diff --git "a/data/dm_maths/full_data_2/2258_11255.jsonl" "b/data/dm_maths/full_data_2/2258_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/2258_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let z(b) = 17*b**2. Let a = -462 + 463. Let t(f) = 1 + 8*f - 15*f + 16*f - a. What is z(t(i))?\nAnswer: 1377*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 27042.25t?\nAnswer: 27042250000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -9657574.7 to the nearest 10000.\nAnswer: -9660000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**3 - 2*a**2 - 4*a + 9. Let n(w) = -w**2 + 11*w - 26. Let f be n(6). Let l be u(f). Solve 5*k - l = -0*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -16, 2, -20, -5, -450.\nAnswer: -450, -20, -16, -5, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -3*l + 22. Let v be c(7). What is the smallest common multiple of (2 - -2) + -1 + v and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 333265 is divided by 111078.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -2*f**3 + 4*f**2 + 27*f - 3. What is z(7)?\nAnswer: -304","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10266 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: What is 704 minutes before 5:26 PM?\nAnswer: 5:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2.7 in -0.5, 13, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4463 is divided by 1108?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 2*j**4 + 28*j**3 + 48*j**2 = 0.\nAnswer: -12, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1148911?\nAnswer: 17, 19, 3557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*f + 90 = -21*f. Let i = f + 39. What is the remainder when i is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 16*u - 86. Calculate h(6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xpwiwpefwifp. Give prob of picking 1 f and 2 i.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 47395774 and 3642.\nAnswer: 1214","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 57049779 - 5?\nAnswer: 57049774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1122 (base 3) to base 14\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1604723430.\nAnswer: 2, 3, 5, 263, 203387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/1805241 and -67\/48.\nAnswer: 28883856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2398*g**2 + 0 + 0 - 2340*g**2 + 4632*g**2.\nAnswer: -106*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**2 + 11*w - 8. Let j be 12*((-1)\/3 - -1). Let x be y(j). Is 7 a factor of (-83)\/(-4) + (-12)\/x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 539235839 is divided by 704?\nAnswer: 703","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 206 divided by 68\nAnswer: 103\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-230)\/4 + (660 - 600)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * -93.\nAnswer: 27.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 201 divide 51657?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9 + -9. Let u = a - 6. Let x = u + 9. Solve -m + x = -0, -5*z - 17 = m for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 - -13. Let g = l - 18\/5. Factor -g - 2\/5*d**2 + 4\/5*d.\nAnswer: -2*(d - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 956 + -957. Which is the closest to j? (a) 3\/10 (b) -3\/7 (c) 0.5 (d) -19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 301*i - 596*i + 279*i.\nAnswer: -16*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 254*y**3 + y**2 - y. Is s(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.7 * -0.0524.\nAnswer: -0.14148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 500857?\nAnswer: 7, 71551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the first derivative of -7*k**4\/4 - 11*k**2\/2 + 14. What is the second derivative of p(q) wrt q?\nAnswer: -42*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert a (base 13) to base 6.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(-8)*(-8)\/(-20)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.25591371 to 3 dps.\nAnswer: -2.256","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4729 is divided by 69?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69 + 71 - 524 - 10*b**2 + 71 + 65 + 248.\nAnswer: -10*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.0413 - -0.2413. What is the third smallest value in 0.5, r, -1\/3, 1\/6?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hmhhhhhhhmhhhmhhhh. What is prob of sequence mm?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 9*s. Let l(v) = -26*v**2 + 5 - 15*v**2 + 39*v**2 + 111*v - 5. What is q(l(i))?\nAnswer: -18*i**2 + 999*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3851000 rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 63 = 3. Calculate the lowest common multiple of 22 and x.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 67749, 67757, 67779, 67821, 67889, 67989?\n\"Answer: b**3 + b**2 - 2*b + 67749","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the second derivative of -a**7\/42 + a**6\/4 + a**5\/12 - 5*a**4\/4 - 9*a**2 - 25*a. Let v(c) be the first derivative of x(c). Factor v(o).\nAnswer: -5*o*(o - 6)*(o - 1)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*k, 5*w = w - 3*k - 6. Suppose -3*j - 3*a - 2*a + 46 = 0, w = 3*j - 5*a - 56. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 999386?\nAnswer: 2, 499693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -87 + 133. Suppose -2*j = -k + 31, 0 = -2*k - 3*j + t - 19. Suppose -2*f = -4*u - 62, -k - 72 = -3*f - 4*u. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 + (-1 - -14) + 15?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 21655406 from 0.1.\nAnswer: -21655405.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 56085 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-5))\/(748\/27115).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**4 - 11*b**3 + 23*b**2 + 35*b.\nAnswer: b*(b - 7)*(b - 5)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dddx when four letters picked without replacement from ddddxxxxddddddddxd?\nAnswer: 143\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*z - 1474*z**2 + 28*z - 15*z.\nAnswer: -1474*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1 + (4 - 225\/(-24)) and -71\/6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -2*(sqrt(405) - -1*sqrt(405))**2.\nAnswer: -3241","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 116*h + 588. Give o(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -5, 6, -1, 1 in ascending order.\nAnswer: -5, -1, 1, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**2 - 13*f - 1. Let b be s(-13). Let g be 52\/(-39)*(b + -8). Suppose 21*j - g = 17*j. What is the remainder when 6 is divided by j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9488, -18990, -28432, -37802, -47088, -56278?\nAnswer: -65360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 144, 144, 146, 150, 156, 164, 174?\n\"Answer: f**2 - 3*f + 146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) 2\/3 (c) 0.086\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 5721 and -0.12396797?\nAnswer: 5721.12396797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 111096?\nAnswer: 2, 3, 1543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 259863 and 957390.\nAnswer: 18190410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2580991*u**3 + 4941*u - 108 wrt u?\nAnswer: -15485946*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16\/365 + -9301\/4015. Let g = p - -103\/55. Let t = -74 + 94. Is t not equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 4*z = -422249988, -37*s = -33*s + 5*z - 563000015. Round s to the nearest 1000000.\nAnswer: 141000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g + 9. Let z be j(-6). Suppose -z*w = -22*w + 63. Which is smaller: 8 or w?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(112)*-2*3.\nAnswer: -96*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -4*l**2 - 18*l. Give o(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4499, 8997, 13495, 17993, 22491, 26989?\nAnswer: 31487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -10*d - 10. Give g(14).\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = v - 3. What are the prime factors of 19\/v + 6\/30?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 0.08, -1\/4, -1, -5, 0, 1 in increasing order.\nAnswer: -5, -1, -1\/4, 0, 0.08, 1, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j + 16. Calculate a(-9).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -6*b**2. Let g(f) = 95*f**2 - 181*f**2 + 97*f**2. Calculate k(g(j)).\nAnswer: -726*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 + (-2 - 2)*-1. Solve z*g = -g - 25 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/((-3 - -1)\/(-2)). Let y(j) = 158*j - 629. Let k be y(4). Suppose -t*u + k*u = 0. Solve h = -u - 4 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1)\/2)\/(10\/(-4)). Let d = 0.28 - 0.58. Let t = 6\/7 + 9\/14. What is the second biggest value in d, k, t?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 8 (b) 2 (c) -4.5 (d) -15 (e) 5.8 (f) 3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 12\/19*r - 12\/19*r**3 + 0 - 2\/19*r**4 + 2\/19*r**2 = 0.\nAnswer: -6, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**2. Let f = 459 + -448. Let u(j) = -f*j + 10*j + 37*j + 35*j - 2*j. What is l(u(y))?\nAnswer: 4761*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12849 is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(468)*-1)**2 - (sqrt(91)\/(2*sqrt(7))*2)**2.\nAnswer: 7475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 4*z + 5. Let x be 1 - ((2 - 1) + z). Is (3 + -4)\/(x\/(-83)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**3\/2 - 52251*z**2 - 457058778*z - 35333401428.\nAnswer: -3*(z + 78)*(z + 17378)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a - 1. Let j be u(-1). Let c be (-44)\/10 + 6\/15. Sort c, -3, j in descending order.\nAnswer: j, -3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7644244.\nAnswer: 2, 1911061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 25 - 24.8. Sort -7\/3, -2\/7, g, -1\/2.\nAnswer: -7\/3, -1\/2, -2\/7, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -28.89 - 184224.11. Let u = -184252.887101 - t. Let n = u - 0.113. What is n rounded to 5 decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 120 a factor of 93115176?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -838*t - 641*t - 153*t + 271*t + 4*t.\nAnswer: -1357*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**3 - 10*m**2 + 11*m + 12. Let l be d(10). Let j = 177 - l. Suppose 4*x - j = 9. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:11 PM and 6:02 PM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4240569?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*l - 7*l - 7*l. Let o(v) be the second derivative of -1\/5*v**6 + 0 + 1\/14*v**7 + 3\/20*v**5 + 4*v + 0*v**4 + l*v**3 + 0*v**2. Factor o(p).\nAnswer: 3*p**3*(p - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 20*h - 24*h - 14*h in the form y*h + m and give y.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n**5\/5 - 432*n**4\/5 - 1342*n**3\/5 + 6108*n**2\/5 + 5336*n\/5 - 3504 = 0. What is n?\nAnswer: -5, -2, 2, 219","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1012200122 - -211221?\nAnswer: -1011211201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 263*o = -k - 262*o + 521*o + 14, 11*k + 23 = 3*o for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 13*o*q**3 + 18*o*q**2 - 2*o + 157 wrt q.\nAnswer: 39*o*q**2 + 36*o*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 109*v - 24. Let n(f) = -249*f + 48. What is 7*b(d) + 3*n(d)?\nAnswer: 16*d - 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 504?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1034*q**2 - 162485*q + 170636894?\nAnswer: 2068*q - 162485","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -2*w - 2*w - 4*w + 3*w. Let c(p) = 7*p. Give c(f(z)).\nAnswer: -35*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 5*b - 6*b + 4 = 0, b + 3 = 4*n. Suppose -30 = 6*w - w. Let v = n + w. Sort 2, v, 0.\nAnswer: v, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 251740 + 3?\nAnswer: 251743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -1\/3463 (b) 4 (c) -2\/9 (d) -2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-4)\/(p\/(p**(-2\/29)*p)))\/(p\/(p\/(p*p\/(p**(5\/2)*p)*p*p*p)*p*p)*p**(6\/5))*((p\/p**1)\/p**2)**0 assuming p is positive.\nAnswer: p**(-1383\/290)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2310?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 133657563?\nAnswer: 3, 13, 67, 51151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6516994?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from ioioioiioii.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zyywhwkyykzyywe. What is prob of picking 2 w and 2 k?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 16974426?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -575*j**2*y + 1173*j**2 - 266*j*y**2 + 54*j with respect to y.\nAnswer: -575*j**2 - 532*j*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -5*t**3 + 6485*t**2 + 442020*t + 858060 = 0?\nAnswer: -63, -2, 1362","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 5*d - 10. Suppose -2*a - 15 = -t, 7 = 3*a + 19. Is b(t) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the third derivative of k**6\/40 - 3*k**5\/20 + 3*k**4\/8 - k**3\/2 - 28*k**2. Factor h(z).\nAnswer: 3*(z - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 840, 3167, 6964, 12201, 18848, 26875, 36252, 46949?\nAnswer: 58936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24502 = 3*f - 15*f + 93754. Calculate the highest common factor of f and 116.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 1805*i**5 + 8645*i**4 - 57360*i**3 - 120220*i**2 + 748160*i - 752640 = 0?\nAnswer: -112\/19, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*f + 6612 = 3*y + 16*f, -2 = 2*f. Suppose 0 = 4*v + 4*s - 2227 + 443, -5*v + 4*s = -y. What are the prime factors of v?\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - -1. Let z be (0 + v)\/(1\/(-3)). Suppose 0*k + 29 = 3*k + 5*t, 0 = -2*k + t + 2. Sort k, z, -2.\nAnswer: z, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**2 + 151*q - 4. Let u(i) = -5*i**2. Calculate l(u(c)).\nAnswer: 25*c**4 - 755*c**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17.34 + 18.64. Sort 1, -9, 0.5, f in increasing order.\nAnswer: -9, 0.5, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20 divided by -363\nAnswer: 20\/363","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**3 + 10*l**2 + 23*l + 8. Suppose 0 = 60*t - 19*t - 492. Calculate c(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1779.\nAnswer: 3, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -3*d - 2. Let k(g) = 8*g + 6. Let i be (-26)\/(-8) - 3\/(-4). Determine i*k(f) + 11*l(f).\nAnswer: -f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9\/10 of a litre?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -316842 times 0.096\nAnswer: -30416.832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13)\/(52\/16)*(-2)\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 375.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 44785 - 35447. Calculate the greatest common factor of 230 and m.