAnswer: -906140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 5030237, 5030236, 5030235, 5030234, 5030233?\n\"Answer: -w + 5030238","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:03 PM and 10:09 PM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/(-72)*-8*-39*((-40)\/35)\/(-8)?\nAnswer: -39\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 12*h**2 + 106*h - 280. What is m(-14)?\nAnswer: 588","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 272\/(-96)*142\/1207\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is z in z**5 - 29*z**4 + 268*z**3 - 640*z**2 - 1600*z + 2000 = 0?\nAnswer: -2, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (-130)\/25 + 26\/5\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7357*t**3 + 11690 wrt t?\nAnswer: -22071*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 6431*f**3 + 13*f**2 + 50*f + 8. Let b(v) = -2145*v**3 - 3*v**2 - 17*v - 3. Let n(h) = 8*b(h) + 3*u(h). What is the third derivative of n(c) wrt c?\nAnswer: 12798","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t*t*t**18*t)*t**(4\/11))**(-46\/3) assuming t is positive.\nAnswer: t**(3312\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the second derivative of -b**4\/12 - 13091*b. Let y(v) = 4187*v**2. What is y(f(z))?\nAnswer: 4187*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*x + 0*x - 2*x)*(-3 + 2 + 4) + 4*x + 8*x + 12*x to f*x + r and give f.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1059?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 49901, 200959, 452721, 805187, 1258357, 1812231, 2466809?\nAnswer: 3222091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**2 - 4*c - 4. Let h be 10*(3 - (-28)\/(-8))\/(-1). What is r(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**2 - 30*h + 132. Let t be a(-34). Let b(s) = s**2 + 8*s + 5. What is b(t)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 194585 = 4*d + r, -4*r + 50505 = d + 1870. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50563.13 decades in months?\nAnswer: 6067575.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*w**3 - 2623 + 13*w**3 - 52*w**3 + 16*w**3.\nAnswer: -10*w**3 - 2623","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 29 in 6\/7, 0.029, -0.5, -2?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 35*l - 1732 + l + 1712 + 12*l to g*l + w and give w.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -94.2 (b) 3\/2 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.1509, -191, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v + 2*k - 5, 3*v + v - 5*k - 45 = 0. Suppose -9*d - 12 = -v*d. Let g be (1\/4)\/(11\/(-4) - d). Solve -b = -3*m + 3, m - 6*m = -3*b - g for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1568160 is divided by 10386?\nAnswer: 10260","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 25949386 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 32916 and 28502513.\nAnswer: 2743","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 - d2b?\nAnswer: -d30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 9.25 and -477?\nAnswer: -4412.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4696 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: Is 1337 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71672694.\nAnswer: 2, 3, 11945449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k = 3*k + 72. Suppose -4*q - 6 = -k. Let o(s) = s**3 - 8*s**2 + s - 4. Let p be o(8). Solve 18 = -q*f - p*m, f - m - 1 = -0*m for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2821?\nAnswer: 7, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 3*x - x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*c**2 - 7*c**2 + 2*c**2 - 124*c**3 + 96*c**3 wrt c.\nAnswer: -168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j + 9 = -4*r - 3*j, -4 = -4*j for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 340*r - 3. Is m(2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-9)\/((-9)\/2) - (3 - 1). Suppose -5*i + 18 + 237 = u. Is 17 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4044832 divided by -2.\nAnswer: 2022416","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 7 + -5 + -13 + 2. Let j = 13 + q. Suppose -j*a - 44 = -6*a. Solve 2*r - 4*w + 16 = r, -2*w + a = -4*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -2*a**2 + 4*a + 101. Let n be f(8). Suppose 8 - 39 = -n*l - 3*h, l - 3*h = -1. Solve 0 = 2*j - j - l for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 0 + -3 + -19 + (42 - 24).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -3, 4356, 0, 1, 2 in decreasing order.\nAnswer: 4356, 2, 1, 0, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1017 - 1054. Let y be (6\/10)\/((-2)\/(-10)). Let w = y - t. Does 9 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 68283722*l**3 - 21663021*l**2.\nAnswer: 409702332","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 47 or 2350\/51?\nAnswer: 47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 106*x + 270 = -883 - 13 for x.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 175604 is divided by 416?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ilhf when four letters picked without replacement from aiahaaahalhaaahfala.\nAnswer: 1\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -625*k**3 + 143740*k**2 + 2300*k = 0.\nAnswer: -2\/125, 0, 230","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 11074277 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 13419 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (4*(-3 + sqrt(272)))**2 - (-1*sqrt(153)*-6 + sqrt(153))\/(sqrt(81)\/(2*sqrt(9))).\nAnswer: -398*sqrt(17) + 4500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 6) to base 2\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cskg when four letters picked without replacement from cgcssssssskssssckcc.\nAnswer: 55\/46512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 179238 is divided by 89614?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 60\/810 + -3*136\/(-1053). Put 7\/2, g, 0 in increasing order.\nAnswer: 0, g, 7\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**2 - r + 97. Let y(d) = -11011*d**2 - 10*d - 898. Let z(b) = -5*s(b) - y(b). Find the second derivative of z(p) wrt p.\nAnswer: 22012","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**3 - 81*j**2 + 438*j - 360.\nAnswer: 3*(j - 20)*(j - 6)*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -1909*y + 17179. Calculate j(9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(3) + sqrt(15)\/sqrt(5) + -2 + ((sqrt(528) + sqrt(33))\/sqrt(11) - sqrt(3) - sqrt(3)) + -5 + -2 + -2.\nAnswer: -12 + 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -484, 1, -18, 6 in ascending order.\nAnswer: -484, -18, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -8 + 6\/(-2) + 0. Let x = l + 6. Is -4 at least x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 2*s**2 - 4*s + 11. What is the remainder when c(-6) is divided by 212\/6 - 2\/(-3)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, -9, -4, -76 in ascending order.\nAnswer: -76, -9, -4, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 8 = 5*c - 25, -a - 21 = -5*c. Suppose -32 + 133 = a*z + n, -5*n = -z - 1. Calculate the greatest common divisor of z and 136.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2 + 13*q + 19*q + 459*q**4 + 1 - 595*q**4 + 4 wrt q?\nAnswer: -1632*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1*12*(-3)\/6. Let l = t - 0. Calculate the remainder when 13 is divided by (-1 + 15\/l)*-2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - -6 - (-2 + -3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**2 - 6*l. Let i be p(-5). Solve 3 = 2*d + i for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:24 AM and 9:14 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 3*f - 3. Calculate the least common multiple of 10 and s(4).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16902443 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (10*t**3 + 18*t**3 + 15*t**3 + (-2*t + 2*t + t**2)*(-4 - t + 4))*(1 + 0 - 2) to l*t**3 + y*t**2 + q*t + z and give l.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k - 2. Let b be a(8). Let l(d) = 8 + 0*d**2 - 3*d**3 + 4*d**3 - b*d**2 - d**2. Let j(m) = m**3 - 21*m**2 + 52*m + 43. Let n be j(18). Calculate l(n).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**3 - 7*n**2 - 13*n - 18. Let x be (22\/(-3))\/(2 - (-8)\/(-6)). Let a be s(x). Let k = a + -394. What is the greatest common factor of 86 and k?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 74154748?\nAnswer: 2, 17, 491, 2221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 255 divide 554115?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 9546 a multiple of 74?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cpccpcpfmfccm. What is prob of picking 2 p?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5416 by -17.\nAnswer: 5416\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 3*a - 175 = 0. What are the prime factors of a?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the second derivative of j**5\/20 + 17*j**4\/12 - 7*j**2\/2 - 6*j. Let w be z(-17). Is ((-11)\/(-2))\/(w\/(-98)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 - 5\/(-2))\/(5\/(-2)). What is the nearest to g in -5, -4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-6) - (-6)\/9. Let c(d) be the first derivative of 129*d**2\/2 - 3*d + 1270. What is the hundreds digit of c(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4082557 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -77*m**2 + 77*m**2 - 14*m**4 + 33 + 7*m. Let h(x) = 7*x**4 - 3*x - 17. Let c(g) = 7*h(g) + 3*t(g). What is the first derivative of c(a) wrt a?\nAnswer: 28*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4924 - -4930. Solve -12*u = -14*u + j for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -60, -127, -194?\n\"Answer: -67*z + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.5 (b) -18\/17 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 80876 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -19*q - 6. Let k(w) = -52*w - 21. Let g(y) = -4*k(y) + 11*o(y). Give g(7).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57854?\nAnswer: 2, 28927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 - 3) + 2*3. Let l(u) = 11*u**2 - u. Let s(o) be the second derivative of -17*o**4\/12 + o**3\/3 + o - 377. What is y*s(q) + 8*l(q)?\nAnswer: 3*q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1.08 + -2843\nAnswer: -2844.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**3 + 9735*c**2 + 58365*c - 57. What is y(-6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 3) to base 2\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -11, -1, -33479, -2 in descending order.\nAnswer: 0, -1, -2, -11, -33479","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1 (b) -922\/5 (c) 92\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/6276 and 139\/618.\nAnswer: 646428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38 + 206 = 3*x - 24*x for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1694599 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -847 in -2\/5, -5, 0.4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 788, 2409, 4890, 8237, 12456, 17553?\nAnswer: 23534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 284618?\nAnswer: 2, 101, 1409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -51332765, -51332740, -51332715?\nAnswer: -51332690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2901*2\/(-4 - 2). Suppose -w = -5*c - 3*y, y - 12 = -2*y. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1822 - 1821.8429. Round x to 2 dps.\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31284 to the power of 1\/3, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 923370 is divided by 920.\nAnswer: 610","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are 4\/31 and 1151 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 287*h - 112 = 283*h. Let l(j) = -22*j - 3. Suppose -4*f - 40 = 4*x, -15 = -2*f + 5*x - 0*x. What is the remainder when l(f) is divided by h?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, 3835 in decreasing order.\nAnswer: 3835, 5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -35*y - 34. Let l be x(-6). Calculate the greatest common divisor of l and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/7 in 5, 0, -0.065?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the second derivative of i**4\/12 - 4*i**3\/3 + i**2 + 21*i. Let h be w(8). Determine k, given that -4*k + 115*k**2 - 12 - 106*k**h + 0*k - k**4 = 0.\nAnswer: -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + 3. Let s be p\/14 - (-10)\/14. Calculate the remainder when 2 is divided by ((-8)\/(-20))\/(s\/5).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**2 + 10890*w + 185435. Give r(-17).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 5 (b) -19 (c) 3 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**3 - 7*c**2 - 5*c + 5. Suppose 4*u - 6*u + 10 = 0. Let y(o) = o**3 - 4*o**2 - 3*o + 3. Calculate u*y(w) - 3*l(w).\nAnswer: 2*w**3 + w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 780 - 745. Suppose 0 = -80*d + 76*d - 24. Is d < c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 396.\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8*o - 2*o + 2*o)*(17*o**2 - 7*o**2 + 5*o**2) to w*o + x*o**2 + j + g*o**3 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (-11 - (-9 - (-4 - -4))).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the third derivative of z**7\/10 + 7*z**4\/12 + 19*z**2. What is the second derivative of n(k) wrt k?\nAnswer: 252*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/430768 and -33\/25688.\nAnswer: 5599984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -503*v**2 + 1384*v**2 + 71 - 71 - 155*v**3 - 881*v**2.\nAnswer: -155*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2\/13)*f**(-2\/17))\/(f\/f**0)**43 assuming f is positive.\nAnswer: f**(-9563\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 19958 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 803362020?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2622, 2634, 2646, 2658, 2670, 2682?\n\"Answer: 12*j + 2610","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 - -330004?\nAnswer: 330000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.10490286 rounded to 4 dps?\nAnswer: 5.1049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t - a + 6, 2*t = 3*t + 3*a - 13. Let i(z) = -z**3 - 3*z**2 - 3*z - 1. Suppose -2*g + 5*g = -6. What is the remainder when i(g) is divided by t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes after 5:52 PM?\nAnswer: 5:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9324.5458 + -9318. Let o = 0.45282 + f. Let k = o + -7. Round k to 4 dps.\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4469 is divided by 4387.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hqnz when four letters picked without replacement from wnzqqnhqnzhwnynqnw?\nAnswer: 1\/765","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 + -1. Suppose 3*i - w*u - 77 = 0, 3*u - 56 = -4*i - u. Suppose -5*j + 30 = -2*j. Calculate the remainder when i is divided by j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:18 PM and 11:10 PM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in fourty-one halves of a meter?\nAnswer: 2050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -78.5 - -78. Let s be (2 - 6) + (-100)\/(-26). Sort z, 1, s, -1 in descending order.\nAnswer: 1, s, z, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-282)\/13032*(-19)\/(-19) and -79\/6.\nAnswer: 2172","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 139*m - 30. Give t(1).\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 2*d + 1, 0 = -4*v + 3*d - 100 + 110. What is the closest to -1 in v, 0.5, 3, 0.09?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 40*o. Let v(i) = -45*i + 2. Calculate n(v(f)).\nAnswer: -1800*f + 80","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 9841.771ns in milliseconds?\nAnswer: 0.009841771","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the first derivative of 6*k**3 + k**2 - k - 11. List the prime factors of h(1).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 6 + 4 - 2 + i**3 - 2 + 6*i**2. Let t be l(-6). Suppose 28 = q - t. List the prime factors of q.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5132162 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 175699 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*s + 4 + 1 = 41. Suppose 2 = -t + 7. Solve -2*n - 3 = r + s, -t*r = 2*n - 4 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -2*s**3 - 5*s**2 - 11*s - 5. Let n(m) = -m**3 - 2*m**2 - 6*m - 2. Give 5*n(i) - 2*p(i).\nAnswer: -i**3 - 8*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, 2, -48153, 4, -5, 0.2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -40031\/34233 <= 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4400 - 2344. List the prime factors of q.\nAnswer: 2, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/1)\/(-1*15\/5)*6\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 59\/66 - 13\/33. What is the closest to -4 in 3\/5, f, -3, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -159841 by 1.\nAnswer: -159841","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3260, 5, 3 in decreasing order.\nAnswer: 5, 3, -3260","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -51 divided by 838.\nAnswer: -51\/838","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 109 + 113 = 0. Let y = 2 - 4. What is the nearest to c in 0.3, y, 0.6?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 b when two letters picked without replacement from {v: 2, b: 1, o: 1, k: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -2*b**3 + 5*b**2 - 9*b + 11. What is i(3)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -475*f*u - 85380044*f + 44595*u**2 wrt u?\nAnswer: -475*f + 89190*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (50\/15 - 0)*(-6)\/4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -86 + 50. Let c be ((-72)\/(-15))\/(-2)*-30. Let t = c + p. Calculate the remainder when t is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 4*p**2 - 2*p - 233. Let j(n) = 17*n**2 - 9*n - 931. What is -9*a(w) + 2*j(w)?\nAnswer: -2*w**2 + 235","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**2 + 6*c + 2. Let d be f(6). Suppose 292 = 6*y - d*y. Calculate the remainder when y is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97559537 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 5*s**2. Let h(i) = i**3 + 7*i**2 + 3. Let u be h(-7). Let g(d) = u*d**2 - 22*d + 22*d. Give g(r(k)).\nAnswer: 75*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5 + 5 + q)*(-4*q + 2*q - q) - q**2 + 5*q**2 - 2*q**2 - 4*q + 4*q - 2*q**2)*(6*q - 7*q - 6*q + (-q + 5 - 5)*(1 - 4 + 1))*(-2*q**2 + q**2 - q**2).\nAnswer: -30*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 461 + -378. List the prime factors of ((-6)\/(-1) + 58)*x\/4.\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -11*z**2 + 5*z - 5. Let w(d) = 6*d**2 - 2*d + 3. Let g = -449 + 444. What is g*w(v) - 3*q(v)?\nAnswer: 3*v**2 - 5*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 64 - 60. Let f be 167\/11 - x - (-4)\/(-22). Solve -o = 5*a + 24, 2*a - f = 5*o + 1 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 148 + -88. What are the prime factors of f?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(1377))**2 - ((sqrt(17) - sqrt(68)\/sqrt(4)) + 5)**2)*6.\nAnswer: 32898","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.5 (b) -3 (c) -2\/465\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 2 e when three letters picked without replacement from {m: 6, d: 1, l: 3, e: 2}.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1959 and 792699.\nAnswer: 794658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-496)\/465 - ((-4)\/(-10))\/(-2)*-3?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes after 12:36 AM?\nAnswer: 8:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-6)*(29 + 1043\/1092*-30).\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*b**2 + 4*b**2 + 0*b**2 + (-1 + 1 + b)*((-4*b + 6*b + 0*b)*(0 + 0 + 2) + (-1 - 3 + 3)*(-b - 8*b - 2*b))*(0 - 5 - 7).\nAnswer: -174*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from mjljjjjjjpjljmmj?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 551*v - 1389*v - 694*v - 1297*v to the form p*v + j and give p.\nAnswer: -2829","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-1)*b**(10\/9))\/(b\/b**(-1))**(-29) assuming b is positive.\nAnswer: b**(532\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 4*q - 3, 5*q - 35 = -0*q + 5*f. Let d(m) = -5 - 2 + 48*m**q + 3 + 6*m + 3. Is d(3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 329.5473+-10691\nAnswer: -10361.4527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes before 4:02 PM?\nAnswer: 5:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-12))\/((-1 + -5)\/30)?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44051265 divided by 5.\nAnswer: 8810253","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4789842985 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 + 5. Differentiate -c*i**4 - 8 + 1 + i**4 wrt i.\nAnswer: -8*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-48)\/32)\/((-3)\/62). Let f = s - 30. Is 1 greater than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1230 divided by -1?\nAnswer: 1230","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, e: 1, n: 5, w: 3, d: 1, k: 1}. Give prob of sequence wnkn.\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -296 + 129?\nAnswer: -16b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1899, 3796, 5693, 7590?\n\"Answer: 1897*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a**2 - 5 + 5)*(0 + 15 - 2)*(4*a - 4*a + a**3).\nAnswer: 26*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -9*h**3 - 4*h**2 + 2*h - 2. Let v(i) = 8*i**3 + 3*i**2 - 2*i + 2. Give -3*l(z) - 4*v(z).\nAnswer: -5*z**3 + 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -14 bigger than -13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/(-6) + 6\/9?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m - 3*m - z - 192807, 2*m - 3*z - 385619 = 0. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/1)\/((-69)\/(-46)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 567\/2835*5*3\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -19177 - -19176. Let j = -4.3 + 4. Which is the nearest to 0? (a) -2\/11 (b) j (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4342 + -2563. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the second derivative of 0*c**3 + 0*c**2 + c + 0 - 1\/12*c**4. Let j(b) = b. Calculate j(h(d)).\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.8? (a) 1 (b) 1\/4 (c) 0.5 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.005 * 2.210052\nAnswer: 0.01105026","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 10 = 95. Let v = -39 + j. Sort 2, -2, v in descending order.\nAnswer: 2, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(4*(3*sqrt(99) + 0) + (sqrt(99) - -2*sqrt(99)*-1) + -3)*4)**2.\nAnswer: -28512*sqrt(11) + 1726272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**3*o**(-2\/15))**(-3)*(o**0\/o)**(-45)*o**(2\/3)*o*o*o*o\/(o*o**(-2\/3)) assuming o is positive.\nAnswer: o**(836\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 239*l - 165*l + 4896 = -214*l for l.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a litre in millilitres?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0+11.142\nAnswer: 11.142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1210122120112 - -2?\nAnswer: -1210122120110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 40055304.58000034 - 40055305. Let r = 0.46 + -0.04. Let u = r + w. What is u rounded to 7 decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 57\/1952 and 125\/366.\nAnswer: 5856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 19 = -6*s + 2*s, 0 = 3*f - 2*s - 13. Solve 3*k = 4*b - 1, -3*k - 2*b + f - 18 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.85148 - -0.14852. Sort 9\/4, -14, -5, m, 0.2 in descending order.\nAnswer: m, 9\/4, 0.2, -5, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 divided by -5816078?\nAnswer: -7\/5816078","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*x + 3*k, 26 = 2*x + k - 6*k for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71 is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56018.\nAnswer: 2, 37, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 9, -7, -2, 11, -10, 1 in decreasing order.\nAnswer: 11, 9, 1, -2, -5, -7, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 + -5. Let i(b) = 5 + 4*b + 4*b**y - 3*b**2 - 5*b + 9*b. What are the prime factors of i(-9)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8 + -7 - (-102 + -1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 47*h**3 + 4*h**2 + 9*h - 187. Let k(l) = 35*l**3 + 3*l**2 + 8*l - 188. What is -4*k(f) + 3*w(f)?\nAnswer: f**3 - 5*f + 191","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1954616 divided by 1052.\nAnswer: 1858","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 61\/2 of a minute?\nAnswer: 1830","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -565 + 6215*m**2 - 12426*m**2 + 6215*m**2 as t*m**2 + w + g*m and give t.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 266*(-1)\/(-2) - 0. Let f be 106\/(-8)*12\/(-3). Suppose 5*h + f = c. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 3*a - 2*a = -12, 5*s - a - 2 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9 and 6711522?\nAnswer: 20134566","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 7086659 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4b (base 16) in base 5?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4524?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - d = 18, 3602 - 3606 = -2*d for f.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 275 = -3*h - 3*o, -4*h = -5*o - 1049. Let u = h - 189. Suppose u + 19 = 4*f. Does 12 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*g + 24 - 6. Let o be (6 - (g + -1)) + -1. Suppose 0 = o*i + 8*i - 418. Does 9 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6\/349 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*f + 310 = 90*f - 54*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**2 - 20*o + 36. Let i be j(18). Suppose i = -9*c + 5*c + 8. Solve 4 = 4*x - c*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjoijjjqiiijj. Give prob of picking 1 j and 1 o.\nAnswer: 7\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -31078 - 431?\nAnswer: -31509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - m + 5 - 16, n + 4 = -2*m. Factor 2\/13 - 2\/13*k**3 + 2\/13*k - 2\/13*k**n.\nAnswer: -2*(k - 1)*(k + 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(65)\/(sqrt(5) - (sqrt(45)\/sqrt(9) - sqrt(5))) + (2*sqrt(1053))**2 + (sqrt(13) + 2)**2*4.\nAnswer: 20*sqrt(13) + 4280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 87117732997 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(2057)*2 - sqrt(17)) + -2 + sqrt(17) + -2)*-5*-6*-4)**2.\nAnswer: -2534400*sqrt(17) + 118713600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x + 1. Let s(r) = 12*r**2 - 2*r + 1. Give -s(q) + 3*t(q).\nAnswer: -12*q**2 - q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 19*v**3 + 268*v**2 + 42*v + 202. Give j(-14).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 556991667?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -298, -427, -556?\nAnswer: -685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22 (base 7) to base 5.\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 325027644?\nAnswer: 2, 3, 89, 271, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kvvk when four letters picked without replacement from {k: 5, v: 7}.\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -7*q + 10*q + 4 - 5*q - 15*q - q**2. What is the remainder when r(-5) is divided by 19?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -551, -635, -719?\n\"Answer: -84*n - 467","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the second derivative of 3*p - 1\/3*p**3 + 3*p**2 + 0. Give h(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**15*k\/(k*k*k**14)*k**(-15)\/k*k**(-12) assuming k is positive.\nAnswer: k**(-28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z = 5*p - 75, -4*z - 45 = 1950*p - 1955*p for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v**2 - 2*v**2 + 5*v**2 + (5*v - 4*v + 0*v)*(v - 3*v + 0*v) + 2 + 2*v**2 - 2)*(1 - 6 + 1).\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -724182.7126 rounded to the nearest one hundred?\nAnswer: -724200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 21*x - 105*x + 53*x to the form b + g*x and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -1800*a. Let j(u) = -10*u - 101 + 4*u + 45 + 56. Calculate l(j(f)).\nAnswer: 10800*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 268\/35 or 7?\nAnswer: 268\/35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 4 - 2*y**3 + (495703621 - 495703621 + 347*y)*(y**2 - 3 + 3) in the form z + c*y + j*y**3 + l*y**2 and give j.\nAnswer: 345","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7\/1075 + -668\/1075. Which is smaller: -1 or g?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, i: 1, n: 1, q: 1, c: 1}. What is prob of sequence nc?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-816)\/(-48) - (102\/2)\/(-3)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 550*b**4 + 1825*b**2.\nAnswer: 13200*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-1) - ((-14)\/(-1))\/14?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 17*f**5*h - 6*f**3*h - 29*f**2 - 2*f*h + 2 wrt f?\nAnswer: 1020*f**2*h - 36*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 91 and 572?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**2 - 2*d - 1. Let n(y) = 14*y**2 + 278*y + 15889. Let i(t) = -26*k(t) - 2*n(t). Find a such that i(a) = 0.\nAnswer: -126","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**2 - 9*a - 88. Let m be h(-6). Factor -15\/2*j**m - 8*j - 2.\nAnswer: -(3*j + 2)*(5*j + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i + 4*o = -2*i - 31, 3*o + 21 = 3*i. Let h be (-2)\/11 - (-2768)\/(-11). Let a = 252 + h. Sort i, -1\/6, a in descending order.\nAnswer: i, a, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/(-7))\/(2\/(-56)). Let p be ((3 - 2)*1 - 2)*-35. Let t = 39 - p. Solve -w = -t*u - 4 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 303757 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 69 - 35. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-2\/3))**(3\/13)\/(z**1\/z)**(-11))\/((z*z\/z**(-1\/3))**(1\/14))**(-3\/37) assuming z is positive.\nAnswer: z**(-135\/962)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, -30 in decreasing order.\nAnswer: 5, -5, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1289399001.\nAnswer: 3, 11, 6203, 6299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u when three letters picked without replacement from uuuuuuzuuzuuquzqqu.\nAnswer: 55\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are -249 and -1786\/9 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12345 is divided by 36.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 25354300 to the nearest one million.\nAnswer: 25000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {u: 3, v: 2, h: 5}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -112*g - 5587. Determine t(-50).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 + 0 - 1344\/112 - (2 + -985201) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 10*z**2 - 6*z - 11. Let f(g) = 9*g**2 - 5*g - 10. Let c(q) = -4*b(q) + 5*f(q). Let l(s) = -1. Calculate -c(i) + 5*l(i).\nAnswer: -5*i**2 + i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f**2\/4 + 236483285*f\/2 + 11184868816878245\/4 = 0 for f.\nAnswer: -47296657","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 25 = -7*f + 2*f, -5*f - 2*i + 11 = 0. Calculate the common denominator of (f\/(-8))\/(18\/174) and 143\/12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.4 (b) -2\/7 (c) -1\/16 (d) -2.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10775 + 5406 + 67*x**3 + 5372.\nAnswer: 67*x**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -351 - -467. What is the second derivative of -180*k**3 - 109*k + 219*k - f*k - k**2 wrt k?\nAnswer: -1080*k - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5\/(5\/(-12))*-1. Suppose -j*c = -7*c + 30. Let d be (6\/(-52))\/(c\/(-8)). Is 0 < d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 213000452 to the power of 1\/4, to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 114 + -116 - -1*(-5)\/(-2)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3036 and 20?\nAnswer: 15180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z + 66 - 66 - 5*z)*(13 - 15 - 27 + 2*z).\nAnswer: -12*z**2 + 174*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-2 + -3 + sqrt(1700)).\nAnswer: -60*sqrt(17) + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 42*d - 16. Let g be (1 - 10\/8)*(-136)\/34. Is 6 a factor of o(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eqakqqaqaqqeeqpaqq. What is prob of sequence apke?\nAnswer: 1\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -3*l - 2*f + 10, 40 = 3*l - 2*f. What is the lowest common multiple of l\/3*30\/20 and 3?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2803841, -2803839, -2803837, -2803835, -2803833, -2803831?\nAnswer: -2803829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (34\/6 + 53\/(1908\/(-72)))*9?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9753295922 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20 and 100916*((-34)\/(-44) - (-27)\/3861*-39).\nAnswer: 504580","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence go when two letters picked without replacement from {o: 6, g: 3, j: 6, x: 2, e: 3}.\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-15458)\/(-21) - 62\/651. What is the highest common divisor of f and 598?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 34.1 * -3\nAnswer: -102.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(6\/19)*d\/(d\/(d*d**(-17))) assuming d is positive.\nAnswer: d**(-298\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -91473 plus 1208.7642756?\nAnswer: -90264.2357244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 6082 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18741660 and 18060?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -0.2, 5, -3, 3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 186 + 150. Let h = 605 - t. Let p = h - 268.99999891. Round p to 7 dps.\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -70*g**3 + 40*g**2 + 40*g + 40. Let s(z) = -z**3 + z**2 + z + 1. Determine q(f) - 40*s(f).\nAnswer: -30*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in one twentieth of a microgram?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -339149\/95 + 3570. What is the common denominator of l and 59\/22?\nAnswer: 2090","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -263, -419, -379, -47, 673, 1877, 3661, 6121?\nAnswer: 9353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 32*x - 2. Suppose -5*v + 1 = 3*n, -2*n + n - 5*v - 3 = 0. List the prime factors of y(n).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 9, a: 9}. What is prob of picking 1 t and 1 a?\nAnswer: 9\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 (base 2) in base 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**2. Let b(h) = 2665*h**2. Give p(b(a)).\nAnswer: 7102225*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 - -1 - (2 + -1). Let d = -556 + 560. Let h be (-1)\/(36\/120 - 2\/d). Solve 1 = m - i, -i = -u*m + m - h for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -0*d + 2*d + 2*m, -4*d = -5*m + 1 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0*((78\/39 - (-26)\/(-4)) + 5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 27619027?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -174*j + 220*j = 1702. Calculate the highest common factor of j and 10841.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -47 - -46. Suppose 3*c + 4*y - 23 = 0, c - y - 2 = 1. Let n be c\/(-2) + (-2)\/4. Put 5, i, n in ascending order.\nAnswer: n, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -357, -328, -259, -132, 71, 368, 777, 1316?\n\"Answer: 3*n**3 + 2*n**2 + 2*n - 364","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (7895 - 11280 - 16116)*(h**2 - 2*h**2 + 2*h**2) as g + j*h**2 + t*h and give j.\nAnswer: -19501","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 25744*0.062\nAnswer: 1596.128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-32)\/(-2)*13\/(-52)*2?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 239675.22us?\nAnswer: 0.00000277401875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p - 0*p - 4. Suppose 0*v + 4*v = 8. Let r = 553 + -550. Sort r, v, p in decreasing order.\nAnswer: r, v, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*k**3 - 28*k**3 + 45*k - 45*k.\nAnswer: -4*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 106 divided by 432?\nAnswer: 53\/216","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 195803749?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20*x + 466 + 0*x - 1059 - 101 + 97 to b*x + h and give h.\nAnswer: -597","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m + 9. Let i(p) = -1. Let f(x) = 6*i(x) + 2*z(x). Find the first derivative of f(q) wrt q.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 592, 4\/5, 0.09163?\nAnswer: 0.09163","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -0.06 (b) -132 (c) 0.2 (d) 1\/4 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10896 - 10889. Solve z - 47 = 10*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand h + 0*h + 6*h + (h - 4 + 4)*(2 - 1 + 1).\nAnswer: 9*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.043*3.3.\nAnswer: 0.1419","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 6, g: 7}. What is prob of picking 1 v and 1 g?\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**2 + 3*i - 28. Let t(z) = 4*z**2 + 8*z - 84. Let d(s) = -7*p(s) + 2*t(s). Is d(-12) a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the third derivative of f**4\/24 + 7*f**3\/3 + 3*f**2. Let n be a(-9). Let j(h) = -6*h**2 + 4*h. Let w(p) = -7*p**2 + 5*p. Give n*j(o) - 4*w(o).\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.06152 and -0.69.\nAnswer: -0.62848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -313*v - 11*w = -313*v, -3*w + 36 + 2 = -2*v + v for v.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3 + 6\/3 + -2. Let s = -8 - -13. Let j(r) = 4 + 2*r - s*r**2 + 0 + r**3 + 1 - 2. Calculate j(z).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -7*(-14)\/(-4) + 9\/(-6). Let l = 28 + z. Suppose l*h - 8 = 0, 2*o - 6*o = -3*h. Solve 6 = o*p - 9 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 328 and 58220.\nAnswer: 116440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lll. Give prob of sequence lll.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5762\/10320*-24*5?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**2 + 14*a - 30. Let c be k(11). Let t(z) = 3*z - 8. Let w be t(6). Find the second derivative of -2*i**4 + w*i - i + c*i wrt i.\nAnswer: -24*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a litre in millilitres?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange x - 9*x**4 - 8*x**2 + 3016 + x - 3010 to the form d*x**2 + n*x**4 + t*x + v + q*x**3 and give n.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1*2*(-5)\/5\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49150549 is divided by 2579?\nAnswer: 2546","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 3*b - 5846 = -5863, 4*y - 5*b + 1 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*o - 46*o + 12*o**3.\nAnswer: 12*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -434, -530, -742, -1112, -1682?\n\"Answer: -7*u**3 - 16*u**2 + u - 412","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.295604 litres in millilitres?\nAnswer: 295.604","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 + 19. Suppose -3*l - 25 - s = 0. List the prime factors of -9*(-30)\/l*(-8)\/3.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**3 + 4*x**2 - 7*x - 7. Let b be j(-5). Suppose 4*l - b = 1. Solve 2*p - 3 + l = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t**5\/4 - 48*t**4 - 5497*t**3\/4 - 9951*t**2\/2 - 6019*t - 2370 = 0.\nAnswer: -158, -30, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -37783042, -75566083, -113349124, -151132165, -188915206, -226698247?\n\"Answer: -37783041*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(304) + (sqrt(304) + 1*sqrt(304) - sqrt(304)))**2 + sqrt(304) + -1*sqrt(2299) + sqrt(19).\nAnswer: -6*sqrt(19) + 1216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 159 + 0 - 0\/(-13).\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.6 - -0.6. Let l = -10 + 9. Which is the nearest to -1? (a) l (b) r (c) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -18, -56, 0, 1 in ascending order.\nAnswer: -56, -18, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 2*t - 6*t + 4*t + 9*t**2 - 10*t**2 - 1. Let q(z) = -6*z**3 + 6*z**2 + 6. Give 6*g(n) + q(n).\nAnswer: -6*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 74*g**2. Calculate h(-1).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 653*o - 12 + 12 - 554*o to m + x*o and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (444\/9)\/(4\/6). Suppose 211 + u = 5*s. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = p + 24, 0*p - 2*z + 24 = -2*p. Let s(i) = i + 2. Let u be s(-6). List the prime factors of u\/p + (-23)\/(-2).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 216*b - 39*b = -1770 for b.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, o: 1, k: 1}. What is prob of picking 1 o and 1 s?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 4, -4, -18, -38, -64, -96, -134?\n\"Answer: -3*w**2 + w + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) + (sqrt(10)\/(-1*sqrt(2)))**2 + (sqrt(5) - (sqrt(605)*1)**2))*2.\nAnswer: -1200 + 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.917 + 22.917. Which is the biggest value? (a) -13 (b) -1 (c) -0.5 (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rhhhrhhoo. What is prob of picking 2 h?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 113, 529, 1215, 2171, 3397, 4893?\nAnswer: 6659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 295 + 317 - 1227 + 312 + 4*l + 308.\nAnswer: 4*l + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.251 + 2.911. Let w = -1.89 - n. Let k = w + 0.45. What is k rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000009064 to seven dps.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*d**2 + d**2 + 11*d**2.\nAnswer: 17*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**2 + 10*v - 16. Let c be r(7). Suppose -s + d + 4 = 0, c*s = -2*d - 13 - 2. Let g be (-15)\/66*-8 - 2. Is g equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 - -1825.6861?\nAnswer: 1826.0861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z, 1 t, and 1 o when four letters picked without replacement from {t: 1, z: 7, o: 3, q: 3}.\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 42 and 108?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-16) - 4\/(64\/(-28))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -18224381661470 from 0.2.\nAnswer: 18224381661470.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 3*v - 1554, -38*v - 494 = -39*v + 5*j. Suppose 515*c - v*c = -1. Which is bigger: c or 3\/205?\nAnswer: 3\/205","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 7, a: 3, y: 4}. What is prob of sequence aya?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -48*c - 10. Let z(w) = -48*w - 10. Let g(x) = 4*s(x) - 5*z(x). Let u be g(-7). Let t = -175 - u. List the prime factors of t.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -5 + -4*sqrt(468).\nAnswer: -24*sqrt(13) - 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 20 = 4*a, 4*p - 34 = -27*a + 32*a. What is the fourth biggest value in -1\/5, -109, a, -0.1?\nAnswer: -109","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.3 + -0.3. Suppose -5*i - 2*a + 223 = 0, 0 = 2*i + 2*i + 2*a - 178. Let q = i + -50. What is the nearest to -2 in -0.1, q, j?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.1 - 0.4. Let k = -6.50023 - -0.50023. What is the second smallest value in -10, m, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -6*o**4 - 4*o**2 + 2. Let b(r) = 5*r**4 + 3*r**2 - 3. Let k(f) = 4*b(f) + 3*t(f). Differentiate k(y) with respect to y.\nAnswer: 8*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -220, -479, -740, -1003, -1268, -1535?\nAnswer: -1804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yssxysxxysysysyssys. What is prob of picking 3 x and 1 y?\nAnswer: 7\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 213\/12 + (-2)\/(-8). Suppose -z + 157 - a = 0. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 4*b = -2*l + 355, 4*l = -3*b + 440. Let m = 113 - l. Solve 23 = 3*n - 5*d, m*n + 4*d + 14 = -2*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 446148299119 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -5\/2 (b) 1 (c) 0.5 (d) 8 (e) -124 (f) -0.33\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the third derivative of -z**6\/120 - z**5\/12 - z**4\/8 + z**3\/2 + 57*z**2. Determine q(-5).