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 17 in -49, -5, -3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 x when three letters picked without replacement from {n: 1, x: 2, r: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 13454.76645 to the nearest integer.\nAnswer: 13455","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -18.19 to one decimal place.\nAnswer: -18.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 5496570 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 + (13 - 3) - -13?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 34 + -24. Calculate the common denominator of a and -14\/5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 4*y = 120. Suppose -745*u - 72 = -1498*u + 744*u. Calculate the highest common factor of u and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 + 2)*(18 + (-1 - 13) + -11).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(121)\/(sqrt(11) + sqrt(11) + (sqrt(99) - sqrt(11))).\nAnswer: sqrt(11)\/4 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -219.87*1.404.\nAnswer: -308.69748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5424)\/(-339) - 152\/10. Factor 0*k**3 + 4\/5*k**2 + 0 - z*k**4 + 0*k.\nAnswer: -4*k**2*(k - 1)*(k + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/9 - 2\/9*l**2 - 2\/9*l.\nAnswer: -2*(l - 1)*(l + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 27\/2 - 2\/(-4). Let f be 2\/(6\/(-39))*1. Let a = f + 27. Calculate the greatest common divisor of o and a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6024687 to the nearest integer?\nAnswer: 2455","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 11*x**2. Let a(l) = 2*l**2 - 131. Give a(p(t)).\nAnswer: 242*t**4 - 131","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = -2*q. Suppose 0 = v - q*v. Let a be -3 - 3\/6*-4. Put a, 1, v in increasing order.\nAnswer: a, v, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuuu when four letters picked without replacement from {s: 14, u: 5}?\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 143\/357840 and -169\/8946.\nAnswer: 357840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -9 > 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/7 in 1\/4, -5, -16\/5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2*(9\/(-6) - -3). Is 312\/10 + h\/(-15) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, -1745, -2 in descending order.\nAnswer: 5, -2, -4, -1745","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 77116725\nAnswer: -1\/25705575","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 85*l**3 + l**2 + 7*l wrt l?\nAnswer: 510","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -553157.20093 - -553090.2. Let s = w - -67. Round s to 4 decimal places.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102*q - 684 = 100*q. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-200)\/350)\/((-2)\/21). Solve 30 = -3*w - 2*w + 5*y, w = -5*y + m for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*d = 7115 + 20430. What is the hundreds digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 4 + 6)*(0*y - 7*y + 2*y) + 6*y - 17 + 17 to w + o*y and give o.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9663, -9674, -9691, -9714, -9743, -9778?\nAnswer: -9819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2190?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the third derivative of -u**3\/6 - u**2. Let t(s) = -s + 7. Let y(b) = -6*h(b) - t(b). Let i be y(4). Solve -11 = 4*z - c, -i*c + 2*c - 1 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**2 - u. Let l be k(-1). Suppose -4*h = -2*z + 140, -3*h = -2*z - 2*h + 128. Let s = 62 - z. Solve t - 4*c - 8 = s, -3*c + l - 1 = t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w + 11*w = y + 27, -5*w = -4*y - 31. Suppose -818 + 146 = -w*z. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49 is divided by 29.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 158 and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 + 9. Find the third derivative of -b*m**6 + 3*m**6 + 2*m**2 - 2*m**2 - 3*m**2 wrt m.\nAnswer: 120*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the first derivative of 2*l**5\/25 - 17*l**4\/5 + 38*l**3 + 136*l**2\/5 - 2312*l\/5 - 260. Find j, given that r(j) = 0.\nAnswer: -2, 2, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 2*b**3 - 11*b + 7. Let y(n) = -n**3 + 5*n - 3. Give -6*u(o) - 13*y(o).\nAnswer: o**3 + o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -322933.304 to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.953 rounded to 1 decimal place?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:24 AM and 9:10 PM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.5 + 5.5. Let w = 8 - u. Let p = -0.046 + 0.046. Which is the biggest value? (a) w (b) p (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**2 + 3*m + 2. Let k(g) = -3 - 2*g**2 + 3*g + g**2 - 7*g - g**2. Calculate -4*k(b) - 6*p(b).\nAnswer: 2*b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**3 - 4*b**2 + 3*b - 6. Let l be f(-5). Suppose 0 = 4*h - 20, c + 3 = -0*h + h. Find the third derivative of k**2 - k**2 + l*k**c - 3*k**4 wrt k.\nAnswer: -72*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*k**3*r**2*y + 7280*k**3*r*y**2 - k**2*r**2*y**2 + 263*k**2*r**2*y + 9*k*y wrt y?\nAnswer: 14560*k**3*r - 2*k**2*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 7.8, -5, 4.1?\nAnswer: 7.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a decade in months?\nAnswer: 312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 + (29 - 8) + -2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -20 + 4. Let x = 31 + 137. Let v = -167 + x. Are v and i equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*g**3\/11 - 27*g**2\/11 - 24*g\/11 + 4\/11.\nAnswer: -(g + 2)**2*(7*g - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:40 AM and 3:22 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 42 + -43. What is the third biggest value in 0, -18, -0.3, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/1519 in 0.5, -2, 0, -6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3210303 to the nearest integer?\nAnswer: 1792","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - v - 3 = 4*o, 0 = 2*o + 5*v - 9 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 10 - 18*114\/207\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -548370873*n**3 + n**2 + 548370800*n**3 - n**2 + 1.\nAnswer: -73*n**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iii. Give prob of sequence iii.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 196 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/2 + 7\/(-2). Suppose i + 4 = -i. Let p(x) = -2*x**2 - 3*x + 1. Let v(l) be the second derivative of l**4\/6 + l**3\/3 - 86*l. What is i*p(g) + k*v(g)?\nAnswer: -2*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13941*t - 65 = -13876*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 32255035 to the power of 1\/6, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in -707, 0.2, 0.4, 2\/7, 19?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.9 - -3.9. What is the closest to -0.4 in -7, -3, g?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * 0.34\nAnswer: 0.068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nuvmr. What is prob of sequence mur?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 97903758, 195807508, 293711258, 391615008, 489518758?\n\"Answer: 97903750*z + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 49.9 - 48. Let m = y - 1.7. Suppose -b + 1 = 0, -o + 2*b - 3*b = -5. What is the closest to -0.1 in m, o, -4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 5684 = -u + 45325, 5*x = u - 51015. Does 40 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1575707, -1575703, -1575699, -1575695?\n\"Answer: 4*o - 1575711","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 207 or 208?\nAnswer: 208","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 2*p**2 + 3*p - 3. Let x(h) = 0 + 9*h**2 + 12*h + h - 13. Give 26*l(f) - 6*x(f).\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l**5 + 1731*l**4 + 10524*l**3 + 22899*l**2 + 21180*l + 7068 = 0. What is l?\nAnswer: -2, -1, 589\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -20 - (-2 + 1 + (220 - 221))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*a + 206*a + 1358 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/333389 and -12\/2455.\nAnswer: 1666945","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 595617 is divided by 4617.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-1)*(6 + -2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/12 (b) -0.45 (c) -8 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -5563, -11128, -16705, -22300, -27919, -33568?\n\"Answer: -i**3 - 5558*i - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -9 + (4 - -6) + -3\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6892756 or 6892757?\nAnswer: 6892757","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (1846 - 1732) + -137 + 1?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/(-15))\/(28\/(-70)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 0 + 2 = -l, 4*l = -4*u - 8. Let w = -14 + 30. Calculate the remainder when -2 + -26*5\/l is divided by w.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.3*607664.\nAnswer: -789963.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1*7 - (-4 + 3). Let z(l) = -l + 7. What are the prime factors of z(m)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 2, 2\/13, 4, 9, 6.9 in ascending order.\nAnswer: -8, 2\/13, 2, 4, 6.9, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1162 = 3*d + 1162. Solve -7*n + 2*n - 20 = -o, d = -3*n + o - 10 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 416375, 416370, 416365, 416360?\n\"Answer: -5*d + 416380","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 k, and 1 t when three letters picked without replacement from {t: 1, e: 3, q: 2, z: 1, k: 3, r: 3}?\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/75*(-70)\/(-42).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 - -224423141?\nAnswer: 224423142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 8*p - 2. Let v(m) be the first derivative of 113*m**3\/3 - m**2 - 1517. What is z(v(y))?\nAnswer: 904*y**2 - 16*y - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 4*o. Suppose 0 = 3*i - 4 - 5, o = 4*j + 2*i - 138. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 54 = -3*z. Let v(d) = d**3 + 8*d**2 - 17*d - 124. Let c be v(-9). Let q = z + c. Solve -4*o = -q*o + 8 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 k when two letters picked without replacement from kfavxnx?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**2 - 4*t - 184. Let z be r(-13). What is the tens digit of z\/2*240\/(-40)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 83*s + 21. Calculate the remainder when m(13) is divided by 23.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-174)\/(-5104))\/(9 - (-111)\/(-12))?\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 3*o**5 - 11171*o**4 + 40935*o**3 - 55809*o**2 + 33482*o - 7440 = 0?\nAnswer: 2\/3, 1, 3720","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(288) + 2 - ((sqrt(14) + sqrt(56)\/sqrt(4))\/sqrt(7) + (2 + sqrt(72) - sqrt(72) - sqrt(72))**2).\nAnswer: -71 + 34*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*m + 54 + 36*m - 20*m + m**3 to v*m**3 + d + l*m + z*m**2 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1\/7*o**2 - 40\/7 + 39\/7*o = 0 for o.\nAnswer: -40, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -109357 = 4*b + 9*i - 109359, 3*i = -5*b - 14 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 56*s + 77*s + 32*s in the form f + w*s and give w.\nAnswer: 165","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3\/4, -0.0059, -4\/11, -4?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the second derivative of h**3\/2 - 9*h**2\/2 + 2*h. Let j(i) = 2*i**2 + i - 4. Let t be j(-3). Calculate the remainder when 46 is divided by b(t).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-2) - (2 - 5). Suppose -q - h = 4*m + q, 2*m + 2*q = -2. Solve -5*d + 7 - 2 = m for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bt when two letters picked without replacement from {b: 5, q: 4, s: 1, u: 1, t: 3, v: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -162894200 divided by 53725.\nAnswer: -3032","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**3 - 9*l**2 - 6*l - 3. Does 20 divide r(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**10\/(p**(-1\/3)\/p))\/((p*p**(-2)*p)\/p**3) assuming p is positive.\nAnswer: p**(43\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y + 1. Let a be x(0). Let z = a + 5. Let g = 6501 + -6478. What is the remainder when g is divided by z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from {j: 5, f: 2, y: 2}?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b = -1, 6827*n + 34 - 11 = 6823*n + 3*b for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -285929 (b) -5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 28*x**2 - 6*x - 2. Let a be k(-2). Let j = -78 + a. What is the remainder when j is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**2 - z - 124. Suppose a + c = 4 + 4, -c = -5*a + 64. Calculate the remainder when 199 is divided by t(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*g = -m - 44, -76*g - 12 = -74*g - 2*m for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 395?\nAnswer: -1\/79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 106?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -3\/4 (b) -1\/6 (c) -0.06 (d) -11.27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.5223 times -24?\nAnswer: -324.5352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -39*t. Let y be w(1). Let i = y + 55. Let k = i + 17. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(sqrt(22) + 3*sqrt(22)*-1 + sqrt(22)))\/(((sqrt(60)\/sqrt(2))\/sqrt(3))\/sqrt(5)))**2.\nAnswer: 396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.038 + -56.038. Let c = -53 - m. What is the nearest to -1 in -1\/2, -4, c?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**2 - 13*p - 9. Let g be q(14). Suppose g*v - 112 = -2*m, 3*m + 2*m - 3*v = 249. Suppose 0*d = -3*d + m. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6284456 to the power of 1\/2, to the nearest integer?\nAnswer: 2507","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1683629?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 7*c - 25. Differentiate 8*d**4 + 2*d**4 - c + 7 + 5*d**4 wrt d.\nAnswer: 60*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 181*z - 2 = 183*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -2*n + 3*m - 14, 0 = n + m - 6. Suppose -5*s + u - 9 = 0, 0 = -2*s + u - n - 5. Let l be 19\/9 - (-2)\/s. Is l greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4491893 rounded to 1 dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*(-2)\/36*21\/14.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, q: 2}. Give prob of picking 2 q.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Total of 7 and 0.0169740472.