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 1 - 17 = 4*i, -3*a - 5*i = 17. Suppose 3*d = -0*d + 5*c + 23, 0 = c + 4. Calculate the greatest common factor of a and d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 49257939 and 0.1?\nAnswer: 49257938.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**5*v*v**0)\/(((v**(-1\/3)*v)\/v)\/v**4)*((v**(-1\/5)*v)**(-44))**(2\/29) assuming v is positive.\nAnswer: v**(3439\/435)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d - x + 16, 5*d - 25 = -2*x - 0. Suppose 3*k - 12 = -4*y, -2*y + 6*y = 4*k + 40. What is the least common multiple of y and d?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 10 = -h - 4*a, 16 = 4*a. Let m be ((-1404)\/(-8))\/(-13)*-72. Let k = 975 - m. Solve h*j + 5*o = 2*j - 8, -5*j = -k*o - 27 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6463*r**4 - 2*r**3 - 159652?\nAnswer: -25852*r**3 - 6*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 186*l**2 - 100 - l**3 - 1379*l**2 - 100 + 200 as g*l + w*l**3 + m*l**2 + r and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 10*i**3 + 2*i**2 + 8*i - 4. Let h(f) = 12*f**3 + 2*f**2 + 11*f - 4. Calculate 4*h(b) - 5*z(b).\nAnswer: -2*b**3 - 2*b**2 + 4*b + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - b = n - 13, -3*n = 2*b. Let f be 3 + (b + -1)*1. Factor 3*i**2 - i - 5*i**2 + f*i**2 - 2*i**3 + 6*i**3.\nAnswer: i*(i + 1)*(4*i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((-4)\/(-6))*(-596)\/(-447)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*g = -4*g + 6726. Solve g*w - 116*w + 3*k = -9, 5*w - k - 3 = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 26 = -3*d, 5*d + 54 = -2*x - 2*x. Let g = 21 + d. What are the prime factors of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 4 (b) -4\/11 (c) -0.3 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.0334 - 0.0934. Let a = -33 + 48. What is the second biggest value in a, 2\/9, l?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z. Let t(q) = 39*q**2 - 4*q + 4. Let v(d) = 118*d**2 - 11*d + 11. Let w(p) = 11*t(p) - 4*v(p). Calculate n(w(j)).\nAnswer: -43*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -343444*g - 13*g**2 + 686896*g - 343452*g.\nAnswer: -13*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 18\/5 of a litre?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**10\/b)\/b**(-1)*(b**(-6))**(2\/11) assuming b is positive.\nAnswer: b**(98\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2137 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -2 + 14*t - 15*t + 8*t**2 + 2*t. Is p(1) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5853621?\nAnswer: 3, 29, 61, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -5*i. Let n be 88\/(-9) - 20\/90. Let v(y) = 2*y**2 - 3*y. Let k(s) = -5*s**2 + 5*s. Let p(d) = n*v(d) - 6*k(d). Calculate p(f(j)).\nAnswer: 250*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 783.548 litres to millilitres.\nAnswer: 783548","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 7, l: 4}. Give prob of picking 1 p and 1 l.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 19183.51ml?\nAnswer: 19.18351","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -34 + 49. Let c = x - 13. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 4*p - 8 = -4, -4*c = 3*p. What is the third derivative of -n**4 + 3*n**2 + 17*n**3 - 17*n**c wrt n?\nAnswer: -24*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the second derivative of -m**3\/6 - 3*m. Let i be l(6). Let c(q) = -q + 7. Does 11 divide c(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 133\/12*9\/(-234)*4 and 41\/3.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 158\/(-14) + (-6)\/(-21). Suppose -13*q + 18*q = 10. Let c(n) = -21*n - 10 + 6*n**q - 16 + 10. Let w(m) = m**2 - 4*m - 3. Determine k*w(j) + 2*c(j).\nAnswer: j**2 + 2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1437241876?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 541 + -546.14. Round n to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j = 8*w - 7*w - 9, -10 = -5*w for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 15 - 17 = -4*i, -x + 1 = -i. Let n(v) = 8*v**i + 10*v**3 - 3 - 24*v**3 + 2*v**2 + 7*v**3 - 4*v. Determine n(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r. Let h(f) = -27*f + 11*f - 4*f**2 + 16*f. Give y(h(k)).\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -4985 divided by 6\nAnswer: -4985\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v and 1 j when four letters picked without replacement from {v: 18, j: 2}.\nAnswer: 32\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 49069390?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -194, -200, -216, -248, -302?\n\"Answer: -b**3 + b**2 - 2*b - 192","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 2*j - 94 = 0, 3*j + 505 - 416 - 232 = 2*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -28.156 + 28. Let m = 0.056 + l. Let t = -6 + 1. What is the biggest value in t, m, -1\/2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = -z + 5*r - 21, 3*z - r + 7 = 0. Let h(x) = x**2 - 3*x**2 - x**2. Determine h(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 390*l**2 + 17*l - 11. Let y(z) = 65*z**2 + 3*z - 2. Calculate -6*x(h) + 34*y(h).\nAnswer: -130*h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 3, -13, 2\/7, -0.5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -233 + 396. List the prime factors of f.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 196*q + 135*q - 3204 - 7585 = 13043 for q.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:46 PM and 1:58 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -21*o - 47*o - 60 - 416 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 2 + 8 = 0. Let p be (-37)\/(-13) - z\/13. Solve p*d + 2*h = -8, -5*d - 15 = 3*h + 2*h for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1349320 divided by -337330.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnn when three letters picked without replacement from {h: 5, n: 10, u: 4}.\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide 1106?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 36 - 33. Suppose z*a = -18 + 99. Let m = -29 + a. What is the nearest to 0 in -1\/2, m, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -56207\/11 + 5099. Is -12 bigger than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.1 + -0.1. Let l = 3.6 - -0.4. Let v = -0.05009 + 0.05009. Which is the nearest to v? (a) l (b) -0.3 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 7565.6979s?\nAnswer: 2.10158275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(95) - (sqrt(95) + (-1*sqrt(95)*3 - sqrt(95)))) + -5*sqrt(95)*-3)\/(-4*(-1*sqrt(20) + (sqrt(5) - sqrt(960)\/sqrt(12)))).\nAnswer: 19*sqrt(19)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 28096189?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-2))\/(((-1296)\/768)\/27).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -732 = 18*p - 372 for p.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4229819?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 - -124122343213?\nAnswer: 124122343212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11101 - -11?\nAnswer: -11010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -77 by -2508.\nAnswer: 7\/228","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j = -3*j - 20. Suppose -2*i + 30 = 2*i + 2*f, -45 = -j*i + 5*f. Does 2 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8818731.2 rounded to the nearest 100000?\nAnswer: -8800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4010 is divided by 68.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 28 + -1838?\nAnswer: -1810","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5 + (2\/6)\/(6\/(-90)). Let t(k) be the third derivative of 0*k**3 + 1\/1470*k**7 - 5\/84*k**5 + v*k - 47*k**2 - 13\/168*k**4 - 11\/840*k**6 + 0. Factor t(r).\nAnswer: r*(r - 13)*(r + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 11*z**2 + 4*z + 4. Let l(a) = 5*a**2 + 5*a + 1. Let d(j) = j**2 + j. Let b(q) = -4*d(q) + l(q). Determine 4*b(n) - x(n).\nAnswer: -7*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 122*z + 420 - 2069 - 14211 = 0. Calculate the remainder when 265 is divided by z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - -3) + 2 - 4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 101 (base 3) to base 6\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -12*n**3 + 4*n**2 + 4. Let m(l) = 35*l**3 - 11*l**2 - 11. Calculate 4*m(c) + 11*o(c).\nAnswer: 8*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, -0.035, 11.18, 0.5, -2\/21?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -0.12, -23\/627 in decreasing order.\nAnswer: -23\/627, -0.12, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9703959*a**2 - 26591*a + 941?\nAnswer: 19407918","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 5*s - 774 = -794, 20 = -2*t + 5*s for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40 = 50*g - 45*g - 5*u, -5*g + 6*u = 43 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 16*i**3 + i**2. Let k be v(-1). What is the units digit of 5\/(k\/(-12))*6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**3 - 9*z**2 - 10*z - 7. Let d be u(-8). Let a(f) = f**2 + 3*f + 5. Let g be a(-4). Determine y so that y**2 + g*y - 3*y - y**2 - y**2 - d = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 108296569?\nAnswer: 103, 1051423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 92.23149 litres to millilitres.\nAnswer: 92231.49","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**3 - 23*j**2 + j - 17. Let o be t(23). Let f(l) = -4*l**2 + 11*l. Let y(a) = 2*a**2 - 6*a. Give o*f(p) + 11*y(p).\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73*a - 17462 + 4541 = 0. Let j = 166 + a. Let s(v) = -v**3 - 11*v**2 - 2*v - 14. Determine s(j).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 16487900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 38*p + 1. Let b be o(-1). Let g = 1398 + -1381. Let z = g - b. Is 5 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/11219980 and 29\/12.\nAnswer: 33659940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4788 is divided by 4701?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 + -346)\/((36\/50000)\/(-9)). Round r to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 1 z when three letters picked without replacement from {w: 2, z: 4}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from {v: 4, e: 2, n: 1, a: 4, o: 3}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**2 - 33*g - 178. Determine m(-6).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z. Let t(m) = 3*m. Let p(i) = -2*a(i) - t(i). Let o(q) = 16*q**2 + 2. Determine o(p(b)).\nAnswer: 16*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (-3 + 7) - -10.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.425 + -1.8. Let t = m + 0.375. Let i = -244 + 2200\/9. Which is smaller: t or i?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 15?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*d**2 - 21*d**3 + 1009 - 1009.\nAnswer: -21*d**3 + 3*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -153, -3 in decreasing order.\nAnswer: 5, -3, -153","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 2 + 8. Suppose t*k = -k + 27. Let s(j) = -j**3 + 8*j**2 + 10*j + 6. What is the units digit of s(k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -21701 + 34180. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14465324 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 721*j = 651*j + 354690. List the prime factors of j.\nAnswer: 3, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -4 + 7 - (26 + -20) - -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.1226 + -0.0226. Suppose 8*o = 10*o - 16. Suppose -11*l + o*l = 3. Is l bigger than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 82 - -112. Calculate the remainder when q is divided by 18.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*b - 29*b + 57*b.\nAnswer: -14*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*q - 7 = 188. Suppose 23 = 2*h + q. Is (-4)\/h + 2 + -1 + 4327 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -280 not equal to 3052\/459?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**0)\/(b**(1\/10)\/b)*b\/(b**(-9)*b)*b**(2\/5)\/b assuming b is positive.\nAnswer: b**(103\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -23*c + 4. Let h be q(-3). Suppose 6*p + h = -71. Let z be p*(-4)\/24*3. What is the highest common factor of 6 and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 133866 a multiple of 201?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 746767?\nAnswer: 7, 106681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -164260 or -164263?\nAnswer: -164263","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - -104) + (46 + 92 - 171).\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10101000011101001111 - -10000?\nAnswer: 10101000011101011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/102 - (-190)\/357?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 138573?\nAnswer: 3, 89, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 4*p + 32 = 2*i, 2*i = 3*p + 86. Let y = i + 46. Let j = -44 + y. Does 16 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 25 - 1 = 0. Suppose 3*f = -2 + t. What is the third derivative of 7*r**f - 7*r**2 - r**3 - 2*r**2 wrt r?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -6289229, -6289230, -6289231, -6289232, -6289233, -6289234?\n\"Answer: -j - 6289228","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -940.67, 0.4, 6?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -5*l - 29. Let k(g) = -g - 1. Calculate -6*k(c) + m(c).\nAnswer: c - 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1571761 to the nearest integer?\nAnswer: 1254","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4\/3)\/((-2)\/(-117)). Let b be (6\/9)\/(2\/a). Suppose -3*f + b - 2 = 0. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b - 5*b + 4*b)*(b + b - b).\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2423 (base 5) to base 14.\nAnswer: -1bd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 24 and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -269.2 - -0.005?\nAnswer: -269.195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*c + 624 - 583 = 181*c + 521. Let w(s) = s**2 + 2*s + 4. Let v be w(-3). Put c, -8, v, -1 in decreasing order.\nAnswer: v, -1, c, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -825*q**2 + q. Let m(u) = u**2. Give t(m(k)).\nAnswer: -825*k**4 + k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 2*b**2 + 6*b - 5. Let d be i(2). Suppose 18*n - 13*n = d. Let k(j) = j**3 - 2*j**2 - 5*j + 3. Give k(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 3, k: 3, b: 8, j: 2}. Give prob of picking 2 b and 2 j.\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4266 to the power of 1\/4, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11.4 + -11. Let t = -1.207 - -1.107. Which is the closest to t? (a) 8 (b) o (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*r = -199 - 144 + 83 for r.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -125.8 + 0.1?\nAnswer: -125.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 28*c**3 - 2132*c**2 + 12064*c - 1680 = 0. What is c?\nAnswer: 1\/7, 6, 70","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16 - -29. Calculate the remainder when 38 is divided by w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.021 - -20.979. What is the third biggest value in 57, h, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 - -2200101101002?\nAnswer: 2200101101002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 - 3*(-6 + -2). Let q be (-10)\/j - 4\/(-10). Suppose 4*g - 2*g - 24 = q. What is the smallest common multiple of g and 14?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 5, l: 1, c: 4}. What is prob of sequence ctcc?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 12307973 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 104 = -5*a + 3*s, 34 = -2*a + 5*s. Find the common denominator of 12\/5 and ((-13)\/60*-1)\/(a\/198).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1035 = 6*t - 489. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, 5, -1\/6, -1\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6328\/(-252) + 12 + 14*1.\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = -5*f + 4*f. Let a = f - 22. What is the first derivative of -2 + 15*l**4 - 5 - a*l**4 wrt l?\nAnswer: -4*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9.6, -1, 1\/4, -1844 in decreasing order.\nAnswer: 1\/4, -1, -9.6, -1844","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5069 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*b - 8*b + 6*b**2)*(-5*b - 6*b + 4*b).\nAnswer: -42*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -303*n**3 + 2006*n**3 + 2506*n**3 + 11*n**2 - 12*n**2.\nAnswer: 4209*n**3 - n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-51))\/((-28)\/((-4368)\/26)).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 21 - 12 - 5*o**2 - 9. Let c(k) = -4*k**2. Calculate z(c(n)).\nAnswer: -80*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 34717, 138883, 312493, 555547, 868045, 1249987?\nAnswer: 1701373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k - 5*x = -20, k + 4 = -2*x + 6*x for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5169 a factor of 232377564?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 8 = 2*o. Suppose -o*a = -6*a - 8. Differentiate -6*q + 4*q + 5*q + a*q - 3 with respect to q.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*r - 6*r + 4. Calculate the remainder when 32 is divided by r\/3*3 - -13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -50 divided by 32196?\nAnswer: -25\/16098","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -3*t + 5. Let k(y) = -2*y + 3. Let m be (0 - (-45)\/18)*-2. Let z = 5 - 2. Calculate m*k(r) + z*x(r).\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -19 - -30. Suppose -6*f - 346 = -394. Let z(q) = 5*q**2 - 35*q - 18. What is the remainder when z(f) is divided by a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnnnoononno. What is prob of picking 3 n and 1 o?\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6*5*(-2)\/(-4). Let t be -1 + (36\/f - 2). What is the nearest to 1 in t, 2\/5, 2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (402199*24\/(-1344))\/(-1 + 14\/16) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6252 + -7193. Let w = p - -470671\/35. Let n = w - -6\/7. Do n and 3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.18, 2\/15, 19, 0.17.\nAnswer: -0.18, 2\/15, 0.17, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -182 - -305. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 53264406?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -141 + 144. Which is the second biggest value? (a) u (b) -5 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**2 + 7*t + 2. Let w be b(7). Suppose 10 = w*k - 4*d, -2 = d - 0*d. Suppose 0 = -s - s - 4. Sort 0.5, s, k in decreasing order.\nAnswer: k, 0.5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2a8a83 + 73?\nAnswer: -2a8a10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:47 AM and 12:10 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57 is divided by 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -101033916 from -0.35.\nAnswer: 101033915.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 8174 rounded to the nearest one hundred?\nAnswer: 8200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -91\/165?\nAnswer: -91\/165","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes after 6:34 AM?\nAnswer: 4:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 101913260321 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ao when two letters picked without replacement from {v: 1, q: 6, a: 1, b: 4, o: 4}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1917 + -1118. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 76 - 54. Let t = -12 + c. What is the remainder when 39 is divided by t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*a + 2*a + 2250. Let d be 10164\/16 + (-1)\/4. Let q = d - a. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13.72 + -1.58. Let r = d + 15. Which is the second biggest value? (a) -1 (b) -1\/3 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 3, -143, -59?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q + 6*q + 35, -p + 2*q = -455914. Round p to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -306*n - 56*n + 7240 for n.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*z - 3*b - 12, -4*b + 11 = z - 8*b for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (644 - 4043 + 1271 - 5136 - 1188)*(4*t - 3*t + 0*t + 4*t + t - 4*t - 3*t + 2*t + 3*t + (3 - 3 + t)*(4 - 2 - 1) + 0*t - t + 0*t).\nAnswer: -33808*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nefht. What is prob of sequence fh?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d - 9. Let n be a(13). Suppose -5*u - n*w = 4, -4*w = u - w + 3. Let i = 8 + -17\/2. Which is smaller: i or u?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of -19 + 987 + (-19 - -14) and 642?\nAnswer: 1926","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*a + 3130 + 97 = -166*a + 169 for a.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 5*l - 3. Let c be (13 - 11) + (-2)\/(-14). Let w = -67\/28 + c. What is the closest to 1 in 2\/7, l, w?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*l**3*y**2 + 32*l**3 - 5*l**2*y**2 + 10*y**2 wrt l.\nAnswer: 24*y**2 + 192","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**5*z**3\/z)\/((z*z*z\/z**(-2\/7)*z)\/z)**26*(z*z\/z**1)\/z*z**(2\/13)*(z**3\/z)\/(z**6\/z) assuming z is positive.\nAnswer: z**(-7305\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 217*12\/(-168) - -14?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 49.90373 minutes to nanoseconds.\nAnswer: 2994223800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 473 by -43.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (78*p - 33 + 281*p + 31)*((-3*p - 3*p + 4*p)*(1 - 5 + 3) - 4*p + 4*p - p).\nAnswer: 359*p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a millimeter in micrometers?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a kilometer in centimeters?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -121 + 63 - (-7 - 16)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the second derivative of 1\/6*s**4 - 5\/2*s**2 + 1\/3*s**3 + 0 + s. Let a(i) be the first derivative of c(i). Find the first derivative of a(h) wrt h.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*y - 5*y + 18. Let x be y*((-1)\/(-3) - 1). Solve -x*a + 6 = -6 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (19\/(-3724))\/(16\/(-128))\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 631\/2917090?\nAnswer: 631\/2917090","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, 3, -1955, 366 in decreasing order.\nAnswer: 366, 3, -4, -5, -1955","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**2 - x + 1. Let u be z(2). Suppose 5 = -u*i + 2. Let v = -7 + 9. What is the nearest to i in 4, 5, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -130566 (base 7) to base 6.\nAnswer: -304303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 185101051 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -2*q + 4. Let x be d(0). Suppose -11 + 91 = x*g. List the prime factors of g.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6176 - -271. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*r - 12*r - 3*p + 1461, -2193 = -3*r - 5*p. Let b = r - -288. What is the hundreds digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1414, 5, 0.1, 0.5, 1, 1\/3, 0.3 in ascending order.\nAnswer: 0.1, 0.3, 1\/3, 0.5, 1, 5, 1414","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 14775 to the power of 1\/2, to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 166037 a multiple of 192?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15122 (base 6) to base 13.\nAnswer: 1148","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11337 - -11344.013. Let h = -207.887 - -208. Let r = h - t. Round r to zero dps.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, e: 1, k: 9, s: 3}. What is prob of sequence ve?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes before 7:10 PM?\nAnswer: 3:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 105\/(-15) - (1 + -8). Which is smaller: -2\/2437 or d?\nAnswer: -2\/2437","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-33)\/(-22))\/((-20)\/(-8))\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 866043 times 0.3?\nAnswer: 259812.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 43233000 to the nearest 1000000.\nAnswer: 43000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -86 - -121 - (-61 + 54)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 66 + -60. Suppose 5 = c*w - 19. Suppose q + q - w = 3*x, x = 3*q - 13. Does 5 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 167408947.\nAnswer: 67, 2498641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 458 and 0.1.\nAnswer: 45.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 125, 90, -2, 1 in decreasing order.\nAnswer: 125, 90, 1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 113*r + 46*r + 261 = -57 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 2*d**2 + d**2 - d**2 - 8*d - 8 - 7. Let m be c(7). Suppose -41*u = -39*u - 10. Solve -h = q - 5, -u*q = 2*h - m + 2 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1\/5, -1 in descending order.\nAnswer: 1\/5, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**3\/3 + 126*v**2 - 518*v - 1930\/3.\nAnswer: 2*(v - 5)*(v + 1)*(v + 193)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 1\/5 (b) -2 (c) -0.9 (d) 13 (e) 0.3 (f) -38 (g) 254\/3\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of u**4 + 115*u**3 + 280*u**2 wrt u.\nAnswer: 24*u + 690","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*c**3 - 40*c**3 - 25*c**3 + 8*c**3 - 6*c.\nAnswer: -70*c**3 - 6*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*p**3 + 2*p**3 - p**3)*(-2*p + 4*p - 3*p)*(-4*p - 2*p + 3*p) + 4*p**5 - 5*p**5 + 4*p**5 + (0*p**2 + 0*p**2 + 2*p**5)*(-4 - 1 + 3).\nAnswer: -28*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-14)\/(-119) - 2048\/15674. Which is smaller: 0 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f**3\/3 + 86*f**2\/3 + 547*f\/3 + 460\/3 = 0. What is f?\nAnswer: -5, -1, 92","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 != -2207?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12ffc4 (base 16) to base 15.\nAnswer: 198dd4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 579.4524ml?\nAnswer: 0.5794524","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 19*m**3 + 11*m - 5. Let u(o) = 2*o**2 + 50*o + 14. Let v be u(9). Let w = 628 - v. Let r(t) = -4*t**3 - 2*t + 1. Calculate w*p(h) + 11*r(h).\nAnswer: -6*h**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the third derivative of 0*c**4 - 1\/60*c**6 - 1\/3*c**3 - 1\/30*c**5 + 0 - 48*c**2 + 0*c. What is the first derivative of g(j) wrt j?\nAnswer: -6*j**2 - 4*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11144929 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 33, 132, 297, 528, 825, 1188?\nAnswer: 1617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 37 = -4*u, -3 - 7 = -u + 2*l. Let p(d) = 3*d**2 - 64*d + 16. Let m be p(21). Sort m, u, 4 in ascending order.\nAnswer: m, 4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 168 and 17976.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 26\/9 and (-6)\/27 - 52\/12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4.866 - 202603.3.\nAnswer: -202608.166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2\/3))**(-25)\/((h*h*h*h**(-4))\/(h**(-2)*h*h))*h*h**(4\/3)*h**(-7)*(h**(1\/4)\/h*h)\/(h\/(h**(-7)\/h)) assuming h is positive.\nAnswer: h**(17\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-40)\/(-4)*291\/1455.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.94 + 0.06. Do 0.3 and i have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 - 114?\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38.9 - -4.\nAnswer: -34.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6198, 12243, 18300, 24375, 30474, 36603?\nAnswer: 42768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.2 + -6.8. Let z = -5.72 - 0.28. Let l = z - i. What is the closest to l in -3, 1, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/444 (b) 4 (c) 1.23 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(121) - (sqrt(121) + sqrt(121)*2 - sqrt(121))*-6)*-4)\/((1*sqrt(220))\/sqrt(5)) + -2.\nAnswer: -26*sqrt(11) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 - (-76)\/28*-1. What is the nearest to 1\/2 in 0.2, 0.4, x?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -226, -436, -646, -856?\nAnswer: -1066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 404049, 0.29, -0.07 in ascending order.\nAnswer: -0.07, 0.29, 404049","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**2. Let j(v) be the third derivative of 5*v**2 - 1\/24*v**4 + 0*v**3 + 0 + 0*v. Give j(m(g)).\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j - 13. Let v = -58 + 58. Determine c(v).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 224110*n - 74611*n - 74731*n - 74646*n.\nAnswer: 122*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = x - 5. Let s = 3775\/94 - -16\/47. Calculate the common denominator of x\/(-2) + 29\/6 and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m - 18. Let x be g(15). Let h(o) = -13*o + 6. Let n be h(x). Solve 0 = -49*f + n*f - 20 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w + 5880 - 135. Let g = 57 + w. Let m = -2292 - g. Round m to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 44 (b) -5 (c) 1\/3 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 2*z**2 - 3*z - 7. Give h(4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 198 = 3*r, -5*m - 5*r = 24 - 224. Suppose 44*c = m*c + 20. Let q be c\/18 + (-1738)\/(-198). Solve -k - q = -4*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + z - 11 = 0. Let t(n) = z*n**2 + 1 - 2*n**2 + 8*n - 6*n**2 - 3. Is t(-7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 646\/8 + 3\/(-4). Find the common denominator of (-7)\/3*(-84)\/r and -65\/16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -28\/25 - -246\/175. What is the smallest value in -0.4, t, 2\/5, -0.3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 - -594?\nAnswer: 58f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 8, 25, 66, 143, 268, 453, 710?\n\"Answer: 2*n**3 + 3*n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -632*g**2 + 0*g**3 + 632*g**2 + g**3.\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -925819.705 rounded to the nearest one hundred thousand?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27347 is divided by 33?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -906 - 240 + 112 = 47*k for k.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes before 6:56 PM?\nAnswer: 8:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 103 is divided by 8\/1 + 8 + 19.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**3 + 6*d**2 - 7*d + 2. Let f be q(5). Let h be f\/28*(1 + (-488)\/12). Is 12 at least as big as h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 560280 and 240120.\nAnswer: 1680840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1836 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53255 is divided by 402?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -80*w**2. Let l(b) = 29*b - 38*b + 6 - 6. What is l(o(v))?\nAnswer: 720*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1210, 1214, 1228, 1258, 1310?\nAnswer: 1390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -538531 = -b + d - 176842, 0 = -4*d - 8. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 105.8 - 106. Let h = -0.1 + 0.3. Let m be (2 - (2 + -1))*-1. Which is the nearest to h? (a) m (b) -4 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l = -5*f + 9 - 29, -3*l + f + 10 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-5)*3*(-200)\/60?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrr. Give prob of picking 3 r.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 75, 293, 657, 1167, 1823?\n\"Answer: 73*f**2 - f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5390)\/3542)\/(2\/46)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + 95 + 7 = 0. Let t(u) = 2*u**3 - 22*u**2 - 25*u + 4. Is t(x) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - -10 - (18 + 13)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -5*x - 15. Let y(b) = -2*b - 5. What is 3*a(l) - 8*y(l)?\nAnswer: l - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f - 1. Let r = 4 - 14. Let m(t) be the third derivative of 0 - 1\/4*t**4 + 6*t**2 - 2\/3*t**3 + 0*t. Calculate r*q(z) + 2*m(z).\nAnswer: -2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1483*t + 741*t + 816*t.\nAnswer: 74*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*p**2 + 1631*p - 1631*p - p**2.\nAnswer: -7*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -111\nAnswer: -4\/111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1728513036?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 223067*x**2 + 1 - 221768*x**2 + 1.\nAnswer: 1299*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1650.\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 45 or 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 - 56?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(-8) - (-27)\/(-6). Is (-10)\/j - 1*-1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 + 7. Let z = 545 - 71939\/132. Let t = z + 43\/132. What is the third biggest value in -4, g, t?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*r - 3*r - 2*k + 45149, -4*r + 2*k + 60222 = 0. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 152*a + 2862. Determine j(-19).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66117795 = -5*y - 0*y. Let s = -4423559 + y. What is s rounded to the nearest 1000000?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 9 - -11a?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 + 63?\nAnswer: 5a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v = -3*o - 3, 4*o - 8*v = -7*v - 4 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -523*z - 9. Let y(q) = 3663*q + 66. Give 22*f(l) + 3*y(l).\nAnswer: -517*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -42, -12, 38, 108, 198?\nAnswer: 308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2738941.\nAnswer: 2738941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 453123166 - -260942?\nAnswer: 453384108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 6*k**2 + 2*k. Let r be l(2). Suppose 29*n - 62 = r*n. Does 31 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*w - 7*w + 8 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101 is divided by 44?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -2*r + 27. Let x be c(15). Let p(l) = 2*l**2 + 9*l + 5. Let s be p(x). Suppose 5*k - 5 = -0*k. Does k = s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 67152 (base 11) to base 9.\nAnswer: 157466","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 26309 to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 2 l when four letters picked without replacement from pzzppplzl?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 45882.81mg in nanograms?\nAnswer: 45882810000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 96965 by -4.\nAnswer: -96965\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -473 (base 11) to base 15.\nAnswer: -279","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:47 AM and 1:28 PM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the second derivative of 0 - 5\/6*h**3 - 3*h + 0*h**2. Let n(k) = -2*k**2. Determine n(r(t)).\nAnswer: -50*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-9)\/1*(20\/(-9))\/2. Solve -8*v = -13*v - y*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**3 + 12*y**2 + 10*y - 1. Let t be i(-10). Let l = -497\/5 + t. Which is the closest to l? (a) 1\/10 (b) 0 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 2*z - 2 = 2, i + 3*z = -6 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 2*n + n - 18267, 5*n + 4*c = 30453. What is the tens digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.3, -1, -827\/6, -0.3, -0.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let x = 51\/7 + -211\/28. Let r = 9.3 - 9. Let y = 2 + -1.9. What is the smallest value in r, x, y?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3003 by 33.\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 571654, -5, -4, 4, 2.\nAnswer: -5, -4, 2, 4, 571654","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/4)\/(8\/(-32))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**3 - 6*f**2 + 7*f - 10. Determine i(-7).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add -39 and 1728336746.319.\nAnswer: 1728336707.319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -701.00000035 - -701. Round t to seven dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 80666, 322645, 725950, 1290587, 2016562?\nAnswer: 2903881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*l + 52*l = -180 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3185 and 147?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b**(-34)*b))\/b*b**(-39)*((b\/((((((((b*b**(4\/3))\/b)\/b)\/b)\/b)\/b)\/b)\/b)*b)\/b)**(-31) assuming b is positive.\nAnswer: b**(-545\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 + 7. Suppose 5*s + 4*v + 18 = 0, -2*s = s + 3*v + 9. Let d = s - -8. Sort d, n, 1 in increasing order.\nAnswer: n, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from {q: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 275*s - 537*s - 1564*s in the form f + w*s and give w.\nAnswer: -1826","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18330, -36661, -54992, -73323?\nAnswer: -91654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 120 and 926050.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t + 2 - 5 + 2*t)*(-139 + 7*t + 139).\nAnswer: 14*t**2 - 21*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-5*3*(3*(1 + -4*(1*sqrt(832) - sqrt(832))))**2.\nAnswer: -675","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 87*p*y**2 + 144*p with respect to y.\nAnswer: 174*p*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 341.51 + -400.3. Let j = c + -1.97. Let n = -65 - j. What is n rounded to 1 dp?\nAnswer: -4.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-9)\/(-3) - (-7 - -1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the first derivative of -a**7\/420 + 2*a**6\/135 - 7*a**5\/180 + a**4\/18 - a**3 + 3. Let m(k) be the third derivative of v(k). What is p in m(p) = 0?\nAnswer: 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -25*c - 118. Let o(s) = 13*s + 57. Let r(i) = -13*o(i) - 6*v(i). Let h(d) = -d**2 - 6*d - 6. Let p be h(-6). List the prime factors of r(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 304 = -30*p + 26*p, -3*j = -5*p + 380. What is the tens digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*f**2 + 1 + 8*f**2 - 189*f - 9*f**3 + 187*f as v*f**3 + o*f**2 + j*f + y and give o.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -44, -84, -116, -134, -132, -104, -44?\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 0, 3, -98, 5 in increasing order.\nAnswer: -98, -0.4, 0, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:35 AM and 2:07 PM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2186 + -2185.7. Let s = -1\/2 + -7\/6. Let n = -83.1 - -83. What is the nearest to n in -5\/6, d, s?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19827738 is divided by 213.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 5*h + 85 = -0*b, b + h - 11 = 0. Let j be 1*3*b\/21. Suppose 4*z - j*w = 10, 4*w - 13 = -4*z + z. Solve i = -i - z*p + 19, -4*p = -20 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the second derivative of -d**4\/2 + 19*d. Let f(w) = -3*w**2. What is z(f(i))?\nAnswer: -54*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 175*o + 402*o**2 - 175*o + (2 + 2*o - 2)*(-2*o + 5*o - o).\nAnswer: 406*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3526\/13 + 86405\/312. What is the common denominator of 17\/24 and c?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -39*d + 7. Let n(g) = -g**3 + 9*g**2 - 16*g + 59. Let u be n(8). Let z(r) = 19*r - 3. Give u*z(b) - 2*p(b).\nAnswer: -17*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 748 = l. Let m = -77 + l. Suppose -2*h + 7*h = m. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1, -0.06, 10, -52\/5, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19286 + 19266.0075. Let f = 20 + q. What is f rounded to three dps?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*w - 2*x - 282, -172*w + 366*w = 189*w - 2*x + 298 for w.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -610*o**2 - 170 + 84 + 2*o - 2*o + 88.\nAnswer: -610*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrhrhrr. What is prob of sequence rrrr?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the first derivative of 0*m - 2\/39*m**3 - 2 + 0*m**2. Suppose f(b) = 0. Calculate b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -6 (b) -4 (c) 14 (d) -0.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20706 is divided by 196?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14388 is divided by 38?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 401.4655 decades in centuries?\nAnswer: 40.14655","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 4*z**2 + 30*z - 60. Does 15 divide v(15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -48*l**3 + 47*l**2 + 164*l - 5. What is the remainder when r(-4) is divided by 29?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/352 and -63\/19756496.\nAnswer: 434642912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 2.044077 decades?\nAnswer: 20.44077","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1344 = -1989*k + 1247*k + 5796 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-1\/25)*f)**35)**(-3\/20) assuming f is positive.\nAnswer: f**(-126\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000187029 to 5 decimal places.\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 5 times -25.1788\nAnswer: -125.894","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 11110 (base 2) in base 5?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(110)*5 + sqrt(110) + sqrt(110) + (sqrt(110) + (sqrt(110) - (sqrt(110) - 2*sqrt(110))))*4)\/(sqrt(90)\/((-3*sqrt(108))\/sqrt(12) - sqrt(9))).\nAnswer: -76*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 + 2. Suppose 3*b + 3 = 3*d - z*d, -3*d + 4*b = -2. Find the third derivative of 0*c**6 - d*c**2 + 2*c**6 + c**2 wrt c.\nAnswer: 240*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1909 and 83?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1271*d + 493.\nAnswer: 1271","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -54 by 18.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.1 - -0.1. Let q be 8\/(-36) - (20\/36)\/5. Which is the biggest value? (a) q (b) -2\/19 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a kilogram in grams?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-289*j**3 - 2*j + 283*j**3 + 4*j)*(6*j**2 - 13*j**2 - j**2).\nAnswer: 48*j**5 - 16*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/18 and -107\/110556?\nAnswer: 110556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**2\/5 + 135428*v\/5 - 10551216\/5.\nAnswer: -2*(v - 67636)*(v - 78)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1936007?\nAnswer: 827, 2341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5144896 = 5*k - 4*l - 5144848, -2*k - 4*l = -20 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 + 2*t - 6)*(1 - 2 + 3)*(-4*t + 2*t - 2 + t).\nAnswer: -4*t**2 + 2*t + 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ny when two letters picked without replacement from ynnnnynnootn.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -3*g + 9, -3*g - 2*g + 5*h + 5 = 0. Let b be (-516)\/(-2247) - g\/(-7). Let w = 386\/749 - b. What is the common denominator of w and -89\/15?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1256 by 1256.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 150063.8 minus 5?\nAnswer: 150058.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*r + 20*r = -4070. Let b = r - 260. Is b a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes after 8:43 PM?\nAnswer: 7:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-10)\/3*(-114 + 87). Suppose -42 = -4*m - 14. Suppose k + a = m*k. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 53 - 95 + 44 - 28*z in the form f*z + y and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -35*t**2. Let q(d) = 1 - 1 - 360*d + 358*d. What is q(x(l))?\nAnswer: 70*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes before 8:54 AM?\nAnswer: 7:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the first derivative of 16*i**3 + 22*i**2 - 4*i - 43. Factor n(r).