\nAnswer: 7.0169740472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 38 = -4*g, 20*q + g = 16*q + 84. Calculate the greatest common divisor of 14 and q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*y*z**4 + 1700*y*z**3 + 3*y*z**2 + 117*y*z + 4*z**4 - z**2 - 10*z wrt z.\nAnswer: -120*y*z + 10200*y + 96*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*-0.827145.\nAnswer: 0.2481435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*j = 10*j + 100. Let h be (-26)\/j*(6 - 4). Let o = 4 + -2. Solve 5*t + 5*u + h = u, 3*u = o*t - 4 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 2*g = 8555. Let u = -153941\/18 + g. What is the common denominator of u and ((-9)\/((-108)\/136))\/(-30 + 39)?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + 469\/(-91) + 2233\/2262.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**3 + 35*y**2 + 47*y + 432. What is s(-34)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 + 5. What is the second derivative of 3*o - 5*o**4 - 3*o**3 + i*o**3 wrt o?\nAnswer: -60*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13*1\/(-312)*40\/15?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve m**3 + 60*m**2 + 353*m - 954 = 0.\nAnswer: -53, -9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 399\/7992659?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of f**2*r*z + 29*f**2*z - 8848*f**2 + 1972*f + 114*r*z - 3*r - z wrt f.\nAnswer: 2*r*z + 58*z - 17696","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 23 and 325657?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 37\/2 of a minute?\nAnswer: 1110","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r**5 + 77*r**4 - 1054*r**3 + 4870*r**2 - 6881*r + 2989 = 0. What is r?\nAnswer: 1, 7, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -13*f**2 - 3244*f - 55667. Determine b(-231).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6\/11, -2\/7, 0.2, 2\/49 in descending order.\nAnswer: 0.2, 2\/49, -2\/7, -6\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 300478?\nAnswer: 2, 150239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 - 5. Find the second derivative of -3 + 8*s**y - 3*s - 5*s**2 + 3 wrt s.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4078*c + 1127*c + 3*c**2 + 2951*c.\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*x + 1638 = 125*x for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 94370246 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6781?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 758952.\nAnswer: 2, 3, 83, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95 = -44*p - 51. Let j be 18\/24*(-2)\/3. Sort -1\/4, p, j.\nAnswer: j, -1\/4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1038350.2+-2.3\nAnswer: 1038347.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000030861 to five decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.022803 to three dps.\nAnswer: -0.023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**3 - 11*t**2 - 26*t + 85. What is the remainder when v(15) is divided by 15?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/(b*b*b*((b*b**(-3\/7)*b*b*b)\/b*b)\/b*b)*b*b**(-24) assuming b is positive.\nAnswer: b**(-200\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 4*u - 4 = 12, 4*u = 2*g - 14. Let w(n) = n**2 + 8*n + 15. Let k be w(-6). Does 12 divide (g\/3)\/(k\/639)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -91, -189, -287, -379, -459?\nAnswer: -521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:03 AM and 5:09 AM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, 3, -12 in increasing order.\nAnswer: -12, -2\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**2 - 58*w - 639. Let x be i(-15). Let h(a) = -a**3 + 6*a**2 + 2*a - 1. Calculate h(x).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16\/32*(-662)\/(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 + -1 + 0 - (-3 + 1). Suppose 2*j + 0*j + f = 0. Let l = 0.209 + -0.009. Which is the biggest value? (a) j (b) l (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -4*z**4 + z**2 + 3*z. Let q(r) = -3 + 3 - 2*r - r**2 + 3*r**4. Let x(a) = -2*d(a) - 3*q(a). Find s such that x(s) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 58\/281 or 1?\nAnswer: 58\/281","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from xxxxxxxxjxjxx?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 214 < -0.03?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3744 - -1835. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.022778 times 1037?\nAnswer: -23.620786","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -7685*c**3 + 3965450*c**2 - 3952615*c - 5150 = 0.\nAnswer: -2\/1537, 1, 515","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3325540 = -47*a - 46*a + 8*a. What is the ten thousands digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xq when two letters picked without replacement from ataqxuun?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -34 - 6 + 7 - 7*o. Let f be u(-5). Factor 2\/9*t**4 + 2\/3*t**3 - 4\/9 + 2\/9*t**f - 2\/3*t.\nAnswer: 2*(t - 1)*(t + 1)**2*(t + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (47*k - 9*k - 2*k + 17*k)*(0 + 8 - 2).\nAnswer: 318*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Do -18.2 and -16\/15 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 275606?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the third derivative of q**6\/30 + 14*q**2. Let s be d(1). List the prime factors of (-42)\/(-21)*26\/s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 209\/3360 and 95\/66.\nAnswer: 36960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17 + -6. Suppose 4 = -7*w + l. Is w < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u**2\/2 - 23*u + 9\/2 = 0. Calculate u.\nAnswer: 1\/5, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**2 + 7*b + 3. Let s be o(-7). Suppose 0 = 2*l + s*r - 11, -2*r + 7 = l - 0. Which is smaller: 2\/7 or l?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**2. Let p(f) = f + 1022. Calculate c(p(j)).\nAnswer: j**2 + 2044*j + 1044484","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pyj when three letters picked without replacement from {y: 4, p: 1, j: 3}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3258*i**2 - 3257*i**2 + 9771*i**2 - 3258*i**2.\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -159a9 (base 16) in base 4?\nAnswer: -111212221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 523 is divided by 6\/(-48) + 7203\/216 + (-32)\/144.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-3 + 3)\/1)\/(-2). Suppose -5*z - 108 - 72 = n. Let l be (-2)\/8 - z\/16. Solve l = -h - 2 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0025601 to four decimal places.\nAnswer: 0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12057*m**2 - 12045*m**2 - 12023*m**2 + 36170*m**2.\nAnswer: 45*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the second derivative of w**3\/6 + 27*w. Let u(k) = 20*k. What is u(q(h))?\nAnswer: 20*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -6+-95119.7\nAnswer: -95125.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r + 11 + 1. Let p(z) = 1 + 4*z - z**3 + 3*z**2 - 3*z**2. What are the prime factors of p(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-32)\/(-40)*(-2)\/(-4). Let c = 99.98 + -98. Let b = -0.02 - c. What is the nearest to o in 0.1, b, -0.3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -9*w - 401. Let d be q(-45). Which is the third biggest value? (a) 0 (b) 0.11 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 15 = 0, 3*l - 10 = 5*k + 8*l. Let m(y) = 65*y**3 - y**2 + y - 1. Is m(k) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/6 of a day in hours?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/5024 and 59\/13056.\nAnswer: 2049792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (0 - (-15 + 3)) + 51 + -54\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -735066672 + 735066672 + 142*u.\nAnswer: 142*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*m + 3*m + m + (4*m - 13*m + 7*m)*(3 - 3 + 2) in the form g*m + a and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 27113 - 26996. Solve -102 = 5*c - f, 4*j = c + 17 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6acd1 (base 14) in base 8?\nAnswer: 774567","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 5*r - 24. Determine k(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*v + 10*v - 2*v)*(1 - 2 + 0) + (-1 + 2 + 1)*(-22*v + v - 4*v) - 2*v + 4 - 4)*(-v**3 - v**3 + 0*v**3)*(1 - 3 + 3).\nAnswer: 120*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:52 PM and 12:44 AM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 20\/(-50)*(-2)\/(-12). Let x = -3721 - -3720.8. What is the second biggest value in x, 6, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1669\/10 equal to 168?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -14*w**3 + 3*w**2 + 20*w - 57. What is l(3)?\nAnswer: -348","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/2)\/(2\/(-8))*(-13143)\/35048?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 440 and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 50 + 46. Suppose 0 = -t + 129 - a. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 841, 809, 777?\nAnswer: 745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3\/130 + -659\/390. What is the second biggest value in 4\/7, z, 2\/3?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 126*t**2 - 13*t - 13. Let l(u) = 19*u**2 - 2*u - 2. Let d(j) = 39*l(j) - 6*o(j). Let x(i) be the second derivative of i**4\/6 - i. Determine d(x(w)).\nAnswer: -60*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7\/5? (a) 2\/5 (b) -96 (c) -112468\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 divided by -3?\nAnswer: -166\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 2\/2845325?\nAnswer: 2\/2845325","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9530, -9383, -9236, -9089, -8942?\nAnswer: -8795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 47545 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -d1c (base 16) in base 2?\nAnswer: -110100011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the first derivative of -2 + 3\/2*m**2 + 0*m. Let k(n) = -19*n**2. Calculate j(k(q)).\nAnswer: -57*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -2122 (base 5) to base 10\nAnswer: -287","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 228076776?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and -1285.\nAnswer: -2570","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -93\/22 and -29*(261\/(-66) + 4)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 37 + (1 - 16) + (0 - (-30 - -20))\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: 0.24 * -2363\nAnswer: -567.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 + -5. Let f = s - -3. Solve x = 3*h - f, -6 = -4*x + 4*h + 2 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -11783 and 44235369269?\nAnswer: 44235381052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + 4 - 57*f + (-3 - 1 + 6)*(6*f + 82 - 82).\nAnswer: -45*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 4041.221 and -1099689?\nAnswer: 1103730.221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -963 - -1668. What is the highest common factor of 47 and z?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.861 to 0 dps.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 - 50 = -31*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {d: 1, k: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 15691537 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 6816 a multiple of 140?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes before 9:50 AM?\nAnswer: 11:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 - 8. What is the tens digit of (2 + 0)*(-7)\/c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qataaaqaq. What is prob of picking 3 q?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrx when three letters picked without replacement from {d: 2, r: 2, x: 8}.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 - 24179975225504.\nAnswer: -24179975225516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5*(3\/5 - 1). Let v = 443 - 439. Put 0, v, f in decreasing order.\nAnswer: v, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*f**3 - 5*f**3 + 3*f**3)*(-6 - 6 + 2)*(15*f + 2*f - 4*f) as g*f**3 + p*f**4 + v*f + k*f**2 + c and give p.\nAnswer: -260","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 142, 283, 424, 565, 706?\n\"Answer: 141*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(-24))**11\/(((l\/l**(5\/11))\/l)\/l)**33 assuming l is positive.\nAnswer: l**323","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 3 - 3)*(2*q - 4*q + 0*q)*(-1 - 3 - 2).\nAnswer: 48*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20950?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 5*c**4 - 13*c - 14*c + 0 + 2*c**4 - 2*c**2 + 23*c to d + k*c + v*c**3 + g*c**2 + z*c**4 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.06, -327, -5\/2?\nAnswer: -327","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (68 + -43 - 18) + -8*(3 + -2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the third derivative of y**7\/5040 + y**6\/240 - y**5\/15 - 4*y**2. Let u(m) be the third derivative of v(m). What is the units digit of u(7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the third derivative of m**5\/60 - m**4\/24 + 8*m**2. Factor p(l).\nAnswer: l*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3324771 is divided by 3866?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 307434 and 14.\nAnswer: 2152038","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((144\/63)\/4)\/(4\/(-14)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 163 - 163.0000296. What is w rounded to 6 dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 621, 620, 607, 576, 521, 436, 315, 152?\n\"Answer: -c**3 + 6*c + 616","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**2 + 2*y + 1. Let h be j(-1). Let p be 1\/4 - (-214)\/8. Suppose 5*f = -5*v + 70, h = 3*v - f - f - p. List the prime factors of v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 88.6 + -89. Which is the fourth biggest value? (a) -2\/15 (b) -16 (c) g (d) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 + 0 + (-12)\/3. Let y be (-4)\/u - 2188\/(-12). Suppose 0 = -4*v + t - 0*t + 203, -4*v + y = -5*t. Is 13 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express s**4 + 445*s + 3*s**2 - 4*s**2 - 1549*s**3 - 3 + 1550*s**3 + 2 + 0*s**2 as b*s**2 + i*s**4 + r + t*s**3 + j*s and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -10 + (0 - 1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 f when three letters picked without replacement from bybybbfbbozzbq?\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.2 - -1.6. Let t = -0.2 - -1.2. Which is the closest to 0.3? (a) k (b) -2 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + 0*j - 120 = 3*y, 0 = 11*j + 4*j - 11*j - 9*y - 150 for j.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6126283 to the power of 1\/2, to the nearest integer?\nAnswer: 2475","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -41678084*l**3 - l**2 + l + 69723221 wrt l?\nAnswer: -250068504","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9, -114, -365, -834, -1593, -2714, -4269, -6330?\nAnswer: -8969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + 19.91?