\nAnswer: 4*(r + 1)*(12*r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -26 + 21. Let j be ((-6)\/n)\/(24\/60). Which is the second smallest value? (a) j (b) 0.3 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5827802 and 49243?\nAnswer: 2141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 40 and (5112\/(-8))\/(-1 - (-6 - 138\/(-24))).\nAnswer: 8520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 1999*a + 1452. Is 10 a factor of p(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/5)\/((-5)\/((-100)\/8))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 10060 (base 7) to base 16\nAnswer: 98b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 5836*y**3 - 22*y**2 + 16*y + 85. Let n(c) = -2917*c**3 + 11*c**2 - 8*c - 34. Let o(j) = -5*n(j) - 2*p(j). What is the third derivative of o(b) wrt b?\nAnswer: 17478","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 o when two letters picked without replacement from {y: 2, o: 2, u: 1, m: 1, f: 1}.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l. Let b be p(0). Suppose b = 5*g - 2 - 123. Let k(d) = 9 - g - 2*d + 13. Determine k(3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 366 and 81069?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 31 + 34?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, -78 in descending order.\nAnswer: 2, -1, -78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -251314 rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 32504117 and 1297?\nAnswer: 1297","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2, -0.5, 0.5, -47?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/((-12)\/1)*3. Suppose -3*k - 8 = -k. Sort u, k, 0.4.\nAnswer: k, 0.4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3667111 equal to -3667112?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - (-10 + (40 - -13) - 12).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -2*d - 16. Let b be x(0). Let q(r) = -4*r**3 - 16*r**2 + 16*r - 16. Let a(n) = 5 - n - 4 + 11*n**2 + 0 - 10*n**2. What is b*a(j) - q(j)?\nAnswer: 4*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1038 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(96) - sqrt(96)*2 - sqrt(192)\/(1*sqrt(8)))\/(sqrt(84)\/(6*(sqrt(7) + sqrt(21)\/sqrt(3)))))**2.\nAnswer: -144*sqrt(2) + 2596","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the first derivative of -20*n**2 - 7*n - 9. Let a be d(-8). Suppose -5*l + 171 = 3*m, -l = 5*m - 2*l - a. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4.02 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the third derivative of 313*g**5\/60 - 95*g**4\/8 - 1010*g**2. Find the second derivative of k(j) wrt j.\nAnswer: 626","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 21*s**3 + 3*s**2 - 3*s - 3. Let k(t) = 21*t**3 + 4*t**2 - 4*t - 4. Determine -3*k(l) + 4*w(l).\nAnswer: 21*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 (base 6) in base 14?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(468)*-3*5 + -3.\nAnswer: -90*sqrt(13) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -2*y + 13. Let o(r) = r - 1. Let p(x) = -3*o(x) - z(x). Let s be p(-7). Let i be s*(-246)\/27*-3. Round i to the nearest 10.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3393127894 take away -176.88?\nAnswer: -3393127717.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*o**2 - 17563*o - 2 - 3*o**2 + 0*o**2 + 53503*o.\nAnswer: 2*o**2 + 35940*o - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2775.30565714 - 4.016.\nAnswer: 2771.28965714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19918*z - 40 = 4*o - 19916*z, -6*z = -5*o - 50 for o.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**3 - 5*n**2 + n - 4*n - 6 - 2*n**3. Let i(c) = -c**3 - 16*c**2 + 27*c - 10. Let k be i(-18). Let h = -157 + k. Give y(h).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21371, 26976, 32581, 38186, 43791?\nAnswer: 49396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*r - 47 - 3. Suppose 4*d = -5*o + 511, -r*d + 642 = -0*d + 3*o. What is the remainder when d is divided by 44?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes after 5:52 AM?\nAnswer: 6:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*p - 256773 + 256808 + 5*p as z + c*p and give z.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*r**2 - 31*r - 2*r + 6*r + 2*r**2 to n*r + i + m*r**2 and give n.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p = 2*f - 4, -44*p - 13 = -3*f - 43*p for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 70.8 - -11.2. Let l = -81.63 + j. Let v = l + -0.3396. What is v rounded to two decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.3, 11, -4, -18, 0.3, 3, 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.828 + 30.\nAnswer: 33.828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -11145\/13 or 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 211746.069 microseconds?\nAnswer: 0.0000024507646875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 - -7. Let a be 1\/(-4) + 147\/12. Let f(w) = w**2 - 13*w + 13. Let u be f(a). Solve -z - s = u for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -26*k**3 + 5*k - 13. Let j(h) = -27*h**3 + 4*h - 14. Let m(i) = 3*j(i) - 2*q(i). Find the second derivative of m(p) wrt p.\nAnswer: -174*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/1373 (b) -1 (c) -2 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 6*j**2 + 41*j - 11. Let h be d(-8). Let f be 1 + -3 - (-87)\/h. What is the third biggest value in f, -0.5, 0.1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dddgdigdnnudg. What is prob of sequence nign?\nAnswer: 1\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3514 = -15*i - 1414. Let o(b) = 140 - 6*b**2 - i. Let l(m) = 4*m**2. Give l(o(f)).\nAnswer: 144*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkk when three letters picked without replacement from {k: 13, t: 3}.\nAnswer: 143\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*r - 16864 + 3949. Is r bigger than 20286\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 109.1 rounded to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7333?\nAnswer: 7333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 341 - 720. Let n = 6445\/17 + o. Which is bigger: 0 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**3 + 5*m**2 + 7*m - 5. Let r be k(6). Let y = 4 + r. Suppose -3 = -2*f + y. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the second derivative of 17*x**4\/12 + x**3\/2 + 2*x**2 - 12496*x. Calculate d(-2).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 32 = -24. Suppose -x*j = 0, 0*j = 4*l + 2*j - 11996. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -6301, -8005, -9709, -11413, -13117?\n\"Answer: -1704*m - 4597","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/93 (b) -0.1 (c) -4 (d) 0.1 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -293? (a) 409 (b) 1\/23 (c) 5 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 8 = -2*w, 4*a - 15*w = -13*w + 10. What is the third derivative of 4*q**4 + 41 + q + 4*q**a + 43 - 84 + q**3 wrt q?\nAnswer: 96*q + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in twenty-seven halves of a millennium?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 1. Let x(v) = 2*v + 5. Let i = 3 - -2. Suppose -i = -0*r - 5*r. Let j(w) = r*x(w) - 3*t(w). What is the first derivative of j(d) wrt d?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 137*n + 1664. Calculate d(-12).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -45 - -51. Let b be (i\/21)\/(391\/119). What is the third smallest value in -37, 4, -1\/5, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1000*k = -7404 - 21596 for k.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -5*u + 8 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 37 - 29. Find j such that -t*j - 3*j**3 - 4*j**2 - 5*j**3 + 12*j**3 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - 45*x + 164 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 823782*u**3 - 6559361*u**2 wrt u?\nAnswer: 4942692","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-56*v - v - 31*v)*(4*v**2 + 2*v**2 - 4*v**2) + (-2*v + 4*v + 0*v)*(-4*v**2 - 4*v**2 + 6*v**2).\nAnswer: -180*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 273 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 1017 = 3*k, o - 19*k = -23*k + 251. What are the prime factors of o?\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r - 702 + 574 = 0. Solve 4 = 2*b - 2, 4*i - r = -4*b for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**4 - 12887*r**3 - 25777*r**2 - 12889*r.\nAnswer: r*(r - 12889)*(r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*n + 10*n = -12. What is the lowest common multiple of n and 936?\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -232*c**2*k*x + 2*c**2*k - 7*c**2*x**4 + 2*c**2*x**2 - 42*k*x**4 wrt x.\nAnswer: -168*c**2*x - 1008*k*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -1) + -9 + 6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 146.56 - 190.56. What is the closest to j in -1\/11, -1, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6.3 - -62.3. Let q = i + -51. Which is the closest to 3? (a) -2\/7 (b) q (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 3*q**3 - 431*q**2 + 1210*q - 11614. Give z(141).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 50329 to the power of 1\/2, to the nearest integer?\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 6 - 21 - 15 - 235 + (-3 + 0 + 5)*(-3 + 2 + 0))*(34 + 5*d**2 - 40 - 4*d**2 + 2*d**3).\nAnswer: -538*d**3 - 269*d**2 + 1614","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 250a80 (base 13) to base 5.\nAnswer: 211342220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 24 - 1412?\nAnswer: -1355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of t**5 + 294580*t**4 + 7*t**3 - 5824773*t**2 wrt t?\nAnswer: 60*t**2 + 7069920*t + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(300)\/sqrt(6))\/(-5*sqrt(10)*1).\nAnswer: -2*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 43*i**2. Let k(b) = b**2 - b + 3. Let o(g) = -2*g**2 - g + 3. Let y(t) = k(t) - o(t). Determine y(w(s)).\nAnswer: 5547*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 68980 and 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**2 + 4*w. Let o be f(4). Suppose -m + 5 + 2 = o. Let k = -34 + 46. Calculate the remainder when k is divided by m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/46926 and 2\/891.\nAnswer: 140778","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 12*l**2 - 24*l + 24. Let t(z) = z - 1. Calculate -r(j) - 24*t(j).\nAnswer: -12*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 4, q: 2, j: 1, w: 1, l: 2, c: 4}. Give prob of picking 1 c, 1 w, and 1 u.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1482, -2857, -4220, -5565, -6886, -8177, -9432, -10645?\n\"Answer: r**3 - 1382*r - 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -510527 and -28136.\nAnswer: -538663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1614319759?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15203 + 30337. What are the prime factors of s?\nAnswer: 2, 7, 23, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = y + 2*d + 18, -2*d = 6. Solve -3*n + 5*k + 11 = 0, n = -y*n - k - 13 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (221\/(-1105))\/(2\/(-52))*2*245\/28.\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/((-100)\/6))\/(46\/1610*42)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -2*y**2 - y - 1. Let f(t) = -t + 7. Let p be f(0). Let x(w) = -p*w + 7*w + w + 0*w - w**2 + 1. What is q(c) + x(c)?\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16\/11 - 75\/44. Is i > -14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -10 + (19 - (6 + 6)) - (-9 + 4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-23 - (-63 - -12)) + 19\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*p + 610*p + 3001*p + 80*p.\nAnswer: 3728*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 1) + (-23 - -19 - -18)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, 1\/9, 2, -2\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - -6. Suppose -5*a + 9*a + 12 = 0. Let l(y) = -y**2 + y + 1. Let s be l(3). Sort s, o, a in decreasing order.\nAnswer: o, a, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 317598700?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3273 and -8?\nAnswer: -26184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, v: 9, f: 6, j: 2}. What is prob of picking 1 e and 1 j?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -376*r = -16782129 - 24260903. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -67714.56 rounded to the nearest ten thousand?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -252a299 + -274?\nAnswer: -252a562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1472 - 10284\/7. Let d(f) = -9*f**2 - 7*f - 11. Let r be d(-14). What is the common denominator of 10\/(-35) + r\/(-210) and x?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1850*-11755\nAnswer: 21746750","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 193794260?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2190808 is divided by 4254.\nAnswer: 4252","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 51b (base 15) in base 8?\nAnswer: 2177","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) 1 (c) -9 (d) 406\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58041 is divided by 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 10*i + 17 - 9*i - i**2 - 13*i. Let m be r(-13). Find the third derivative of -m*n**2 - 3*n**2 + 8*n**6 + 14*n**2 wrt n.\nAnswer: 960*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 205\/420 - (-2)\/(-7). Which is smaller: -1 or x?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -556 - -567. Suppose -k = c + 2*u, 18 = -5*c + u + 7. Sort -4, 20, c in ascending order.\nAnswer: -4, c, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.18 + -1.9. Let o = n - -0.08. Let i = -0.31 + 0.31. What is the nearest to o in -5, -2\/15, i?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -43.334 - -43.234. Which is the third biggest value? (a) q (b) 4 (c) 1\/48 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-12)*(2 + -3)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/6)\/(16\/(-72))*(-22)\/(-12)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8878 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.3423 - 1.3923. Sort 0.2, 0.8, t.\nAnswer: t, 0.2, 0.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 0*i - 3*i + 5*i. Let u(a) = 4*a - 2. Let q(p) = 4*p - 3. Let c(h) = 2*q(h) - 3*u(h). Determine c(f(y)).\nAnswer: -8*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 41 - 37. Let r(u) = -u + 8. Let j be r(6). Let d = g - j. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the third derivative of 0 - 1\/3*q**3 + 1\/60*q**6 - 7\/12*q**4 - 2*q + q**2 + 13\/60*q**5. Find the second derivative of k(t) wrt t.\nAnswer: 12*t + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3754*y + 0 + 0 - 1044*y.\nAnswer: 2710*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 6*y**3 + 3*y**2 - 4*y. Let r = 111 + -107. Suppose -q + 17 = r*n, -2*q - 4 = -4*n - 2. Let h(m) = 11*m**3 + 5*m**2 - 7*m. Give q*c(b) - 3*h(b).\nAnswer: -3*b**3 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 3993, 4327, 4883, 5661, 6661, 7883?\n\"Answer: 111*p**2 + p + 3881","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y + 5*v + 11 + 9, -5*y + 27 = -2*v. Suppose 0 - 2 = u, 3*k + y*u - 5 = 0. What is the closest to 2 in k, -2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -3*c**3 - 16*c**2 - 8*c - 13. Let f be z(-5). Solve -7*o + 2*o = u + 7, u = 4*o + f for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 1 = 5. Let z be (-2)\/6*0*s. Suppose -7*h + z*h = -28. Solve 5*w = w - h for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15480)\/585 + (-299)\/138*-12.\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2108 > 4795?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -4415 times 0.2\nAnswer: -883","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 206537.\nAnswer: 241, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*u = -10*u - 14. Suppose -3*w + w - 2 = 0. Let i = w + u. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 132 (base 16) to base 10\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6 - 1925d3?\nAnswer: -1925d9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -27115*k**4 + 15*k**3 + 355*k**2 + 11*k + 2?\nAnswer: -650760*k + 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10508211 + -20?\nAnswer: 10508191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*0.1045\nAnswer: -0.05225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y**3 - y**3 + 10*y**3)*(0 + 0 - y**2) + (4*y**2 - 16*y**2 - 15*y**2)*(2*y**3 - 6*y**3 + 0*y**3).\nAnswer: 101*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ls when two letters picked without replacement from {l: 4, s: 2, n: 6}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 243 is divided by 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12 by 3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.01? (a) 5 (b) 0.4 (c) -58 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4947 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 + -2. Suppose -4*p + 2*n - 6*n - 24 = 0, 2*n + y = 4*p. Let z be (p\/3)\/((-2)\/18). Is 8\/3 at most as big as z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 211, 217, 233, 265, 319, 401?\nAnswer: 517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/3*30\/(-210)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37308.\nAnswer: 2, 3, 3109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 18*c + 3*c**2 - 11*c**2 + 3.\nAnswer: -8*c**2 - 18*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 285052889.\nAnswer: 11, 17, 138577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f + 4. Let c be u(-2). Let l(k) be the third derivative of 0 + 0*k + 1\/120*k**c - 2*k**2 - 1\/3*k**3 + 0*k**5 - 1\/8*k**4. Give l(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1894 - 1756. Let x be ((-9)\/4)\/(12\/(-128)). Suppose -5*o = c - 141, 0 = -o - 2*c + 6*c + x. What is the remainder when p is divided by o?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**2 + 134*h - 390. Let f be a(3). Let x(d) be the first derivative of 22 + 0*d**f + 0*d + 0*d**2 + 3\/10*d**4 - 2\/25*d**5. Solve x(b) = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 51\/178550 and -39\/89275.\nAnswer: 178550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -916 + 915.7. Suppose y - 3*y + 10 = 0. Let f = 0 + y. Put d, 0, f in decreasing order.\nAnswer: f, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 32 - 26. Suppose -5*c + a = 5*k + 46, 3*k - 5*c - 8 = 0. Let s be (-12)\/(-10) - (5 + k). Which is bigger: 0 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 39*0.4\nAnswer: 15.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -41\/22 - 7\/11. Which is the second smallest value? (a) -1\/3 (b) d (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6\/(-4))\/(-7 + 3 + 7). Sort 1, 4\/7, 2\/27, i in descending order.\nAnswer: 1, 4\/7, 2\/27, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 15\/4 of a century?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 6*y - 7. Suppose -5*f + 3*j = -17, -6*f + f - 4*j = -24. What is the remainder when 66 is divided by w(f)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*o + 140*o - 62*o - 253 = 0. Calculate the lowest common multiple of o and 223.\nAnswer: 2453","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t**3 - 241262*t**2 + 965061*t - 723798 = 0. Calculate t.\nAnswer: -241266, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -46*c. Let k(b) = -18*b. What is o(k(t))?\nAnswer: 828*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63553 = m + 2*o, 2*o - 4*o + 127094 = 2*m. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 + -4 - 3253536\/33176?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-3)\/7)\/(1 - 11\/(-22)). Which is smaller: 3 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12128430?\nAnswer: 2, 3, 5, 109, 3709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*a + a**2 + 13*a**2 - 13*a**2 + 2*a.\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 6, d: 2}. What is prob of sequence jjj?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 215 + -179. What is the remainder when 98 is divided by y?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**2 + h - 1. Let y(o) = 2*o - 10. Let t be y(8). Suppose t*f - 2*f = 8. Let u be c(f). Solve -5*g - u*p + 15 = 0, 2*g + p - 1 = -0*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 - 3*x + 7 - x**2)*(x + 2*x - 5*x)*(-5 + 3 + 1)*(-360 - 945 - 162).\nAnswer: 2934*x**3 + 8802*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -128, -258, -388, -518, -648, -778?\nAnswer: -908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2\/23, 8, -3, 0.09 in increasing order.\nAnswer: -3, 2\/23, 0.09, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -4 + -3*3*(-1 + sqrt(425)) + -2)**2.\nAnswer: 90*sqrt(17) + 34426","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 252, 253, 254, 255, 256, 257?\n\"Answer: j + 251","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 10 + 10 + (-4 + 4 - 1)*(-2 - 2 + 2))*(-9*q + q + 5*q)*(q - q - 2*q).\nAnswer: 156*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**2 + 18*z + 268. Suppose -l - l - 38 = -2*r, 4*r = -3*l - 43. Is w(l) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(5\/2) - (-8)\/(-10)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 54997 by 1.\nAnswer: 54997","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-15)\/(-6)*(-6)\/5. Let j(r) be the second derivative of -r**4\/24 - 5*r**3\/6 - r**2 + 4*r. Let l(f) be the first derivative of j(f). What is l(i)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.55 (b) 2 (c) 3\/7 (d) -5 (e) 1 (f) 2\/189 (g) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31904*o - 343*o**3 - 31904*o - 312 + 3*o**2 + 312.\nAnswer: -343*o**3 + 3*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 23*o**2 - 27*o + 50. Let t be y(21). Suppose -17*u = -t + 1772. Is 14 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, 54, -3 in descending order.\nAnswer: 54, 5, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -10 + -6?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1531*i**3 - 3*i**2 + 2*i - 82 wrt i?\nAnswer: 9186","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**2 + 35*d + 152. Let q be y(-5). Let 6 + 114*f + 1083\/2*f**q = 0. What is f?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9185)\/(-330))\/(-167)*294?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-4) - (-11 - -6 - (-35)\/7)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.17, -0.5, 2\/7 in increasing order.\nAnswer: -0.5, -0.17, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-52)\/(-12) - 5\/15. Suppose -i + 2 = 10*w - 15*w, -w - 13 = 4*i. Put 6, i, h, 5 in decreasing order.\nAnswer: 6, 5, h, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u**5 - 485*u**4 + 981*u**3 + 3413*u**2 + 1948*u = 0.\nAnswer: -487, -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -38 + -52. Let o be (-2)\/(-12) + 51*(-5)\/f. Let m be (3 - (-1 + 3))*o - -1. Sort m, -0.2, 11, -1 in descending order.\nAnswer: 11, m, -0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 219107 and 219130 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 4*y + 14, -2*q + q - y - 2 = 0. Solve -1 = q*g + 2 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5160 - 5159. What is the second smallest value in -2, z, -0.14, 43?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1439 - -1443. Sort b, -4, -43, -9, 3.\nAnswer: -43, -9, -4, 3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5.766 - 2558.766. Let b = n - -2552.9993735. What is b rounded to four dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from baubifu.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 331f (base 16) in base 7?\nAnswer: 53104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 v, and 1 u when three letters picked without replacement from {h: 1, u: 1, v: 2, e: 2, i: 1, m: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 79943, 160040, 240137, 320234, 400331, 480428?\nAnswer: 560525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b - 10. Let w(r) = 5. What is -2*m(f) - 5*w(f)?\nAnswer: 2*f - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -35 + 36. Let z be (11 - -51)*l*(-2)\/4. Let w = -26 - z. Solve 3*v + w = -2*c, 8*v + 10 = -5*c + 3*v for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 23 and 3841?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 - -9793a855?\nAnswer: 9793a857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f. Suppose 4*i - 3*p = -6*p + 11, -i - 4*p = -6. Let n(j) = -9 + 9 - 9*j**i + 4*j**2. Calculate b(n(r)).\nAnswer: 5*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 234 is divided by 30?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -2*t**2 - 2*t - 24. Let h be m(0). Put -1, h, -3, 5 in decreasing order.\nAnswer: 5, -1, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -9726 or -207?\nAnswer: -207","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-75)\/(((-40)\/32)\/(15\/36)).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 604613.7s to hours.\nAnswer: 167.94825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12973 + 13175. Solve -p*k = -223*k + 84 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4314 - -4318. Let v(z) be the first derivative of z**3\/3 - 3*z**2 - 2*z - 21. What is v(s)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1963542?\nAnswer: 2, 3, 7, 46751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2241226 (base 7) to base 14.\nAnswer: -7394d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -108*s + 6807. Let d be k(63). Let f(r) = 5*r - 5. Let y(t) = t - 1. Let q(c) = 4*f(c) - 22*y(c). What is q(d)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58869?\nAnswer: 3, 31, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 3*c**2 + 2*c**2 + 5*c**2. Let z(d) = 10*d - 9. Let l(i) = -4*i + 4. Let j(y) = 9*l(y) + 4*z(y). Calculate j(n(m)).\nAnswer: 40*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 182 - 291. Let w = -178.8 + 50.2. Let i = w - n. Round i to the nearest integer.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 2*n**2 - 20*n - 87. Calculate x(13).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.4 and -807.2.\nAnswer: -806.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 17308 to the power of 1\/3, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 108.23 - 108.24305. Which is the fourth smallest value? (a) -3\/2 (b) -3\/5 (c) -5 (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -3 (b) -4 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4542 to the power of 1\/2, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2276 to the power of 1\/2, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 14 = -16. Let p be (2 - 0) + 15\/i. Let l = 1\/8480 + -16969\/76320. Which is bigger: l or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 11852177*h**2 + 15908152?\nAnswer: 23704354*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -339697994, -339697995, -339697996, -339697997, -339697998?\n\"Answer: -j - 339697993","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - (20 - -33)) + 55\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 80\/(-128)*13\/(-65)*248?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 3*v - 8. Let n(u) = 2*u - 7. Let o(g) = -5*n(g) + 4*p(g). Let f be (-2 + -2)\/8*-8. Let y be o(f). Calculate the greatest common divisor of y and 44.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -310881 or -310876?\nAnswer: -310881","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes after 5:44 AM?\nAnswer: 9:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 12\/48*(-2)\/(-5). Let x(o) be the third derivative of 0*o - 10*o**2 + r*o**5 + 1\/2*o**3 + 0*o**4 + 0. Find the first derivative of x(m) wrt m.\nAnswer: 12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -7 - 11*h + 5 + 2. Let f be (2 - 1)\/5 - (-198)\/10. Let p(r) = -2*r**2 + f - 11 - 9. Give p(g(t)).\nAnswer: -242*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**15)\/(a\/(a**(-15)*a))*(a*(a*a\/a**(2\/7)*a)\/a)**(-31) assuming a is positive.\nAnswer: a**(-792\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -145 < -145?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 + -4. Suppose -2*h - 30 + 8 = -y, 4*y = -2*h + 48. What is the smallest common multiple of n and y?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3.53614 smaller than -1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -109 - -92. Put u, -2, -3, 4 in ascending order.\nAnswer: u, -3, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 3 + -2 + sqrt(304).\nAnswer: 1 + 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21582?\nAnswer: 2, 3, 11, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -192, 13, -1.5, 5.4?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 3 = c + 7, 1225*c = 1222*c + n - 8 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*f + 92 = -124. Let j be 9799996 - ((-68)\/119 - f\/(-7)). Round j to the nearest one million.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -105*u**4 - 25*u**3 + 145*u - 25. Let r(b) = -13*b**4 - 3*b**3 + 18*b - 3. Let g(h) = -6*k(h) + 50*r(h). What is the second derivative of g(a) wrt a?\nAnswer: -240*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 150329?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:50 PM and 9:52 PM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**2. Let x(m) = -6*m + 44983. Give x(v(y)).\nAnswer: -6*y**2 + 44983","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert a (base 14) to base 13.\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/10 - (-27264)\/(-22720)?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 + 9. Let o(g) = -9*g**2 + 4*g**2 + r*g**2. Let y(v) = 8*v**2. Calculate o(y(t)).\nAnswer: -64*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-210)\/165)\/((-2)\/(-44)*-2).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-16)\/(-6)*21\/(-14). Let c = -2 + 2. Sort m, 33, c.\nAnswer: m, c, 33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1312330 (base 4) to base 12\nAnswer: -44a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 69*n + 12. Give i(-1).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the second derivative of t**5\/20 + t**4\/4 + t**3\/6 + t**2\/2 - t. Let l(r) = -r. Let n be l(2). Determine x(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes after 1:04 AM?\nAnswer: 12:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11 - -11.25. Let l = 0.29 - y. What is the closest to l in 1\/2, -0.4, -0.5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -11 + 3*v - 4*v + 4. Let c be o(-7). Suppose c = -5*u + 120 + 5. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*b = -2*b + 245. Suppose -13 = -2*h + 13. What is the remainder when h is divided by (-2*b)\/(-5*(-24)\/(-60))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71 - s - 46 + 206 - 41 - 46.\nAnswer: -s + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 954518 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 3 = -5*a. Suppose a*v + 0*v = -4. Let o be ((-36)\/(-30))\/(v\/(-20)). Calculate the greatest common divisor of o and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 2 x, and 1 b when four letters picked without replacement from lzxubruzzxuruxluzuzr.\nAnswer: 3\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -248*c - 995. Let i be b(-4). Let p(w) = -14*w + 26. What is p(i)?\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6163 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1117536*i**3 - 353413 wrt i?\nAnswer: 3352608*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 600\/(-2538) + (4\/18 - 0). Do 0 and h have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2307*n + 30138 + 84171 + 111787 = 6655*n for n.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -888.0641 - -888. Let b = 0.0229 + q. Round b to two dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2736) + sqrt(2736)*-3 - sqrt(19))*-5 + 4 - (-1*(-1 + sqrt(1539) - sqrt(1539))**2 + -2).\nAnswer: 7 + 125*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/9 greater than or equal to -14578?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 2*z**2 + 2. Let d(x) = 11*x**2 - 30*x + 37. Let n(y) = 6*a(y) + d(y). List the prime factors of n(8).\nAnswer: 3, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/17 in -1.3, -3, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the first derivative of a**4\/4 + 13*a**3\/3 - 7*a**2 - 4*a + 209. Determine d(-14).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -14940500 to the nearest 1000000.\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.85 - -0.15. Let p be (-1 + (-90)\/(-126))*7\/3. What is the biggest value in -1\/4, p, n, -5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -166*d = -164*d - 2*g - 12, -10*d - 4*g = 80 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 4*t = 23, -f + 3 = -t + 2*t. Solve 5 + g**2 + 2946*g + f - 2941*g - 6*g**2 = 0 for g.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -173 = 5*g - c, 10 + 15 = -g + 5*c. Let d = -37 - g. Suppose 5*m + 0*z - 4*z = -21, -3*z = -2*m - 14. Do d and m have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 7*t - 2*t - 11, -2 = -t + v. Let q = 53 + -45. Suppose -3*y + 54 = t*u, u = -q*y + 3*y + 38. What are the prime factors of u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 4 + 3)*(-34*z - 29*z + 26*z) + 23*z + 9*z - 12*z to o*z + j and give o.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(2) - (sqrt(2)*2)**2) + -2).\nAnswer: -20 + 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.073, 720, 2\/9, -0.3 in ascending order.\nAnswer: -0.3, 0.073, 2\/9, 720","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.12 (b) 5 (c) -0.4 (d) 2 (e) 11 (f) -18\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m = -4*s + 12, 4*s - 140*m + 152*m - 40 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 29 = -4*h. What is the remainder when 34 is divided by (1 + -4)*h\/(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -2*g + 9. Let p = 2 + 3. Suppose 2*r = 5*s + r - 14, p*r = -20. Let v(o) = -o + 8. Let y(t) = s*m(t) - 3*v(t). Differentiate y(a) wrt a.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 59217 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**2 - 4*c - 2. Let n be o(-2). Let r = 0.1 - 0.1. Let i = -1 + r. Is i less than or equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 16420*a**2 - 32846*a**2 + 5 + 3*a + 16430*a**2 - 2*a**3. Calculate o(4).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 222122212 + -2211212200?\nAnswer: -1212012211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + -4. Sort 2\/9, 4, y.\nAnswer: y, 2\/9, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/140*((-19908)\/(-108))\/(-79)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 222 divide 143443?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.207692 minus -0.209?\nAnswer: 19.416692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 + 31 + 429*c**2 - 430*c**2.\nAnswer: -c**2 + 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 40924757 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -20\/7*o**2 + 1346\/7*o - 2\/7*o**3 + 1364\/7.\nAnswer: -2*(o - 22)*(o + 1)*(o + 31)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*q - 8*q + 17*q to l + f*q and give f.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-1)\/(-3) - (-963)\/27 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 + 406125?\nAnswer: 406120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -113 - -117. Let p = 4 - 2. Find h such that -11*h + 8 + 3*h - 2*h**3 - p*h**l + h**2 + 10*h**3 - 7*h**2 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x*x*x**(-1)\/x))\/x)**(1\/16)*x*x**(-4)*x*x*x*x*x**6*x assuming x is positive.\nAnswer: x**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 - 2)*(-17*p - p - 27*p) - 3*p + 3*p - 2*p + (3 + p - 3)*(1 - 2 - 1) to o + u*p and give u.\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 2*g - 32. Suppose -6*u + 2*u = -68. Let t be q(u). Suppose -6488 = -h - 4*h + 4*d, t*h - 2594 = 2*d. What is h rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3731656 - 40?\nAnswer: -3731716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 not equal to 167?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 2*y - 3. Let i(f) = -2*f + 3. Give 3*i(b) + 4*r(b).\nAnswer: 2*b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**5\/k*k*k**(-3\/5)*(k\/(k\/(k*k**1)*k))\/(k*k**(-1\/3)) assuming k is positive.\nAnswer: k**(71\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3654?\nAnswer: 2, 3, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -4*o + 22, 2*c - 52 = -c + 2*o. What is the lowest common multiple of c and 22?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 64 or 445\/7?\nAnswer: 445\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3496 a factor of 841735416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 - 8. What are the prime factors of m*(136\/(-3))\/4?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (13 - (0 - -6))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -59.4076 + 0.0076. What is i rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -16.4 <= 1439?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-17)\/(-3) - 1\/(-3). Suppose -20461 = -v*n + 6161. Suppose -n = -4*h - 5*h. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -11 + 55?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*q**4 + 20*q**4 - 188*q**2 + 105*q**4 wrt q?\nAnswer: 3168*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10a982 (base 13) in base 7?\nAnswer: 3233166","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 3*s - 40079, -5*s = -4*p - 31792 - 8289. List the prime factors of p\/(-27) - (-124)\/(-1674).\nAnswer: 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 500 - 499.5. Which is the biggest value? (a) v (b) -0.3 (c) 6.2 (d) 2 (e) 22\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-408)\/42 + (-2)\/7. Let k = n + 15. Suppose -d - 4*p + k = 0, 2*p + 20 = 4*d - 2*p. Calculate the remainder when 18 is divided by d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g = -2*y + 45, -178*y = -183*y + 79 + 36 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11*g**2*x**2 + 2*g**2*x - 127*g*x**2 + 4485*x + 1 wrt x.\nAnswer: -22*g**2 - 254*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the first derivative of 2*q**3\/27 - 25*q**2\/9 + 92*q\/9 + 1373. Factor z(r).\nAnswer: 2*(r - 23)*(r - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 2*w + 36. Let k = w - -39. Let r = k - 19. Is 11 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 224 divide 8645280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 65339657701 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1259 + 4079. Is b a multiple of 141?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43117 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 20\/11 and 81\/110?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 4*f - 44 = 0. Let q = 15 + f. Suppose 3*i + q*o = 2*i - 17, -4*o - 29 = -3*i. Calculate the greatest common factor of 1 and i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18*(-49)\/98*(-4)\/(-9).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 6983*m**3 + 8*m**2 - 4*m + 1. Let b be h(7). Suppose -3*u - b = -3*t + 9904451, 0 = 4*u - t + 16399995. Round u to the nearest 1000000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the first derivative of 9*o**2\/2 + 25. Let g(h) = h. Calculate q(g(y)).\nAnswer: 9*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2151 = -182*a - 149 for a.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -15\/8728 and 89\/21820.\nAnswer: 43640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssvw. Give prob of sequence ssvw.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**2 - 2*m - 20. Let c be 3\/((-9)\/(-15))*-1. Suppose p + 3*k = -4*p + 46, -4*k = 3*p - 32. What is the remainder when z(c) is divided by p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d\/d**(-2\/3)*d*(d\/(d**19\/d))\/d*(d*d**(3\/7))\/d**(-8) assuming d is positive.\nAnswer: d**(-103\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 565*q + 18 = 571*q. Suppose 4*d - 8*d = 3*x - 74, -q*x = 5*d - 70. Is x a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-18)\/(-42))\/(2 - 3 - -2). Let b be 4\/(110\/5 + 4). Sort -2\/11, u, b.\nAnswer: -2\/11, b, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 225?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**2 + 3*a. Let s = 18 - 42. Let c be (-3 - 9\/(-6))\/(9\/s). Suppose -c*u = -0*u + 8. Calculate y(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1511889 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 786\/(-33) - (-4)\/(-22). Let r be 20\/(-6)*m\/(-10). What is the units digit of ((-18)\/r)\/((-6)\/(-16))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 5*y + 23 = 11, 3*i + 3*y + 18 = 0. Let h(w) = 2*w**2 + 18*w + 59. Let m be h(i). Solve m*g = 29*g - 4 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -37431 - -37430.7. What is the biggest value in 1\/7, 1.3, l, 9\/4?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*g + g - 3*g)*(-3*g**2 + 2*g**2 + 3*g**2) + (-4*g**2 + 2*g**2 + 11*g**2)*(0 + 0 + 4*g).\nAnswer: 40*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -140.594 - -144.594. Let w = -0.1 - -0.1. Let o = w - -1. Put -0.3, -0.1, o, k in ascending order.\nAnswer: -0.3, -0.1, o, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34258852?\nAnswer: 2, 8564713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 2*y + 10. Let q be z(-8). Calculate the common denominator of q\/39 + 1090\/156 and 2\/(-8)*114\/(-5).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.025 + 0.340276.\nAnswer: 0.315276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + 4*o - 18 = 0, -78*o + 27 = -4*c - 73*o for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -39507 rounded to the nearest ten thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*p**2 + p - 2*p**2 - p**2)*(-55*p + 19*p - 31*p).\nAnswer: -134*p**3 - 67*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 8*m**3 - 60*m**2 + 26*m - 138. Calculate the lowest common multiple of 3 and q(11).\nAnswer: 10608","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5340 and 240.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74*h + 154*h - 82*h.\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -0.1 (b) -4 (c) -0.4 (d) 28450\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2867064833?\nAnswer: 2867064833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -15613 (base 11) to base 12\nAnswer: -10904","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -95*u - 2*r + 707 - 145, -3*u = -20*r + 17*r - 30 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times 0.52?\nAnswer: 0.208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-33)\/(-27) - (1 - 0). Let i(a) = -a - 4. Let c be i(-10). Let x(n) = -n**3 + 7*n**2 - 5*n - 5. Let y be x(c). Which is smaller: o or y?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9045?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.32 - 1.02. Let d = 0.9 + z. Let i be 1\/5*(-9)\/3. What is the second smallest value in d, 0, i?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2291 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 47333025?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 4 (b) 5 (c) -337.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -94241, -94153, -94015, -93833, -93613, -93361?\nAnswer: -93083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -12, 38, 130, 288, 536?\n\"Answer: 4*o**3 - 3*o**2 + 31*o - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 163384 divided by -1?\nAnswer: -163384","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 27402041 to the nearest integer?\nAnswer: 5235","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a**3 + 3*a**3 + 0*a**3)*(-3*a + 1 + 0*a + 2*a)*(-13*a + 83*a - 25*a).\nAnswer: -45*a**5 + 45*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13 - 9. Differentiate -4*b**4 - 3 + b**q + 1 with respect to b.\nAnswer: -12*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 35 + -2. List the prime factors of k.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**2 + 4*c - 3. Let v(m) = -m**2 + 5*m - 4. Let k be ((-3)\/(-3))\/((-1)\/(-3)) - 7. What is k*v(j) + 5*t(j)?\nAnswer: -j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -4*v**3 + v + 1. Let l be d(-1). What is the common denominator of -53\/5 and (-506)\/(-627) + l\/6?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate k**3 - 165*k**2 + 5*k + 74625 with respect to k.\nAnswer: 3*k**2 - 330*k + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 + 209*n - 212*n - 198*n - 341*n.\nAnswer: -542*n - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -119, -121, -123, -125, -127?\nAnswer: -129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 19, 11, 1\/2, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c + 3. Let h be s(0). Let u(b) = b**2 - b - 2. Let l be u(h). Solve l*o**2 - 1 + 2*o**2 - 5*o**2 = 0 for o.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 951*v + 3846 - 12619 - 9632 = 12027 for v.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.295 times 216101?\nAnswer: 63749.795","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3394011*j**4 + 3367802*j**2 wrt j.\nAnswer: 81456264*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18 + 6 - 3) + 8 + (-4 - -15).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, 1.2, -0.1, 106\/231, -3\/11?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 91 divide 4720?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -122 - -212. Suppose 58 = 4*r - 6*r. Let x = r + 38. What is the greatest common divisor of y and x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3 - 4)*(2*a**3 + a**2 - a**2 + (-a**3 + 4 - 4)*(4 + 14 + 13)).\nAnswer: -29*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzza when four letters picked without replacement from zzza.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1106?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 12636 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 lowest common multiple of 214267 and 2812?\nAnswer: 16284292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3 + f**2. Let x(y) = -2*y**3 - 4*y**2. Let h = -12227 - -12225. Give h*p(m) + x(m).\nAnswer: -4*m**3 - 6*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -4*s + 7. Suppose s = 3*p - 31. List the prime factors of p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1305 and 1125.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -7*j - 27. Let c = -1 - j. Suppose -2*h + 5*w - 20 - 1 = 0, w - 5 = 0. Solve 0 = h*z + 4*x - 16, -c*z - 5*x + 16 - 1 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12.2 - -7.2. Let n = -166 + 833\/5. Put -3, n, -1, h in descending order.\nAnswer: n, -1, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/4)\/((-4)\/16). Let u be (-5)\/q*24\/30. Let w(c) = 2*c. Let x(d) = -26*d. Calculate u*x(m) + 28*w(m).\nAnswer: 4*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -50 - -49. Which is bigger: a or 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 163854152?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0006414752983 rounded to 5 dps?\nAnswer: 0.00064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the first derivative of -5*v**3\/3 - v**2\/2 + v - 1. Suppose -q + 2*q - 5 = 0. Let n be (4 - q)*-1*1. Give m(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 264 is divided by 146.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - 2 = -2*a, 5*a + 16 = 2*u - 0*a for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -136*y**3 - 2*y**2 - 6*y - 5. What is the remainder when 187 is divided by q(-1)?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 4, 2.9, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, y: 1, d: 3}. Give prob of sequence yda.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {x: 10, l: 8, w: 1}.\nAnswer: 28\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 86 - 78.2. Let g = d - -3.2. Let c = 11.0031 - g. What is c rounded to three dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 65 - 104. Let r = 17 + y. Let g = r + 20. Which is smaller: -6 or g?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 1)*((6*n**3 - 3*n**3 + 0*n**3)*(2*n + 6*n - 3*n) + 2*n**2 - 2*n**4 - 2*n**2).\nAnswer: 26*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 2*u + 24 = 0, -12*u + 10*u + 20 = -4*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 825 and 870\/522*(-1 + 562)?\nAnswer: 14025","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 5, 9, -4\/2631?\nAnswer: -4\/2631","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(17) - (sqrt(272) + -3)))**2.\nAnswer: 6*sqrt(17) + 154","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -12*(-1)\/2*-1. Let c(m) be the second derivative of m**3\/6 + 4*m**2 + 5*m. Calculate the least common multiple of 4 and c(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 7) in base 9?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**6 - b**5 + b**4 - b. Let w(k) = 10*k**6 + k**5 - k**4 - 10*k**2 + k. Let h(f) = g(f) + w(f). Find the third derivative of h(i) wrt i.\nAnswer: 1080*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3 + (16 - -3)*1. Solve -2*y - i = -18 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.1 and 219.23680309?\nAnswer: 219.33680309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - 6.751.\nAnswer: -9.751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 230.1 + -247. Let t = -17 - k. Let l = t + 2.1. Which is the third biggest value? (a) -0.3 (b) l (c) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9345?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s - 7. Let n = 10 + -3. Let u be i(n). Let a(p) = -1 + p + u*p**3 - 2*p**2 - 4*p + p - p**3. Give a(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 48 + -53. Let n = -5 - h. Suppose 4*m - 7*m + 327 = n. List the prime factors of m.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -4 (b) -24\/5 (c) 0.5 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3406714 is divided by 4329?\nAnswer: 4120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0730006 to two dps.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 25\/6 (b) -22\/7 (c) -4\/269 (d) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**2 - 13*r + 7. What is h(-8)?\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 1 + 2*w**4 + 7*w**2 - 5*w**2 - 3*w**3 as s*w**3 + o*w**2 + f + c*w**4 + l*w and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 101999 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 26*d**3 + d**2 + d - 1. Calculate the common denominator of h(1) and -77\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1269*y + 1141*y - 2308*y.\nAnswer: 102*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -2*f + 4382, 5*f + 56 - 11011 = -u. List the prime factors of f.\nAnswer: 7, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -5*l + 320, l - 34*w + 35*w - 64 = 0. Calculate the remainder when 129 is divided by l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4 - -3) + (-48)\/(-8). Put x, -1\/11, -0.3 in descending order.\nAnswer: x, -1\/11, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/9 (b) -2 (c) 21.8 (d) 1\/8 (e) 1\/3 (f) 533 (g) -3\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 + 12*t**2 + 16*t + 2. Let w be x(13). What is the greatest common divisor of w and 369?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes after 2:59 PM?\nAnswer: 4:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 5*o = 73, -5*l + 713 = o + 820. Let v(y) = -y**2 - 4. Let p be v(0). Sort p, l, 0 in decreasing order.\nAnswer: 0, p, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -103\/3 - -35. Let k = 8 - 5. Suppose 4*j = -c, -4*j + 0*c + 16 = -3*c. What is the third smallest value in j, t, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**4 + 35*i - 13*i - 16*i + i**2 + 0*i**4 - 4*i**2 - 6*i**3.\nAnswer: 3*i*(i - 2)*(i - 1)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*n**2 + 5*n**2 + 0*n**2)*(1 + 0 - 3) + 15*n**2 + 18*n**2 - 10*n**2 + 1 + 2*n**2 + 0*n**2 - n**2 to the form q + p*n**2 + l*n and give p.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 5511, 29103, 93145, 217863, 423483?\n\"Answer: 3371*g**3 - g**2 - 2*g + 2143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 3*u = -2*u + 441, 2*u + 6 = 0. Suppose -4*z + z + x = 0. Does 11 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-51)\/15 + 3)\/(-2)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0079216 to four decimal places.\nAnswer: 0.0079","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 2895*a - 176596. Calculate o(61).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the second derivative of 0*h**5 + 1\/6*h**4 + 0 + 0*h**2 + 0*h**3 + 2\/21*h**7 + 0*h**6 + 3*h. What is the third derivative of a(j) wrt j?\nAnswer: 240*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 25 = 3*k. Suppose 7*c = 2*c + 3*u + k, 2*u = 0. Let x = 62 + -184\/3. Which is smaller: x or c?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 113970 and 75980?\nAnswer: 227940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 4*i = -2, 0 - 5 = -2*y - i. Solve -y*s = 3*c - 4*s + 2, -4*c + s = 11 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = -5*g. Suppose b + 2 = 4*q, 4*b = 8 - g. Let w be (4 + -2)*q\/(-2). Is 7 at most w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1776082 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-236)\/(-2950))\/((-12)\/10)?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/42)\/(((-4)\/(-6))\/(-1))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 316094.4 millilitres to litres.\nAnswer: 316.0944","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -4607, -6777, -8947?\n\"Answer: -2170*j - 2437","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**2 + 7*f + 6. Let o(s) be the third derivative of -s**5\/60 - 5*s**4\/6 + 13*s**3\/3 + 3*s**2 + 16*s. Let y be o(-21). Determine x(y).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4531 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/90 and 1\/2*(-620)\/(-3200)?\nAnswer: 2880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1561062, 3122119, 4683174, 6244227?\nAnswer: 7805278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**2 + 2*c + 7. Let z be s(3). Suppose -19 - 21 = -3*x - 2*r, -5*x + 74 = -z*r. Solve 4*l + x = -k - k, 4*k = 2*l - 18 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -209 + (56 - 126) + 199\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cscc when four letters picked without replacement from {s: 9, c: 5}?\nAnswer: 45\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from dddccc?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 723101?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3159 and 106191?\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 10876 from -0.04.\nAnswer: -10876.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -o**2\/5 + 99738*o\/5 - 199472\/5 = 0?\nAnswer: 2, 99736","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6456446.\nAnswer: 2, 3228223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(6\/5))**(2\/25))**(-1) assuming f is positive.\nAnswer: f**(-12\/125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 52 + 43*x - 14*x + 83*x.\nAnswer: 112*x + 46","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-2))**(-48))**18 assuming g is positive.\nAnswer: g**1728","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*k + l - 5816 + 5824, k + 3*l + 14 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, 0.1, 28?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -188 + 211 - (1 + 22)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1 - 17370*v**2 - 634*v + 17048*v**2 + 11*v - 159*v wrt v?\nAnswer: -644","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 5*n + 11. Let r(l) = l + 3. Let k(s) = 3*s - 49. Let v be k(17). Let u(q) = v*i(q) - 9*r(q). Let o be ((-2)\/5)\/(3\/30). Determine u(o).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t**2\/3 - 153*t - 458\/3 = 0. What is t?\nAnswer: -458, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 14) to base 15\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 13\/589, -1, 0.5, -0.3, -1.23?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 636750 a multiple of 750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 50521, 202125, 454799, 808543, 1263357?\nAnswer: 1819241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2000)\/(-2250))\/(608\/72).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the first derivative of o**3 + 0*o**4 + 0*o**2 - 2\/7*o**7 + 0*o + 1 + 0*o**6 + 0*o**5. Find the third derivative of l(j) wrt j.\nAnswer: -240*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 2*c**2 - 6)*(133*c + 5*c**2 - 133*c).\nAnswer: 10*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 <= -403557.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 2*u = u + 303, -597 = -4*i + 3*u. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:09 PM and 7:14 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.6735 * -0.9\nAnswer: 0.60615","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nmmmepmcxceeex. Give prob of picking 1 p and 1 e.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14 + -14.3. Let j = p + 3.3. Which is the nearest to 2\/7? (a) 0.4 (b) j (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12.3 + 13. Let d(f) = 3*f + 2. Let p be d(-2). Let r be 1\/4*p\/3. Is w greater than or equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 207\/6*(-28)\/6. Let x = -85 - f. Suppose -7*p - x = -9*p. Round p to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-28)\/(-1288)*-23)\/(14\/3024)?\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000002537 rounded to seven decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 40 + -20. Suppose p = 4*p - 57. Calculate the remainder when (-30)\/(-1)*3\/(24\/t) is divided by p.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2808396792?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 39*s**2 + 2. Let m(i) = 2*i**2. Give m(n(x)).\nAnswer: 3042*x**4 + 312*x**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4870)\/70 + 3\/(-7). Let b = f + 725. Does 19 divide (b\/10)\/(3\/6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -6.4, 0.2, -0.4, 3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 4*i + 7. Let w(c) = -11*c - 20. What is -17*b(r) - 6*w(r)?\nAnswer: -2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 + -7310?\nAnswer: -7312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.191 times -0.5\nAnswer: 0.0955","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11977?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the third derivative of d**5\/15 - d**3\/6 + d**2. Let b be v(-1). Let i(l) = 3*l - 1 + 4 - 4*l. Give i(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*i - 16*i - 54*i + 126*i - 31*i - 23*i**3.\nAnswer: -23*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 + 10)*(-1)\/(-2). Let v be ((-4)\/10)\/(3\/75). Let o = -3 - v. Solve o*k - c = 2*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 214*c = 200*c + 28 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 969795 is divided by 58?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 40 and 90?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 33605*v + 14724. Is u(97) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**2 - 23*w - 73. Let m be f(26). Let y = 34 + -24. Suppose 5*s - y = 15. Solve -2*q = -3*j - 6*q - 11, -s = -m*q for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 5*i - 30 = -121, 2*i - 7*i - 7*i - 358 = -4*v + 6*i for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:30 AM and 6:20 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q - 2. Let r be h(7). Let a(x) be the second derivative of 0*x**2 + 0*x**4 - 1\/42*x**7 + 2*x - 1\/6*x**3 + 1\/10*x**r + 0 + 0*x**6. Factor a(j).\nAnswer: -j*(j - 1)**2*(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107538585 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 310*k**2 + k - 31. What is the hundreds digit of z(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 21 - 34. Let v = i - -12.39. Let l = -0.34 + v. Round l to one dp.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-252)\/(-840)*5\/3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 = -24*g + 25*g. What is the remainder when g is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15*(-4)\/(-48)*-4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.07 times 80331?\nAnswer: -85954.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l = 1 - 3, 4*p + 5*l = -1 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes after 5:01 AM?\nAnswer: 4:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-836)\/22)\/((-2)\/4)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 3*w**3\/8 - 3429*w**2\/2 + 463743*w\/8 - 1967223\/4 = 0.\nAnswer: 17, 4538","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -6*r**2 + 4*r**2 + 3 - 3*r**2 + 6*r**3 + 3*r**2 - 2*r. Is b(2) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3643 - 25548\/7. Let g = -2\/3337 - -156845\/10011. Find the common denominator of g and y.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.5, 0.2, -19, 6.5401?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 3*k + 6. Let i(t) = -t. Calculate -h(n) - 2*i(n).\nAnswer: -n - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tpbcbtbbbccbbfcbb. What is prob of sequence tct?\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 11\/(561\/(-68))*86\/40?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 220 and 2750?\nAnswer: 5500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(448) - ((sqrt(448) + 0)*5 + sqrt(448) + sqrt(448)))*6)**2 - ((-1*sqrt(448)*-1)**2 + (0 + sqrt(448) + 0 + sqrt(448))**2).\nAnswer: 2320192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/132 and 101\/110.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the third derivative of d**5\/60 - d**4\/12 + 13*d**3\/6 + 1489*d**2 + 1. What is r(4)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - (-2 + 1 + 3) - (3 + 26)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 15205563149 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 48.1 + -6.6. Let k = p - 41.4. Let r = 0.81 + -0.29. Is k less than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -143\/18 and (-7)\/(-2)*(-5)\/(-7).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -16684 and -0.1172?\nAnswer: 1955.3648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 + 20a5?\nAnswer: 20a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17520656 by -3.\nAnswer: -17520656\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 95178.76 centuries?\nAnswer: 951787.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1100100112222 (base 3) in base 14?\nAnswer: 148aad","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -229 - 223. Let q = f - -452.0995. What is q rounded to two decimal places?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 258.1686 decades in years?\nAnswer: 2581.686","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*t**6 - 65*t**3 + 726*t**2 wrt t?\nAnswer: -240*t**3 - 390","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -150 + 224. List the prime factors of f.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 92\/(-3)*(-11 + 133\/14). What is f rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the second derivative of -b**5\/70 + 2*b**4\/21 - b**3\/7 + 91*b. Factor n(p).\nAnswer: -2*p*(p - 3)*(p - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 28102 - 140509\/5. What is the fourth smallest value in 1, 0.22, d, 0, -0.05?\nAnswer: 0.22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 96273372?\nAnswer: 2, 3, 13, 61, 67, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 47 or 51?\nAnswer: 47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -42061564 (base 7) to base 6\nAnswer: -203545434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 22 + 9)*(27*s**2 - 1178*s + 1178*s).\nAnswer: -108*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 21\/104 and 45\/376.\nAnswer: 4888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101 = -17*p - 28 - 7 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 5*y - 2*y + 18 = 0, 2*y = 2*l - 20. Suppose -5 = -l*b + 7. Suppose 0 = 6*t - b*t - 64. What is the lowest common multiple of t and 4?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 70937.0197 to the nearest one thousand.\nAnswer: 71000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (117730\/(-610))\/(-1 + 0\/2). Which is greater: 198 or l?\nAnswer: 198","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**3 + 6*w**2 - 25. Let s be o(-5). Let q(x) = -x + 5. Let f be q(3). Solve -k + f - 3 = s for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 128*g**3 - 94*g**2 + 2*g.\nAnswer: 768","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -7*c - 1. Let v(b) = -b. What is -j(a) + 4*v(a)?\nAnswer: 3*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 17 - -19304?\nAnswer: 19321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1670*b*u - 3199*b - 23*u + 66729 wrt b?\nAnswer: 1670*u - 3199","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 4629, 9043, 13457?\n\"Answer: 4414*j + 215","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -333*g + 2*g**3 + 3184*g**2 - 1743*g - 3185*g**2.\nAnswer: 2*g**3 - g**2 - 2076*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/4 + 1 - 2. Let g be (16\/40)\/(t*1\/20). Let a(d) = d**3 + 8*d**2 + 8. What is a(g)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 417304.6um in millimeters?\nAnswer: 417.3046","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/(-1*(-2)\/6) + 368 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 5*s = -630. Suppose 0 = z - 6*z + 70. Calculate the highest common divisor of s and z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6379.69 rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/8*9800\/(-875)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 4)*(-z**3 + 5*z**3 - z**3) + 0*z**2 + 0*z**2 - 2*z**3.\nAnswer: -5*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**2 + l - 17. Let r be t(-5). Let o(v) be the second derivative of 1\/6*v**r + 0*v**2 - 2*v + 0. Let c(x) = -x. Give c(o(u)).\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v - 32 = 2*v. Find the common denominator of ((-2)\/(-20))\/((-8)\/135) and (-2190)\/(-308) + v\/(-44).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -18 (b) -2 (c) 0.3 (d) -1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/2 (b) 5 (c) 2\/3 (d) 180 (e) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(468)*-1 + 5*(-2 + sqrt(468) + sqrt(468))**2 - ((-1*sqrt(208) - (sqrt(13) + sqrt(13)*-1 + 5)) + -4)**2.\nAnswer: -318*sqrt(13) + 9092","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4586 (b) -2 (c) 1 (d) -4\/7 (e) 0.034 (f) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 290374?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of ((-2376)\/(-10))\/((-1242)\/(-52785))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -83.17 to the nearest ten.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 221*i + 5*i = -13*i + 478. Solve 10 = 2*n - 6*h + 2*h, -i*h = -2*n + 2 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*z**2 - 5 + 8 - 3.\nAnswer: 10*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0, 4, 59, -2\/125?\nAnswer: -2\/125","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*n + 33463 = -6*k + 33447, k + 9 = -5*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3854*o**2 + 2034*o - 2 wrt o?\nAnswer: 7708","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m - 1. Let d be l(2). Let i = -66.37 - -66. Let s = -0.03 + i. Are d and s equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/275*-9)\/(32*(-82)\/(-6560)).\nAnswer: -9\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-945)\/140 - (26\/8 + -3)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -39831531*n**3*o**2 - n**2*o**2 + 129*n**2*o - 2*n*o + 2655*o**2 wrt n.\nAnswer: -238989186*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-1*-1*sqrt(125)*2*-1)**2.\nAnswer: -2000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by 2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 19, -4, 3, 2, -117 in decreasing order.\nAnswer: 19, 3, 2, -4, -117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -6*k. Let v(i) be the second derivative of 0 + 0*i**2 + 1\/3*i**3 - 2*i. Calculate r(v(n)).\nAnswer: -12*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yb when two letters picked without replacement from {b: 1, y: 7}.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8629 - -48316. List the prime factors of d.\nAnswer: 3, 13229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from xwwwj?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*f**3 - 128*f + 5*f**3 + 128*f - f**3.\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2171?\nAnswer: 13, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*p**3\/7 + 531*p**2 - 7443*p\/7 + 3723\/7 = 0. Calculate p.\nAnswer: -1241, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:58 AM and 2:39 PM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20, -38, -56, -74, -92, -110?\nAnswer: -128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 357, 2, 5, -12, 542, -4, 4 in decreasing order.\nAnswer: 542, 357, 5, 4, 2, -4, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*h**2 + 4*h**2 - 2*h**2 - 2*h**2 + 2 - 2 + (0 + 0 - h)*(-2*h - h + 4*h) + (0*h + h + 0*h)*(2 - 5*h - 2) as g*h + w + f*h**2 and give f.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*d**2 - 2*d**3 + 6*d + 42033 + 42043 - 84081 to the form z*d + q*d**2 + p + s*d**3 and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 348 - 73. Let a = y + -32. Let x(z) = z + a - 23. Let l(k) = 2*k. Give x(l(b)).\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 29 + -32. Let z be 3 + 5\/5*s. Suppose m + m = z. Solve m = 2*f + 3*f + 20 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2908423?\nAnswer: 7, 415489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t*t**(-5\/11)*t)\/t)**47\/(t\/(t*t**7))**(-21) assuming t is positive.\nAnswer: t**(-818\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6536486 to the nearest integer?\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + n + 13 = -4*n, 5*t + n = 143. Suppose -5*g = -92 - t. Find the first derivative of -24*h**3 + g*h**3 - 5 + h**4 wrt h.\nAnswer: 4*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*t - 1098797 - 354867 = 0. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5142 - 24?\nAnswer: 5117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 39 and 217867?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*t - 2*z, -2*t + 0*z + 2*z = 0. Let v = -6 + 4. Let j be (-22)\/(-12) - (v + 4). Which is the third smallest value? (a) t (b) 0.2 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87003802703 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f + 5*c - c + 4, -2*f = 2*c - 16. Solve f*o + x - 15 - 4 = 0, -2*o - 3*x = -17 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.031442204 rounded to two decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 25 - 3. Suppose 19 + 251 = 5*k - 5*o, 5*o - 122 = -2*k. Suppose -3*x - 3*j = -36, -5*x + k + 4 = 3*j. What is the smallest common multiple of c and x?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 + 50. Suppose 4*z = y + 3*z - 30, 2*z = -y + u. Solve -5*x = 10 - y for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -101.340149 rounded to one decimal place?\nAnswer: -101.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 2\/7, 3\/4, 10\/13?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 2*r + 4 = 0, 0 = 2*q + 1937*r - 1939*r + 22 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in one quarter of a millisecond?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 2*o = 6, -2*o = k - 3 - 9. Suppose k*t - 1 - 7 = 0. Solve 0 = -4*u - 4 - t for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -3*j - 6, -6*j + j - 10 = -4*p. Suppose p = 3*s - 70 - 194. Is s a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrroooroorrowrrwrwo. What is prob of picking 3 r?\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/((-18)\/(-4))*(966\/(-92))\/(-1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69 = 27*b - 50*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 15, 2\/5, -5, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-6))\/(1\/3 - 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -8*(3\/2 + -2). Suppose -5*t = 1 + l. Let o = -3 + 3. Which is greater: t or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-8)\/(-6) - (-2)\/(-3). Suppose 112*u - 108*u = -12. Let t be 1 + u + 8 + 64\/(-10). What is the biggest value in x, t, 2\/5, -6\/11?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*c - 315 = 75. Suppose c*w = -4*b + 8*w + 2154, 5*w = 5*b - 2715. What is the hundreds digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 37*s**3 - 2*s + 1. Let p be l(1). Suppose -2 = v - p. Let j = v - 10. What is the remainder when j is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16261 is divided by 8079.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.5 times -0.00187835?\nAnswer: 0.010330925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1498 = -139*n + 32*n for n.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f + 2*f + 4. Suppose 0 = -5*l - 5*y + 153 + 167, 3*l - f*y - 217 = 0. Suppose -5*v + 16 = -l. Is v a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 3*k + 2 = -4, 6*y + 0*k + 5*k = -2 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kyyvlblbyl. Give prob of sequence vll.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -4, 0.4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9079, -18165, -27251, -36337, -45423?\nAnswer: -54509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 147 divided by -21?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-102 - (44 - 127)) + 41 + 1.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 - 162*i**2 + 185*i**2.\nAnswer: 23*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 4*s - 55. Let n be p(13). Let f be (0 - -2)\/(8\/(-156)). Let c be 2 + 1\/n*f. Solve c = -9*m + 4*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -55973 - -451482. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the third derivative of -x**6\/480 - x**5\/60 + 7*x**4\/96 + 5*x**3\/12 + 230*x**2 + 6*x. Factor p(b).\nAnswer: -(b - 2)*(b + 1)*(b + 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 42 + -42.2. Let h(m) = m + 10. Let k(d) = 3*d + 20. Let y(b) = -5*h(b) + 2*k(b). Let p be y(7). What is the biggest value in p, w, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-6)\/(j\/(j\/j**(1\/4)))*(j*j*((j**(2\/3)*j)\/j)\/j*j)\/j**(-2\/5))\/(((j\/j**(1\/9))\/j**(2\/23))\/((j\/j**(-4\/9))\/j**(-5))) assuming j is positive.\nAnswer: j**(10181\/4140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -416 = 63183*h - 63187*h. Solve -6*o + 68 = h for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -154 = -17*c + 307 - 104 for c.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-3\/5))**(-4\/3) assuming v is positive.\nAnswer: v**(4\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (0 + 0 - 1)\/((-12)\/319044*11).\nAnswer: 2417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**3 - 3*c**2 - 2*c - 7. Let f be (-18)\/14 - 16236\/(-2583). What is a(f)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 14122, 26432, 38742, 51052, 63362, 75672?\n\"Answer: 12310*b + 1812","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 42341231 rounded to the nearest one hundred thousand?\nAnswer: 42300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 6 = q - 3, 0 = -2*a - 2*q + 12. Suppose a*l = -2*g + 1340, 3*l - 2303 = -5*g + 1056. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((124\/93)\/2)\/((8\/(-840)*-25)\/3)\nAnswer: 42\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 66 and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.5 + -2.6. Let c = n + 2.84. What is c rounded to 1 dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 572254434?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Do 5276778 and 5276845 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.3 + -0.2. Suppose 2*f + 7 = -0*f + o, -5*o + 9 = 3*f. Let n = -189 + 186. Which is the nearest to -0.1? (a) n (b) f (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, s: 2, q: 8, p: 4}. Give prob of sequence pps.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*l**3\/5 + 652*l**2\/5.\nAnswer: 4*l**2*(l + 163)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve k = 3*u - 11, 0 = -3*k + 2*k - 2 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*s + 22*s - 32*s - 2*s**4 + (3*s - s**3 - 3*s)*(5*s - 3*s - s).\nAnswer: -3*s**4 - 19*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 23 - 3 - (-7 - -4). Suppose -w + 43 = -5*c - b, 0 = 5*w - 5*c - 370. Is 10 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -1\/3 (b) 0 (c) 392\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 146908264.\nAnswer: 2, 2237, 8209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.1808 + 18.4167. Let n = 18.6 - r. Round n to 3 decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ohhhbqlhq. Give prob of picking 1 b and 1 o.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 80 - 84. What is the fourth biggest value in 0, z, 2\/35, 5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 77 - 85. Let u = g + 3. Which is the third smallest value? (a) 0.1 (b) -2 (c) u (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + (sqrt(288) + 0)*6*2)*4)**2.\nAnswer: 18432*sqrt(2) + 663808","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15510 = 547*a - 77*a. What is the greatest common factor of 201 and a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a**3 + 2 - 2)*(0 - 3*a**2 + 0) + (-a**2 + a**2 - 3*a**2)*(-13*a**3 + a**3 - 11*a**3)*(-4 - 1 + 1).\nAnswer: -267*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 448716*y**2 - 448716*y**2 + 551*y**3.\nAnswer: 551*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5504?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1663924219090312 - 3?\nAnswer: -1663924219090315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5.6 + -7.71. Round a to 1 dp.\nAnswer: -2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 5521 = -3*y + 40192, -5*f + 34671 = 3*y. Let t = -6708 + y. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 160.1239 rounded to 1 dp?\nAnswer: 160.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4\/6)\/((-14)\/(-42)). Suppose -2*f + 48 = c*f. Is 11 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16266 divided by -8133.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + f + 7 = 4*t, -4*f = -3*t + 19. Let i be (t - (-1 + 0))\/(-2). Let z = 7 + -11. Is z smaller than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g + 4 - 5 + 1 - 2. Let w be i(7). Sort w, -2, 2 in decreasing order.\nAnswer: w, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 p, 1 m, and 1 v when four letters picked without replacement from {c: 2, m: 6, p: 3, v: 2, o: 5}?\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1*101\/3*-3. Let m = -79 - c. What is the remainder when (-2710)\/(-25) + (-18)\/(-30) is divided by m?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 2 + (0 - 0) - -2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 - 2. Suppose 2*a - t + 77 = d, -3*t - 5 = 2*t. Let j be (a\/52)\/(1*3). What is the nearest to j in 0.1, -3, 4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -119\/60 and 103\/100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/216*15*-12?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 36 = -2. Suppose 2*c + v = 3*c - 4*l, -3*l + 3 = 5*c. Solve -c*h = h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 40050 and 16020.\nAnswer: 80100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1349 + 10026.46?\nAnswer: 8677.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 - (-28 - (-24 - -1)) - (-1 - 2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 + -8. Suppose -12 = -3*n - a*n. Suppose t - 3*v + n = 0, -v + 49 = 4*t - 0*v. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 4 = -a. Suppose 0 = a*w - 165 - 105. Calculate the greatest common factor of 15 and w.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-3) - -2 - 525054\/(-72)*4. Round y to the nearest one hundred.\nAnswer: 29200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -3492, -4231, -5452, -7155?\n\"Answer: -241*c**2 - 16*c - 3235","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/(m**1*m))**(-46))**15)**18 assuming m is positive.\nAnswer: m**12420","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -13221 - -1?\nAnswer: -13220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 19\/14072 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*n = 22*n - 22 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 5*b + 5. Let h be (-10)\/(-2) - (-21)\/(-7). Suppose 0 = -3*t + 3*g - 2*g + 16, 0 = -h*t + 3*g + 20. Is a(t) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**2 + 10*m - 11. Let g be s(8). Let y = g + -3. Suppose -y*c = -69 - 25. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5550465 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a - 1. Let w(j) = 14*j - 13. Let y(z) = 2*q(z) - w(z). Let m be y(7). Let l = m + 138. What is the remainder when l is divided by 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11113 divided by -5.\nAnswer: 11113\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2704038755?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/10)\/((10\/16)\/5).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 2*z**4\/3 - 28*z**3 + 154*z**2\/3 + 80*z = 0.\nAnswer: -1, 0, 3, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.29 + -0.01. Let t = -3.3 - h. Let g be (25\/10 + -2)\/(5\/(-2)). Which is the smallest value? (a) g (b) t (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 61 - 63. Let c(d) = 20*d**2 - 70*d + 15. Let n(w) be the second derivative of w**4\/4 - 5*w**3\/3 + w**2 - w. Let s(t) = f*c(t) + 15*n(t). Factor s(v).\nAnswer: 5*v*(v - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/4*((-4)\/2)\/(-2)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -18*s - 882. Let r be (2 + s\/12)*580\/(-21). Is r > 41?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 6187?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7760 + 8*g - g + 7760 - 6*g - 5*g.\nAnswer: -4*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3534552 or -3534551?\nAnswer: -3534552","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76) + (sqrt(76)*-2*-5 - sqrt(76)))\/(sqrt(100)*5 + sqrt(4) - sqrt(4)) - (2 + -1*sqrt(152)\/((sqrt(72)*1)\/sqrt(9))).\nAnswer: -2 + 7*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13 - 14) + (-7 - -2 - (2 + -6))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1979 + -7915\/4. Which is the nearest to w? (a) -3 (b) 111 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - v = 47, -g - v - 3*v + 22 = 0. Let r be (-22)\/4 + (-3)\/(-6). Calculate the smallest common multiple of -27*(r\/(-15) + -1) and g.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 931368 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 52 = -5*p, -3*p + 2*p = -2*l - 17. Let d(n) = -p*n**2 + 20*n + 8 - 16*n + 10*n**2. What is d(6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -b - 106 - b + 6 - 93 to the form m*b + c and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 - 3113333?\nAnswer: -3113331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04212749449 rounded to six dps?\nAnswer: -0.042127","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -3*z + 83 - 24, -4*l - 3*z + 103 = 0. Let q = l + -15. What is the remainder when 24 is divided by q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15140*r - 26055 = -14561*r for r.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-105040)\/(-312)*3\/(-4)*-2?\nAnswer: 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0005774729 rounded to six dps?\nAnswer: -0.000577","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 20*s - 294. Let o be f(15). Let h(d) = 7*d**3 + 6*d**2 - 6*d + 3. Let w(p) = -p**3 - p**2 + p - 1. Give o*w(c) + h(c).\nAnswer: c**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -10*h**2 + 12*h**2 - 70 + h**2 + 36*h**2 + h**3 - 6*h**2 - 2*h. Determine w(-33).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1503 equal to 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 + -344 + 368 + 18 + -1.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**2 - 8*c - 21. What is the remainder when o(11) is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23713783 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add together -36 and 1361.\nAnswer: 1325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(13) + -1 + sqrt(13) - (-2 + sqrt(52)))**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + 2*t. Suppose t = 6*s - 10*s + 24. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1.3, -2\/15, 19, 15.4, 0.1?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 24902*s**6 + 336*s**3*v + 595*s**2*v - 1401*s**2 + s*v + 25*v + 1 wrt s.\nAnswer: 2988240*s**3 + 2016*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -686*w + 690*w - 3*c = -4, -10 = -3*w - c for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (235*b**4 + 209*b**4 - 491*b**2 + 491*b**2)*(1 + 2 - 4) as a + s*b**2 + g*b**4 + h*b**3 + t*b and give g.\nAnswer: -444","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5\/2 (b) 0.0164 (c) 20.29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.75 rounded to one decimal place?\nAnswer: 4.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence idb when three letters picked without replacement from {d: 2, b: 1, i: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**3 - 12*x**2 + 13*x + 4. Let w be d(-13). Suppose 3*k - 507 = -p, -6*k = -w*k + 3*p - 338. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/(-75)*3200\/(-256))\/(2*(-4)\/752).\nAnswer: -141","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(1\/5)*f*(f**(-6)\/f*f)\/f)\/(f**(-5)\/(f\/f**(-7)))*(f\/(f**(1\/2)*f*f*f)*f\/(f**(1\/12)\/f))\/(f*f**0*f)**(-39\/4) assuming f is positive.\nAnswer: f**(1567\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Do -136545 and -136531 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 86616 and 1008?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-614)\/(-3))\/(-12 + (-16191)\/(-1350)). What is z rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 102 - 54. Suppose -3*w = -b + 3. Suppose 5 - w = -j. Does 10 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -524.0186 - -2890.99\nAnswer: 2366.9714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 136 = -2. Suppose 0 = -47*j + v*j + 238. What are the prime factors of j?\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9452383429 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + 4. Suppose -40 = -4*a - 8. Suppose -a*z + x*z = -20. What is the remainder when z is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6608 is divided by 759.\nAnswer: 536","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 4*y - 6. Let d be b(3). Suppose 0 = -5*a + z + 405, 2*a + 323 = d*a - z. Let c = -84 + a. Is -8\/13 < c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes after 11:18 PM?\nAnswer: 9:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*r**2 + 0*r**2 + 0*r**2 - r**2.\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes after 5:21 AM?\nAnswer: 3:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 307101 * 0.2\nAnswer: 61420.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 189, 176, 127, 24, -151?\nAnswer: -416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1a550841 - 3?\nAnswer: 1a550839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -78 + 77.92. Let b = m - 4.92. What is the smallest value in -7\/3, 0.5, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50.987 years to millennia.\nAnswer: 0.050987","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 17*q + 4. Let d(p) = -p**3 - 5*p**2 - 5*p - 2. Let i be d(-4). Does 18 divide g(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -672 (base 16) in base 7?\nAnswer: -4545","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**2 - 38*l + 64. Calculate n(48).\nAnswer: 544","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 125928297?\nAnswer: 3, 11, 424001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -362 - -11?\nAnswer: -351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -10*o**3\/9 + 27962594*o**2\/9 - 39147616*o\/9 + 3728344\/3 = 0.\nAnswer: 2\/5, 1, 2796258","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/12*3*40\/(-315)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**3 - 19*u**2 + 19*u - 21. Suppose -2*n + 74 - 53 = -5*b, 0 = 3*n - 5*b - 39. Determine z(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6033*o - o**2 + 6033*o - 12 + 46.\nAnswer: -o**2 + 34","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h - 29. Let p be l(-23). Which is bigger: -5 or p?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(-7) - (16 - (-5032)\/(-56)). Which is greater: -22 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7 + 6909.\nAnswer: 6902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1898549*p + 1 - 1 + 0.\nAnswer: -1898549*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1142, 2156, 3170, 4184, 5198?\nAnswer: 6212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 - -12. Suppose 0 = -7*q + 2*q + 15. What is the lowest common multiple of q and u?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -781 + 584 + 144 + -24.\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -82*q + 1833. What is l(26)?\nAnswer: -299","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 32621?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes after 2:03 AM?\nAnswer: 10:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 507.61331 rounded to 1 dp?\nAnswer: 507.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r - 6. Let x be s(8). Suppose x*f + w = -4*w + 27, -f - 2*w = -15. Let z = f + -15. What is the remainder when 10 is divided by z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 25 - (-12 + 4 + -37 + 54).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 13842903.63 rounded to the nearest one thousand?\nAnswer: 13843000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add -2 and -2362549.30538.