\nAnswer: 7.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -181 - 168*u - 184 + 712 - 173 - 174.\nAnswer: -168*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does -43783650 = -43783649?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 54155*l**2*m**3 + 19*l**2*m**2 - 17*l**2 + l*m**4 - 7*l*m**2 - 3 wrt m?\nAnswer: 324930*l**2 + 24*l*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50 = 27*g - 37*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 119*s**3 + 20*s**2 - 6*s + 1577. Let j(t) = -118*t**3 - 18*t**2 + 5*t - 1580. Let n(c) = -6*j(c) - 5*r(c). Differentiate n(f) with respect to f.\nAnswer: 339*f**2 + 16*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 25 = 5*s. Suppose -12 - 8 = -2*w. Let o be (-3)\/5 - (-78)\/130. Solve o*q + w = s*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2, -57.\nAnswer: -57, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the second derivative of z**4\/3 - z**3\/2 + 3*z**2\/2 + 2*z. Let y(g) = -5*g**2 - 245 - 4*g**2 + 5*g + 488 - 248 + 2*g**2. Calculate 5*k(j) + 3*y(j).\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -474047*j**4 - 10*j - 34797 wrt j.\nAnswer: -5688564*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(1\/10)\/i**(3\/4))\/(i**(9\/5))**(-2\/21) assuming i is positive.\nAnswer: i**(-67\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 151709297 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -4*g - 8. Let a = -7 - -25. Let j = a - 26. Is h(j) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1.7 (b) 18 (c) -2\/5 (d) -11 (e) 157\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 706450?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 96045?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 161c6e6 (base 15) in base 12?\nAnswer: 54561a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -12.5550331 to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(-4\/5)*i**(1\/2))**(-48) assuming i is positive.\nAnswer: i**(-552\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*z**3 - 3166557 - 3*z**2 - 60*z + 4*z**2 + 60*z + 3166557.\nAnswer: 45*z**3 + z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q - 5*t - 22, -11 = -q - 3*q + 3*t. Is (4\/8)\/((q\/1)\/(-254)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -83 - -77. Let v(x) = 3*x + 20. Let i be v(s). Let h(n) = -93*n - 4*n**2 + 96*n + 2*n**3 + 0*n**3 - i. Calculate h(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -517 = -4*i + 763. List the prime factors of i.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 4 = -2*s. What is the common denominator of 4 - s - (-154)\/(-12) and -79\/8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a - 20, -5*x + 4*a + 2437 = -6039. What is the tens digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 3013*w + 5 - 17 + 11.\nAnswer: -3013*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of -29*a**2\/2 - 172*a + 228. Differentiate c(y) with respect to y.\nAnswer: -29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 68 + (2 - ((13 - 33) + 13)) + (1 - 8)\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 821*g - 5089*g - 106838 = 123634 for g.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the third derivative of v**7\/1680 + v**6\/360 - v**5\/48 - v**4\/8 - 37*v**3\/3 - 3*v**2 + 5*v. Let h(c) be the first derivative of y(c). Factor h(t).\nAnswer: (t - 2)*(t + 1)*(t + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjj when three letters picked without replacement from yyjjjjjjylyjy.\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 138489341 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 104*r + 54. Calculate l(-7).\nAnswer: -674","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (619 - 28*q - 619 + (4*q + 0*q - 2*q)*(-4 + 0 + 3))*(3*q + 0*q - 4*q)*(-2*q + 3*q - 2*q).\nAnswer: -30*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -104*((-165)\/(-22))\/(-15). Solve 23*w - 10*w - n = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 6*i + 28. Let b be t(9). Solve -68 - b = -30*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**2 + 5*k - 5. Suppose -3*f = -1 - 2. Let u(n) = n - 1. What is f*a(z) - 5*u(z)?\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 151890 and 64574.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/72)\/(230\/60)?\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2723524, 5447120, 8170716?\n\"Answer: 2723596*d - 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.2921 + -4764.2921. Which is smaller: -3\/4 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 15 = 4*r + 9, -4*r = -2*g - 32. Let b = -14 - g. Factor 1\/3*j**2 + b + 0*j.\nAnswer: j**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 84 divide 68877?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -0.05 (b) -0.165 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes before 1:53 AM?\nAnswer: 3:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -3*z + 5*z + 18, 3*z - 7 = -l. Let v(i) be the first derivative of i**2 + i - 5. Let t be v(1). Which is bigger: z or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*(i**15\/i)\/i)\/i**12 assuming i is positive.\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 27\/1098143 and 15\/377?\nAnswer: 14275859","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Do 220 and 881\/4 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**2 + 7*z - 5. Let o be c(5). Suppose o*j + 10 = 50. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 2*p**3 + 9 + 2*p**3 - 3*p**3 + 9*p**2 - 8*p - 2*p. Let g be d(-10). Suppose -g = 3*v + 4*w + 1, -3*v = 2*w + 2. Solve -v*h - 17 + 7 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 91*a**4 - 10*a**4 + 77*a**2 - 4 - 219*a**2 + 74*a**2 + 71*a**2 to f*a + y*a**3 + j*a**2 + c*a**4 + h and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1262 is divided by 397.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 1040 divide 125636120?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pyoipihiihh. What is prob of sequence yop?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.1 (b) -2\/21 (c) 1525\/19 (d) 2\/3 (e) -16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 33*o + 435. Let a be x(-13). Let y = 7 + -4. Solve -y*p = -a*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-3*(sqrt(539) + sqrt(539)*1)*1)**2 - ((sqrt(539) - -1*sqrt(539))*4 + (sqrt(539) - 3*sqrt(539)*3)).\nAnswer: 19406","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 193753712?\nAnswer: 2, 89, 103, 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -29*m**5*y + 27*m**2*y**3 + m*y**3 - 2*m + 144*y wrt m?\nAnswer: -580*m**3*y + 54*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + 79 + 35 = 0. Suppose -g + 4*l = -n, -g + 22 = 3*l - 8*l. Solve -g*p + 4*v = -3*p - 8, 0 = -v - 1 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + 26. Suppose 4*r + l + 2*l - h = 0, 5*r - 31 = -4*l. Find the third derivative of 4*y**2 - 3*y - y**2 + r*y - y**4 wrt y.\nAnswer: -24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2640097557 rounded to two decimal places?\nAnswer: -0.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v\/(v\/(v\/v**(5\/3)))*v)\/v)\/((v*(v\/(v*v**5*v))\/v)\/v))**(-47) assuming v is positive.\nAnswer: v**(-1034\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 350 and 1585.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 252311 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 48478243 a multiple of 907?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:31 PM and 11:07 PM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 221665058?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + -12 - -19 - (1 + (-1 - -7)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 17042 + 2?\nAnswer: 17044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001468 rounded to 5 dps?\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x - 2*x + 0*x - 7. Let k(z) = -2*z - 13. Let r(s) = -4*k(s) + 7*p(s). Let y be 2\/(-9) + (-2)\/(-9). What is r(y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l + 13. Let f be q(9). Suppose -6 = -3*k + 2*i - 7*i, i = -f*k + 8. Let g = 132 + -129. Put g, k, 4 in descending order.\nAnswer: 4, g, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 l when three letters picked without replacement from {l: 1, x: 17}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, c: 2, n: 8, j: 3}. What is prob of sequence cc?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4853 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 4*n = -g + 47, g = -n + 11. Calculate the highest common factor of 1 and g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*i**3\/5 - 12*i**2\/5 - 96*i\/5 - 112\/5.\nAnswer: 4*(i - 7)*(i + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 9725?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 234565?\nAnswer: 5, 43, 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (24 - 46) - 9.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(567) + sqrt(567) + -3 + sqrt(567) + 3)**2 + (-2 + sqrt(567) + 1*-2*sqrt(567))**2)*-2*6.\nAnswer: -432*sqrt(7) + 176856","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46151.\nAnswer: 7, 19, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4620?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 6*o - 4 = 2*o, -2*m = 3*o. Find the third derivative of 75*t**2 + 45*t**2 - 27*t**2 - 22*t**3 + 130*t**m wrt t.\nAnswer: 648","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, o: 7, k: 2, y: 5}. What is prob of picking 1 k, 1 o, and 1 y?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 69.60596 and -15.\nAnswer: -1044.0894","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.002 (b) 0.05 (c) 1\/2 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + -3. Let z = -10334.13 - -10384. Let r = z + -49.9. Which is the second smallest value? (a) j (b) r (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*q = 8*q + 40. Let n be -1 + 5 + -7 + q. Suppose n*r = 4*r. Solve 4*t = 16 - r for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 8, x: 4, f: 1, h: 1, b: 3}. Give prob of picking 1 b, 1 h, and 1 x.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 65 from -21.41.\nAnswer: -86.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 84\/6 + 2 + -12. Solve z*g = -203 + 187 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 4*y**2 - 6*y - 5. Let g be v(6). Let p(u) = -20*u + 42. Let a be p(-19). Let q = a - g. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1171 + 121a?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + 26\/(-36))\/((-90)\/(-72)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8064277 nanograms to milligrams.\nAnswer: 0.0000008064277","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 4810 = -3*x, -7*v + 4815 = -2*v - 2*x. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 98274 smaller than 98271?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*a*m**4 + 2*a*m**3 + 894*a*m**2 + 31*a*m - 4*m**4 - 96*m**3 - m**2 wrt m.\nAnswer: -48*a*m + 12*a - 96*m - 576","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 24*c**3 + 18*c**2 + 21*c + 18. Let x(z) = z + 11551*z**2 + 1 - 5788*z**2 - 5762*z**2 + z**3. What is h(p) - 18*x(p)?\nAnswer: 6*p**3 + 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 882 and 3234?\nAnswer: 9702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(1 + sqrt(448))**2*1.\nAnswer: 80*sqrt(7) + 2245","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -5447*d + 32687. What is k(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.04 and 0.0065.\nAnswer: -0.00026","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-11)*s\/(s*s**(-2)) assuming s is positive.\nAnswer: s**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -108733, -108728, -108723?\n\"Answer: 5*k - 108738","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2289700 rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, e: 1, r: 1, u: 2, z: 1, m: 2}. Give prob of picking 1 u, 1 r, and 1 m.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence og when two letters picked without replacement from owog.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1539 - 1511. What is the smallest common multiple of 4 and c?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 4 = -2*k, 20 - 13 = -2*g - k. Put g, 25, -4 in decreasing order.\nAnswer: 25, -4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 138949?\nAnswer: 41, 3389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 22729.2 to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**2 + 1. Let k(x) = x**3 - 3*x**2 - 24. Let b(s) = -3*f(s) - k(s). Calculate the remainder when b(0) is divided by 32\/(-12)*(-12)\/4.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 516 and 414648?\nAnswer: 17829864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes before 10:24 PM?\nAnswer: 11:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -20 (b) 11 (c) 12 (d) 3 (e) -0.1 (f) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 456 = -27*z + 9825. Suppose z = a - 3*l, a - 23*l - 367 = -24*l. Is a a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 22 = -133. Let t(x) = -9*x + 7*x + x**3 + 12*x**2 - 8 - 4*x**2. Let d be t(-8). Solve -5*w = 5*v - d*v + 5, -3*v - 4*w = y for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2224?\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 1, -6668.\nAnswer: -6668, -11, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**(-2)*g*g*g*g**13)\/(g*g**(-1\/8)*g)**(-5))**(-39) assuming g is positive.\nAnswer: g**(-8853\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 4 = a. What is the second derivative of 12 - 18 + a - 4*r - 11*r**3 wrt r?\nAnswer: -66*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 55*6\/((-70)\/(7\/(-175)*-25))\nAnswer: -33\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 656*s**2 - 1331*s**2 - 2 - 620*s**2 to y + p*s + g*s**2 and give g.\nAnswer: -2607","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -6, 348, -2, 1\/2, 4\/33, 4, -0.2?\nAnswer: 348","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/((16842240\/(-66304) + 254)\/(-1 - 10\/(-14)))?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h - 4*i + 645, 1403 = 4*h - 2*i - 1105. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*n - 3*n - n)*(n + 3*n - 5*n)*(-22 + 0 + 59)*(0 - 1 + 0)*(-5*n + 2*n + 4*n).\nAnswer: -407*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-6 - -7)*(1 - -7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 r when two letters picked without replacement from {x: 1, z: 1, r: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 43116 and 301812.\nAnswer: 301812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37345866*4.\nAnswer: 149383464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + b - 87 = -4*h, 5*b = -3*h + 61. Let i = 14 + h. What is the remainder when 69 is divided by i?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -81087*s**4 - 98*s**2 - 9*s - 5.\nAnswer: -1946088*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -13*z - 16. Let k = 2710 + -2719. Let y(s) = -3*s - 4. Determine k*y(p) + 2*j(p).\nAnswer: p + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 13 + -13 - (-1)\/3. Which is smaller: -7.3 or k?\nAnswer: -7.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 144725575867 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12*n**5 - 23*n**5 + 13*n**3 + 40*n**5 - 1 + 1 - 3*n**5 + (1 - 1 - 2*n)*(-n**4 + 4*n - 4*n).