\nAnswer: -2362551.30538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3252861.8999984 + 3252864. Let x = -2.1 + d. What is x rounded to six dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**5\/q**(3\/5))**(-40) assuming q is positive.\nAnswer: q**(-176)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12878, -12822, -12754, -12668, -12558, -12418, -12242?\nAnswer: -12024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 4*b = 6, -3*f + 15 = f - b. Solve f = 5*i - 2 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1036)\/(-5) - (-8)\/(-40). Suppose 0 = -4*r + p + 113. Suppose 67*h = 71*h - r. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1930204 and 32.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 889925103 is divided by 6544.\nAnswer: 6543","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - 5*q + 3, 0*q + 18 = 2*r + 2*q. Find the first derivative of -2*w**3 + r - 4 - 5*w**3 wrt w.\nAnswer: -21*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 157\/23664 and -55\/476.\nAnswer: 165648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.4 - -0.6. Let n = 0 - s. Let o = n + 0.9. Which is the nearest to o? (a) -5 (b) -1\/2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 take away 899886561430?\nAnswer: -899886561436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:56 AM and 1:59 PM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -41 - -886.072\nAnswer: 845.072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*h**2*k**2 + h**2*n + 2*h*k**2*n - 3*h*k*n - 2*h*n + 291*k**2*n - 37*k*n - 6*n wrt k.\nAnswer: -6*h**2 + 4*h*n + 582*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - 3)*(-2*r + 1 - 1 + (-7*r + 2*r - 10*r)*(2 + 0 - 3)).\nAnswer: -13*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3157696 a multiple of 655?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 152811, 611241, 1375293, 2444967, 3820263?\nAnswer: 5501181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1, 0, -4\/7, 0.35?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 62.571 - 62.6251242. Let u = -0.0541 - y. What is u rounded to five dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2294 to the power of 1\/2, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + -2.1. Let a = -9.9 + o. Let m = 13.00056 + a. What is m rounded to 4 dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 762870816.\nAnswer: 762870817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 42*g**3 - g**2 - 2*g - 1. Let u(x) = 30*x**3 - x**2 - 3*x - 1. Let q(d) = -5*h(d) + 4*u(d). What is q(1)?\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 35020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 127528\/7 - 18189. Let n = -3721\/112 + a. Calculate the common denominator of 74\/3 and n.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 87\/22 and (-330)\/(-88)*12\/14.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-94068)\/536*(-26)\/(-117).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*v**3 + 4*v**2 - 4*v**2 + (-2*v**3 + 2*v**3 - 2*v**3)*((1 + 2 - 1)*(0 + 1 + 0) + 5 + 0 - 6))*(511 + 187*v - 511).\nAnswer: 561*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/(-3))\/(-2)*-237*447\/(-1471375)?\nAnswer: -3\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2\/857 - -851\/2571. Which is the nearest to m? (a) -0.3 (b) 1\/7 (c) -6 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6\/5 in 0.4, 7.1, -4, 0.1829?\nAnswer: 0.1829","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1010000011101111 (base 2) in base 16?\nAnswer: a0ef","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -153 + 152. Are 397 and m equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the third derivative of i**5\/12 + i**4\/6 + i**3\/3 - 2*i**2. Suppose -5*s + 78 = -2*s. What is the remainder when s is divided by j(-2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.7 - -3.6. Let h = 2 - p. Let c = -15387 - -15387. What is the fourth smallest value in -0.1, -2\/3, h, c?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(75) + 1 + -1.\nAnswer: 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 57584333?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(-12))\/(10\/75)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*t**2 + 2*t**2 + t**2)*(-t + 0 + 0) + (-3*t**2 + 5*t**2 + 0*t**2)*(4*t + 5*t - 4*t).\nAnswer: 12*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -5 + ((sqrt(1216) - (sqrt(1216) - 3*sqrt(1216)) - sqrt(1216) - sqrt(1216))*-3 + sqrt(1216) + -2)**2.\nAnswer: 64*sqrt(19) + 4864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 4*p**5\/3 + 118*p**4\/9 + 124*p**3\/9 - 296*p**2\/3 + 16*p = 0?\nAnswer: -6, 0, 1\/6, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 152 - 147. Let f be 2 + (1 - 3)\/2. Sort o, f, 3.\nAnswer: f, 3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -281 - -140. Let v = f - -381. Is v a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 800 = -20*o. Suppose -37*r + 4*z + 246 = -o*r, -3*r + 149 = -z. Calculate the highest common divisor of 45 and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1 (b) 3\/4 (c) 12\/11 (d) 1\/2 (e) 0.3 (f) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -2*t**2. Let v = 63 - 63. Let n(l) be the second derivative of 0 - 1\/6*l**4 + v*l**2 - 5*l + 0*l**3. Give n(c(z)).\nAnswer: -8*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a kilogram in grams?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*u**3 - 7*u**3 - 4*u**3.\nAnswer: -6*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (19*(-1)\/(-171))\/(((-57)\/(-190))\/((-12)\/5))?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*m**4 + 3*m**4 - 2*m**4)*(191 - 108*m - 191)*(0 + 7 - 3).\nAnswer: -2160*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -29*r**3 - 5*r**2 - 20*r - 6. Let m(x) = 29*x**3 + 4*x**2 + 20*x + 5. Let w(j) = -3*a(j) - 4*m(j). Find the second derivative of w(s) wrt s.\nAnswer: -174*s - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (80\/25 - 3) + 120\/25.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(125) + sqrt(5) + (sqrt(320) + 1)**2.\nAnswer: 22*sqrt(5) + 320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 3*k - 4. Let c(t) be the second derivative of t**3\/6 - t**2\/2 - t. Let v be (-7 - -5) + 0 + 8. Suppose 0 = x - 8 + v. What is x*c(d) - s(d)?\nAnswer: -d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 61 and 118279.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -205*v = -203*v + 6 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1865 (b) -2\/17 (c) 2\/5 (d) -33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u and 1 e when four letters picked without replacement from eeeeueeeuu.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 4*q = 1424, -102*w + 1075 = -99*w + 4*q. Calculate the lowest common multiple of w and 693.\nAnswer: 11781","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -2*k**2 + 8*k + 4. Let a be l(6). Let m be 3\/((-7)\/a*(-9)\/(-21)). Suppose m = 2*i - c, 0 = 5*c - 0*c. Solve -j - i = j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9619669 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/10 of a century?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1807*v - 2*v**2 - 7*v**2 - 2*v**3 + 12*v**2.\nAnswer: -2*v**3 + 3*v**2 - 1807*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2703650251?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 2715 = -64900. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + q - 14 = 0. Let b = q - -70. List the prime factors of b.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -69*f**3*h*u**3 - 2*f**3 + 642*f**2*h*u**3 - f**2*h*u**2 + 2*f**2*u**2 + 21635*f**2*u + 5*f*h*u**2 wrt u?\nAnswer: -414*f**3*h + 3852*f**2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(2299)*2 - sqrt(2299) - (1*sqrt(304) - sqrt(304)))*-1 + (4*sqrt(114)*-6)\/(sqrt(66)\/sqrt(396)))**2.\nAnswer: 336091","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -24 + 42. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.00003 - 21085.8645.\nAnswer: -21085.86447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8 and 296?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (5475\/55)\/15*(-198)\/(-72)*4?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the second derivative of g**4\/12 - 8*g**3\/3 + 3*g**2\/2 - 65*g. Let w be f(16). Solve -l - 8 = w*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jla when three letters picked without replacement from {j: 2, a: 10, l: 1, y: 1}?\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -880 times 9183?\nAnswer: -8081040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -20*n**2 - 62*n + 20215 with respect to n.\nAnswer: -40*n - 62","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 + -9. Let n = 2\/19543 + 97527\/1837042. Let c = n + -253\/1222. Is c > w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3)\/(-15) - (-454860)\/75 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 53 - 2cb?\nAnswer: -278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*f + 60*f - 48*f + 11*f.\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -53, -100, -147, -194?\n\"Answer: -47*y - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1900*g + 3226*g + 264507 + 2045 = 0 for g.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*v - 2*o + 4, -4*v + 3*v - o + 2 = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 35 + (100\/4)\/(-5). Suppose 28*n - b*n = -708. What is the hundreds digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21 + 102100120220000?\nAnswer: 102100120220021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1184 - -3142. List the prime factors of o.\nAnswer: 2, 11, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - -39 - (17 + -29 + 28).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 + -7. Suppose 8 = 4*k - 8. Calculate the remainder when k is divided by f.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*f + 27843 = 6216 - 1189. Calculate the greatest common factor of 1271 and f.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 157 = -115. Suppose 4*c**4 - 36*c - 36*c + 12*c**2 + n*c - 12*c**3 = 0. What is c?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**2 + 5*g - 3. Let k be t(3). Suppose 4*u - k*m = 83, 5*u - 2*u - 58 = -2*m. Is u a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -112\/9 + 38\/3. Which is the nearest to h? (a) 0.5 (b) 3\/5 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from kykykkkkkkkkkykykk.\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - 1976994.16375?\nAnswer: -1976995.16375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1230 and 60.\nAnswer: 2460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*s - 2*s + 4*s + 4*s + 18*s**2 + 14507*s**3.\nAnswer: 14507*s**3 + 18*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 473764.\nAnswer: 2, 83, 1427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 5 - (-2123 - -2150)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 4*s**2 + 42*s - 635. Determine a(8).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 3*n**3 - 154*n**2 + 158*n - 97. What is s(50)?\nAnswer: -2197","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153) + (-5*sqrt(153) - sqrt(153)) - -4*sqrt(2057))**2 - (sqrt(17) + (sqrt(17) - sqrt(187)\/sqrt(1584)) - sqrt(68)\/(1*sqrt(4)))**2.\nAnswer: 2056711\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 7*v - 8*v**2 + 2*v + v**3 - 3 + 1. Let l be d(7). Solve l = -3*y - 3 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*n - 44. Let j = 43 - n. Is j a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**2 + 6*b - 3. Let j be z(4). Suppose 27 = 4*l - j*a, -2*l + 4*a + 11 = -1. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -942 - -945. Solve 2*n + 8 = -j, -4*j + p*n + 2 = 1 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4646820 is divided by 1322?\nAnswer: 1312","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 648?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 11835 divided by 3?\nAnswer: 3945","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -4650588\/13 < -357739?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 189*u - 187. Let w be c(1). Let v = 0.47 - 0.09. Let y = -0.08 + v. Which is smaller: w or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g**4\/2 + 378*g**3 + 29877*g**2\/2 + 37503*g - 137760 = 0. What is g?\nAnswer: -32, -5, 2, 287","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 6 = 5*b - 16, -5*o + 2*b - 7 = 15 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 + 7d83d1d?\nAnswer: 7d83d1d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - 4*k = 8, -3*k + 4 = s + 8 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7*336\/98*(-1)\/(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 317 divide 9233259?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and 9373608.\nAnswer: 28120824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dddc. Give prob of picking 1 d and 1 c.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 2*o**2 - 31*o + 8. Let q be i(22). Suppose 2*j + w - q = 0, -4*j - 15*w + 560 = -20*w. What is the remainder when j is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -11*p**3 + p**2 + 2*p - 1. Let j be i(2). Let z = 128 + j. Does 20 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 2 i when three letters picked without replacement from iuuuiuu.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -123*u**2 + 4*u + 3. Determine g(-1).\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 235, -4, -1370 in decreasing order.\nAnswer: 235, -4, -7, -1370","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*y - 24*y = -6. Suppose -p = -h - 233 + 737, 5*h + y*p = 2555. List the prime factors of h.\nAnswer: 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w + 11. Let f be u(-11). Suppose f*m = -m + 5. Suppose m*y + 5 = 0, 0 = -4*c - 4*y + 8*y + 8. Calculate the remainder when 1 is divided by c.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hn when two letters picked without replacement from jnhjn?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**3 - 15*y**2 - 63*y - 57. Let a be x(-28). Let o = a - 110. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13 and 692?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in one tenth of a kilometer?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 61948383?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -31 - -34. Suppose -z*b - 6 = -3. What is the units digit of (b - -4) + (3 - -74)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -9885 or -653?\nAnswer: -653","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.70447 + 33.2.\nAnswer: 33.90447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13*h**4*q**3 - 1443*h**4*q - 122*h*q**3 + 213*h + 2*q wrt h?\nAnswer: 156*h**2*q**3 - 17316*h**2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/13 - 2*p**2 - 14\/13*p**3 - 10\/13*p.\nAnswer: -2*(p + 1)**2*(7*p - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4187927 + -1285695840\/307. Let x = s - 1\/921. What is the common denominator of x and 45\/7?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20046 + 440921\/22. Let g = 2130409623\/208 - 10242375. Let l = g - -276\/13. Find the common denominator of j and l.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1594693 is divided by 1278?\nAnswer: 1027","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 123 is divided by (12\/18)\/((-16)\/(-1512)).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 111*d + 6 - 6 = 0. Let a(s) = 2*s**3 - 5*s**2 + s - 3. Let b be a(4). Suppose d = -4*h - 1 + b. Solve h = 5*v - v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**1)**(-8\/7)*(h\/(h**(1\/3)*h*h))**(-44) assuming h is positive.\nAnswer: h**(1208\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*l + 83*l + 123*l - 4152 = 0 for l.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 83816173 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1299578?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -4423 (base 7) in base 6?\nAnswer: -11201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 212220102101 (base 3) in base 13?\nAnswer: 136213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the third derivative of -m**4\/24 - 14*m**2. Let l(u) = -4*u. What is l(a(p))?\nAnswer: 4*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11719329*f**2 - f + 1853206?\nAnswer: 23438658","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -100001000 (base 2) to base 15\nAnswer: -129","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 2*d - 10. Let k be v(7). Let n(c) = -c**3 + 5*c**2 - 3*c - 2. Let y be n(k). Suppose -16*m - 208 + 128 = 0. Sort m, -4, 3, y in descending order.\nAnswer: 3, y, -4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -114 - -114. Suppose -1052 = b - 0*b + 3*i, z = -4*b + 5*i - 4293. Is (-2 + 4)\/((-2)\/b) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*c**3 + 3852*c**2 + 3844*c**2 - 12 + 2*c - 7697*c**2 in the form d*c**3 + l*c**2 + u*c + a and give d.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07301 rounded to three dps?\nAnswer: 0.073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -31 - -117 - (-56 - -89).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1340955966 and 167982?\nAnswer: 1341123948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -87076, -87038, -87000, -86962, -86924?\nAnswer: -86886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/16*4)\/((-1)\/(-21)*3).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-18)\/y)\/(((y\/(y\/(y**12\/y))*y)\/y)\/y) assuming y is positive.\nAnswer: y**(-28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 3*q - 3. Let m = 10 - 15. Let s(u) = u - 1. Let b(r) = m*s(r) + i(r). Differentiate b(n) with respect to n.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -5*y. Let i(d) = -31677 + 933*d + 31677. Determine v(i(b)).\nAnswer: -4665*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -3*w**2 - 55*w - 21. Let v be f(-18). Which is the second biggest value? (a) -2\/9 (b) 4 (c) 1.3 (d) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1581346 - -3884352. Let q = x + 9096994. What is q rounded to the nearest one million?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 71 + -41. Let i = -239 + -137. Let g be i\/(-5) + 2\/(-10). What is the greatest common factor of g and k?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 9) in base 15?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 - 5.7. Let m = f - -0.7. Which is smaller: 0 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 203 - 122. Let u be (-128)\/(-3) + 2\/(-3). Let r = z - u. Calculate the remainder when r is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (89*p - 2*p + 142*p)*(-3*p + 3*p - 2*p) - 4*p**2 + 4*p**2 - p**2.\nAnswer: -459*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 991, 1968, 2931, 3874, 4791, 5676, 6523?\nAnswer: 7326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1532 + 1536. What is the fourth smallest value in 3, p, -0.2, -0.02?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gd when two letters picked without replacement from dqgd?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 4 + 1)*((2*x**2 - 1 + 1)*(0*x + 2*x - x)*(4 + 1 - 1) - x**3 + 4*x**3 - 6*x**3 + 49*x**3 - 69 + 69) as m + n*x**2 + i*x + q*x**3 and give q.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -174, -601, -1312, -2307, -3586, -5149, -6996?\nAnswer: -9127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k**2 + 4*k**2 + k**2)*(313*k**2 + 29*k**2 + 175*k**2).\nAnswer: 1034*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1870523 to the power of 1\/2, to the nearest integer?\nAnswer: 1368","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*a**2 + 72936030 - 72936030.\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 3*k**2 + 0*k**2 + 5 - 4 - 5 + k**3. Let y be b(-3). Put y, 5, 7 in descending order.\nAnswer: 7, 5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qmx when three letters picked without replacement from xqxmqgggxqx.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gwgggwwggg. What is prob of sequence gwg?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 1\/8, -3, -2, -77?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 8303352?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + 3. Let c(v) = -3*v**k + 1 - 1. Let t(y) = -19*y**2 + 3*y - 21. Let w(g) = -21*g**2 + 4*g - 28. Let x(j) = -4*t(j) + 3*w(j). Determine c(x(h)).\nAnswer: -507*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 86813538?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(-4))**(-8\/5)\/(c**(-7)*c\/(c\/c**(-2\/13))))**38)**18 assuming c is positive.\nAnswer: c**(602604\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13 + k + 66*k**2 - 246*k**2 - 97*k**2 + 22*k**2 - 142*k**2 wrt k?\nAnswer: -794","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2\/3, -0.4, -0.099, 28 in decreasing order.\nAnswer: 28, 2\/3, 0, -0.099, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) -2 (c) -18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 264930.6 - 264931. Suppose 0*r - 4*r - 3*l - 1 = 0, -l = r. Let q be 4\/(-14)*(r + 2). Which is the third biggest value? (a) -5 (b) 2\/7 (c) k (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1509.\nAnswer: 3, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 192360919?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00212847336 to seven decimal places.\nAnswer: 0.0021285","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(304)*5*2.\nAnswer: -120*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -19 + 29. Let x = 10 - b. What is x rounded to 1 dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:47 AM and 9:15 PM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 4*w = 36. Let a(z) = 3 - w - 10*z**2 + 10. Determine a(1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (16 - (-114)\/(-27)) + -12?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-5))\/((-129)\/(-430))*1\/(-11)\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 53431859959 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 23*s**3 + 7*s**2 + 2*s - 15. Let a be i(3). What is the highest common factor of 75 and a?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -17, -0.04, 0, -31?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 74103256?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 180, 3, -26, 0 in increasing order.\nAnswer: -26, 0, 1, 3, 180","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18875 divided by 3775.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2988 = 932*f - 766*f for f.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/71 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**3 + 2*c**2 - 4*c + 7. Let q be s(3). Let v be 78\/455 - 4\/q. Which is smaller: 0 or v?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/3*1\/((-4)\/444). What is the tens digit of u*6\/4 + 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*i**2 + 5*i**2 + 5*i**2)*(-i + i**3 + i).\nAnswer: 6*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*i**3 - 22*i**2 + 8*i**2 + 14*i**2.\nAnswer: 25*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17872?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -111100101000100111 (base 2) to base 5\nAnswer: -30421414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 13064?\nAnswer: 13064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 55750922 and 30?\nAnswer: 836263830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b**4\/7 + 852863736*b**3\/7 + 90922069022984712*b**2\/7 = 0. What is b?\nAnswer: -213215934, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 65, 113, 157, 191, 209, 205, 173, 107?\n\"Answer: -i**3 + 4*i**2 + 43*i + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -3*v - 4. Let m be 0\/((v - 1) + 1). Let g be 2\/(2 - 3\/2). Solve 2*k + m*k + 6 = -p, 0 = -4*p - g*k - 12 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 - -23. Let d = s - 8. Let a = -5 + d. Solve -3*n + 5 = -z, -5*z - 2*n + a = -6 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13.8 - 14.8. Sort -0.2, -2\/5, p, -4 in descending order.\nAnswer: -0.2, -2\/5, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 5*c**3 + 5*c**2 - 54*c - 10. Determine s(-3).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 81305.019ns?\nAnswer: 0.0000000009410303125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*b**2 + 3918*b - 27*b**2 - 3922*b)*((0 - 2*b + 0)*(4 - 4 + 2) + 2 - 2 - b) in the form h*b + c*b**3 + s + y*b**2 and give y.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**(-1))**(-28)\/(p**(-4)\/p*p**11))**(-2\/11) assuming p is positive.\nAnswer: p**(124\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqq when three letters picked without replacement from {q: 4, r: 3}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**3. Let l(y) = -80*y**3 + 6*y**2 - 21*y - 14. Let b(u) = -6*d(u) - l(u). Let i be b(18). Round i to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p - 1. Let f be i(-6). Suppose -4*a + 1 = -4*x + f, -3*a = 5*x - 37. Let w = 9 - a. List the prime factors of w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/(-8) + (-15)\/12.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 27 - -25. Is v a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 302512, 302504, 302486, 302452, 302396, 302312, 302194?\nAnswer: 302036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 1608.6 (b) 0.4 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-5)\/40)\/((-18)\/108*2). Suppose -27\/4 + k*r**2 + 9\/8*r = 0. What is r?\nAnswer: -6, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/7 + 155\/1302\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3\/3)\/(6\/12). Let a = 2 - -3. Let s(g) = g. Let n be s(a). Solve -3 = w*h - n*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19*u - 23*u + 17*u)*(-14*u**2 + 12*u**2 - 14*u**2).\nAnswer: 400*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 5140 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -67282*l**2*p**3 + 2290*l**2*p + 895*l*p**3 - 105503*l*p**2 wrt l.\nAnswer: -134564*p**3 + 4580*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 3 + 3 - (-7 + 31 + 3)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 18 = 81*s - 80*s, -d = 2*s + 26 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 15040 to the power of 1\/2, to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/794532 and 53\/9070.\nAnswer: 3972660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4710*o + 1351*o - 1938*o + 4788*o.\nAnswer: 8911*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1*(57 + -1))\/(13*32\/624). Let j = 3 + -4. Which is the nearest to x? (a) j (b) -0.4 (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 699 (base 10) to base 2.\nAnswer: 1010111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-22413)\/((-4)\/(-16)*3). Let a = f - -45017. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/1114 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 297*u - 297*u + 2*u**3.\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -s**2\/3 - 1191029*s - 7146170\/3 = 0.\nAnswer: -3573085, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -360, -1707, -4030, -7389, -11844, -17455, -24282, -32385?\nAnswer: -41824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 + (1 - -1) + -10 + -5.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 2*k - 38 = 7*k, -5*k = 20. Is 3 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 - -1)*0\/1. Let l = -326 - -310. Let v = -14 - l. Solve -v*d + d + 3 = a for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s - 4. Let y be l(-4). Let n be 0\/(y + -2 + 0). List the prime factors of 2 - -7 - n\/(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*l**3 - 14*l**3 - 11*l**3 + 42*l**3 - 7*l**3.\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - -23. Suppose -3*v = -2*q + 17, 4*q + 9 = -4*v + 73. Let p = q + t. Calculate the greatest common factor of p and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the first derivative of -3\/4*v**4 - 1029*v - 43 - 21*v**3 - 441\/2*v**2. Factor n(t).\nAnswer: -3*(t + 7)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14580 and 420.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -928 + 2546. Does 63 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 82 and -2 - (2 - (7 + 1))?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1362*b*d*y**5 + 43*b*d*y - 4*b - 595*d*y**2 - 26*d*y + 14*y wrt y?\nAnswer: -27240*b*d*y**3 - 1190*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05 - -206911763?\nAnswer: 206911762.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.4 + -3.6. Let a = 59808 + -59808.5. What is the fourth biggest value in 14, a, l, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26193 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*c = 2*c - 10 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 382314927 a multiple of 472?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + 5*c = 10, 0 = -4*a - 45*c + 50*c - 10 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4896227?\nAnswer: 7, 99923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n - 16. Let z be y(11). Let o be ((-12)\/(-9))\/(z\/(-15)). Suppose 1 = -3*t - 8, -3*t + 23 = o*c. What is the least common multiple of c and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**2 + 7*c - 6. Let p be h(7). Let f be 3\/(-9) - (-10)\/p - -3. What are the prime factors of (-7)\/21 - (f + 885\/(-9))?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/6*6\/(-8)*4436 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 168 = -5*z, -w - 3*z - 16 = -75. Let i = -45 + w. Solve -n = -i*t, -n + 4*n + 2*t = 8 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-7)\/(-2) - 3\/2. Suppose c*z = -4*y + 2*y + 20, -3*y = -4*z + 5. Find the third derivative of 3*w**y + 6*w**5 - 14*w**2 + 5*w**2 wrt w.\nAnswer: 540*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hz when two letters picked without replacement from zllhzzzmzzm?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-18)\/21)\/((-1)\/14). Suppose -18 = -3*t - 0*z + 2*z, 0 = -4*z + f. What are 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 fourth root of 2699 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -14? (a) -5 (b) -8431 (c) -1 (d) -0.5 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes before 6:47 PM?\nAnswer: 8:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9907 - 9897 = -2*y + 5*g, 0 = -2*y - g + 14 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 - -1. Let k = -2.8 - 1.7. Let h = t - k. What is the biggest value in -0.02, h, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3354537 (base 10) to base 16.\nAnswer: 332fa9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 3*j + 12955 = 0, -2*j + 2589 = x - 3*j. List the prime factors of x\/8 - 3\/12.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2349 by 9.\nAnswer: -261","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes before 8:43 PM?\nAnswer: 5:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - 4*u - 21, 2*p = -2*u - 27 - 3. Let w = p - -26. Suppose -2*g + 0*s + 8 = 3*s, 3*g - w = -4*s. List the prime factors of g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 399 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.16 take away -16651740235575?\nAnswer: 16651740235574.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**3 - 28*c**2 - 96*c + 3. Give r(-24).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the second derivative of -11*h**3\/6 - h**2 - 3*h. What is l(2)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 29 = -223. What is the third derivative of -48*x**2 + 56*x**2 - 65*x**2 - v*x**3 wrt x?\nAnswer: -756","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*r + 9*r + r.\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5\/6? (a) 2\/5 (b) -1\/3 (c) -1.4 (d) -11 (e) -58\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is j in j**5 + 3*j**5 + 46*j**3 - 25*j**3 - 25*j**3 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 275572992?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and 102808.23.\nAnswer: 30842.469","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d = w - 3 - 9, -3*d + w = 9 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -2384*p**2. Let z(l) = 8*l. What is j(z(c))?\nAnswer: -152576*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -109 = 4*y - 329. Suppose 3*d - y = 2. List the prime factors of d.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38834424 a multiple of 1467?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the second derivative of -l**8\/6720 + l**7\/360 - l**6\/120 + l**5\/24 + l**4 + 2*l + 31. Let t(m) be the third derivative of k(m). What is t(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1014 by 13.\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 67675312?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -624.2 - -394.7. Round p to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 4.290961 weeks?\nAnswer: 2595173212800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 5*v**2 + 27*v - 7. Give c(-5).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(484) + sqrt(4))\/(-4*sqrt(6)\/sqrt(3) + sqrt(2)) - (sqrt(24)\/(sqrt(12) - (sqrt(12) - sqrt(24)\/sqrt(2))) + sqrt(2) + -1*sqrt(200) + -3).\nAnswer: 3 + 34*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28005733?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -4*n**3 - 18*n**2 + 18*n + 34. Determine y(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1044 - 569. Is l a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 2 t when three letters picked without replacement from {h: 5, t: 7}.\nAnswer: 21\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**3 + 18*m**2 - 41*m - 7. Let i be b(-20). Suppose i*k + 14 = -k. Put -3, k, -4 in decreasing order.\nAnswer: k, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**2 + o - 1. Let w(c) = -c**2 - 5*c + 60. Calculate 3*g(x) + w(x).\nAnswer: 2*x**2 - 2*x + 57","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 111652 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 92 - 11 + 20*x - 918 + 374 in the form u*x + l and give u.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45882?\nAnswer: 2, 3, 2549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(1\/3))**(14\/9)*(p\/p**0)**(1\/4)*((p**(-2\/7)*p)\/p)**3\/(p\/(p*p**(2\/11))*(p**(-9)\/p)\/p) assuming p is positive.\nAnswer: p**(92251\/8316)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 431749 = 6*x + 431797 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Do 3783 and 3783 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 6*q + 20. Let r be f(-3). Which is smaller: r or 13?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a - 2a30?\nAnswer: -2a23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -3147, -5700, -7675, -9078, -9915?\n\"Answer: -p**3 + 295*p**2 - 3431*p - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 59 - 63. Let z = 15.77 + -10.77. Which is the nearest to 0.1? (a) x (b) 0.3 (c) z (d) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aex when three letters picked without replacement from eagxx?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/(-2) + (-1)\/2. Suppose -16*f + 10 = -21*f. Is f at least as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -461 + -790.\nAnswer: -1251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hssuuuhdhus. What is prob of picking 1 s, 1 u, and 2 h?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -8\/5252983 at most as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*k = 11*k - 90. What is the smallest common multiple of 14 and (-8)\/36 - (220\/k - 0)?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 142 a factor of 191370?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 398266 is divided by 234.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 3*j**3 - 9*j**2 - 27*j + 81 = 0.\nAnswer: -3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rry when three letters picked without replacement from rrrryyyyryyyyy?\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/2835*15*-3.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/177966 and -103\/100550790?\nAnswer: 100550790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 148348713 - -4?\nAnswer: 148348717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 377*-57\nAnswer: -21489","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**2 + 8. Let r be i(-10). Let k = r + -1406\/13. Sort 1\/3, -3, k.\nAnswer: -3, k, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 2733 + 394 = 5*f, -2*f = -5*v + 922. Let d = f - -471. Is 17\/36 <= d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*k - 4*k**2 - 16 + 18*k**3 + 5 + 0*k**2 + 4 + 8 to v*k + d*k**3 + a*k**2 + x and give d.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14016 and 20294.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 2 = 8. Suppose -3*j + 19 = 5*g + j, -5*g + c*j + 10 = 0. Factor 109\/4*l**g - 63\/2*l**4 + l + 0 - 9*l**2 + 49\/4*l**5.\nAnswer: l*(l - 1)**2*(7*l - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-nine halves of a litre?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4000*p**2 + 7990*p**2 - 3991*p**2 + 844*p to x*p + d*p**2 + v and give x.\nAnswer: 844","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -118 + 112. Let u be (-1)\/p*-188 - 3. Let v = u + 34. Which is smaller: v or -2\/63?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/4*((-64)\/(-12) + -6)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.06, 99, 29, 0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 540a - -1?\nAnswer: 540b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (112\/(-21) - -5)\/(4\/3)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 10*a = 11*a + 296, -4*r - 596 = 4*a. Let v = r - -387. Is 24 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -8*a**3 - 18*a - 20. Give z(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -178 + 41. Are l and -137 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2273956.2 months in millennia?\nAnswer: 189.49635","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -323513 rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 2*y**2 + 3*y - 3. Let f(b) = -3*b**2 - 6*b + 5. Let l(z) = 3*f(z) + 5*q(z). Give l(5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77887500 a multiple of 150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * 29\nAnswer: 14.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.89245 + 0.10755. What is the closest to 0 in i, 0.004, 22?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -46*m + 70*m + 49*m**2 - 24*m + 137*m**2 in the form j*m + h*m**2 + y and give h.\nAnswer: 186","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 519563967 - 519563913.9999934. Let r = -53 + j. What is r rounded to six decimal places?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1064*b**5 + 36*b + 9?\nAnswer: -21280*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.9 and 46.\nAnswer: 41.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 3*w - 59. Let x be v(16). What is the units digit of (x\/((-462)\/(-12)))\/(1\/(-91))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 7050\/175*(-1 - 6). Is -7*(-6 + x\/6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Does 180 divide 217509388?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -16\/35 and -81\/50210.\nAnswer: 351470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 3*l**2 - l - 4. List the prime factors of g(3).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.4, 4\/7, 2, -29, 1\/4, -0.0302?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*p + 3*p + 5*n = -14, -4*p + 4*n + 24 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.35 and -40.26 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 56 + 120?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the third derivative of -g**5\/150 - 157*g**4\/30 - 24649*g**3\/15 + 649*g**2. Solve f(i) = 0 for i.\nAnswer: -157","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, q: 1, l: 2, j: 1}. Give prob of sequence jqw.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -4*u + 7744, 12*s = u + 9*s - 1953. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -3*s - 2. Let r(f) = -f**3 + 11*f**2 + 28*f - 24. Let h be r(13). Let o(d) = 3 - 63 - d + 4*d + 63. Give h*o(k) + 3*z(k).\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 356 + -224. Does 66 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 79\/924 + -4\/33. Let i = r + -1\/4. Which is smaller: 7\/6 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 25 = 7. Let u = 3 + -2. Calculate the least common multiple of u and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14217 divided by -4?\nAnswer: -14217\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-1 + (sqrt(475) - (1*sqrt(475) + 3)) + 2*(sqrt(209)\/(sqrt(11) - (sqrt(11) - sqrt(11)*-2)) - sqrt(19))))**2.\nAnswer: 216*sqrt(19) + 1683","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3220212 (base 4) to base 15.\nAnswer: 4626","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**2 - 13349 + 13349. Let x(i) = -3*i**2 - i + 2. Give h(l) - x(l).\nAnswer: 2*l**2 + l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 264249336 and 520?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 56\/(-12)*9\/(-6). Let d(q) = 4*q**2 + 2*q + 1. Is d(n) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**2 - 7*b - 8. Let p be z(8). Suppose -8 = -2*u - 4*m, -4*u - 4*m + 5 + 7 = p. Find the first derivative of 4 + 0*a**u - 3 + 3*a**2 wrt a.\nAnswer: 6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d + 20. Let f(i) = 7*i**2 - i. Let q be f(1). Let s be k(q). What is the derivative of 7 - t**4 + s - 6 - 2*t**4 wrt t?\nAnswer: -12*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -7) + (124 - 124)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*m + 12*m + 704 = -98*m for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -257 at most as big as -903?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -8*d + 19. Suppose -4*v - 36 = -32. Let c(g) = -g + 1. Give v*l(i) + 6*c(i).\nAnswer: 2*i - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 95\/103 in 0.3, -0.7, 2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 3\/28 of a week?\nAnswer: 18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 18 = p, -5*p + 0*p + 5 = -n. Find the first derivative of 3*t**p - 6*t + 6*t + 1 wrt t.\nAnswer: 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0011270333591 to 6 dps.\nAnswer: -0.001127","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13 - 61) + (-4)\/(-16)*0*(-6)\/(-30).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.34 take away 136311?\nAnswer: -136310.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 6515132336?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8858 + -7991. Does 14 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 27*j - 13*j - 2*j**4 - 4*j**4 wrt j.\nAnswer: -72*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -10*l**3 - 23*l**2 + 5*l + 60. What is the hundreds digit of i(-11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/3 - 0 - 15342\/(-18) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 127917718 and 142?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3\/1)\/((-6)\/172). Let p = -40 - f. What is the remainder when p is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -2*h. Let d(f) = 365*f + 21. Give d(y(m)).\nAnswer: -730*m + 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 179752?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 95 - -161. What is the highest common divisor of v and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from smssm. Give prob of picking 1 m and 1 s.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3 - 2*c**2 - 2. Let a = 75 + -48. Let n be 34\/18 + 3\/a. Calculate j(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1459713 - 27*o**2 + 41*o**2 + 1459713.\nAnswer: 14*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times -1275.4489\nAnswer: -255.08978","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f + 10 + 10 - 12 - 37 + 13 + 10. Suppose r = -0*r. Calculate n(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 6.2, -261, -2\/13?\nAnswer: -261","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -30827 - -170832. Suppose 0 = -v - 4*v - m + 21, 3*m - 15 = -3*v. Suppose 2*j = v*w - 5*w + 139990, -w + j + h = 0. Round w to the nearest 10000.\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4407?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 2*f = f + 158, 5*x - 3*f - 206 = 0. Suppose -x = -6*m + 68. What is the remainder when 83 is divided by m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 25099 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-4)*(1344\/138)\/(-28)?\nAnswer: -6\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z. Let g(p) be the second derivative of -2*p**3\/3 - 6*p. Calculate g(a(q)).\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = 74 - 374. What is the derivative of -24 + 97*q**2 - 62*q**2 - t*q**2 wrt q?\nAnswer: -50*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14554940.\nAnswer: 2, 5, 727747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qsnzs. Give prob of sequence qz.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the third derivative of -r**8\/1008 + 4*r**7\/315 - r**6\/72 - 7*r**5\/90 + 50*r**2 - 26*r. Find a, given that t(a) = 0.\nAnswer: -1, 0, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 11118\/3820 - (-3 + (-51)\/(-15)). Let t = -147\/4202 - -1\/22. Let c = t - y. What is the biggest value in -3\/8, -3, c?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**2 + 4*y - 4. Let a(s) = s**2 - 4*s + 5. Let i(f) = -20*f + 267. Let v be i(13). Calculate v*h(z) + 6*a(z).\nAnswer: -z**2 + 4*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/(-2) + 30\/6. Suppose 4 + 11 = -2*v - 5*h, 5*v + z*h = -6. Find the first derivative of 4*n**3 + 3 + v - 8*n**3 - 1 wrt n.\nAnswer: -12*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 1172 = -2*x, 287*x - 291*x + 2356 = -3*c. Calculate the greatest common factor of 144 and x.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 141*n**5 + 127*n**5 + 171*n**5 + (4*n**4 + 5*n**4 - 5*n**4)*(-3*n + 0*n + 5*n) + 0*n**5 + 3*n**5 - n**5.\nAnswer: 449*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 158.4984nm in millimeters?\nAnswer: 0.0001584984","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hqhlhllqhhqq. Give prob of sequence qql.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -8 + 88cb?\nAnswer: 88c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 35*o - 37*o - 33 + 34. Let m = 1 - 3. Let s(c) = c. Let v(p) = -p. Let k(b) = -s(b) - 2*v(b). Determine m*q(l) - 6*k(l).\nAnswer: -2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 2*i. Let f(u) = -2*u. Let o(y) = -5*f(y) - 6*g(y). Let h(p) = p**2 - 8*p + 3. Let z be h(8). Let j(s) = -3*s**2 - 2*s**2 + z*s**2. Calculate o(j(v)).\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96 is divided by 20?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1869715?\nAnswer: 5, 373943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*u + 1 = 24*u. Let g(y) = y**3 + 9*y**2 + 21. What is the remainder when g(-7) is divided by 1\/(u + (-16)\/(-15))?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.4 (b) 19 (c) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 70 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3132?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 741 + -531. What is the lowest common multiple of 30 and r?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8110322 + 3129024?\nAnswer: 3129024.8110322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the third derivative of -31*p**6\/120 + 7*p**4\/6 + 19*p**2. Find the second derivative of m(o) wrt o.\nAnswer: -186*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -165 rounded to 0 decimal places?\nAnswer: -165","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 7*k + 2*k = -26, -s = 5*k + 14 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -30 or -40?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/10 + 115\/(-175))\/((-3)\/(-7))?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 38\/(-5)*(-2660)\/4256. Let f(k) be the first derivative of 15 - 21\/2*k**2 + 0*k + 0*k**3 - o*k**4. What is the second derivative of f(p) wrt p?\nAnswer: -114*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*f**3 - f**3 + 8*f**3)*(0 - 3 + 2)*(-1 - 6 + 3) + 2*f - 26 - 17 + 42 + 17*f**3 as r*f**2 + v + l*f**3 + x*f and give l.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the first derivative of -2*s**2 - 5. Let m(f) = -f**2. Calculate z(m(q)).\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2659199, -2659201, -2659203, -2659205, -2659207, -2659209?\n\"Answer: -2*m - 2659197","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -85.7633 rounded to 1 dp?\nAnswer: -85.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -68 (b) 2\/13 (c) 1 (d) -0.5 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 24 = -4*w, -3*w = -5*c - 19 - 3. Let s(y) = -y**3 + 4*y**2 + 2*y - 1. Give s(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 4*b - 32. Let v = 70 + -33. What is the remainder when v is divided by s(13)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 4846.657 milligrams?\nAnswer: 4846657","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-6)\/8*(-243)\/(-45) and -95\/18.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -8 - (-3 + 6)*(15 + 1696\/(-96)). Find m such that x*m + 2\/9*m**3 - 14\/9*m**2 + 0 = 0.\nAnswer: 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5065, -5276, -5715, -6496, -7733, -9540, -12031?\nAnswer: -15320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-54)\/(-600)*10*(-8 - (-125)\/15).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -92136*q - 60381 wrt q?\nAnswer: -92136","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 4*x - 6 = 6, 0 = 2*w + 2*x - 18 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j*j**(-4\/11)*j*j*j**(-2\/19)*j)**(-16))**(2\/5) assuming j is positive.\nAnswer: j**(-30304\/1045)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 4*o = -3*n + 33, -o - 8 = -2*n. Solve -4*h + n = h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.024 and -385658.\nAnswer: 9255.792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1685 - 1056. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4171 (base 12) to base 10.\nAnswer: 7141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 + 503135780?\nAnswer: 503135782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the third derivative of n**9\/504 - 89*n**8\/336 - n**7\/105 + 419*n**5\/30 + 2*n**2 + 2*n - 649. What is the third derivative of t(w) wrt w?\nAnswer: 120*w**3 - 5340*w**2 - 48*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6268 - 6260. Solve 0 = 4*k - w - 1, -w - 2 = -11*k + n*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*k - 25*k + 52*k + 19*k.\nAnswer: 79*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 198228?\nAnswer: 2, 3, 16519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + -57*6*6\/(-1728)*-10.\nAnswer: -15\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 72*p - 63. Let m(n) = -72*n + 61. Let h(x) = 2*d(x) + 3*m(x). What is the derivative of h(z) wrt z?\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1359, 5033, 11155, 19725, 30743, 44209, 60123?\n\"Answer: 1224*j**2 + 2*j + 133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, h: 1, t: 1, y: 2}. What is prob of sequence ytyn?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(-2\/7)*z*z**(1\/4)*z**(-1)*z\/(z*z**(-3\/2)))**8 assuming z is positive.\nAnswer: z**(170\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 89696.77 centimeters to micrometers.\nAnswer: 896967700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2121322 (base 6) to base 4\nAnswer: 121121102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the third derivative of 0 - 1\/2520*q**8 + 0*q**5 + 0*q**4 + 4*q**2 + 0*q**3 + 0*q**6 + 0*q - 2\/1575*q**7. Solve j(c) = 0 for c.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 237.23112775 - 67.23112957. Let n = 168.71 + 1.29. Let v = w - n. What is v rounded to 7 dps?\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/11, 37.3, -0.302?\nAnswer: -0.302","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 3*v + 0*v - 2*v + 3. Suppose 5*c + 19 = -6. Let f be j(c). Which is bigger: 2\/7 or f?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73 = -w + 58. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**2 - 7*m - 5. Let t be u(-4). Let z = -6 - -8. Solve 0 = -z*f + t*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -14\/203813 and 11\/42908.\nAnswer: 815252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -343, 1 in ascending order.\nAnswer: -343, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -4 + -10 + (3 - -3) - 3.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes after 8:47 PM?\nAnswer: 2:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18787?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p - 23. Give t(10).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -0*p - 332. Let s = -58 - p. What is the remainder when s is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -10*p + 15 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**3 - 14*h**2 - 23*h + 5. Determine k(-12).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**3\/3 + 53989*r**2 + 2376000*r + 78413324\/3.\nAnswer: -(r - 162011)*(r + 22)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 25014 divided by -13?\nAnswer: -25014\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**2 - 945506*v + 630336.\nAnswer: (v - 315168)*(3*v - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -5 + 2 + (sqrt(475)*-2 - sqrt(475) - sqrt(19)))**2 + -2.\nAnswer: 64*sqrt(19) + 4866","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q + 4*m - 15253, 5*q = 4*m + 16700 + 8679. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2195 divided by -2195\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u = -4*o + 48, u - 2967 = 33*o - 3301 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -10.3 times -5639\nAnswer: 58081.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002080635609 to 5 decimal places.\nAnswer: -0.00208","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1*5\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 868335a + -3?\nAnswer: 8683357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3291, -4484, -6471, -9252, -12827?\nAnswer: -17196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 13\/8 of a kilogram?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1092 minus -303.6815?\nAnswer: 1395.6815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1, -0.2, -0.7, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 + (-12)\/9 + (-9295)\/(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7121 + -7041. Let l = -1.8744 - -81.8444. Let w = l - q. Sort w, -0.5, 7.\nAnswer: -0.5, w, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:39 PM and 8:52 PM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 379 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5053 is divided by 601?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w**3 - 4*w**4 - 3*w**4 - 8 + 8*w**4)*(2 - 2 + w).\nAnswer: w**5 - 2*w**4 - 8*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 9 - (-52 - -68 - (4 + 8))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 2*t**2 + 2*t - 2. Suppose -2 - 2 = -4*w + y, -3*w - 5*y = -26. Suppose 0 = w*s - 12 + 18. What is d(s)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.14779 - 0.16779. Which is the third smallest value? (a) -30\/13 (b) x (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20909 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20 (base 6) to base 16.\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 5 + 4)*(x + 1 - 1)*(-34 + 34 + x).\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 598 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.21507 - 332413932\nAnswer: -332413932.21507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1923, -17663, -43895, -80619, -127835, -185543?\nAnswer: -253743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*h + 39 - 3 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 - (3 + 1 + -14).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 114*j**2 - 27*j + 7. Is w(8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2466\/11 + -225. Let m = -885094 + 79659283\/90. Let q = -57\/10 + m. What is the common denominator of q and a?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -146*n + 148*n + 6 = 4*m, 15 = -m - 5*n. Let x(a) = a**3 + a**2 - a - 53. What is x(m)?\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 764205?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 245.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is (((-500)\/75)\/(-20))\/((-4)\/(-567586))*6 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2)\/(n\/(n\/n**(-2))))\/(n*n\/(n\/n**1))**(-9)*(n**(2\/9)*n**(-3))\/(((n*n**(-3\/4))\/n*n)\/n*n\/(n*((n\/((n**(-1\/4)*n*n)\/n))\/n)\/n*n)) assuming n is positive.\nAnswer: n**(137\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -g + 1908 - 510, -5*p - 2787 = -2*g. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8\/(-4) - -2*5. Find the second derivative of 42*k - 11*k**3 - 22*k**3 - k + t*k**3 wrt k.\nAnswer: -150*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**3 + 159016*y**2 + 318029*y + 159014.\nAnswer: (y + 1)**2*(y + 159014)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(39) - sqrt(156)\/sqrt(4) - sqrt(39))*-5)\/(4*sqrt(192)).\nAnswer: 5*sqrt(13)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*o**2 + 12*o**2 + 28*o**2 as v*o + p + h*o**2 and give h.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in r**2 + 388*r - 126*r - 128*r - 134*r.\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -235, -264, -303, -352?\nAnswer: -411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1365 + -696. Is a a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 - (1 + 0 + (93 - 92) - 4)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 193712.9 weeks?\nAnswer: 32543767.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-9)\/(l*l*(l**6*l)\/l) assuming l is positive.\nAnswer: l**(-17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.08, -3\/7, -2\/5, -1\/2, -0.097348, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 22 and 79196?\nAnswer: 871156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -175912.\nAnswer: 1\/87956","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 123 a factor of 1544?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**2 - k. Let p(w) = 2*w**3 + 4*w**2 - 3*w + 26. Give 4*d(q) - p(q).\nAnswer: -2*q**3 - q - 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 231, -1, 5 in ascending order.\nAnswer: -1, 3, 5, 231","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sksa when four letters picked without replacement from wwoaofswsfwwaawoko?\nAnswer: 1\/12240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 22 - 16. Let q = l - 4. Solve 2*n - q = n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 7*a**2 - 4*a**2 + 440 - 440. Let g(d) = 46*d. What is g(u(q))?\nAnswer: 138*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2, -10, 3, -31, 23, 193 in descending order.\nAnswer: 193, 23, 3, -2, -5, -10, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2872 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + 20 = 0, 2*g = -5*c + 2*c - 10 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -3732, -7221, -10460, -13455, -16212, -18737?\n\"Answer: -f**3 + 131*f**2 - 3875*f + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7032125*m**2*o**3 - 22*m**2*o**2 + 15950*m**2*o - 31*m*o**6 + 2*m - 6*o**2 - 1 wrt o?\nAnswer: 42192750*m**2 - 3720*m*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -201 + -1a93?\nAnswer: -2194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -11*x**3 - x**2 + 7*x - 86. Let c(l) = 5*l**3 + l**2 - 3*l + 39. Let n(u) = 9*c(u) + 4*w(u). Calculate n(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -0*i + 20. What is the third derivative of 6*q**i - 4*q**5 + q**2 - 2*q**5 - 4*q**6 wrt q?\nAnswer: -480*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the third derivative of -i**6\/120 - 3*i**5\/20 - i**4\/3 - 5*i**3\/6 - 236*i**2. Determine m(-8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 4 - 3)*(10 - 18 - 7)*((0 - 2 + 3)*(-2*n + 4*n - 3*n) - 7*n + 0*n + 0*n) in the form v + g*n and give g.\nAnswer: 240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*b + 0 + 0)*(12047 + 226*b**3 - 12047) in the form u*b**2 + c*b + h*b**4 + x*b**3 + d and give h.\nAnswer: -452","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 9 = j, -26*j + 27*j = -3*h - 5 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3*1*1 - -2. Let f = -3 + c. List the prime factors of (12\/(-10))\/(f\/30).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -123, -208, -293, -378, -463, -548?\nAnswer: -633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.82040374 to 3 dps.\nAnswer: -0.82","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -211.9 - -211.8994. Is 2\/7 < w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2\/9*x**2 + 0 - 610\/9*x = 0. Calculate x.\nAnswer: 0, 305","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ks when two letters picked without replacement from {s: 4, a: 3, k: 6}.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**2 + 4*f + 5. Let l be o(5). Suppose l = 2*k + 57 - 3. Let n be 6\/k + (-917996)\/18. What is n rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*i - 16 - 2432 = 0. Solve -34*m + i = -98 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v**4\/8 - 515*v**3 + 530450*v**2 = 0. What is v?\nAnswer: 0, 2060","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -6562*v + 158. Let a be g(-8). Suppose 0 = -10*p + 3*p + a. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3*(175\/(-42))\/((-15)\/12). Let p(x) = 3*x - 5. Suppose -11 = 2*z + 1. Let v(a) = 2*a - 3. What is h*v(k) + z*p(k)?\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1529 + 3.24.\nAnswer: -1525.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a - 2. Let v(t) = 5*t + 11. Let f = 23 - 46. Let u = -2 + 3. Let b = u + f. Calculate b*n(q) - 4*v(q).\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 - 50\/(-4))*(39 - 41). Let a = m - -21. What is the second smallest value in 3, a, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 - 3*m**2 + 35*m - 7. Calculate r(-11).\nAnswer: 576","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130*q = -131*q - 6. Suppose -3 - 3 = 2*d, 25 = 4*w + 5*d. Is 4\/(1 + q\/w) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes after 7:18 AM?\nAnswer: 8:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 806 (base 10) in base 3?\nAnswer: 1002212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -147*m*q - 2*m + 2*q - 40 with respect to q.\nAnswer: -147*m + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -5, -129, -192, 4, 7 in decreasing order.\nAnswer: 7, 4, -3, -5, -129, -192","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 + 8.1. Let t = 107 - 965\/9. Which is the third biggest value? (a) q (b) t (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1691819593 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5305.455s to hours.\nAnswer: 1.4737375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 478799\/76266 - 1\/4237. Calculate the common denominator of 109\/18 and f.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-8 - 270\/(-33))\/(-2 - -1). What is the nearest to -0.1 in a, -0.02, -1?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 148\/22 - (-20286)\/15939.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 15*h**2 + 17*h + 64. Let l be p(-3). Calculate the greatest common divisor of l and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -865 by -173.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7339*b + 0 + 4645*b + 0 - 5*b**2 + 2694*b.\nAnswer: -5*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 24642.9 - 100343\nAnswer: -75700.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 8620 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: Is -196\/10461 at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 419 - 148. Let g = 522 - p. Let y = g + -84. Does 42 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.014727 and 3.\nAnswer: 0.044181","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*h*y**3 - 4*h*y**2 - 3*h*y - 3*y**4 - 2*y wrt y.\nAnswer: -12*h*y - 8*h - 36*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the third derivative of z**6\/120 + 2*z**5\/15 + z**3\/2 + z**2. Let f be v(-8). Let l = 27 + f. Does 8 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3630764?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.0255 (b) 4 (c) 63 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -294045, -294039, -294033?\n\"Answer: 6*f - 294051","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 2*d - d + d. Let j(w) = 7*w - 19*w + 8*w. Determine j(f(l)).\nAnswer: -8*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*u**2 + 4*u**2 - 4*u**2 + (2*u**2 + 1 - 1)*(0 - 1 - 1) + 0*u**2 - u**2 - 7*u**2 + 798*u**2 - 362*u**2 + 284*u**2 + 752*u**2.\nAnswer: 1458*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 128414?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -32\/294671 and -48\/294671?\nAnswer: 294671","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17.3 - 19. Let f = 1.8 + a. Let k be 0 + 2 + 15\/(-9). Sort 6, k, f in ascending order.\nAnswer: f, k, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.1 + 0.4. Suppose -w + 2 = -5*q - 0, 0 = 3*q + 4*w + 15. Let a be 7\/7 + q*5. What is the biggest value in r, a, -1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -53489.\nAnswer: 1\/53489","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 36 + -4?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 - 6*m**2 + 6*m. Let g be 32\/6 - 2\/6. What is the units digit of x(g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/20)\/(19 + 3997\/(-210)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 896.5283cm in micrometers?\nAnswer: 8965283","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17481 = -43*j - 109. Let s = 791\/2 - j. Which is greater: s or 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 - (2*1 - 1). Let d(o) = -41*o - 299. Let z be d(27). Let c = 5627\/4 + z. What is the smallest value in c, 0.2, b?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**3 + g**2 - 3*g - 3. Let v be (-3 - -1 - (-4 + 3)) + -2. Let k be t(v). Let o(s) = s**2 + 12*s - 3. Determine o(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - 17 - 8. Let g(c) = -127999*c**2 - 5*c. Let j be g(u). Round j to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**3 - 5*n**2 + 13*n + 35. Is 14 a factor of f(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 12 = -4*f. Suppose r - u + 0*u = f, 4*u = -2*r. Let i be 6\/(-14)*r\/(-3). Which is bigger: -1 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, 0.2, -521?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**5 + 5*y**4 + 4*y**5 + 2*y**5 + 4*y**2 + 8*y**3 - 3*y**5.\nAnswer: y**2*(y + 1)*(y + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33896585597 + 2*p**3 - 33896585597.\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12901?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-1\/2)\/b)**27)**(1\/13) assuming b is positive.\nAnswer: b**(-81\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4872 or 1\/5858?\nAnswer: 1\/5858","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3247 - 3248. Let o = -293 + 165. Is o at least as big as c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.9 - 13.5. Let i = -12.2 - h. What is the biggest value in i, -1\/8, 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 - 2. Let g(c) = 9*c**2 - 74*c - 9. Let p be g(7). Is n smaller than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 9, u: 5}. Give prob of picking 2 a and 1 u.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3079772753 to the nearest integer?\nAnswer: 1455","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o*o**(2\/9)))\/o**(1\/3)*(o*o*o\/(o*o\/((o**(-2)*o)\/o*o)))\/(o\/(o\/(o**(1\/5)\/o))*o))\/(o*o*(o\/(o\/(o**5*o)))\/o*o**(2\/9)\/o)**45 assuming o is positive.\nAnswer: o**(-12634\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2090, -4080, -6068, -8054, -10038?\n\"Answer: u**2 - 1993*u - 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 16) in base 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -562*a - 4692. Calculate f(-9).\nAnswer: 366","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -6*o - 55. Find the common denominator of 31\/30 and 1196\/1190 + 60\/7 + o.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -28*q**2 + 316*q - 840.\nAnswer: -4*(q - 7)*(7*q - 30)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the third derivative of 0*g**5 - 1\/3*g**3 + 13\/105*g**7 - 9*g + g**2 - g**4 - 1\/336*g**8 + 0 + 0*g**6. Find the second derivative of h(k) wrt k.\nAnswer: -20*k**3 + 312*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -7.17 and 0.5.\nAnswer: -3.585","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**2 - 18*z + 40. Let t be n(16). Suppose -u - 8 = t. List the prime factors of (-4)\/u + 498\/24.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 32\/6 - (-2)\/(-6). Suppose -2*g + 5*a = -33, 2*g - 3*g = -4*a - 24. Differentiate -1 + 5*s**g + s**4 - o*s**4 wrt s.\nAnswer: 4*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/61 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = 3*b - 3, -5*j + 19 = -b - 0*b. Let 44*q**3 + 4*q**4 - 44*q**j = 0. What is q?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -1. Let h(u) = -2*u + 5. Let f(a) = -h(a) + z(a). Let l be f(5). Solve 2*k = -0*k + l for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 130337 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-32)\/14 + 6\/21. Let c be (-3)\/6*60\/w. Suppose 5*m = -c, -3*m - 2*m + 45 = 5*n. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(78) - sqrt(78)*1*-1) + sqrt(78))\/(-2*sqrt(294)).\nAnswer: -4 - 3*sqrt(13)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5039662 + 2047757. Let q = 2992155.00553 + i. Let c = q - 250. Round c to three dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:12 PM and 2:27 AM?\nAnswer: 435","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Solve -101 = -44*f - 57 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 4 = -5*l - 16, -5*h - 43*l = 172 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -8642*u**3 + 5*u**2 + 8. Suppose 0 = 5*d - 16 - 4. Let s be b(d). Round s to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -14369, 1, -1 in ascending order.\nAnswer: -14369, -1, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-218)\/3)\/(2\/(-3))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 - 105?\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(1*(5 + (4*sqrt(147)*-2 + -4)*-4))**2.\nAnswer: 9408*sqrt(3) + 150969","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1087 not equal to 1083?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**2 - 11*b - 8. Let r be i(-10). Suppose 3*s + r*s = 0. Solve s*m - 5*m = -20 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 200.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the first derivative of 5*z**2\/2 + 16*z - 171. What is c(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1237661 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the third derivative of 17*r**4\/24 - 7*r**3\/6 + 3*r**2. Let n be v(2). Let b = n + -62. Round b to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence scci when four letters picked without replacement from {s: 1, c: 4, i: 5, w: 2, y: 4}.\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -135 divided by 8?\nAnswer: -135\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1577578?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*v**3 + 6*v**3 + 3*v**3 + (1 + 2*v - 1)*(-2*v**2 + 5*v**2 - 4*v**2) - v + v + 2*v**3.\nAnswer: 6*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -50213.97 rounded to the nearest 1000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-16)\/(-4))\/(-12) + 0. Which is the closest to q? (a) 1 (b) 5 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yty when three letters picked without replacement from yyttyttt?\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 - 3*219\/9. What is v rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-468)\/(-90) - 5)\/((-63)\/450).\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -7674, -15611, -23548?\n\"Answer: -7937*v + 263","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4122 + 519. List the prime factors of i.\nAnswer: 3, 7, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-55)\/(-33))\/((-2)\/(-18)) is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 479 and 804.8.\nAnswer: 385499.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1186, 1187, 1188, 1189?\n\"Answer: t + 1185","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -p - 2. What is the second derivative of 8*t**5 - 5*t - 13*t**5 + p*t wrt t?\nAnswer: -100*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7896062 and 1856?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q\/q**(-2\/5)*q)**(-12)\/((q*q**(-8))\/q*q**(-2\/25)\/q*q)*(((q\/(q*q\/(q*q**(1\/4))))\/q)**(-33))**27 assuming q is positive.\nAnswer: q**(63553\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 81, 150, 239, 348?\n\"Answer: 10*n**2 + 39*n + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 9 = 6. Let d(c) = -17*c + 21*c + 10*c + 6*c + 41 + 479. Let p be d(-26). Put f, p, -51 in decreasing order.\nAnswer: p, f, -51","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6713 + 6712.7. Sort k, 15, 0.24 in decreasing order.\nAnswer: 15, 0.24, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -48 + -12. Let b = g + 62. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -18 + 32. Let v = -10 - -18. Suppose -q - 9 = -3*f - 2, -4*q + 40 = 5*f. Solve s = -q*y + g, -s - s = -v for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 784 and 2646.\nAnswer: 21168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*z + 230 - 185. Solve 0 = -5*g - 0*g + z, g = u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2926 + 5006. Is 26 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -20 - -19 - 3*-31 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 222 or 221?\nAnswer: 221","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 - 5 = 2*r - 33 for r.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-5*(sqrt(2448) - sqrt(2448)*-3) + sqrt(2448)))**2.\nAnswer: 31814208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 24.13206ml?\nAnswer: 0.02413206","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 103*d + 264*d - 461*d.\nAnswer: -94*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/1026 and -5\/746928.\nAnswer: 746928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 41245+-371302212\nAnswer: -371260967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 480 - 325. What is the remainder when v is divided by 40?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(396) + 1)*-4 + (-1 + sqrt(396) + 5 - sqrt(396)))**2 + (-2*sqrt(198))\/(sqrt(14)\/(-1*sqrt(7))).\nAnswer: 6*sqrt(11) + 6336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 102 and 590154.\nAnswer: 10032618","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 + -92861*(-2)\/(-28). Suppose -4*t + 3*u + 33129 = -9*t, -4*t = -3*u + 26514. Let p = t - k. Find the common denominator of 21\/2 and p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 31 - 1. Suppose 5*x + 2*m = 53, -2*m - 3 = x - 12. What is the remainder when d is divided by x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 6 = -4*p. Suppose -3*u = -5*k + 9, -4*k - 15 = p*u + 2*u. Let c(w) = 5*w - 9. Let j be c(2). What is the closest to -1\/3 in j, 2, u?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 219*14\/(-196) - 390\/(-26)\nAnswer: -9\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 28\/12*(2 - -13). Let z(o) = 2*o + 12. Let n be z(-5). Suppose a - n*t - 14 = -3*a, -2*a + 25 = 5*t. Calculate the highest common divisor of a and u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 152651129.\nAnswer: 152651129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 611415 to the power of 1\/3, to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7980.\nAnswer: 2, 3, 5, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 4, j: 1, v: 2, i: 3}. What is prob of picking 1 l and 1 j?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 140 and 28.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-3*(-2 + (sqrt(153) - 1*sqrt(153)))**2 - (sqrt(153)*-1*3 - 1*(sqrt(153) + -2*sqrt(153)))**2) + -2.\nAnswer: -626","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*p**3 + 0*p**3 + 0*p**3.\nAnswer: -13*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the first derivative of -8 + 3\/20*k**4 + 1\/15*k**3 + 1\/25*k**5 - 2\/5*k - 3\/10*k**2. Factor b(q).\nAnswer: (q - 1)*(q + 1)**2*(q + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - (-3 + 1)) + (9 - 10)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 2136*t - 32034. What is s(15)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -4*m + 28, 2*m + 5*g - 3 + 17 = 0. Suppose -2*i = m*i - 155. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 - 3. Let x be (-38)\/6*(-3 - j). Let v be (-57)\/6*(0 + -2). Calculate the highest common divisor of x and v.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6030 divided by -1206.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, 5, 15030.\nAnswer: -5, -3, 5, 15030","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.1 + 2. Let f = -6.04 + 0.04. Let u = -5.7 - f. What is the nearest to r in u, 1, 1\/2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 3*x. Let b(p) = -2*p. Let k(v) = 3*a(v) + 4*b(v). Suppose 2*w = 4*i - 0*i - 12, 2*w = -4. Let o(q) = q**2 - 2*q**2 + 4*q**i. Give o(k(z)).\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4\/5603907555 - -498914768888923\/68345256540780. Let r = x - -1\/12196. What is the common denominator of -139\/6 and r?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 f when two letters picked without replacement from {z: 4, m: 3, f: 7}?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n**2 - 2*n**2 + n**2)*(12 + 4 + 46) + (2288 + 248*n - 2288)*(2*n - 1 - 2*n - n).\nAnswer: -372*n**2 - 248*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 183719176?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 74109?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -4*m + 3*m + 13, -3*m = t. What is the biggest value in 1\/5, t, 1, -1\/9?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 divided by 34.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.034 + -13.966. Let h = j - -14.4. Which is the fourth biggest value? (a) 0.5 (b) h (c) 2\/15 (d) -3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 336558*b**5 - 3*b**2 + 8444*b + 414 wrt b?\nAnswer: 6731160*b**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 187, 31, -219, -599, -1145, -1893?\nAnswer: -2879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -71 - -118. What is the common denominator of y and 87\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 4\/21 of a week?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the second derivative of -v**7\/210 - 7*v**6\/150 - 4*v**5\/25 - 2*v**4\/15 + 8*v**3\/15 + 8*v**2\/5 - 7*v + 12. Solve g(h) = 0 for h.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.11, 0, 4, 10\/9?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 466693756 from -2227.8.\nAnswer: -466695983.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4781, -1\/7, -0.2, 0, 2\/13 in increasing order.\nAnswer: -0.2, -1\/7, 0, 2\/13, 4781","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.287 - -0.013. Sort h, 11, 2\/17.\nAnswer: 2\/17, h, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6594018721?\nAnswer: 6594018721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 20*b**2. Suppose -3*o - 2 = 5*w, 4*o + 13*w - 8*w + 1 = 0. Let t(g) = -o + g - 22 + 23. Determine k(t(s)).\nAnswer: 20*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (3*(sqrt(176) + sqrt(176) + -1 + sqrt(176) + sqrt(176) - sqrt(176)) + 4 + 2*sqrt(176))**2 + -2.\nAnswer: 88*sqrt(11) + 21297","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 2 h when four letters picked without replacement from gghggkgklghglhg?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*r - 400*r + 4905 = 0 for r.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10797*z + 10805*z + 224 for z.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/651 and -32\/16023621.\nAnswer: 112165347","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wywwwwwwwwwwwywwwww. What is prob of picking 2 w and 1 y?\nAnswer: 16\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(48) + sqrt(1200)*1)\/(sqrt(512)*-2 - sqrt(512)))\/(((-2*sqrt(14) - sqrt(14))*-1)\/(sqrt(7)*1*4)).\nAnswer: -sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1089) - sqrt(1089)*-2)*3)\/(sqrt(432) - (sqrt(432)*-1 - sqrt(432)) - sqrt(432) - (2*sqrt(3)*-1 - sqrt(3))).\nAnswer: 11*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42.6*-3.\nAnswer: -127.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand v**4 - 2*v**4 + 2*v**4 + (11*v - 22*v + 19*v)*(-23*v + 11*v**3 + 23*v).\nAnswer: 89*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -765 - -779. What is the remainder when 530 is divided by z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -175, -19136, 2 in ascending order.\nAnswer: -19136, -175, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 4*z - 126. Let y = -20 + z. What is the smallest common multiple of y and 18?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -169.6655? (a) 1 (b) -0.4 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1536, -1478, -1420, -1362, -1304?\n\"Answer: 58*a - 1594","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*h - 7*h - 12*h.\nAnswer: -17*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 4, q: 4, s: 2, i: 4}. Give prob of picking 4 b.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(36)*-4)\/(sqrt(16)\/sqrt(32)))\/((-3*sqrt(66)*-2)\/(sqrt(704) + 2*sqrt(704))).\nAnswer: 32*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15 - 15.41. Let v = 0.11 + s. What is the third smallest value in v, -5\/4, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 167759 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-5*(sqrt(1008) + sqrt(1008) + sqrt(1008)*2))**2.\nAnswer: 10080000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1, -36, -95, -178, -285?\nAnswer: -416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80931 is divided by 4760?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -k + 1052, 3*k = -k + 16. What are the prime factors of h*(9\/6 - 2)?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 + 18*n**2 + 5*n - 12. Let v be j(18). Let g = 43 + v. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -3*d - 261, -3*d - 83 = 2*m - 252. Suppose -2*s = 4*g - m, -4*s + 33 + 67 = 5*g. What is the highest common factor of g and 72?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 72\/(-6)*85\/(-102).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 372\/11 + 14\/11*j**3 - 456\/11*j**2 + 670\/11*j = 0?\nAnswer: -3\/7, 2, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4106429 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 98669 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14 - -20. Let w(o) = 3*o - 8. Let k be w(x). Suppose -2*b - k = 0, 21 = -0*g + g - 2*b. List the prime factors of g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 24*a*s**2*z - 2*a*z**2 - 2*a*z - 136*a - 2*s**2*z**2 - 147*s*z**2 - 3 wrt s.\nAnswer: 48*a*s*z - 4*s*z**2 - 147*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 2*l - 7. Let m be (-5 - (-102)\/20)*l*4. What is the nearest to -1 in -0.11, m, -5\/2?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r + 2*w + 348, 7*r + 4*w - 342 = 6*r. Suppose -r*p + 353*p = 819. Does 8 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1099330 rounded to the nearest one hundred thousand?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -10, -21, -40, -67, -102, -145?\n\"Answer: -4*b**2 + b - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(78)*2 - sqrt(78))\/(sqrt(6) + sqrt(6) + sqrt(600)*-2 + sqrt(6)).\nAnswer: -3*sqrt(13)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 2*u**2 + 192*u + 4*u**2 - 381*u + 189*u. Let h(g) = -7*g**2. Determine t(h(z)).\nAnswer: 294*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 45\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -2*g. Let o(y) = 89*y - 1. Determine 6*i(u) - o(u).\nAnswer: -101*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-nine halves of a litre?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - 6 = -7*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-3)\/2)\/(3\/(-4)). Let u = 385 - 253. Let p = u + -927\/7. What is the second smallest value in -0.5, t, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 4*a**3 - 233*a**2 + 59*a + 54. What is the remainder when 669 is divided by g(58)?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 11*(-14)\/(-154) + 1. Solve -x - 4*j + 15 = 0, 15 = -q*x + 7*x + 5*j for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 140 and 535640.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minus 16.4012?\nAnswer: -14.4012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 135445 and 412.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.006? (a) 6 (b) 5 (c) 2\/3 (d) 2.34\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -40, -84, -128?\nAnswer: -172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -4*u**3 + 3*u + 3. Let c(o) be the third derivative of -o**6\/120 + o**4\/24 + o**3\/6 + 78*o**2. Let b be 2\/4 + 22\/4. What is b*c(a) - 2*g(a)?\nAnswer: 2*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -474188020 rounded to the nearest one million?\nAnswer: -474000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 9, v: 10}. Give prob of sequence mv.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 276 is divided by 37?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the second derivative of r**4\/12 - 2*r**3\/3 + r**2 + 3*r. Let t be a(4). Is t > 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*l**2 - 174*l**2 + 74*l**2 - 22*l**3 + 17*l**2 - 594*l**2 wrt l.\nAnswer: -132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y + 3*d + 12, -2 - 18 = 4*y + 5*d. Suppose -4*x - x - 15 = y. Let p be (x - -4)*(-2)\/5. What is the smallest value in p, 3, 0.4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 158\/115 - 4\/23. Is -1\/2 less than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (9 + -12 - 2)\/((-15)\/12). Let d(b) be the second derivative of 0 - 13*b + 1\/2*b**z + 0*b**3 - 3*b**2. What is the first derivative of d(y) wrt y?\nAnswer: 12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.6 + 0.2. Let v = 82905 - 82909. Put 2, -13, p, v in ascending order.\nAnswer: -13, v, p, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -1, -4, 0 in decreasing order.\nAnswer: 8, 0, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(22) + sqrt(352)))\/sqrt(11).\nAnswer: -10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14899 + 8136 - 9*a**2 + 6763 - 7*a**2 + 14*a**2.\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 112.99999835 + -113. What is c rounded to seven dps?\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1999.71493 - -4.1216\nAnswer: -1995.59333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**2 - 17*m + 15. Let u be j(-18). Let s(q) = -q**2 + 3. Determine s(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {g: 3, c: 1, s: 5, a: 6}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0026*13387.\nAnswer: -34.8062","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -65976 divided by 10996\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -2*z. Let u(l) = 14*l**2 + 4. Let t(h) = 141*h**2 - 155*h**2 + 99*h**2 + 25. Let r(c) = 4*t(c) - 25*u(c). Give r(s(i)).\nAnswer: -40*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 469*z**3 - 9*z + 5*z - 2*z**4 + 1 - 1260*z**3 in the form p*z + r + o*z**4 + g*z**3 + i*z**2 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes after 1:24 AM?\nAnswer: 7:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22 + 36 - 96 + 72*v - 83*v + 37.\nAnswer: -11*v - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*p**2 - 5*p**2 - 16*p**2 - 9*p + 6*p - 4*p**2.\nAnswer: -35*p**2 - 3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express l**4 + 2*l**2 - 5*l - 2*l**3 + 38 + 3*l - 48 + 4*l in the form j*l**3 + q*l + f*l**2 + g*l**4 + p and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let f be (-26)\/(-28) + 6\/(-12). Sort -1\/7, f, 1.43, 0.4.\nAnswer: -1\/7, 0.4, f, 1.43","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12125401 (base 6) to base 10.\nAnswer: -384841","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 0*d - 102 + 2 + 4*d - 190*d**2 + 0*d - 3*d wrt d.\nAnswer: -380","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4147 at least as big as 4147?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -4*u + 5*b, -2*b = -3*u + 61 - 108 + 51 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 15) in base 10?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((1 + sqrt(243) - sqrt(12)\/(sqrt(256) + sqrt(4) - sqrt(4))) + ((sqrt(12) + -1)*-4 - sqrt(12)) + -2 + 1)**2.\nAnswer: -9*sqrt(3) + 1011\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 17735592 and 16468764.\nAnswer: 230562696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-30)\/9)\/(4\/12). Let t = l - -12. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-three eighths of a milligram in micrograms?\nAnswer: 2875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39582?\nAnswer: 2, 3, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 56777 to the power of 1\/2, to the nearest integer?\nAnswer: 238","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 9*d - 414. Let i = 66 - d. Sort i, 4, -5, -30 in decreasing order.\nAnswer: 4, i, -5, -30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide (-249)\/332 + (-44109)\/(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 410 - 124154?\nAnswer: -123344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 17\/13 or -55607?\nAnswer: 17\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 552041 (base 8) in base 15?\nAnswer: 39dd7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 511 - 355. What are the prime factors of s?