\nAnswer: 4*n**5 + 13*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m - 22*m = -26. Solve m*r + 43 = 41 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.08 times -9022?\nAnswer: 9743.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 8 + 4*c)*(3*c**2 - 3*c**2 + 2*c**2) - 7*c**3 - 8*c**2 + 8*c**2.\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**3 - 4641*p**2 + 32431*p - 3. What is v(7)?\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -41623 (base 12) to base 10\nAnswer: -85563","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((-2 + sqrt(1700))**2 - (1*sqrt(153))**2).\nAnswer: -40*sqrt(17) + 1553","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*q + 38*q + 25 = -2*f, -2*q + 3*f = -25 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 348340, 348347, 348358, 348373, 348392, 348415?\nAnswer: 348442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1799*d - 1796*d - 5*b + 110, 37*d - 65 = 34*d - 2*b for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (2 - (1 + 2)) + -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 104526, 104525, 104524?\n\"Answer: -u + 104527","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -12\/13? (a) 1 (b) 2 (c) 5 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24, -48, -106, -216, -396, -664?\nAnswer: -1038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/336 and -59\/36?\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 u when three letters picked without replacement from rrrrrurrrrrrrurrrrr.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003149236 to 6 dps.\nAnswer: 0.003149","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -4, -10741, -1\/3, -0.2, 5?\nAnswer: -10741","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2659 a multiple of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -74\/5235723 and -49\/105135.\nAnswer: 26178615","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -10*z**5 + 72745*z**4\/2 + 26653755*z**3\/2 + 99073355*z**2\/2 + 52706825*z\/2 - 9892770 = 0?\nAnswer: -332, -3, -1, 1\/4, 3973","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1134\/13 smaller than 88?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -164*n**2 + 59*n**2 + 49*n**2 + 52*n**2. Let u(d) be the third derivative of -d**5\/10 + 3*d**2. Give u(k(m)).\nAnswer: -96*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 657 is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 46 and 14122?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-52)\/(-65)*5\/2. Let f be (-70)\/21*p\/4*-3. What is the closest to -2 in -1, f, 0.3, -6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 32 = 6*k. Let n be k*1\/((-4)\/8) - -3. Suppose 0 = 2*j + 2*h + 16, -5*h - 22 = -j. Put j, 4, n in descending order.\nAnswer: 4, j, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*b**3\/8 + 27*b**2\/2 - 243*b\/2 = 0. Calculate b.\nAnswer: 0, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 3*w**3 + 3*w**2 - 2*w + 2. Let c be z(2). What is the greatest common divisor of c and 85?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) -0.4 (c) -5 (d) 8 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes before 6:27 AM?\nAnswer: 1:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 66*h**2 + 9 + 123*h**2 - 1 - 93*h**2 to the form i + n*h**2 + x*h and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -200*l - 142. Does 17 divide w(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t + 0*t + 2*t)*(3*t**3 + 14 - 16*t - 12 + 80*t)*(3*t - 2*t - 3*t).\nAnswer: -6*t**5 - 128*t**3 - 4*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13126138?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 107*a - 31*a = -318 + 2978. Suppose 5*d = -4*i + 27 + 29, 3*d = -5*i + 70. Suppose 4*j + i = 5*j. What is the highest common factor of j and a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12193 (base 10) in base 15?\nAnswer: 392d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 2*l**2 - 2*l**2 - 1 + l**2. Let f be d(-3). Let q = -5 + f. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115*d = 365*d - 24442750. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 5*i - 640 = 0. Let u = -83 - i. Let z = -2.9 - 1.1. Which is the third smallest value? (a) 1\/6 (b) z (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/153 and -47\/63.\nAnswer: 1071","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-1256)\/(-200) + -6)*5\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k - 1. Let s(r) = 2. Give 3*d(n) + 4*s(n).\nAnswer: 3*n + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00047091 to 3 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4\/9, 9\/10, 0.5, 0.01, -0.02, 3, 0.1?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 244365 and 290895?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3*(2 - 1)*-9. Let h = s - -40. What is the highest common factor of h and 91?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-p**3 + 0*p**3 + 2*p + 2*p)*(-6*p + p + 2*p) as s + d*p + l*p**4 + y*p**3 + u*p**2 and give u.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.12174 - 0.143127. What is v rounded to three decimal places?\nAnswer: -0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 23.1 + -21. Let o = s - 2. Suppose 3*i - 23 = -8. Which is the third biggest value? (a) -4 (b) i (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -21 - (0 + -19 - 4). What is the nearest to 2\/5 in 1\/3, x, -61?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1301\/595 + 43\/17. Let i = -60 - -403\/6. Find the common denominator of i and k.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 2 + 23 = 0. Let m = 29 - h. What is the remainder when m is divided by 10 + 0 - 4\/4?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -578, -2137, -4530, -7589, -11146, -15033, -19082, -23125?\n\"Answer: 28*x**3 - 585*x**2 - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.212 + 2.788. What is the fourth smallest value in -3\/2, 0, -69, -1\/6, b?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9465996 divided by 2\nAnswer: 4732998","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 2 l, and 1 n when four letters picked without replacement from {d: 1, s: 6, n: 2, y: 4, l: 3, t: 2}?\nAnswer: 2\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 127047 is divided by 66.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4072877 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*k - 10*k + 15. Suppose k*j - j = -52. Let s = j - -74. Is 14 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13611 to the power of 1\/3, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 3*k**2 + 17*k - 18. Let n be p(-13). Suppose 0*s + 264 = s + 2*t, -s = 4*t - n. What is the tens digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*m + 6*m - m + (1 + 0 + 1)*(-2 + 4 - 3)*(-859*m + 2040*m - 967*m) to b*m + u and give b.\nAnswer: -426","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 29751*n - 56. Is c(1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y - 4*o, 2*y + 0*y - o = -10. What is the units digit of (-1)\/(-4)*(y + 8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3841 is divided by 49?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61633?\nAnswer: 11, 13, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4320*w - 4*x + 12 = -4322*w, 45 = 5*w + 5*x for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(3) + 3)**2 + 1)*-6.\nAnswer: -78 - 36*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 + -2)*20\/(-8)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*i**3 - 2664*i**2 - 446208*i - 881792.\nAnswer: -4*(i + 2)*(i + 332)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (20\/8)\/((-2)\/(-4)). Let k be (-3)\/y - 6\/(-10). What is the smallest value in 1\/6, k, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/(-315)*21*((-9)\/(-15))\/3.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the third derivative of 11*a**5\/270 - 13*a**4\/108 + 2*a**3\/27 - 13*a**2. Factor n(i).\nAnswer: 2*(i - 1)*(11*i - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5004 is divided by 1636.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 50 - -15?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 26*d - 23*d**2 - 11*d**2 + 35*d**2 as s + l*d + q*d**2 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 - (-11 + 15 + 10 + (8 - 26)).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the first derivative of -24*y**5\/5 + 26*y**3\/3 - 30. Find the third derivative of w(t) wrt t.\nAnswer: -576*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 10\/3 of a millennium?\nAnswer: 40000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -451, -320, -159, 44, 301, 624?\n\"Answer: 2*q**3 + 3*q**2 + 108*q - 564","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 i, and 2 h when four letters picked without replacement from {i: 4, m: 1, d: 2, h: 3, p: 2}.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 2*c - 22 = -0*c, -3*o + 2*c + 6 = 0. Solve -9 = v - o*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-3\/8))**(1\/8)\/(d**(-22\/7)*d*d)**11 assuming d is positive.\nAnswer: d**(5611\/448)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes after 4:18 AM?\nAnswer: 5:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m, 1 y, and 1 h when four letters picked without replacement from {y: 2, p: 4, h: 6, m: 3}.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = 11*d - 12 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 5, 1\/3, -203, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-j - 3*j + 5*j)*(-1 - 4 + 3) + 0 - 3*j + 0 + 0*j - 5*j + 4*j)*(-4678 - 5148 + 339) to the form u + w*j and give w.\nAnswer: 56922","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 21*l**2 - 5649*l - 3*l**4 + 8*l**4 - 2 + 5648*l + 2 to q + k*l**3 + z*l + b*l**2 + r*l**4 and give b.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 35279 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -6*o + 11. Let m be k(-9). Suppose 3*j - 2*y = m, 1 = -y - 3. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5673500 rounded to the nearest 100000?\nAnswer: -5700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 11*i**2 + 20*i + 19. Let x(l) = 5*l**2 + 9*l + 10. Let k(n) = 6*g(n) - 13*x(n). Let b be k(-8). What is the greatest common divisor of b and 192?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkv when three letters picked without replacement from vfkikjvifvkk?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -11066 divided by 2?\nAnswer: -5533","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 5*p + 114 - 22 = 0, -s - 4*p + 42 = 0. Let k(t) = 2*t - s*t - 1 - 4 - 2*t. Is k(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -990040 at most -990036?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1092 and 780.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1014448.\nAnswer: 2, 19, 47, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + -27 + 15 - (-6 - 1).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 154 or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 110435189 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.092 (b) 3 (c) -6\/95\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 4*k - 196 = 0. Suppose -4*r - 9 = -k. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69 = -m - 67. Suppose 4*h - 5*h + 4*i = -38, 5*h - 65 = -5*i. Determine y so that 0 - 15\/2*y**4 - h*y**3 - 27\/2*y**m - 3*y = 0.\nAnswer: -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2*(-26)\/(-20) - (-64)\/160. Suppose -4*n - 3 = -y*l, -5*n = -2*n. Is l at least 3\/265?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i + 26 = 104. Suppose 2*q + 5 = i. Suppose -1491 = w - 3*w - n, -2*n - 2978 = -q*w. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 741*z + 2267. Give d(-3).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:03 PM and 9:27 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2553345?\nAnswer: 3, 5, 23, 2467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 2*y**2 + 3*y. Let f(b) = 4*b**2 + 5*b. What is 6*f(s) - 10*x(s)?\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/2? (a) -0.3 (b) -4\/5 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 3 = 5. Let d(w) be the first derivative of -w**4\/4 - 2*w**3 - w**2 + 4*w - 50. Let x be d(-6). Calculate the highest common divisor of x and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**2 + 4*y - 4. Give r(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**3 - 6*a**2 + a - 7. Let h be g(6). Suppose 0 = n + t + 4, -n - 2*n = 2*t + 12. Let w be 10\/6 + -1 + 4\/(-6). Put h, n, w in increasing order.\nAnswer: n, h, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(2\/17)*t*t**9)\/(t*((t\/(t\/t**(7\/4)*t))\/t)\/t*t\/(t*t\/t**(3\/7))*t) assuming t is positive.\nAnswer: t**(4731\/476)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 7, k: 5}. What is prob of sequence kt?\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -9*b**2 - 8*b + 129. Let q be k(9). Does 16 divide q\/(-7) - (2 + 1 + -3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 4*p + 4*c, -7*c + 6*c - 1 = -4*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 9*s - 2 = -13*s, 5*s + 5 = 5*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ry when two letters picked without replacement from ryghzrlhyyyhyrzyz?\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/(-36) - (-735)\/(-135)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 4*v**2 - 5*v + 4. Suppose 2*a = 4*a - 2*x - 10, 0 = -a - 4*x + 5. Suppose a*h - 6 = 4. Is 5 a factor of s(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 102*j - 199*j + 84*j as k*j + b and give k.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b**2 + b**2 - 4*b**2)*(3313*b + 662*b - 34*b + (-2 - 3 + 6)*(-5*b + 3*b + 3*b)).\nAnswer: -11826*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**2 + 4*f - 2. Let x be 5 + -12 + (-1)\/(-1). Let k be c(x). Suppose 3*t + 24 - 84 = 0. Calculate the greatest common factor of k and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 - ((-12)\/8 - 1\/(-2)). Sort 1, r, 3, 5 in increasing order.\nAnswer: 1, r, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 + -106e5?\nAnswer: -106e8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3*z - 1)*(-2*z**4 + 1 - 1) + z**5 + 5*z**2 - 5*z**2 + 69*z**5 + 103*z**5 - 59*z**5.\nAnswer: 120*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 81640?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 + 10. Suppose 5*m - 3*i = x*m + 120, -m - 5*i + 16 = 0. Does 12 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -17, 0, 6.\nAnswer: -17, 0, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 7 + -6 + 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 108357, 108708, 109059, 109410, 109761, 110112?\nAnswer: 110463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add -2 and 20299138.\nAnswer: 20299136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.3*-0.7.\nAnswer: 2.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t + 2. Let b be f(8). Let u(d) = 11 - 22 - d + b + 5. Give u(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 2*b - 12. Let j(x) = 6. What is -12*j(d) - 6*u(d)?\nAnswer: -12*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1746829 is divided by 1746782?