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -19*a - 7. Let m(o) = -16*o - 6. Let x(r) = -6*j(r) + 7*m(r). Let w(p) = 3*p + 29*p - 7*p. Calculate w(x(v)).\nAnswer: 50*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 z, and 1 h when three letters picked without replacement from wwfizfziwhzzzzzwf?\nAnswer: 21\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 25 - 21. Suppose -2*v = 4*j - 4*v + 12, 2*j + 2*v = 0. Let h = j + m. Solve 7*c - 25 = h*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-46)\/(-44)*(-6 + (-72)\/(-16)) and -37\/44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 79 - 78.9. Which is bigger: t or 160?\nAnswer: 160","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 181 divide 15049064?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 0.4 (b) 1 (c) -13\/5 (d) 31 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -361 or -362?\nAnswer: -361","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 20 = t - 96, 2*t + 128 = 2*q. Let u(n) = 1 - 18*n**2 - 18*n**2 + 2*n - 4 - 23*n**2 + q*n**2. Let h = 1 + -4. Determine u(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from fffffuufuf?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 6 = 2*k, -51*z + 46*z + k = -21 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yrw when three letters picked without replacement from {w: 1, p: 1, r: 2, v: 2, y: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4929065222 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 105*a**3 + 2*a**2 - 5*a + 2. Determine l(1).\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -286 - -6. Let t = 46\/3907 - 12018438\/42977. Let u = i - t. Find the common denominator of u and -59\/10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, 1, 57, 0 in decreasing order.\nAnswer: 57, 4, 1, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 13098367031 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes before 9:50 PM?\nAnswer: 10:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**2 + 12*i - 190. List the prime factors of a(57).\nAnswer: 19, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -3*k. Let b(z) = z. Let t(a) = 5*b(a) + i(a). Let h(y) = 2*y + 25*y**2 - 2*y - 22*y**2. Determine t(h(u)).\nAnswer: 6*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.39 + 1.61. Let c = -74 + 68.9. Let t = 5 + c. Sort 2\/21, a, t, 3.\nAnswer: t, 2\/21, 3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -g**2\/4 - 3180*g - 6359 = 0?\nAnswer: -12718, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, -27, 15, -4, 5, -39 in decreasing order.\nAnswer: 15, 5, -4, -17, -27, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4276 or -4268?\nAnswer: -4276","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2140531?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2238\/450 - (-30)\/1125. Solve 4 + 4 = 2*f, 2*m + g*f = 24 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1053294 and 198.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -34 + 39. Suppose 2*y = y - 4*n + 7, r*n = -3*y + 14. Solve 0 = y*u - 6*u - 6 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, s: 3, t: 2, v: 6, z: 2, p: 1}. What is prob of picking 1 t and 2 v?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3 - 6) + 2*2. Let u be 7\/(-14) + (s - 0). Let y = -0.5 - -0.3. Which is the second biggest value? (a) y (b) u (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.442867661 and 12.\nAnswer: 11.557132339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 52 - 87. Let i(q) = 2*q - 2. Let b(n) = 9*n + 31. Let r(m) = -b(m) + 2*i(m). Let f(z) = z + 6. Determine k*f(t) - 6*r(t).\nAnswer: -5*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -3\/11 (b) 3 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -338*h**2 - 22*h - 4. Let w(a) = -170*a**2 - 10*a - 2. Give 4*k(y) - 9*w(y).\nAnswer: 178*y**2 + 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 532253 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -23263a (base 12) in base 4?\nAnswer: -2021300032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 61 + 260. Is 0.1 equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/7? (a) 17 (b) -1 (c) -1\/51\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -3.6+-145.309364\nAnswer: -148.909364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 814387 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -676*i**2 + 6723503488*i - 16718010041844736.\nAnswer: -4*(13*i - 64649072)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -29 - -28.14. Round r to 1 dp.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17 + -14. Let b be ((-8)\/(-24))\/(5\/g). Which is smaller: -0.1 or b?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from moodooooodooddodo. What is prob of picking 1 d, 1 o, and 1 m?\nAnswer: 11\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 60b8 (base 12) to base 5.\nAnswer: 314013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -9*u - 111. Let b be n(-15). Suppose -b*s = -23*s. Solve -c + 7 - 11 = s for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21 - 1762\/(-84)) + 1\/(-7).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.7? (a) 0.3 (b) 1\/7713 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2014821212?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + -3. Let b be m + 0 - (-31 + 1). Suppose -120 + b = -2*c. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the first derivative of 2*u**3\/3 - 4. Let j(n) be the first derivative of -n**3\/3 - 12. Calculate s(j(i)).\nAnswer: 2*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express k**3 - 1119*k - 351041 - 2*k**2 + 351041 in the form g*k**3 + a*k + s*k**2 + f and give a.\nAnswer: -1119","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -73, -6.1, 1033 in ascending order.\nAnswer: -73, -6.1, 1033","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(126)\/((sqrt(7) - sqrt(7)*-2 - sqrt(7))*4))**2 + (sqrt(1250) + (sqrt(1250) - (-3 + sqrt(1250)*-2)))**2*3.\nAnswer: 1800*sqrt(2) + 480297\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2156902690?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.9689 - 0.0311. Let w = -1\/24 + -1\/8. Which is the closest to q? (a) -0.4 (b) -7 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 316 - 316. Solve w + 2\/15*x**2 - 2\/15*x = 0 for x.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-13)\/((-39)\/20))\/(-6).\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = n - 18. Suppose -w = -2*j + j + 3, w + 1 = 0. What is the remainder when 28\/6 - j\/3 is divided by n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/38085 and -9\/5078?\nAnswer: 76170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 40535494 to the nearest integer?\nAnswer: 344","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-1)\/(b*b*b**(-1\/11)) assuming b is positive.\nAnswer: b**(-32\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23466.\nAnswer: 2, 3, 3911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 36 + 26253350?\nAnswer: 26253416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*y**3 + y**2 - 118*y?\nAnswer: 24*y + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - 7 = 4*u - 3, -2*r = 5*u + 11 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/10 and (-470)\/24*(-8)\/(-20)*1.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2695 is divided by 377?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 86*-150.\nAnswer: -12900","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -657*j**2 - 198*j - 210. Give m(-1).\nAnswer: -669","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 36 - 2*v - 2\/3*v**2.\nAnswer: -2*(v - 6)*(v + 9)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**2 + a + 6. Let q be l(-2). Solve -q*n = n + 36 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i + i - 5*t, t + 2 = 3*i. Let w be 5 - (4\/i + -1). Solve -w*z = z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1\/5 (b) -0.148 (c) -17 (d) 5 (e) -6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(128) - (sqrt(128) - sqrt(128)*5)).\nAnswer: -160*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.5, -0.3169, -2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(121)\/(-1*sqrt(11)) - (sqrt(11) + (2*sqrt(33))\/sqrt(3)))**2*-3.\nAnswer: -528","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14.46 + -14.54. Is m greater than 37?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (2 - -8) - ((-115440)\/(-1482) - (-6)\/57).\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -70*p**5 + 30*p**2 - 76*p**5 + 177*p**5 - 46*p**5 + (-3*p + 5*p - 3*p)*(-4*p**4 + p**4 + 5*p**4) - 2*p**5 + 0*p**5 + 0*p**5 + 2*p**5 + p**5 - 4*p**5.\nAnswer: -20*p**5 + 30*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 82 - 10aa0?\nAnswer: -10a1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the second derivative of -2*g - 1\/2*g**2 + 0 + 0*g**3 - 1\/12*g**4 - 1\/10*g**5. List the prime factors of m(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.0424, 3812, -1\/4.\nAnswer: -1\/4, 0.0424, 3812","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15 - 13. Let n be 0\/a*18\/(-18). Let s = 9.95 + -10. Sort n, s, -0.3 in descending order.\nAnswer: n, s, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a**2 + 3 - 3)*(-20*a**3 - 15*a**3 + 2*a**3)*(19 - 42 - 50).\nAnswer: 4818*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5470.752 meters to kilometers.\nAnswer: 5.470752","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1342*h**4 - 22*h**2 - 13448*h wrt h?\nAnswer: 16104*h**2 - 44","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - 2*a - 2*a = -3, 5*a = -5*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 21.739 + -22.8. Let j = t - -0.061. Let p = 0.7 - 0.2. What is the third biggest value in 3, p, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 585 - 579. Which is the third smallest value? (a) 0.2 (b) 4 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*h**3 + 39*h**2 + 144*h - 144*h wrt h.\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 s when two letters picked without replacement from {j: 1, b: 5, w: 3, d: 2, s: 5}?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 2*z + t = -8, -z = -5*t - 7. Let i be (-1)\/(((-6)\/(-28))\/z). Let w = i + -14. Which is bigger: -0.02 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 33 + -33.5. What is the second smallest value in -1\/4, 5, x?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w - 3*w + 36 - 34)*((-2 - 2 + 2)*(3 + 2*w - 3) + 0*w + 3*w - w).\nAnswer: 2*w**2 - 4*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -33104 + -13043014?\nAnswer: -13131123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2, -13, -36, -67, -106?\n\"Answer: -4*u**2 - 3*u + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, l: 2, n: 4, u: 1, c: 1, g: 1}. Give prob of sequence qul.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 78633.\nAnswer: 3, 8737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1011*a**2 - 319*a**2 - 323*a**2 - 368*a**2.\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**2 + 13*v + 11. Let t be i(-13). Let y(f) = -3 - 14*f**2 + 4 + t*f - 12*f. Calculate y(1).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -7*q**2 + 89*q - 177. Let p be h(2). Let x be 1*p*(-8)\/48*8. Factor 42*s**4 - x*s**3 + 0*s + 54\/7*s**2 + 0.\nAnswer: 6*s**2*(7*s - 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 72011\/1723760 + -32\/743. Does 0 = x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 992350340 to the nearest integer?\nAnswer: 31502","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -475346, -475350, -475364, -475394, -475446, -475526, -475640?\n\"Answer: -h**3 + h**2 - 475346","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3633.261 decades in years?\nAnswer: 36332.61","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -37*o**3 + 72*o**3 - 33*o**3 - 23*o in the form m + x*o**3 + t*o**2 + f*o and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - o + 2 + (-o - 2*o + 4*o)*(-3 + 0 + 0))*(0*o + o**2 + 0*o)*(1 - 2 + 2).\nAnswer: -4*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -232*l + 519. What is the tens digit of c(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**2 + 1447*r - 41306. Determine i(28).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-96) + (2\/(-2))\/(-6)\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6059 + 11982. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 6 + 1)*(-22*q + 17*q + 20*q)*(-3 + 3 - 1)*(-4 - 2*q**2 + 4 + (2 - 3 - 1)*(q + 2*q**2 - q) + q**2 - q + q).\nAnswer: 225*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**3 + 45*n**2 + 505*n + 206. What is t(-19)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18462 and 1629?\nAnswer: 55386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*y - 5*y**2 - 15*y + 14*y wrt y?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 4*a - 11. Suppose -3*k + 4*z - 643 = 0, -2*k - 2*z - 637 = k. Let s = -209 - k. What is v(s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 3*u - 5*p, p = 2*u + 129 - 130. Solve 4*o + 6 = -u*z, 5*z + 5 = 2*z - 2*o for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_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: Is 12978690 a multiple of 145?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in three eighths of a kilogram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3, 0.4, 7, 175, -1\/19, -3\/4, -2\/3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the first derivative of -16*m**7\/7 - 8*m**6 + 462*m**3 + 2119. Find the third derivative of g(s) wrt s.\nAnswer: -1920*s**3 - 2880*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**4\/7 - 108*t**3\/7 + 858*t**2\/7 + 2052*t\/7 + 1083\/7.\nAnswer: 3*(t - 19)**2*(t + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -16? (a) 4 (b) 1 (c) -0.2 (d) -5\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 127 + -154. Let h(t) = t**3 + 29*t**2 + 54*t + 4. Let m be h(r). Solve 3*a = 5*c - 9, m*a - 2 + 0 = 2*c for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qeeeeeeeeeeeqeqqeqq. Give prob of sequence qqq.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 122 = -154. What is the lowest common multiple of 36 and (v + 12)*(30\/4)\/5?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 565672066 to the nearest integer?\nAnswer: 827","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 14437439 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 4*c**2 - 41*c - 2163. Let n(a) = 2*a**2 - 25*a - 1082. Calculate -5*n(p) + 3*s(p).\nAnswer: 2*p**2 + 2*p - 1079","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1829 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -184*n - 133 = 722 - 119 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 398 is divided by 15?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 6247307 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*13\/(-3)*11352\/(-3784)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*g**3 - 2*g**3 - 5*g**3 + (g + 2*g - 4*g)*(-540*g + 540*g - 15*g**2).\nAnswer: 13*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27726 divided by 6.\nAnswer: -4621","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 76 and 60306.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2655?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2593, -2614, -2637, -2662?\nAnswer: -2689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 133, -5, -4, -2, 0, -3 in descending order.\nAnswer: 133, 0, -2, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*m = -112 + 118 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(343) - (sqrt(343) + (sqrt(343) + 0)*6)) + 4.\nAnswer: -42*sqrt(7) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 372 is divided by 32.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15654 + 12*h**2 + 15654 - 6938*h.\nAnswer: 12*h**2 - 6938*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-45)\/30 - 46\/(-4). Let p(y) = 32 - 13 - s + y - 15. Give p(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0*(-2 + (-3)\/(-1)). Let o(g) be the second derivative of -1\/90*g**5 + 0*g**2 - 3*g - 1\/27*g**3 - 1\/27*g**4 + h. Suppose o(k) = 0. Calculate k.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11)\/((-44)\/6)*((-37352)\/42)\/(-29).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 469.3 + 170.1. Let r = l + -641. What is the fourth biggest value in -0.2, 4, 4\/9, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the third derivative of 127*h**6\/120 + 8*h**5\/15 - 189*h**2. Find the third derivative of f(a) wrt a.\nAnswer: 762","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 43 = -19*d, 2*d - 10 - 12 = 3*d - 5*d - 34 for r.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:25 AM and 7:01 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 22 - 12 + 14 + 3*y**2 - y**2 as b*y**2 + j + d*y and give j.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -61\/33 - -5\/3. Which is the smallest value? (a) 2\/7 (b) -4 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + 2 + (62 - 47) - 36.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * -375742.\nAnswer: -1878710","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 1839*g**2. Let o(x) = -2*x. Determine k(o(y)).\nAnswer: 7356*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 162 is divided by 21?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.019968 rounded to three dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-b + 0*b + 3*b)*(3 + 3 - 4) + b - 2*b + 0*b + 0 - 2*b + 0 - 2 + 2 - b + (0 - 2 + 0)*(-2 + 2 + b) - 7*b + 2*b + b as f + d*b and give d.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 985317061.\nAnswer: 1571, 627191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 2 l when three letters picked without replacement from lnllllnllllnlll.\nAnswer: 198\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7454238?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 208669219?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32380586*z**3 + 32380580*z**3 - 64761167*z**3.\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**2 - 46*n + 9. Let b be o(46). Solve -b*x - 149 = -95 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 + 5\/2)*(-16 + 14). Let t(a) = -a**3 + a**2 - 1. Let f(u) = -u**3 + 7*u**2 - 5. Give p*f(s) + 3*t(s).\nAnswer: -2*s**3 - 4*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16\/120 - 655940\/(-75)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39970215 divided by -150831?\nAnswer: -265","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/(-3 - 0 - -2). Suppose -23*s + 28*s - 390 = h. Suppose l - s = -48. What are the prime factors of l?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1065686 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: Suppose 6*i = 8*i. Suppose i = -0*m - 7*m. Suppose -h = m, 5*d + 6*h = 3*h + 200. Is d a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3 + 147*q - 147*q - 166*q**2 - 71*q**2 - 146 wrt q.\nAnswer: -474*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6928?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 77*i**3 - i**2 + 1 + i**2. Let l be w(1). Let q = l - 55. What are the prime factors of q?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 76, 0, -3, 2, 9, -2 in descending order.\nAnswer: 76, 9, 2, 0, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12131012 and 186006.\nAnswer: 2138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/14003964 and 87\/22.\nAnswer: 154043604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -29b79 (base 13) to base 6.\nAnswer: -1405022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7592, 1617, -4358, -10333?\nAnswer: -16308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + (2 - (15 + -13)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 28144754?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/5, 1\/6, 0.33, 4, -2, 117?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(-4)*(-160)\/(-1200).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 890*a + 8901. Give v(-10).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1, -364, -0.4, 63\/2?\nAnswer: -364","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**3\/o**4)\/(((o**(4\/3)*o)\/o)\/o*(o**(-5)\/o)\/o) assuming o is positive.\nAnswer: o**(17\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(2\/23))**(-24) assuming z is positive.\nAnswer: z**(-48\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -302121122303 - 2?\nAnswer: -302121122311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 11*v**3 + 2*v**2 - 5*v + 5. Let z(n) be the third derivative of -17*n**6\/120 - n**5\/20 + n**4\/3 - 4*n**3\/3 + 105*n**2. What is -8*d(j) - 5*z(j)?\nAnswer: -3*j**3 - j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dsz when three letters picked without replacement from gszzegzedzezzzzdp?\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -191 (base 15) to base 4\nAnswer: -11221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8969009 less than 216.08?\nAnswer: -8968792.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bxb when three letters picked without replacement from {r: 4, z: 1, x: 1, b: 2}?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -33.001 + 0.001. Sort -2, r, 0.4.\nAnswer: r, -2, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**3 + 12*d**2 + 13*d + 26. Let g be -2*(-44)\/16*-2. Suppose 0 = -0*x - x + 8. What is the least common multiple of p(g) and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 34 + -30. Let p = 0.079 - -0.021. Sort -3\/4, b, p, 1\/3 in decreasing order.\nAnswer: b, 1\/3, p, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the third derivative of -z**7\/735 - z**6\/210 + z**4\/42 + z**3\/21 - z**2. Factor r(s).\nAnswer: -2*(s - 1)*(s + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20780718691 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -159 divided by -9883\nAnswer: 159\/9883","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 27552697 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -24064*n + 1316. Let m(f) = 183*f - 10. What is -5*g(i) - 658*m(i)?\nAnswer: -94*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = z + 4 + 5, -4*z - 3*y = 21. Let d = -5 - z. Let x(b) = b**3 + 3*b**2 - 2. Determine x(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:01 AM and 11:28 AM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.243 - 2.38. Let n = -41561.1630118 + 41561.3. Let c = n + m. What is c rounded to 6 decimal places?\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 117668 - 117668. Let k be (1 - -1) + (-159)\/77. Is s at most as big as k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-20))\/(3\/15).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 10, m: 4}. What is prob of sequence maa?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -v**4\/5 + 37*v**3\/5 + 339*v**2\/5 - 3613*v\/5 + 1118 = 0.\nAnswer: -13, 2, 5, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**3 + 13*c**2 + 11*c - 8. Let f be k(-12). Let h be f\/(-14) + 2 + 24\/(-14). Solve h = -5*r - 0*r + 20 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**2 + 2*s + 3. Let o be p(3). List the prime factors of (-3 - o) + 15\/3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2003888, 5, 2.\nAnswer: -2003888, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -107 + 557 + 70 = 26*q. Let t(b) = 4*b + 8. Let p be t(-6). Let z = 26 + p. What is the highest common factor of z and q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10011 (base 2) in base 13?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u + 5. Let f be (1 - 9\/15) + 167\/(-5). Let d = f - -33. Determine r(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/5 (b) -2 (c) 44.9 (d) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 86*h + 584 - 1228 + 601.\nAnswer: 86*h - 43","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2)\/(-17) - 1754628\/(-1241).\nAnswer: 2, 7, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 43494, -2, -5 in descending order.\nAnswer: 43494, 4, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -402 - -366. Let g = s + 619. Calculate the highest common divisor of g and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.6 - -2. Let f be 16\/3 + (-1)\/3. Put g, f, 0.5 in decreasing order.\nAnswer: f, 0.5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4 + (3 - 2)*0. Suppose 0*u - 36 = -q*u. Suppose -3*h + u = -0*h. Solve -h*j - 2*p = 3 - 5, 4*p = -2*j - 12 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1993.3 + 1992.8. What is the smallest value in -0.1, -2\/1371, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:44 PM and 9:29 PM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 328141 (base 11) to base 13\nAnswer: 15421c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*g**4 + 0*g**2 + 0*g**2 - 2*g**4 + 0*g**4 + 4*g**4 + (-g**2 + 6*g**2 - 4*g**2)*(2*g**2 - 5 + 5) + (100*g**2 - 414*g**2 - 58*g**2)*(2 - g**2 - 2).\nAnswer: 374*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 34558*d*y + 1172874*d + 14*y wrt y.\nAnswer: 34558*d + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 2*i - 1097, -3*i - 3*q - 1048 = -2671. Solve 547 = z + i for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - 1. Suppose 0 = 3*h + 11*h + 126. What is the nearest to h in w, -2\/5, -0.2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a kilometer in meters?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00598889 to five dps.\nAnswer: 0.00599","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from {m: 3, w: 3}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -75\/88 and (-6)\/(-22)*(-13209)\/5712?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 46628 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j + 40. Determine i(-9).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 132459793 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes after 6:04 PM?\nAnswer: 1:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1729782 is divided by 16.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 2*r - 7. Let u(g) = -g**3 + 8*g**2 + 7*g - 7. What is the tens digit of u(r)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 12 + 40?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*(8 - 5)*-2)\/(4 - (-702)\/(-189)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 208824 and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z - 3. Let p(l) = -2*l - 7. Let u(i) = 2*i**3 + 3*i**2 + i + 2. Let m be u(-2). Calculate m*p(v) + 9*k(v).\nAnswer: -v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 823627235.\nAnswer: 5, 151, 1090897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.042 + -5.042. Let p = b + 3. What is the smallest value in p, 3, -1\/6?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x - x + x)*(2 - 2*x - 2) - 5*x**2 + 4*x**2 + 7*x**2.\nAnswer: 8*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 8, u: 2, j: 4}. What is prob of picking 2 u and 1 j?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**2 - 3*u + 3. Let f be c(3). Suppose 3*w = -f, -5*w = 4*t - 14 - 29. What is the least common multiple of 5 and t?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1126787 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**3 + 5*m**2 + 2*m - 5. Let v(p) = p**3 - 8*p**2 - 9*p + 16. Let u be v(9). Let b = u + -20. What is w(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n**4\/2 + 4222987*n**3\/10 + 445858849497*n**2\/5 + 1551463815242*n + 606318069940 = 0. Calculate n.\nAnswer: -422290, -17, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9 - -11. Suppose l + 9 = -b. Let t(y) = 8*y - 7. Let g(j) = 15*j - 13. What is l*t(k) + 6*g(k)?\nAnswer: 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 2543112*n**2 - 847692*n - 4 = 0.\nAnswer: -1\/211926, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - -6. Suppose 5*l - 8 = -0*m + 2*m, -4*l - 4 = m. Solve -2*r - 10 = -i*k - l*r, k - 2 = -4*r for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/8*80\/(-140))\/(-1)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 + 8. Let c be l\/15 - 8\/18. Which is bigger: c or -1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 169547.6 nanograms?\nAnswer: 169.5476","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 9*((-40)\/(-12) + -3). Factor u**2 + 1\/3 - u - 1\/3*u**n.\nAnswer: -(u - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 3 + 1)*(-426 - 552 + 380)*(1 - 1 + 2*b) to the form t*b + r and give t.\nAnswer: 2392","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -371*y - 2552*y + 707*y as o + k*y and give k.\nAnswer: -2216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1260026966 to the power of 1\/2, to the nearest integer?\nAnswer: 35497","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 225?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 7\/258?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-10))\/(8\/32)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -303756 (base 9) to base 15.\nAnswer: -384bc","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.85 + 4. Which is the nearest to 0.1? (a) o (b) -2 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/7 - 5285\/980. Let a = -15 - -10. Sort a, j, 5.\nAnswer: j, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.013, 3, 60, -0.4?\nAnswer: 60","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1835.\nAnswer: 5, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*f - 5. Solve -u = -4*i - 11, -f*i - 5*u = -2*u + 23 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes before 3:31 PM?\nAnswer: 10:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/354 and 49\/295?\nAnswer: 1770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the first derivative of -2*o**3 + 7*o**2\/2 - 6*o - 18. Let i(q) = -5*q**2 + 6*q - 5. What is 4*g(h) - 5*i(h)?\nAnswer: h**2 - 2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -812377.3+744.195\nAnswer: -811633.105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-784)\/3528*(1287\/(-44))\/(-13).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -39 + 74. Does 12 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -39 + 22 + 21 - 20*y**4 + (4*y**3 + 2*y**3 - 5*y**3)*(27 + 11*y - 27).\nAnswer: -9*y**4 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 130844?\nAnswer: 2, 7, 4673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32282?\nAnswer: 2, 16141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10 - -17. Let h(q) = 2*q**2 - 12*q + 3. Let g(w) = -w. Let a(u) = -2*g(u) + h(u). List the prime factors of a(r).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 7 = -4*s, -3*s + 10 = -h + 1. Suppose c - q + 2 = 0, c - 39 = 4*q - 44. Put s, -7, -2, c in descending order.\nAnswer: s, c, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 896*q = 518*q + 3336 + 1200 for q.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3 + (6 - 4 - 3). Let t be 0 - (2 + y) - -2. Let l(u) = u**2 - 3*u + 2. Calculate l(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**3 + 86*p**2 - 424*p - 4379. Calculate i(80).\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 3a763b (base 15) to base 2\nAnswer: 1010101101111000111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 48, -4, -2, -228 in descending order.\nAnswer: 48, -1, -2, -4, -228","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -9, -207, -793, -1965, -3921?\n\"Answer: -33*k**3 + 4*k**2 + 21*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -617*u - 2828. Is v(-7) a multiple of 71?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 26 + -30. Let v be (0\/r)\/(12\/3). Suppose -5*j - u + 2 = v, -3*u - 11 = -2*j - 0*u. Solve -5*a + 5*p = 5, 4*a - 3 + j = -2*p for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -20, -5*v - 2*g - 1037 - 6028 = 0. Let a = 123 + -584. Let n = a - v. Round n to the nearest one hundred.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = 7*i - 139. Suppose -i - 72 = -8*r. Find the second derivative of 10*h + r*h - 9*h + 9*h**2 wrt h.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 708 - 1482. Let b = 1153 + w. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dtd when three letters picked without replacement from {l: 4, t: 1, z: 1, d: 5}?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ubbkmu. Give prob of picking 2 u.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*g**2 - 58*g**2 - 31*g**2)*(-2*g - 2 + 7*g - 12*g) as a*g**2 + b + f*g + k*g**3 and give a.\nAnswer: 172","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1117, 1115, 1113, 1111?\nAnswer: 1109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.12022 rounded to two decimal places?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 718194935 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -39 + 36 + (2 - -7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -5*a**3 + 13*a**2 - 6. Let w(x) = -11*x**3 + 27*x**2 - 13. Let c(q) = 13*f(q) - 6*w(q). Find the third derivative of c(s) wrt s.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 4*s = -20, 0 = -4*m + 4*s + 1 + 3. Suppose -m*t - 9 = 0, 27 = 2*a + 3*t - 2*t. What is the highest common factor of 60 and a?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87368595?\nAnswer: 3, 5, 5824573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -40*(112 + -110 + (-6)\/2)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89*l - 367 = 2192 + 734 for l.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 23 (base 8) to base 10\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**3 + 11*u**2 - 33*u + 15. Let p be a(5). Sort 3, p, -58 in decreasing order.\nAnswer: 3, p, -58","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1016955439 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 209 = 3*m, 2*d - 4*d - 5*m + 115 = 0. Suppose -4*j - 2*l + 35 = -25, -3*j + d = 4*l. Solve -6 = h - c, 2*h + 3*c = -3*h - j for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**2 - 10*o + 13. Let d be u(-11). Factor -3*q + 21*q**3 + 28*q**3 - 13*q**3 - 30*q**d + 3*q**5 + 12*q - 18*q**4.\nAnswer: 3*q*(q - 3)*(q - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 2*f**2 - 9*f - 263. Let s be h(14). Calculate the highest common factor of 669 and s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -412 + 1604 = 8*m. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 4410831349?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*f + 13*f - 1524*f**2 + 1613*f**2 to the form n*f**2 + x*f + w and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*k + 31*k + 2*k + 73494. What is the third smallest value in 2\/5, k, 0?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the first derivative of 7\/22*p**4 + 36\/11*p**2 + 20\/11*p**3 - 2 + 16\/11*p. Factor z(d).\nAnswer: 2*(d + 2)**2*(7*d + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -2*z**4\/7 + 2702492*z**3\/7 - 912930173762*z**2\/7 - 1825868455008*z\/7 - 912935578752\/7 = 0.\nAnswer: -1, 675624","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 2 c when four letters picked without replacement from {n: 3, c: 5, d: 4}?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6 - -106760?\nAnswer: 106766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-22))**47\/(c*c**(-24)*c*c**(-6)\/c*c*c) assuming c is positive.\nAnswer: c**(-1007)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**2. Let b(h) be the first derivative of 175*h**3\/3 - 20. Give b(n(k)).\nAnswer: 175*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -947 - 63*q**3 - 26*q**3 + 864 wrt q.\nAnswer: -267*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 21*i**2. Let j(k) = 53*k + 2. Calculate j(a(d)).\nAnswer: 1113*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-29 + 2*s - 8 + 18)*(4*s + s - 4*s).\nAnswer: 2*s**2 - 19*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.851323 greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c**(11\/3))\/c)**34\/(c**48*c*c*c**(2\/5)))**11 assuming c is positive.\nAnswer: c**(12254\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 1 g when three letters picked without replacement from gpksppkp?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-20)\/(-6)*(-150)\/(-125). Suppose -3*k - g - 2 = -2*l, 33 = 5*l - 3*k. Solve 5*o + 1 = 7*n - l*n, -o = n + 2 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f**3 + 16*f**2 + 6540*f - 6552 = 0. What is f?\nAnswer: -39, 1, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*g**3 - 26 + 28 + 21 + 10*g - 23.\nAnswer: -2*g**3 + 10*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.2 and -9132.\nAnswer: -9132.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 210340 - -889257. Suppose -4*v - 1060403 = n. Round v to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 - 1 - -4 - -3. Suppose 0 = m - 2*g - 22, -r*m - 4*g = g - 80. Let q = -10 - -16. Calculate the highest common factor of m and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the second derivative of i**6\/6 + i**4\/6 - i. Find the third derivative of d(h) wrt h.\nAnswer: 120*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32860 divided by 3286\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -59.24 and -18.1.\nAnswer: 1072.244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, -0.294, -25, -1579?\nAnswer: -1579","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 - -9. Suppose 0*a - 4*a + 27 = 3*p, 5*p = v*a + 19. Solve 4 - 7*q**p - 31*q**4 - 29*q**4 - 40*q**2 - 9*q**5 - 80*q**3 = 0.\nAnswer: -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2*-1*(-2)\/12. What is the biggest value in i, 3, -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 99548069 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 41 and 1681?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**2 + 8*n + 6. Let w be d(-8). Suppose -37*o + 42*o = -5. What is the tens digit of (-29*w\/(-3) - 2) + o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - 12834*k - 15 = -12830*k - 42, 25 = -3*w + 4*k for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + -7 - (2 + -9).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 409053?\nAnswer: 3, 136351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1349582?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b**2 - 2*b**2 + 6*b**2)*(-b - 4*b + 3*b) - 2*b - 10*b**3 + 2*b + 12*b**3 + 2*b**3 + b**3.\nAnswer: -3*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**2 + 4*g - 53. Let s be w(-10). Find the third derivative of -16*l**3 - 7*l**3 + 0*l**2 - s*l**2 - 19*l**2 wrt l.\nAnswer: -138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 858 + -716. Suppose -110 = 26*p - 36*p. Calculate the remainder when r is divided by p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 13 = -3*o, 0*n = -3*n - o - 11. Let y = -8 - -15. What is the common denominator of (6\/n)\/((-12)\/y) and -151\/6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1498, 1489, 1480, 1471, 1462, 1453?\nAnswer: 1444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 4*z = -177135. Let o = 4164 + -18591. Let f = o - z. What is f rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -865*b + 1051*b - 5580 = 0 for b.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 141610859 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 410667334?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h = -5*f - 20, 5*f - 75 = -39*h + 18*h for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2509*j - 42*j = -24190 + 8630 - 21445 for j.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 666975 (base 10) in base 7?\nAnswer: 5445351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 465287 * -0.2\nAnswer: -93057.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 569*(-4)\/84 + (-245 - -272)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/70)\/(180\/(-225))\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -110*b + 2. Let j(h) be the third derivative of h**5\/60 + 7*h**3\/3 + 77*h**2 + 1. Let y(i) be the first derivative of j(i). Calculate y(s(k)).\nAnswer: -220*k + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7966 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 5, -2, 2\/907?\nAnswer: 2\/907","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/18 and (6 - 7) + 285\/(-54)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 7 - 45*q**3 - 70*q**3.\nAnswer: -115*q**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 58\/(-8) + 2\/8. Let z = w + 9. Find y, given that -8\/9*y**z - 2\/9 - 8\/9*y = 0.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1.2, -1\/22, -3, -1\/2, 0 in descending order.\nAnswer: 1, 0, -1\/22, -1\/2, -1.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(14)\/(sqrt(2) - -1*sqrt(2)*4)*-2 + (1*sqrt(6048) + sqrt(6048))\/(sqrt(42)\/(sqrt(21)\/sqrt(3))) + -3.\nAnswer: -3 + 118*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7316 + -7285. Calculate the remainder when 513 is divided by u.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2d9c (base 16) in base 15?\nAnswer: -36d6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 1372*m - 25 = 1371*m, -15 = 3*s - 10*m for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2789667.\nAnswer: 3, 277, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/36)\/1*(-960)\/48?\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1232132.\nAnswer: 2, 11, 41, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 609?\nAnswer: 3, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/((b*b**4)\/b))\/(b\/b**(-10\/3)))\/(b**14*b\/(b\/(b\/(b\/b**(1\/4))*b*b))) assuming b is positive.\nAnswer: b**(-283\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 7623577 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uupuewjpuee. Give prob of picking 1 j and 1 w.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 55*y + 280. What is q(-6)?\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (25\/(-5))\/(18\/(-3)).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*a**5 - a**5 - 2*a**5 + (-a**4 + a - a)*(-3*a - 2*a + 3*a) + (2*a**5 - a**3 + a**3)*(0 + 0 - 1).\nAnswer: -5*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4891 and 584?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 2*-0.0317766\nAnswer: -0.0635532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 2*z + 21. Let f be k(-11). Let p(h) = 3*h**4 - 15. Let c(d) = -d**4. Let v(y) = f*p(y) + 3*c(y). What is the derivative of v(a) wrt a?\nAnswer: -24*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.3317 to 1 decimal place.\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -1817*a**2 + 1. Let o(d) = -4*d**2. Calculate m(o(f)).\nAnswer: -29072*f**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*n + 6*n - 276. List the prime factors of (n\/6)\/((-14)\/(-546)).\nAnswer: 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 9*a = 11*a + 215, -2*p - a + 395 = 0. Sort 14, -5, p.\nAnswer: -5, 14, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8821 (base 9) in base 5?\nAnswer: -201444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 25*s**3 + 2*s**2 - 2*s. Let k(o) = 777*o**3 + 63*o**2 - 63*o. Determine -126*d(q) + 4*k(q).\nAnswer: -42*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 79 divide 1063?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s**3 + 2*s - 2*s)*(-4 + 1 + 2)*(-10 + 1 + 1) + (-3*s**2 + 3*s**2 - s**3)*(3 - 6 + 2).\nAnswer: 9*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the second derivative of j**4 - 358*j. Let q(t) = 6*t**2 + 4. Determine d(q(a)).\nAnswer: 432*a**4 + 576*a**2 + 192","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j. Let h be (1 + 0)\/(-2 + 39\/18). Let d(f) = f - h*f + 14*f - 2 - f. Let s be (-2 - 1)*(-7)\/(-21). Give s*d(n) + 6*k(n).\nAnswer: -2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 6*w**3 - 3*w**2 - 7*w + 1. What is f(-2)?\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -26*f**4 - 1 + 31*f**4 - 4*f**2 - 21*f**4 - f to the form h*f + r*f**4 + g*f**2 + k*f**3 + m and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*g**5 + 14*g**4 + 144*g**2 - 36159*g wrt g.\nAnswer: -40*g**3 + 168*g**2 + 288","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 2 - -45*10\/(-75)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are 43 and 45 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*y**3*z - 46746*y**2*z**2 + 352114*z**2 wrt y?\nAnswer: -6*y**2*z - 93492*y*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/4)\/(33\/22).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 46 = -n - u, 5*n + 2*u = 302. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 385492117 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.9285 to 2 dps.\nAnswer: 5.93","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 + 427?\nAnswer: 42a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 3 + 39 = -4*q, -3*q + 3*v = 27. Let t = q - -15. Calculate the lowest common multiple of t and 20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2127\/152, -2\/5, -0.33 in increasing order.\nAnswer: -2\/5, -0.33, 2127\/152","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -21 - -17. Suppose 0 = -5*q + 34 - 9. What is the nearest to q in 3\/4, z, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 180409037 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2793, -2794, -2795, -2796, -2797, -2798?\n\"Answer: -y - 2792","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 5*h + 85 = 0, 0 = -2*v + 3*h - 22 - 10. Let i = -6 - v. Calculate the remainder when 50 is divided by i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g + 60 - 8. Let b(a) = g*a + 31 - 12*a - 2. Is 6 a factor of b(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**2 - 15*l + 158. Let u be v(-22). Let r(o) = -6*o**2 - 2 + 4*o - 2*o + o**3 - 5. Let f be r(6). Solve 0*j + j - f*k = -4, -u*j = -2*k + 16 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n**5 - 8340*n**4 + 8744346*n**3 - 104033160*n**2 + 311201352*n = 0 for n.\nAnswer: 0, 6, 2079","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -145\/548 - -2\/137. Let n = 30 - 34. Let y = 100.9 + -98.9. Which is the nearest to y? (a) -0.4 (b) u (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4*1*28\/(-8). Let n = r - -16. Calculate the smallest common multiple of 11 and n.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 24 = 8*w. What is the hundreds digit of ((-4)\/w)\/(8\/2964)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - (-6 + 9) - 2 - -10) + 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, x: 1, p: 3}. Give prob of picking 2 p and 1 u.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.1087 - 0.0087. Suppose -10 = y - 2*y. What is the third smallest value in -5, y, l?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 781 and 74210194.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 11*x. Suppose -30 = -33*q + 27*q. Let s(m) = 8*m. Let b(u) = q*f(u) - 7*s(u). Determine b(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 97 + -102 - (-1 - 6).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 17 = -3. Let v(x) = x**2 + 4*x + 6. What are the prime factors of v(p)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -28 + 84. Suppose -4*t = -4*j - d, 70 = 5*t + 3*j - 40. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -200 (b) 0 (c) 5 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes after 12:35 PM?\nAnswer: 2:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(2\/7)\/v)\/v*v\/(v*v\/((((v\/v**(-4\/7)*v*v*v)\/v)\/v)\/v)))\/(v**0*v)**(-9\/4)*(v\/v**1)**(8\/7)*v\/v**4*v**(-7)*v assuming v is positive.\nAnswer: v**(-221\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-296012)\/(-2220090))\/((4\/(-10))\/((-18)\/10)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -58 + 120267\/2075 - (-38)\/(-50)\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -444.6 - -446. What is the closest to 0.03 in f, 3\/5, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, 3, -4, -0.5, -13\/3, -7, -35?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1495909589?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(2\/25))\/(q**2*q))**(25\/2) assuming q is positive.\nAnswer: q**(-24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1166*x = 1165*x - 6, 4*a + 2*x = -20 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4819 is divided by 156.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -1294 to the nearest 100.\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.0208+419\nAnswer: 418.9792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8386345 to the nearest integer?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20 + -201011201000020?\nAnswer: -201011201000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 298*l - 244*l = 324 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -150495, 5, 93?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:27 AM and 12:10 PM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 >= 2\/58895075?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 103339 and 46?\nAnswer: 206678","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -3*(-3 + (sqrt(242) + 2 - sqrt(242)) + sqrt(242) + sqrt(242) + -1)**2 + (3*(sqrt(242) - (sqrt(242) + 1)*6)*2)**2.\nAnswer: 24024*sqrt(2) + 216179","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**2 - 7*t - 4. Let d(i) = -5*i - 1. Let p be d(1). Let k be q(p). Suppose -7*h = -k*h. Solve 8 = -2*o - h*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (46\/161)\/((-1)\/21). What is the hundreds digit of (0 + 499 - s) + -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.116, -0.1, 8, -1\/2, -5 in decreasing order.\nAnswer: 8, 0.116, -0.1, -1\/2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 15 = 24. Let h(a) = a - 13 + b. Let o(n) = -2*n. Determine o(h(u)).\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 12*j - 42. Let o be z(4). Is ((-225)\/o)\/(-1)*(-20)\/(-3) a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.009754487 to five dps.\nAnswer: -0.00975","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 2*b**3 - 53*b**2 + 3*b - 839. Give f(27).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29151 = 136*x + 575*x for x.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b + 10. Let f be l(7). Suppose 0 = -5*u - f + 13. Suppose -u*q - 8 = x + q, 2*q - 4 = -3*x. What is the least common multiple of x and 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (46 - -33) + -169 + (0 - 29).\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 0 - (-1 + 3 - 5)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -50868 + 72377. Is 41 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (750\/(-700))\/(-7*(-48)\/(-196)).\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 0 + 1)*(0 + 3*j + 0) + (0 - 4 - 7)*(106 - 106 - 17*j))*(-j + 0 + 0).\nAnswer: -190*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 125839844?\nAnswer: 2, 13, 43, 167, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 62639 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((-5 + 6*sqrt(16)\/sqrt(8))**2 - (sqrt(648)*-4)\/sqrt(9)).\nAnswer: -36*sqrt(2) + 97","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.264448 - -0.10341. Let f = 0.12106 + c. Let x = f - -0.04. Round x to five dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14240381 and 83214?\nAnswer: 1541","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**1)**(-3))**(1\/11) assuming i is positive.\nAnswer: i**(-3\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -2*t**2 + 2*t + 112. Calculate g(0).\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the third derivative of -m**4\/24 + m**3\/2 - 4*m**2. Let a be o(2). What is the tens digit of (11 - -8) + (2 - a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-29 - (-24 + -11)) + (-15 - 2 - 0)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-3612)\/133)\/(-2) + -11. Is 3 != x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p when three letters picked without replacement from {f: 2, p: 9}.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -f - 6, 6028*b + 158 = 6033*b + f - 29*f for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 300, 595, 888, 1179?\n\"Answer: -x**2 + 298*x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4 - -3) + ((-70)\/(-18))\/5. Let x be 7 + 1 + (0 - 2). Let r(y) = y**2 - 6*y - 1. Let g be r(x). What is the second biggest value in s, -0.2, g?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -105, -215, -2\/29?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the third derivative of -32*g**5\/3 + 303*g**3\/2 - 63*g**2 + 2*g. Differentiate w(z) wrt z.\nAnswer: -1280*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 891 is divided by 540.\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -145*v. Let f(i) = -2*i + 6. Let z(c) = -c + 2. Suppose -20*y = -136 + 76. Let r(w) = y*z(w) - f(w). Calculate x(r(j)).\nAnswer: 145*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmf when three letters picked without replacement from {m: 2, i: 2, p: 2, f: 1, c: 1}?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -5*x**3 + 14*x**2 - 20*x - 9. Let d(n) = n**3 - 3*n**2 + 4*n + 2. Let g(p) = 11*d(p) + 2*l(p). Let k be g(4). Does 9 divide ((-6)\/k)\/((-6)\/88)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.1889 (b) -0.5 (c) -0.0504 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 3*s**2 + 3*s - 4. Let z = 1 + -5. What is the remainder when q(z) is divided by (-1)\/((-657)\/162 - 8\/(-2))?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the second derivative of -z**8\/28 + 65*z**5\/4 - 17*z**4\/12 + 2*z**3\/3 - 661*z. What is the third derivative of p(o) wrt o?\nAnswer: -240*o**3 + 1950","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*o**2 - 7*o**2 + 3*o**2 - 7*o**2 + 12*o**2 + 6*o**2.\nAnswer: 12*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*i - 3*h - 11 = 54*i, 25 = -5*h for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the second derivative of -p**4\/12 - 5*p**3\/6 - p**2 - 4*p. Let d be n(-2). Solve -9 = -t - d for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 0 + (5 + -4 - -2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, 0.2, 6, -447?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-220)\/(-616)*120\/50.\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (2 - (2 + 1))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5)\/(-40)*-3 - 0. Let u = 111 - 116. Sort 6, d, u in decreasing order.\nAnswer: 6, d, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/(360\/(-16)))\/((-36)\/(-30)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**3. Let o = -64 + 67. Let l(c) = -o*c**3 + 7*c**3 + 0*c**3. Determine -6*l(w) - 22*v(w).\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/1755657 and 41\/82136.\nAnswer: 14045256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6*k*o**2*q**2 - 5*k*o**2 - 2*k*q**3 - 2*o**2*q**3 + 204*o**2 + q**2 wrt k?\nAnswer: -6*o**2*q**2 - 5*o**2 - 2*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a centimeter in micrometers?\nAnswer: 1000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 n when two letters picked without replacement from {s: 2, n: 1, z: 6, w: 2, p: 3}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 34*k**2 + 6*k + 785. Let z(l) = 96*l**2 + 17*l + 2355. Determine -17*f(p) + 6*z(p).\nAnswer: -2*p**2 + 785","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/(t\/(t*t*t*t**(2\/13)))*t**(-1\/6))**48 assuming t is positive.\nAnswer: t**(2488\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than -2906?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -113+-6.269\nAnswer: -119.269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 40 and 243272664?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3731 + -aa5?\nAnswer: 2c8c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 94774.\nAnswer: 2, 47387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the third derivative of 0*f**7 - 1\/360*f**6 + 0*f + 0*f**5 + 7*f**2 + 0*f**4 + 0*f**3 + 1\/1008*f**8 + 0. Determine g, given that w(g) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the second derivative of -k**7\/1260 - k**6\/360 + k**5\/40 + 77*k**4\/6 - k + 12. Let t(j) be the third derivative of z(j). Give t(2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 525 and 2625?\nAnswer: 2625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26315 + 6*h - 26315.\nAnswer: 6*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -2*c**2 + 19*c - 34. Let k be n(8). Let b(u) = u**2 + 10*u - 12. Calculate b(k).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from frrar. What is prob of sequence farr?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((sqrt(396) - (1 + sqrt(396))) + -2))**2.\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3577 + 14184. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 6*j + 53. Let x be f(-9). Which is the closest to x? (a) 9 (b) 0 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -326643, -653250, -979875, -1306524, -1633203, -1959918, -2286675?\n\"Answer: -q**3 - 3*q**2 - 326591*q - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(-18)\/84*2*-7.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/4, 1951\/6, -9, 2, -2.\nAnswer: -9, -2, -5\/4, 2, 1951\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5989478.\nAnswer: 2, 11, 272249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 830 and 6902695.\nAnswer: 415","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.33756 + -0.3621. Round d to two decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/8*48\/9. Suppose -5*l = v*c - 22176, 7*l = -2*c + 2*l + 11088. Suppose 10*w + c = 4*w. Round w to the nearest one hundred.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, 15, -6, 1, 37.\nAnswer: -6, -5, 1, 3, 15, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -254 = -6*i + 250. Let d = 95 - i. Calculate the greatest common divisor of 99 and d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {n: 10, f: 10}.\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 39*p**3 - 453 + 453 + (2*p - 2*p**3 - 2*p)*(1 + 2 - 5) + p**3 - 4*p**3 + p**3.\nAnswer: 41*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*i**4 + 12378*i**3 - 644*i**2 - 61.\nAnswer: -72*i + 74268","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -12*a. Let b(d) = -1136172*d. Determine b(g(p)).\nAnswer: 13634064*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1239 and 41241.\nAnswer: 288687","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 4\/3 of a millennium?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 53, 2\/13, 4?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + (-7 + -6 - -34).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2218972\/35308 + 3\/((-78)\/(-4)). Calculate the greatest common divisor of w and 2177.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a millennium in centuries?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 97136150 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -144 = 87*l + 291 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/6, -64, -0.3, -3, -1 in increasing order.\nAnswer: -64, -3, -1, -0.3, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63877073.\nAnswer: 13, 4913621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**2 + 3*g - 2. Let f be k(-4). Suppose -f*c - 3*c = 70. Let d be ((-8)\/(-14))\/((-12)\/c). What is the second biggest value in d, -4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1908 - 1907.99993449. Round j to 5 decimal places.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 + -2 - ((2 - 2) + 5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:18 PM and 3:47 PM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*q*u**2*v*y + 7*q*u**2 - 10*q*u*v*y + 7*q*u*y + 2*q*v + 5*u**2*y wrt u.\nAnswer: -10*q*v*y + 14*q + 10*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*s - 17*s + 3*s)*(0 - 1 + 2)*(4*s - s + 5*s + (30*s - s + 3*s)*(4 - 1 - 2)).\nAnswer: -760*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.5 - 1. Let p = 128 + -107. Let m = 15 - p. Put n, m, -1 in decreasing order.\nAnswer: n, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1100) + 1 + 0 + sqrt(1100) - (2 + sqrt(1100) + 1) - (0 + sqrt(1100))*-3*-3)**2.\nAnswer: 320*sqrt(11) + 70404","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 952\/9 - 106. Suppose -4*i + 8 = o, 2*i = -3*o - 3 - 3. Which is the second smallest value? (a) o (b) 4 (c) k (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14756.982362 - 14757. Round c to 4 decimal places.\nAnswer: -0.0176","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 12, k: 3, m: 1, r: 4}. What is prob of picking 2 r?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*y + 24 = -20*y. Suppose -2*s = -2*i - 58, 3*s + 3*i = 91 - y. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -18500912*f. Let n(u) = -u**2. Give n(g(o)).\nAnswer: -342283744831744*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 55 + 6 - (8 - 6 - (-11 + 4))?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**3 - 15*k**2 + 7*k - 4. Let p be m(13). Let o = p + 255. Let 8*a**o + 2\/7*a**3 + 0*a - 4\/7*a**2 + 0 = 0. Calculate a.\nAnswer: -2\/7, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, n: 9}. Give prob of sequence qn.\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 12\/21*14 - 65\/5. Put 2, 3, -6, 28, v in decreasing order.\nAnswer: 28, 3, 2, v, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7.8242*0.4\nAnswer: -3.12968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -856526 (base 9) in base 5?\nAnswer: -112310000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1621278811 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4944977 is divided by 72720.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 + 1764?\nAnswer: 1761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -925 - -947. What is the highest common factor of 121 and g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4315570675 to the power of 1\/3, to the nearest integer?\nAnswer: 1628","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 24000\/((4 - 3)\/30). Round o to the nearest one hundred thousand.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**2 - 4*f. Let a be k(4). Let q be 4 + a\/(-1) + 0. Suppose 32 + q = o + 5*v, -4*v - 18 = -o. Is o a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16.300268 + 16.3. What is r rounded to five decimal places?\nAnswer: -0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 168 and 924.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(209)*-1 + (sqrt(209) - -5*(sqrt(209) - 1*sqrt(209))))\/(sqrt(110)\/(sqrt(50)\/sqrt(5))*6).\nAnswer: sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**3 + 232*q**2 - 468*q + 2. Determine s(-234).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/4 - -1)\/((40 - -158)\/3366)?\nAnswer: 17\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-2)\/(l\/(l**(-1\/2)*l))*(l**(-2\/7))**(-11))**(-34))**(-29) assuming l is positive.\nAnswer: l**(4437\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 2*h**3 + 4*h**2 + 18*h + 8. Does 53 divide m(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:41 AM and 3:20 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9525438*i**2 - 9526362*i**2 + i**3 + 19051800*i**2.\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -30 + 1\/3*o**2 - 43\/3*o.\nAnswer: (o - 45)*(o + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the first derivative of -u**3\/3 + 7*u**2 + 7*u - 1. Let o be n(11). What is the greatest common divisor of o and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-74)\/(-7955) - 10788\/5458635?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -4*2\/(-16)*-10. What is the remainder when 23 - j - (2 + 0) is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -129272*g**2 - 49786 + 49786 - 5*g**3.\nAnswer: -5*g**3 - 129272*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2461 + 30211?\nAnswer: 25530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110011 - -100?\nAnswer: -101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 4*j = 46, c - 2*j + 42 = -3*c. Let k = c + 22. Does 6 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5100815.\nAnswer: 5, 1020163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 2*m + 3*m - 3*m. Let a(d) be the first derivative of -11*d**3\/6 + 38*d + 87. Let z(r) be the first derivative of a(r). Give z(l(t)).\nAnswer: -22*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzyz when four letters picked without replacement from {z: 6, y: 7}.\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 14 - 2*w - 10 + 16*w to the form u*w + n and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4 + 0\/(-1) + 1. Suppose 5 + 20 = q*s. Suppose -s*w + 51344 - 14354 = -5*y, w - 7404 = -2*y. Round w to the nearest one thousand.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17 - -21. What is the remainder when 11 is divided by a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -213? (a) -0.08 (b) -0.3 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 71809.5939763 - 71700.594. Let q = 109 - t. Round q to five decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1691?\nAnswer: 19, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:03 AM and 6:51 AM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -9*z + 7. Let q(m) = -2*m - 1. What is h(y) + 4*q(y)?\nAnswer: -17*y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 5365, 10742, 16131, 21526, 26921, 32310?\n\"Answer: -t**3 + 12*t**2 + 5348*t + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 68.9 - 2779.\nAnswer: -2710.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 204211 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p**2 + p - p + (-p - 5*p + 4*p)*(2*p - p - 3*p) + 2*p**2 + p**2 - 4*p**2 + 295*p + 9*p**2 - 295*p)*(-6*p + 60*p - 4*p).\nAnswer: 650*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16612940.\nAnswer: 2, 5, 29, 28643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0616 - 0.08.\nAnswer: -0.0184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7092, 14006, 20502, 26364, 31376, 35322?\nAnswer: 37986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-60)\/(-80) + (-11)\/12.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -27*h + 1. Let u be (-7 - (-3 - -1))*1. Let p be v(u). Suppose 4*t - p = -0*t. Does 17 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*a + 81*a - 4*n = 78, -4*a - 82 = 6*n for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9 and 19147014?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from paoooapoaaavooapu. Give prob of sequence paa.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -221*r**2 + 351*r**2 + 282*r**2 + 0*r + 0*r - r**2 + (-2*r - 2*r + 2*r)*(4 - 4 + r).\nAnswer: 409*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 139\/18 and -41\/1065.\nAnswer: 6390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -534 - -541. Calculate the lowest common multiple of t and 11.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 688027316 + -12516592979297\/18192. Let v = f - -1\/2274. Calculate the common denominator of 55\/4 and v.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**3\/7 + 74832*p**2 + 17173021716*p\/7 + 1541331896040\/7.\nAnswer: 4*(p + 90)*(p + 65433)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (183736\/(-118116))\/(-1*35).\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5644 = 38*o - 5150 for o.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**2 + 5*i + 3. Let m(q) = -4*q**3 + 19*q**2 + 7*q - 5. Let r be ((-48)\/(-36))\/(12\/45). Let d be m(r). Calculate k(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4829?\nAnswer: 11, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-26)\/52)\/((-2)\/488). Let b = 200 - o. Which is smaller: 81 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (707660\/28 - 6) + 69\/161?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -2*i**2. Let j(o) = -3913*o**2. What is k(j(g))?\nAnswer: -30623138*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3185\/169 - 1*12\/(-78)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -0*g. Suppose -t + 6*t - 10 = g. Suppose -t*w = 1 - 13. Calculate the least common multiple of w and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 70917 to the nearest integer?\nAnswer: 266","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 10\/(-12) + 12284013\/306 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -167*q + 2922 = -21627 for q.\nAnswer: 147","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2\/3 + 40*d\/3 + 77.\nAnswer: (d + 7)*(d + 33)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 114*s - 41*s - 51*s + 432 - 30*s - 432.\nAnswer: -8*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, q: 2}. What is prob of picking 2 q?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -5030613, -10061202, -15091791, -20122380, -25152969, -30183558?\n\"Answer: -5030589*x - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-20)\/(-90))\/((-2)\/6).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 352423.\nAnswer: 352423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -18*-1324\nAnswer: 23832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -57*w**2 - 646*w - 4533. Give q(-7).\nAnswer: -2804","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 60368904 and 67915017?\nAnswer: 543320136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*j - 11 + 11)*(8 - 1 - 1) + 2*j + 3 - 3.\nAnswer: 98*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 5*c - 182, 3*d - 5*c + 481 = -3*c. Let i = d + 157. Solve i = -h + 9*h - 8 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -137\/48 and -125\/336?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*o + 38*o = 12. Solve 0*z + o*z + 20 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15 + -30. Let m be (-17)\/k - (-1 - -2). Let o = 37.1 + -37. Put m, o, -1 in descending order.\nAnswer: m, o, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 23 + -20. Suppose -s + 37 = -c - 0*c, 0 = a*s + 4*c - 97. Let g = s - 35. Let b(d) = d**2 - 6. Calculate b(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -6910, -21404, -43478, -73132, -110366, -155180, -207574?\n\"Answer: -3790*n**2 - 3124*n + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h and 1 z when four letters picked without replacement from {q: 2, h: 4, z: 1, t: 6}?\nAnswer: 4\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*j - 3*j = -935. Suppose -47 = -6*p + j. What is the greatest common factor of 51 and p?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 653830 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**2 - 22*o + 44. Determine q(21).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide (-3 - (-22)\/6 - -7)*78?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1926819 + -0.178103.\nAnswer: -1926819.178103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the first derivative of -1433*j**3\/3 + 107*j**2\/2 + j - 2375. Find the second derivative of u(w) wrt w.\nAnswer: -2866","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 202707490?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 3*d**3 - 21*d**2 + 7*d - 1. What is u(7)?\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0003002 rounded to 5 dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 283 or 4797\/17?\nAnswer: 283","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -2*j - 60. Is j\/20*(-2206)\/(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -28 - 29 - 27 + 0*n**3 + 220*n**2 - n**3 + 87 in the form i*n + g*n**2 + h*n**3 + m and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 17475869?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 281 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-180)\/(-24) - (-4)\/8. Calculate the highest common factor of c and 376.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -5*u**2 + 10*u. Let j(p) = p**2. Calculate 6*j(n) + r(n).\nAnswer: n**2 + 10*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m + 1. Let i(x) = -x**2 - 29*x + 1. Let k(q) = -i(q) + 6*j(q). What is the remainder when 42 is divided by k(-24)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 4*s. Let g(j) = 2*j + 5. Let m be g(s). Solve 2*u = 6*u + x + 18, -m*u - 5*x - 15 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-400)\/40*(-1)\/2. Let p(w) = -69*w**3 - 24*w - 24. Let v(t) = 14*t**3 + 5*t + 5. Calculate b*p(s) + 24*v(s).\nAnswer: -9*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11577 + 27206. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**3 - 12*n**2 + 12*n - 9. Let r be w(11). Suppose 6*o - o = 105. What is the remainder when r*1\/(-2)*-41 is divided by o?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - 1 - -2 - 10?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.3, -12, -15, 1, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -232 - -449. Let g = p + 230. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3289655485?\nAnswer: 5, 13399, 49103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 6*g. Let d(x) = -3*x. Calculate 5*d(v) + 3*p(v).\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**0)**40)**(-1\/4)\/((a*a\/(a*a\/(a**(-1)*a)))**50)**(-34) assuming a is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -139, -3.\nAnswer: -139, -9, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 83.8 + -81.8. What is the smallest value in g, -136, -5?\nAnswer: -136","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -708 + -21.51774013.\nAnswer: -729.51774013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14 - 7) + -4 - 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(273) + (-2*sqrt(273) + sqrt(273) - sqrt(273)))\/sqrt(7) - sqrt(117)\/sqrt(27))\/((sqrt(108) - sqrt(108)*-2)*5 + sqrt(108) - 2*-2*sqrt(108)))**2.\nAnswer: 13\/8100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the third derivative of z**5\/60 + 5*z**4\/24 - z**2. Let s be b(-6). Suppose -s = 3*r - 6*r. Solve r*p + 6 = 5*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -17ee10 - 0?\nAnswer: -17ee10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 92 a factor of 153?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t**3\/10 - 1778438*t**2 - 79071025211717*t\/10 + 79071060780481\/5 = 0.\nAnswer: -8892191, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/(-6)*(0 + 1). Suppose -57*v = -56*v + 5. What is the biggest value in v, r, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1786, -14302, -48246, -114322, -223234, -385686, -612382?\n\"Answer: -1784*d**3 - 10*d**2 + 2*d + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**3 - 8*h**2 - 5*h - 16. Let b be u(9). Let d be 50\/b*(-16)\/(-4). Solve -t - d = -3*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.1 and 54.87655838849?\nAnswer: 54.77655838849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(-3)*i)**(-37) assuming i is positive.\nAnswer: i**(-185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.3642 * -4.\nAnswer: -5.4568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -48, 1\/4, -479\/2, 0.3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 793?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 43, 0.4, -50.524?\nAnswer: -50.524","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 7*o**2. Let k(j) = 10*j - j - 7 + 0*j. Let t(a) = -4*a + 3. Let z(m) = 3*k(m) + 7*t(m). Give u(z(w)).\nAnswer: 7*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -53e - 6a4e?\nAnswer: -6f8c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0\/(-1) - -38 - -2. Let h = 62 - q. What are the prime factors of h?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -7 + -17729a4?\nAnswer: -1772a00","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in twenty-nine sixths of a day?\nAnswer: 116","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 - -2.6. Let t be (-5)\/6 - 6\/(-18). Let c be 1\/6*(-18)\/(-8). Put p, t, c in decreasing order.\nAnswer: c, p, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/2, 0.01, -1\/4, -1\/2 in decreasing order.\nAnswer: 0.01, -1\/4, -1\/2, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -209 - -391. Let h = z + -1276\/7. Is h at most as big as -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6231 greater than -0.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + c - 66 = 0. Calculate the greatest common factor of 55 and c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-270)\/(-35) + -6 + 12\/42. Solve 0 = -2*z - 5*i + 16, i = -d*i + 12 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -345187*g*w**3 - 187*w**3 - 3653 wrt g?\nAnswer: -345187*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7 by 1007.\nAnswer: 7\/1007","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4603176 + -4603033.5410725. Let y = -170.45892546 + x. Let d = y - -28. What is d rounded to six decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0\/(3 + -4 - -2). Suppose -x + 2*v + 13 = -2*v, g = 4*x - 5*v - 30. Differentiate -x*t**3 - 3*t**3 + 1 + 5*t**3 with respect to t.\nAnswer: -9*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 525 is divided by 33?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes before 8:17 PM?\nAnswer: 1:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 3 = 2*l - 13, z + 18 = 4*l. Find r such that -2*r**z - 1 - 10*r**3 + r**3 + 9*r + 3 = 0.\nAnswer: -1, -2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 - 6*w**2 - 11*w - 10. Calculate p(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 41\/2 of a litre?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(-5)*(-47 - -46). Let a be -2*2*1\/12. Put -1, r, a in decreasing order.\nAnswer: r, a, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-32 - (26 - 118) - 16) + 0 + -14\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 132*d = 133*d - 4, -2*j = -4*d - 38. Solve 32*q = 41*q + j for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - (12 - 14)) + -59 - -5.\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -180200 rounded to the nearest 10000?\nAnswer: -180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -2*k**3 - 88*k**2 + 96*k + 16641. What is b(-40)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 351.6111 - 1.2111. Which is smaller: c or -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26384761.\nAnswer: 13, 2029597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -231*j + 11 = -2*s - 236*j, 0 = -2*j - 6. Let y(d) be the first derivative of 17 - 5*d + 13\/2*d**s. Differentiate y(o) wrt o.\nAnswer: 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 5*g**2 - 53*g - 114. What is the lowest common multiple of s(19) and 27?\nAnswer: 2052","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -42, -83, -124?\nAnswer: -165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**5 - 2036*d**4 + 47328*d**3 - 374528*d**2 + 993280*d.\nAnswer: 4*d*(d - 485)*(d - 8)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 31*k**3 + 5*k. Suppose 0 = -292*t - 1092 - 368. Let j(i) = 32*i**3 + 6*i. Calculate t*j(c) + 6*s(c).\nAnswer: 26*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (28 + 13 + -25) - (6 + 40\/(-5))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 4 + 3)*(1 + 0 - 6) + 2 - 1 + 1)*(-2 + 2*l + 2)*(-l**2 - 10 + 4*l**2 + 12).\nAnswer: -48*l**3 - 32*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -20 - -17. Which is bigger: -0.1 or l?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - z - 25 = -9, 5*o - 45 = -5*z. Let h(g) = -g + 9. Let j be h(6). Let n(q) = -1 - o*q**2 - j + 4. Let x(k) = 3*k. Calculate n(x(s)).\nAnswer: -45*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 10663 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16 + -12. Which is the third biggest value? (a) d (b) -4 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.171313 to 2 decimal places.\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:33 PM and 11:16 PM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the third derivative of -2\/3*h**3 - 1\/15*h**5 + 1\/120*h**6 + 1\/12*h**4 + 0 + 0*h + 3*h**2. Give n(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n - 4. Let q be a(19). Suppose -2*y + q = -y. Let f = -46 - -90. Calculate the remainder when f is divided by y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**2 + 4. Let r be t(-3). Let p = r - -7. Factor 3\/7 + 3\/7*y**p - 6\/7*y.\nAnswer: 3*(y - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 48 - 44, 0 = -3*a + 3*q + 21. Solve 2*l + 2*k - 33 = 7*k, -a*k = -l + 20 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 3 - l)*(4 - 2 - 4 + (-1 + 3 - 1)*(27 - 27 - 36)) as p*l + h and give p.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**7\/q*q)**(-24) assuming q is positive.\nAnswer: q**(-168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2a9 + 2c27?\nAnswer: 3203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 0*t = 24. Let i be 2 - 1*t\/(-3). Let u be 0*(6\/i + -2). Solve b = 4*p - 7, -4*p = -u*p - 4 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -2\/11, -12, 0.03, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -2*q**3 + 3*q**2 + 2*q - 1. Let d be k(-1). Determine c, given that 7*c**2 - 10*c + 0*c + 5*c**2 - 7*c**d = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -207 - 7?\nAnswer: -215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 400\/144 - 4\/(-18). Let u = i - -2. Suppose -r - u*f + 180 = 0, 488 = 3*r + f + f. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1534534903?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 + 13. Let b = 149 + -147. What is the remainder when y is divided by b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**2 - 10*h + 2. Suppose 37 = -4*o + 5. What is the smallest common multiple of i(o) and 8?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1435*d + 2891*d - 1416*d.\nAnswer: 40*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -2*y - 9. Let n be u(-7). Sort n, 4, -0.4 in increasing order.\nAnswer: -0.4, 4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 83632728?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24 - -5 - 30870\/1050.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 148*w**3 - 121*w**3 - 348*w**2 + 7*w**2 + 237*w**3 + 33*w**2 wrt w?\nAnswer: 1584","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 372 and 1023?\nAnswer: 4092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 162 and 5867145.\nAnswer: 105608610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 248 - 135. Let d = f - 111. Find the third derivative of 26*y**4 + 206 - 206 - 31*y**d wrt y.\nAnswer: 624*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 317 - 72 = 0. Calculate the remainder when 291 is divided by g.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 y when four letters picked without replacement from {y: 11, d: 2}.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-191 + 5*w + 191)*(0*w + 0*w + 4*w) to f + j*w**2 + a*w and give j.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -100\/369 + 2\/41. Which is the nearest to n? (a) -2\/11 (b) 1\/6 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -410\/81? (a) 3\/7 (b) -0.3 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2373.15 rounded to the nearest ten?\nAnswer: -2370","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 4*x + 11348 = 0, 2*y - 3*x = -5*x - 7584. Let h = 9349 + y. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 20 = -5*k + 28, 3*k = 4*h - 77. Suppose 17*u - 173 = 320. Suppose -h*t - 24 = -u*t. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x - 7. Let z be f(-9). Let o = -31\/2 - -15. Let i = 1\/425 - 341\/425. What is the nearest to 0.2 in z, o, i?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**3 - 8*c**2 + 4. Let l be m(8). Suppose l*z = -3*s + 24, -2*s + 3 = -3*z - 30. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(-3) + 4\/3. Let u = h + -1. Suppose 2*z + u*z = 4. Solve -z = v - 5*s - 0, 0 = -v - s + 4 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**3 - 4*k**2 - 3*k. Calculate v(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -4*i**3 - 12*i**2 - 8*i. Is m(-4) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -98 * -27.2.\nAnswer: 2665.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**3 - n**2 - 9*n + 5. Suppose 2*i + 2*m = 0, -11*m = -4*i - 7*m + 32. Give g(i).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 387403979 rounded to the nearest one thousand?\nAnswer: 387404000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -5*d - 6. Suppose 2*w + 6 = t - w, -4 = 4*w. Let p(u) = t + 2 + u - 1 - 3. What is -4*p(q) - s(q)?\nAnswer: q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000248224 to five decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 95051235.\nAnswer: 3, 5, 1583, 4003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 6 - 4002*o + 10.\nAnswer: -4002*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u - 5. Let x(v) = -2. Let l(d) = 4*h(d) - 12*x(d). Let y(p) = -2*p + 2. Let o(z) = -2*z + 4. Let s be o(3). What is s*l(a) + 5*y(a)?\nAnswer: -2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 2*q**2. Let k(w) = -242598571*w**2. What is k(u(d))?\nAnswer: -970394284*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 5*c - 12 = 0, c - 4 = 3*y - 20 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.01 - 0.49. Let c be (-36)\/39*-3 - 3. Let u = -28\/65 - c. Sort u, n, 3.\nAnswer: n, u, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - 4, -2*y = 2*s + 19 - 59. Calculate the remainder when 68 is divided by y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 73.19698 minutes?\nAnswer: 4391818.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 - 4. Let y = i + -4. Is 0 smaller than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88875 = -4*a - f, 68160 = 5*a + 5*f - 42915. Suppose 25*k - 4455 = a. List the prime factors of k.\nAnswer: 11, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**3 - 21*j**2 - 1371*j - 43. Calculate s(49).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16 + 12. Let a be o\/(-18) + (-8)\/36. Solve 5*t + c - 5 = -2*c, a = -2*c + 10 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 9, 139, -1, -1\/2, -0.07, 17?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*r = 34*r + 2112. Let f = -216 - r. Is 14 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -2\/9 and -39846.5 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 196*q = 2*s + 203*q + 136, 0 = s + q + 28. Let j(y) be the third derivative of y**5\/60 + 13*y**4\/24 + y**3\/3 - y**2. Give j(s).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16 + 15. Let o = -0.17 - 0.13. Let p = -0.3 - 2.7. Which is the nearest to u? (a) p (b) 3 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1448458032.\nAnswer: 2, 3, 7, 47, 13103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(130) + sqrt(130) + (sqrt(130)*2 - sqrt(130)) + sqrt(130)) - (sqrt(130) - (sqrt(130)*1 - sqrt(130))*-5))\/(sqrt(100)\/(sqrt(90)*-1)))**2.\nAnswer: 1053","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2926.\nAnswer: 2, 7, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 10288393 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -4*j + 16. Let s be p(-3). Suppose -2*f + s = -3*d - 18, -4*f = 5*d - 92. Solve -3*q + f - 8 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d**5)**(-49))**25)**27)**(-30\/13) assuming d is positive.\nAnswer: d**(4961250\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 23680 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*b**2 - 337*b + 172*b + 177*b to the form u*b**2 + a*b + x and give u.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (966\/(-690) - (-4)\/10) + 3499. Calculate the highest common factor of 66 and x.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-10)*24 + (-678)\/(-3390)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -4*r + 492, 13*r - 8*r + 3*x = 575. Factor -26*w**2 + 382*w - 108 + 39*w**3 + w**3 - 4*w**4 - 166*w - r*w**2.\nAnswer: -4*(w - 3)**3*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m = 2*q - 20, 3*m - 424454*q + 424457*q - 60 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -19 - 81. Suppose 3*o = 8*o - t. Suppose -3 = -b + o*b. Are b and -1 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**2 - 66*k - 171.\nAnswer: -3*(k + 3)*(k + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**2 - 5*z + 7. Let x(d) = -12*d + 10*d + 3*d**2 + 14 - 12*d + 6. Give -17*r(h) + 6*x(h).\nAnswer: h**2 + h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1970606144341 and 2.\nAnswer: -1970606144339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 548132 is divided by 1890.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*(-36)\/240 - 10425\/(-13500).\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 4*q - 2*y + 13076, 0 = 5*q + 4*y - 65392. Suppose 9*n = -n + q. What are the prime factors of n?\nAnswer: 2, 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 4*f - 8 = 0, -4*f = 3*j + 15 - 39. Suppose 0 = -9*h + 4*h - 60. Let g be (3\/(-2))\/(h\/8). Solve -g = -j*a + 3*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in twenty-five halves of a century?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes after 5:38 AM?\nAnswer: 3:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 339412?\nAnswer: 2, 53, 1601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (68\/10)\/(134\/(-335))\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.30367 decades in centuries?\nAnswer: 0.430367","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) 4 (b) -113 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24700315?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Do -5 and 2658 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-56)\/(-1))\/((-202)\/101).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -17? (a) -1 (b) 0 (c) -0.5 (d) -0.019 (e) 5 (f) -0.08\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 6*p**3 - 288*p**2 + 4*p. Let w(o) = 17*o**3 - 864*o**2 + 11*o. Give 11*k(m) - 4*w(m).\nAnswer: -2*m**3 + 288*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.4, 2, 2\/15, -2?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 - -9. Let k = 8 - h. Let y be (-9)\/3 - 133\/(-57). Sort y, 1\/6, k in descending order.\nAnswer: k, 1\/6, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 86*t - 41*t + 37*t.\nAnswer: 82*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -41 - 1?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 54276, 54256, 54200, 54090, 53908, 53636?\n\"Answer: -3*a**3 + a + 54278","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes after 7:41 AM?\nAnswer: 6:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -11*a**2 + 4*a + 2. Let b(s) = 3*s**2 + s + 1. Determine -6*b(z) + x(z).\nAnswer: -29*z**2 - 2*z - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(187)\/(sqrt(33)\/sqrt(3)) + sqrt(17) + sqrt(17) - (sqrt(68)\/sqrt(4)*2 + sqrt(17)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5\/9? (a) 0.12 (b) 0.3 (c) -6\/5 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/(-1 - -3))\/(-1). Suppose -2*n + 5 = g. Suppose 3*j = 2*c + 8*j + 3, 2*c + j - 9 = 0. Solve -5*o - 5*f = 0, 4 = n*f - c*f for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes before 4:16 AM?\nAnswer: 4:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}