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = h - 2. Is 2 a factor of -8*(0 + h\/6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 3*z**5\/4 + 15*z**4\/4 + 9*z**3\/2 - 3*z**2\/2 - 21*z\/4 - 9\/4 = 0?\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**3 + 8*w + 6. Let t(k) = 3*k - 76. Let a be t(24). What is the remainder when s(a) is divided by 22?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-97908)\/17630)\/199)\/((-4)\/(-10))?\nAnswer: -3\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the third derivative of -c**6\/840 + c**5\/420 + c**4\/168 - c**3\/42 - 246*c**2 + c. Factor u(l).\nAnswer: -(l - 1)**2*(l + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 - -7. Let i(r) = -7*r**3 + 547398 - 1094792 + 547394. What is i(j)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, 1\/3, 3, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 27\/2324 and 1\/1743?\nAnswer: 6972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 j when two letters picked without replacement from {t: 4, f: 2, r: 2, j: 1, s: 1, h: 2}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 7095*l + 71259. Calculate the remainder when v(-10) is divided by (-3 - -2) + 1*9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 3*n + 8 - 15, 2*k - 13 = -n. Suppose k*a - 2111 = i, 2*i - 540 = -2*a + 528. What are the prime factors of a?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -47.93 - -47.81. Which is the nearest to 1? (a) 0.1 (b) o (c) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 6*x + 14. Suppose -l - 1 = 3*d - 0*l, 5*l + 23 = x*d. What is the nearest to d in 4, 0, 5, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 2 = 14. Suppose 0*a - u*a + 873 = 0. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 887*w**4 - 7*w**3 + 11*w**2 + 6*w - 252363665.\nAnswer: 3548*w**3 - 21*w**2 + 22*w + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 4, m: 3, q: 2}. Give prob of picking 2 q and 2 p.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -7931 and -0.06.\nAnswer: 475.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2\/325 - -331\/975. What is the closest to -0.1 in 5, g, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -355*g + 2. Let c be a(-2). Suppose -o + c = 3*o. Suppose -2*v - 2*m + o = v, 0 = -2*v - m + 118. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 20 = -o, 4*a + 3*o - 28 = -0*a. Let t(f) be the second derivative of 0 - 2*f**2 - 8*f**a + f - 9\/2*f**5 - 17\/3*f**3. Determine l so that t(l) = 0.\nAnswer: -2\/5, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -6*n - 15. Let w be a(-3). Suppose 120 = w*h - 15. List the prime factors of h.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -298.46 rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 j when two letters picked without replacement from jpgpgnfinipn.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/125 of a tonne in kilograms?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -8\/111 and -63\/296.\nAnswer: 888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 85*o**2 - 42*o**2 - 34*o**2.\nAnswer: 9*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 1 + (17 - 13).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange w - w - 2*w + (0 + 1 - 3)*(-3*w + 0*w + 4*w) + 30*w - 27*w + 85*w to v + p*w and give p.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*i + 6*i - 5*f + 46 = 0, 0 = -4*i - 4*f + 44 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 995325 is divided by 110585.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11584 and 3776.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-170)\/8)\/5*4. Let m = i - -17. Let k(w) = 4*w**2 - 2*w - 1. Let r be k(-1). Solve m = -4*o + r*q - 19, 3*o - 9 = -5*q + q for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 - -13 - (-28 - -43).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-12)\/5)\/(48\/320). Let i be (-98)\/(-16) + 2\/g. Which is the third biggest value? (a) 5 (b) 0 (c) 2 (d) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -5 (b) -39\/19 (c) -0.1 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 2*p. Let w = 315 - 315. Let s(n) be the third derivative of 0*n - 8*n**2 + 1\/15*n**5 + w*n**4 + 0*n**3 + 0. Calculate s(k(t)).\nAnswer: 16*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - 3*g - 5 = 0, -g + 5 = 5*c + 3*g for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times 4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange k + 2*k**4 - 6*k**4 - k**4 + 1 - 4198*k**3 + 3*k**4 + 4201*k**3 to the form x + p*k**2 + s*k + a*k**3 + w*k**4 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:18 AM and 2:54 AM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + 3515 = -5*s + 3460, 0 = s + 2*g - 1 for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 28*g - 476. Let k be z(17). Which is the biggest value? (a) -1 (b) k (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -492 - -497. Let d(j) = -53*j + 103*j - 53*j + w. Suppose 3*r + 2*r - 30 = 0. What is d(r)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/17)*c*c\/(c\/(c\/(c\/(c\/c**(-4))))*c)*c**(-1)\/c**(-8))\/(((c\/c**(1\/2))\/c)**(1\/8)*c\/(c*c**(4\/5))*c*c\/(c\/c**(2\/13))) assuming c is positive.\nAnswer: c**(204929\/17680)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -575 + 595 - ((0 - -3) + 2).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-8)\/(-6))\/((-2)\/1797). Let b be s\/(-3) + (-5)\/15. Let u = -279 + b. What is the greatest common divisor of 15 and u?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21010210 - 10?\nAnswer: -21010220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 536 + -511. Suppose k*j - 3*x - 228 = 23*j, 5*j - 545 = -5*x. Calculate the remainder when j is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -7 and -1068737.\nAnswer: 7481159","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*b - 3*b + 2*b**2 + (15*b - 92 + 92)*(0*b + 2*b + 0*b) - 10*b**2 + 19*b**2 + 4*b**2.\nAnswer: 45*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -3*n**2\/4 + 12315*n\/4 + 12321\/2 = 0.\nAnswer: -2, 4107","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 117353 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**2. Let q(h) be the third derivative of -h**6\/180 + h**3\/3 + 4*h**2. Let c(o) be the first derivative of q(o). Give a(c(z)).\nAnswer: 4*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2\/27 + 89\/108. What is the second smallest value in -0.3, -52, v?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -182952846.5 and -0.212.\nAnswer: -182952846.712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1847, -2987, -4133, -5285?\n\"Answer: -3*k**2 - 1131*k - 713","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zi when two letters picked without replacement from zzafifzvzz.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.57447059 rounded to 1 decimal place?\nAnswer: -3.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -4341167.4 rounded to the nearest one hundred thousand?\nAnswer: -4300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1123, -2390, -3645, -4882, -6095, -7278, -8425?\nAnswer: -9530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2741846976 and 88.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -436 + 861 - 423 - 167*j.\nAnswer: -167*j + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-45)\/12 - 2\/8. Let t be 0\/(-1*d\/(-2)). Suppose 7*g - 3*g = -20, 75 = 4*f - 3*g. Solve -3*j - f = t, -5*n - 24 = 2*j + 6 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.8 - 0.2. Let h = q - -2.1. Let o be ((-3)\/(-12)*2)\/(-1). Which is the nearest to h? (a) -0.3 (b) o (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1386*l + 63*l**2 + 598*l**5 - 169*l**2 + 100*l**2 wrt l?\nAnswer: 11960*l**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -26*c**2 + 3642*c - 3897. Give j(139).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 144 = -7*d. Let k(r) = 3*r**2 - 8*r + 5. Let z be k(5). Suppose -50 - z = -5*n. Calculate the highest common factor of n and d.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5f + 15c?\nAnswer: 1bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 61 and 1847873?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -1\/10792?\nAnswer: -1\/10792","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f**4\/3 - 18245*f**3\/3 - 23198525*f**2\/3 + 46451765*f\/3 - 7745000 = 0. What is f?\nAnswer: -1000, 1, 4647","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 283.48 - -1.52. Let x = 288 - d. Which is the nearest to -11? (a) -3 (b) -0.3 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -587093595 - -54\nAnswer: -587093541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -14*n + 5*n - 14*n + 414 for n.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 2778419504?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14 + 8. Suppose 0 = k, 3*c - 5*k = -2*c + 40. Let j = c + v. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - 15) + (20 - 17).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -31*a**3 - 4*a**2 + 16*a - 5. Let c(s) = -3*s**3 - s**2 + 3*s - 1. Let w(t) = -6*c(t) + o(t). Calculate w(1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5177 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: What is the lowest common multiple of 75259 and 110143?\nAnswer: 25663319","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**3 + 5*v**2 + 3*v + 5. Let q be r(-5). Let x = q - -9. Find the common denominator of 189\/30 + (-2 - x) and 68\/3.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -3*w - 1. Let i be v(1). Let g be 1 - -13 - (-30)\/78*-39. Sort i, 294, g in decreasing order.\nAnswer: 294, g, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38723 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-9)\/(-4) - (-5)\/(-20). Suppose -2*f = -4*f + n. Suppose -4*t - 34 = -14, f = -b - 5*t. Does 24 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1308638 to the power of 1\/2, to the nearest integer?\nAnswer: 1144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11425 is divided by 106.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4438477 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**3 - 4*c**2 - 6*c - 6. Let n be j(-3). Solve 0 = n*d - 22 + 31 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7250 and 232.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 92 divide 4227768?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61069842*v**2 - 30534938*v**2 - 30534934*v**2.\nAnswer: -30*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 + -9. Let u(n) = n**2 - 8. Calculate u(k).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2881669110?\nAnswer: 2, 3, 5, 103, 932579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4.7947 and 692.\nAnswer: 3317.9324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 115\/(-2)*(-18)\/45.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22628773 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4512261 from 1586.\nAnswer: -4510675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes before 1:17 PM?\nAnswer: 3:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1406)\/(-296) - (-197)\/(-12).\nAnswer: -35\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 3*u - 24. Let p be b(6). Let t(a) = -11*a - 25. Let l(n) = 11*n + 24. Let h(v) = -4*l(v) - 3*t(v). Is h(p) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(972)*3 + 4)**2.\nAnswer: 432*sqrt(3) + 8764","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -229840 + 26*p + 229840.\nAnswer: 26*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*w - 9*w - 5 = 0. Suppose -w + 3 = p. What is s in -6*s**2 + 4*s**p + 6*s + 0*s = 0?\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 28491.4222 to the nearest 1000.\nAnswer: 28000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + 2 + 13. Suppose -346 = -2*o + v*k, -13*k = -2*o - 8*k + 354. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1724 = 4*k - g, 3*k + 5*g - 805 = 488. What is the hundreds digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*v**4 + v**4 + 2*v**4 + (-v**4 - 1227*v**4 - 1200*v**4)*(2 - 2 + 2) to the form q*v**3 + u*v**4 + a*v + x + y*v**2 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**2 - 2*s + 2. Let k(o) = -2*o**4 - 236*o**3 + 760*o**2 - 6*o + 6. Let c(b) = -k(b) + 3*y(b). Find the third derivative of c(f) wrt f.\nAnswer: 48*f + 1416","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 2*h + 6. Let b(j) = -22*j - 86. Let q(a) = -2*b(a) - 28*c(a). Let t(y) = 3*y**2. Calculate q(t(g)).\nAnswer: -36*g**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 4, g: 3}. What is prob of sequence hg?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -17610898.\nAnswer: 1\/8805449","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**3 + 15*j**2 + 37*j - 29. Suppose -5*v + 28 = y + 31, 3*v - 5 = -y. What is t(y)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xtxxtxxttxtx. Give prob of picking 3 x.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1308.1 rounded to the nearest 100?\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1602, -1\/18, 2\/5, -0.2 in decreasing order.\nAnswer: 2\/5, -1\/18, -0.2, -4, -1602","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 2 - 15*n**2 as v*n**2 + q + d*n and give v.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/f**(-3\/7)*f**3\/f)**(2\/141) assuming f is positive.\nAnswer: f**(62\/987)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -27 (b) -0.2 (c) -1\/12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-j**2 - 18*j**2 - 12*j**2)*(1 - 2*j**2 - 2 + 3) to q*j**2 + l*j**3 + g*j + h + o*j**4 and give o.\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add 3990 and 0.008060734122.\nAnswer: 3990.008060734122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 19 = -2*r, -41*r + 36*r = 5*k + 25 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the third derivative of m**8\/112 + 3*m**7\/70 + 3*m**6\/40 + m**5\/20 + 8*m**2. Find l, given that u(l) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 3 + 3)*(0*u**2 - u**2 - u**2)*(-52*u**2 + 53*u**2 - u + 0*u) to h + t*u**4 + f*u**2 + i*u**3 + p*u and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -1311*l**2 - 57. Let k(x) = -114*x**2 - 5. Suppose 671*h + 11571 = 874*h. Give h*k(y) - 5*g(y).\nAnswer: 57*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(15)\/sqrt(3) + -3 - sqrt(50)\/(sqrt(1440) - (sqrt(1440)*-2 + sqrt(1440)) - sqrt(10)))**2.\nAnswer: -684*sqrt(5)\/23 + 69741\/529","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - 244 = 62. Suppose t - 323 = x. Does 34 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -7 - -25?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 - 4 - 3*h - 16*h - 2.\nAnswer: -19*h + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vx when two letters picked without replacement from paxvppvpp.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/22 in -5\/4, -0.2, 19, -3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.06846 - -1.06846. Sort -11\/5, c, 0.2 in ascending order.\nAnswer: -11\/5, 0.2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 4*q**3 - 10*q**2 - 3*q + 6. Calculate d(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10354 - 6652. Suppose -6798 = -3*o + v. Round o to the nearest one thousand.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 183, -1, 337.8 in decreasing order.\nAnswer: 337.8, 183, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 100\/312 + 58\/(-377)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -9*(143\/(-6))\/(-11)*-8. Calculate the greatest common divisor of 104 and d.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 - 29. Let y = 76 + h. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3595.\nAnswer: 5, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 3669, 3671, 3673, 3675?\n\"Answer: 2*g + 3667","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v - 0 + 6. Suppose v = f - 0. Find the third derivative of 3*t**3 - 3*t**3 - f*t**4 + 2*t**2 wrt t.\nAnswer: -48*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 7 - 17 = 5*a, -2*r = -2 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1592 is divided by 21.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4803 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -7.8 times -0.5\nAnswer: 3.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide (38\/(-4)*2 - 0)*-4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 90\/35*84028\/12?\nAnswer: 2, 3, 3001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -21100010 + 2301133?\nAnswer: -12132211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x**5 + 0*x**5 - x**5)*(0 + 2 - 1)*(-2 + 1 - 4).\nAnswer: 10*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 562 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*f**3 + 2305*f**2 + 33280*f - 75820.\nAnswer: 5*(f - 2)*(f + 17)*(f + 446)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 11, -7, 5, 2.\nAnswer: -7, 2, 4, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 3*l + 35, 29*l - 27*l + u + 25 = 0. Put 0, 8, l, -2, 3 in ascending order.\nAnswer: l, -2, 0, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10 by -206.\nAnswer: 5\/103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2\/7, -552\/11, -0.04.\nAnswer: -552\/11, -1, -2\/7, -0.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-11*k + 6*k - k**2 + 7*k)*((-2 + 0 + 1)*(-2 + 6 + 0) + 0 + 2 + 0 - 5 - 1 + 4) to t + p*k**2 + l*k and give p.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**5 - 98*b**4 - 97*b**3.\nAnswer: -b**3*(b + 1)*(b + 97)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(252) + 2)**2*6 + 2.\nAnswer: 144*sqrt(7) + 1538","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 3*h**3 + h**2\/4 - 17*h\/2 - 23\/4 = 0.\nAnswer: -1, 23\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -30238*j + 8920202. Calculate b(295).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4 and 302.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**3 + 8*r**2 + 11*r - 13. Let t be u(9). Suppose 0 = t*l + 158 - 413. Calculate the remainder when l is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -9, -5, 146.\nAnswer: -9, -5, 2, 146","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 542503*p**2 - 2*p**4 + 568 - 542780*p**2 - 2*p + 4*p**4 wrt p?\nAnswer: 24*p**2 - 554","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the first derivative of 0*i + 70 + 7\/2*i**4 + 0*i**2 - 46\/3*i**3. What is the third derivative of n(y) wrt y?\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 497, 994, 1491, 1988, 2485?\n\"Answer: 497*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*r**2 + 3*r**2 - 4*r**2)*(3716 - 3716 + 28*r)*(6*r - 9*r - 14*r) to z*r**3 + x*r**4 + f*r**2 + s + t*r and give x.\nAnswer: 476","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -22510*k**2 + 18738*k wrt k?\nAnswer: -45020","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -b - 4*o, -1 = -498*b + 500*b - 3*o for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 297 a factor of 409575771?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c**(-11\/5)*c)\/c**(-11))\/(c**(1\/3)\/c**2))**(-4))**(-18) assuming c is positive.\nAnswer: c**(4128\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 4 = 6. Suppose 0 = -3*d - 2 + k. Let i = 7 - d. Calculate the highest common divisor of i and 54.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (12\/(-14))\/(120\/560). Suppose 8*f - 4*f - 4 = 0, 5*l - 2*f + 237 = 0. What is the smallest value in 2\/5, l, p?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 + -50245147?\nAnswer: -50245152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 202973380 to the nearest one million.\nAnswer: 203000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33830 is divided by 153?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**2 + 5. Let m be o(0). Suppose m*p + b + 2897 = 0, 4*p + 4*b + 1843 = -465. Round p to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9.37 to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**2 + 4*w - 2. Let t be x(3). Suppose -5*p - t = -11. Suppose -5*j + j - m + 15 = 0, 10 = p*j - 2*m. Sort j, 0, 3 in increasing order.\nAnswer: 0, 3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-4)\/(-3))\/(2\/6). Suppose -s = -g*s. Let k be 13\/5 - 6\/(-15). Solve s = -3*w + 15 - k for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes before 4:52 AM?\nAnswer: 9:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 115, -3, 0 in descending order.\nAnswer: 115, 0, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -3*u + 6 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(2 - -3) + 23022\/(-15). What are the prime factors of (z\/(-3))\/5 + 4\/(-12)?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5406*s**4 - 2*s**2 - 13448*s wrt s?\nAnswer: -64872*s**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 u when two letters picked without replacement from eupkkhekhekc.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 199370*x - 55813?\nAnswer: 199370","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:37 AM and 5:38 AM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00009280532259 to 6 dps.\nAnswer: -0.000093","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 3*o + 2 = 5*j, 0 = -4*o + 8 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -963389 * -3\nAnswer: 2890167","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 674a96 (base 12) to base 16.\nAnswer: 192012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 12 = -2*d. Solve d*u + 1 = -7 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12.3 + 1.7. Let d = -9 + s. What is the closest to 1 in d, 2\/15, 0.1?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 3*p. Let v(z) = -702569 + 81*z + 702569. Give d(v(y)).\nAnswer: 243*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1372*u**4 - 6566*u**3 - 1449*u**2 - 209*u\/2 - 5\/2 = 0 for u.\nAnswer: -1\/14, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -16) + (-484 - -489).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5668889 to the power of 1\/2, to the nearest integer?\nAnswer: 2381","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4.093 + 0.007. Let l = t + -4. Let y = 0.5 - l. What is the closest to -1 in y, 0.1, 3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6035, 6338, 6641, 6944, 7247, 7550?\nAnswer: 7853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes before 11:34 AM?\nAnswer: 1:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 17066 and 28.\nAnswer: 34132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 + -1010001022020202?\nAnswer: -1010001022020220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12 - -16. Let d(g) = g**3 - 11*g**2 - 40*g - 11. Let v be d(13). Let y = -963\/5 - v. Which is the closest to -1? (a) y (b) -2\/5 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(847) + 3)**2 + 4)*4 - (sqrt(1008)*2 + 2 - (sqrt(1008) + 4 + 1*sqrt(1008) + sqrt(1008))).\nAnswer: 540*sqrt(7) + 13606","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(-4)*i)\/(i*i**(-2\/23)*i))\/(i**8\/i*i*i**(1\/6)\/i))\/((i*i**(2\/9)\/i)\/i**0*(i\/i**(1\/2))**21) assuming i is positive.\nAnswer: i**(-4720\/207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 + 13 + -2 + 17?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 2) + (-4 - -5)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 104, 2, 4, 7 in increasing order.\nAnswer: -7, 2, 4, 7, 104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 13\/8 of a millisecond?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*k**2 - 21*k**2 + 353*k**2 + 368*k**2.\nAnswer: 677*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3654780.16 and 1?\nAnswer: 3654779.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tnn when three letters picked without replacement from {c: 1, t: 6, n: 7}?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 3*n + n. Let v = -48238 - -192951\/4. What is the nearest to v in 0, n, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the first derivative of -2*l**2 - 6*l + 328. Determine u(-5).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((15*2)\/(-3))\/((-167)\/((-1005340)\/(-1400)))\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-32)\/(-14) - 2\/7. Suppose x*a + 1 = 3*a. Suppose 7 = 4*j - a. Sort -3, -5, j in ascending order.\nAnswer: -5, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 66.61 - -8.84. Let f = -74 + a. Round f to one decimal place.\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 524 and 10.\nAnswer: 2620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2342514044 - 5?\nAnswer: -2342514053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 197*d - 385*d - 10610*d**2 + 21221*d**2 + 188*d - 10612*d**2.\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1.15, -1.6, -13?\nAnswer: -1.15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -18977 divided by 21?\nAnswer: -2711\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 30923*l**5 + 24828*l.\nAnswer: 618460*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0.1 (b) 1\/32 (c) -4 (d) 6.1 (e) -0.1 (f) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 4*n + 4 = 0. Let c = -2 - n. Solve 3*o + 2*y - c + 5 = 0, 0 = -3*o - 3*y - 6 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 416\/15 + -397\/12. Suppose -3*c - 140 = -5*c. Calculate the common denominator of 6\/15 - (-397)\/c and z.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -55648.277 rounded to the nearest 100?\nAnswer: -55600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is a + -43ab?\nAnswer: -43a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-42)*-3*3\/12.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 3 + 3)*(0*c**2 + c**2 + 2*c**2)*(125 - 836 - 163).\nAnswer: 7866*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put together -253856253 and -5.\nAnswer: -253856258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.166 - 82.834. Let w = b + 110. Let j = -29 + w. Put j, 4, 3 in ascending order.\nAnswer: j, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 2*a**3 - 2*a**2 + 8*a + 12. Let p = -179 + 185. Let q be z(p). Round q to the nearest one hundred.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -40924 - 6?\nAnswer: -40930","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**2\/11 + 2184476*g\/11 + 37135514\/11.\nAnswer: 2*(g + 17)*(g + 1092221)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 19 = 35. Let t = 51 + x. Suppose -5*v - 9 = -t, -105 = -2*z - 5*v. Calculate the highest common factor of z and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-12 - 21 + 0)*(z**3 - 16*z + 17*z - 2*z**3) + (-2*z + z + 0*z)*(-z**2 - 9*z**2 + 4*z**2) in the form l + x*z**3 + t*z + r*z**2 and give x.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/3120 and 7\/462975?\nAnswer: 96298800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the third derivative of 0*n - 1\/8*n**4 - 18*n**2 + 2\/3*n**3 + 1\/120*n**6 + 0 - 1\/30*n**5. Determine r(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17408683 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 16*b**4*f*t**2 - 1808*b**2*f*t + b*f*t**2 + 2*b*t**2 - 2*b*t - 4011*f wrt b?\nAnswer: 192*b**2*f*t**2 - 3616*f*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*f - 4 - 36 = -5*f. Solve h = -f*t - 3, 12*t + 4*h + 9 = 7*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 23, 61, 99, 137?\n\"Answer: 38*u - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25516793 is divided by 349545.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2588, 3559, 5178, 7445, 10360, 13923, 18134?\nAnswer: 22993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9\/2? (a) 43 (b) 2\/5 (c) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*v**2 - 2780 + 5560 - 2780.\nAnswer: -43*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 + c?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppprrppppr. Give prob of picking 2 p.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 4*q**2 - q - 11. Let v(m) = -3*m**2 + 2*m + 10. Let t(j) = 2*n(j) + 3*v(j). Let s(b) = b + 1. Give 5*s(o) - t(o).\nAnswer: o**2 + o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 109660352?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 4*n**2 + 97078. Let q(m) = -44*m. What is q(k(u))?\nAnswer: -176*u**2 - 4271432","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -8 + 446?\nAnswer: 439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 78 - 23. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y\/(y\/y**20))**27)**(1\/40) assuming y is positive.\nAnswer: y**(567\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that s**3\/3 + 74*s**2\/3 + 48*s = 0.\nAnswer: -72, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1202185.\nAnswer: 5, 240437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 + 4418142?\nAnswer: 4418144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -71078009*z**2 + 60696327*z wrt z.\nAnswer: -142156018","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*f**3 - 3*f**4 - 185*f + 1 + 0 + 183*f - 2 + f**4 - 5*f**2 in the form n*f + o + m*f**4 + c*f**2 + v*f**3 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4*(-4 - 1) - 4. Let q = -24 - y. Let p = 0.96 - 1. Which is smaller: q or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/5, -17, -5, -2\/7?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are -2272601 and -2272603 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -135 - -102.6. Which is the nearest to 0.1? (a) 0.4 (b) -1\/7 (c) -5\/4 (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 191, 26, -361, -970, -1801?\nAnswer: -2854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -4, 1\/4, 0.3, -0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8108 or -10219?\nAnswer: -8108","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 3963, 3945, 3911, 3861, 3795, 3713?\n\"Answer: -8*d**2 + 6*d + 3965","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the second derivative of -k**4\/12 + 5*k**3\/6 + 4*k**2 - 3*k. Let y be j(6). Suppose 14 + y = 2*l. What is the remainder when 14 is divided by l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6821291*j**5 - 22662072*j**2 wrt j.\nAnswer: 409277460*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - l + 1 + (-1 + 2 + 1)*(-18*l + 22*l - 12*l).\nAnswer: -17*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -23518.73 * -4.35.\nAnswer: 102306.4755","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2417 - 2191. What is the remainder when 3840 is divided by l?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23613951 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the third derivative of 7*t**4\/12 + 2*t**3\/3 + 4*t**2. Let l be f(3). Let m = l - 24. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1721 (base 8) to base 9.\nAnswer: -1305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 685 + 30?\nAnswer: 6b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 8380*n**2 - 11011 wrt n.\nAnswer: 16760*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) 4 (c) -0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 456136 or 456135?\nAnswer: 456135","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8.566 - -0.184. Let s = 8.750001141 - c. What is s rounded to seven dps?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 - -2 - (10 - 15 - 1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 994389, 994016, 993643?\nAnswer: 993270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(2)*1*-2 + sqrt(80)\/sqrt(10))*-6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 - 5. Suppose 0 = -o*l + 5*v + 52 - 12, -3*l = 5*v + 5. Suppose -4*n - a = -l, n + 3*n - 4*a - 20 = 0. Solve -n*f = f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-543*a**2 + 2071*a**2 + 988*a**2)*(3 + 3 - 5).\nAnswer: 2516*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.05321175*0.5\nAnswer: -0.026605875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0\/1)\/((-3)\/3). Suppose q*p - 5*p = -40. Let m(x) = 6*x**2 + 5*x - 11. Is m(p) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 5*r + 7*w - 140, 77 = 3*r - 4*w. Let z be (-6)\/31*3\/r. Is z smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*n + 371*n + 2*n**2 - 574*n + 1377*n + 871*n to the form a*n**2 + q + c*n and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -132 by 44.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 648 and 20127192.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 + (-5 - -11) + -32.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/(((-48)\/(-9))\/4).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1, 6, -18406 in increasing order.\nAnswer: -18406, -2, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 3*s - 174, -2*s - 2*j + 116 = -3*j. Let b = -16 + s. Is 14 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.5 in -9, 2, -1\/2, 327, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 219, 286, 353, 420?\n\"Answer: 67*m + 152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -73*i**2 + 79*i**2 + i**4 + 9*i**4 wrt i?\nAnswer: 240*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 3 - 3)*(-7*k - 6*k + 3*k + (-2*k + 3*k + 2*k)*(-2 + 3 + 0) - 2*k + k + 4*k) in the form r*k + o and give r.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (130\/195)\/(1\/(-2 - -8)). Solve -h*u = a + 7, 7*u = 9*u + 4*a for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (384\/(-256))\/((-54)\/(-152)). Which is greater: -3 or f?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 14417*p + 64. Let x be h(3). Let m = -22442 + x. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m**2 - 372210*m + 11545023675 = 0.\nAnswer: 62035","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 - -8) + 8*1\/(-2). Suppose m*l = 192 + 2012. What is the thousands digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) -2\/1147 (c) 1 (d) -11634 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5\/3? (a) 1\/2 (b) -1\/2 (c) 1.095 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4271bc (base 13) in base 10?\nAnswer: -1557997","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*n*w**4 + n*w**2 + 7*n*w + 98*n - 206*w**4 + 7 wrt w?\nAnswer: 24*n*w**2 + 2*n - 2472*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (35*(-244)\/(-6405))\/((-10)\/630)?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*x + 20*x - 20440. Is x a multiple of 73?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 167484 is divided by 6197.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - 41*i + 5*i + 38*i - 8 = 0, 2*j + 1 = -5*i for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -100001 (base 2) to base 12\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2858, 5412, 7966, 10520?\n\"Answer: 2554*m + 304","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 69*u**2 - 19*u - 177. Let r(o) = -101*o**2 + 27*o + 266. Calculate -10*g(p) - 7*r(p).\nAnswer: 17*p**2 + p - 92","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2787 - -3732. What is the thousands digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 2*z - 3. Let o be (-64)\/(-12) - (26\/6 - 3). Let d(k) = -5*k + 8. Calculate o*d(m) + 11*l(m).\nAnswer: 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1032232 (base 4) to base 2\nAnswer: -1001110101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/459 and -13\/108.\nAnswer: 1836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-132)\/(-15) - (-396)\/(-66)?\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 114 - 340\/3. Determine p, given that 0*p**2 - 1\/3*p**3 + p - a = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 288011 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is a - 7ec?\nAnswer: -7e2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -12002002002011 (base 3) to base 10\nAnswer: -2698087","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 1 + 23 + (-17 - 3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t + 3*t - t)*((t - 1 + 1)*(4*t - 3*t + 0*t) + t**2 + 0*t + 0*t + 353*t**2 + 141*t**2 - 350*t**2).\nAnswer: -146*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.8 - -2.8. Suppose 0*f - 6 = 3*f. Which is the nearest to x? (a) f (b) 5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 + t**2 + 54*t - 9. Give i(7).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the second derivative of n**6\/15 + 34*n**5\/5 + 715*n**4\/3 + 8932*n**3\/3 + 7569*n**2 - 1284*n. Find c such that p(c) = 0.\nAnswer: -29, -9, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-27))\/((24\/27)\/((-14)\/(-91))).\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - r**4 + 2*r + 16*r**3 + 0*r**4 - 10*r**3 - 11*r**3 to the form n*r**3 + f + l*r**4 + p*r**2 + z*r and give n.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-1*(sqrt(275) + 0 + -2 + 0) + -3)**2.\nAnswer: 10*sqrt(11) + 273","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the second derivative of -r**9\/37800 - r**8\/5600 - r**7\/3150 - r**4\/4 + 2*r. Let y(f) be the third derivative of p(f). Factor y(t).\nAnswer: -2*t**2*(t + 1)*(t + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 909397705 to the nearest integer?\nAnswer: 30156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 881 is divided by 81?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 404481657 to the nearest integer?\nAnswer: 20112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4784354?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 136 + -131. Let u(a) = a + 1. Let j be u(-1). What are the prime factors of 0\/r - (j - 41)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 26 - 18. What is the least common multiple of l and 7?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4226 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 73? (a) -1 (b) -1\/8 (c) -2 (d) -2\/93\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -3*k**3 + 121385031*k**2 - 1227860539931760*k + 1227860418546732 = 0?\nAnswer: 1, 20230838","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**2 + i + 16. Let a be 1\/((21\/6)\/7). Suppose w = -a*w. Let j be u(w). Solve -4*r - j = q + 1, r + q + 8 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1273 times 1.854\nAnswer: -2360.142","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -94 = -17*x + 8 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 54014 to the power of 1\/2, to the nearest integer?\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 15734 + 0?\nAnswer: 15734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together -6 and -256483.\nAnswer: -256489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.6 + 0.6. What is the fourth biggest value in -1\/9, o, -1, 2\/17?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**2 + 5*r - 6. Let a be c(3). Suppose -k - 4*l - 14 = a, -2*l - 24 = -4*k + 2*l. Solve 0 = -3*f + 2*q + 13, -4*f - 2*q - k*q - 16 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94299 = 4*g - 141*m + 144*m, -4*m - 70743 = -3*g. What is the hundreds digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -194348\/183 + 1062. Which is smaller: -1 or c?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6863 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*y**5\/7 - 140164*y**4\/7 - 280312*y**3\/7.\nAnswer: -4*y**3*(y + 2)*(y + 35039)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19.17 - -152.847504014.\nAnswer: 172.017504014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.578+-278291461.701\nAnswer: -278291462.279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i. Let o(k) be the second derivative of -17*k**3\/6 + k. Determine b(o(y)).\nAnswer: 17*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4\/3 (b) 1\/4 (c) 3\/5 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/2? (a) -1 (b) -0.73 (c) -5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -93 + 252 - 75 + 2556*k - 84 in the form g + t*k and give t.\nAnswer: 2556","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (40\/(-18))\/(-10) + 43\/9. Solve 40 = x*q + 4*n + 9, -2*n + 23 = 5*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -187735 or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -t, l = 3*t - 0*t + 286. Suppose 0 = -9*u + 374 + l. What are the prime factors of u?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -372, -375, -378, -381?\n\"Answer: -3*s - 369","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -1 + 14 + 4*l - 61 - 20 - 15. Let b(m) = -m. Give v(b(s)).\nAnswer: -4*s - 83","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 10 = 3*k, -f - k + 7 = 0. Let d be (-4)\/6 - (-114)\/(-18). Let a be -1 + -1 - (-10 - d). Solve a + 3 = f*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2006 + 15730 = 12*k. Does 63 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1, 955, 2.78?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 4*b + 22 = -2*z, -4*b - 27 = -3*z. Suppose n + 0 = -z, 0 = a - 5*n - 23. Let h(l) = -7*l**2 + 2*l**2 + 3*l**2 + 1 - l. Calculate h(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 at least as big as 37?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 126*u**2 + 206*u**2 + 146*u**2 - 262*u**2.\nAnswer: 216*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-120)\/70*(-7)\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 145\/4*l**4 - 405\/4*l**3 - 65\/2*l + 395\/4*l**2 + 0 - 5\/4*l**5 = 0.\nAnswer: 0, 1, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w - 20. Let c be k(-14). Let u be (-33)\/c*(-4 + 6). Put 4, u, -1 in increasing order.\nAnswer: -1, 4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13477 divided by -1317\nAnswer: -13477\/1317","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 14 + 941456?\nAnswer: 94146a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -107 = -26*n + 4*u - 9, -5*n + 89*u = 93*u + 67 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 26538607 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -4967.4 rounded to the nearest 10?\nAnswer: -4970","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -3*y + 7. Let m be f(4). Let o(d) = d**3 + 7*d**2 + 8*d - 8. Let i be o(m). What is the units digit of 0 + i + 30*(-1 - -2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, d: 3, u: 3}. What is prob of sequence uu?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 42 and 6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 135122095?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sss when three letters picked without replacement from {s: 13, u: 5}?\nAnswer: 143\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 383 is divided by 39.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty-eight fifths of a litre in millilitres?\nAnswer: 17600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**2 + 7*z + 12. Let v(m) = -m**3 + 3*m**2 + 4*m - 5. Let l be v(2). Is 12 a factor of o(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 7*w + 5*w - 15 + 0*w - 8*w. Let l be v(5). Let o be (-10)\/(-6) - (-8 + 9). Which is bigger: l or o?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:00 PM and 12:20 AM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 282795 and 1048005?\nAnswer: 17816085","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21021 - -1101?\nAnswer: 22122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*u + 27*u + 24*u - 85*u + 46.\nAnswer: -2*u + 46","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 906612.451 to the nearest one hundred.\nAnswer: 906600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3847237 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -281*t**2 + 42149*t + 158. Give p(150).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -299 - -2091\/7. Let n = 29\/60 + -9\/20. Let g = 1\/5 - n. What is the third smallest value in k, 0.4, g?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 t when two letters picked without replacement from tehherhtetteehth.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2144503073 to the nearest integer?\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -2*t**3 + 3*t**2. Let u be d(2). Find the common denominator of (-2)\/4*(-61)\/u and 107\/6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + 1 + -12 - -8.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -3, 5.9, -1.3, -10?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of c**2*i**3*n + 4*c**2*i**3*t**3 - 2*c**2*n - 17*i**2*n*t**3 - 6*i*n*t + 3*i*t + n*t**2 wrt t.\nAnswer: 24*c**2*i**3 - 102*i**2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l + 9. Let r be 10 + (4 + -8)\/4. Give p(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 143634 is divided by 116.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + s = -2038, -3*k + 7*k + 1630 = -s. Let r = k - -375. Let u = -3 - -3.1. Which is the closest to u? (a) 5 (b) 0.5 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13 - -18. Let l be w\/(-10) + (-19)\/(-2). Let a = 12 + l. What is the remainder when 39 is divided by a?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes before 12:08 AM?\nAnswer: 3:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**3\/9 - 3484604*b**2\/9 + 1517811614200*b\/9 - 3035609290000\/9.\nAnswer: 2*(b - 871150)**2*(b - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 + 4*p**2 - 6*p + 2. Suppose -2*u + 6 + 72 = 0. What is the remainder when (-5)\/(-10) + u\/2 is divided by w(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*f = 39*f + 138850000. What is f rounded to the nearest one million?\nAnswer: 28000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((1*sqrt(300)*2)\/sqrt(6))\/((sqrt(160)\/sqrt(4) - sqrt(40) - sqrt(40))*-4).\nAnswer: -sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 29 - 31. Which is the closest to -1\/2? (a) f (b) -4\/9 (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**2 + 3*u + 3. Let l be a(-2). Let j be ((-2)\/l)\/1 - 21. Let m = 36 + j. List the prime factors of m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kp when two letters picked without replacement from {k: 1, w: 7, x: 7, p: 3, d: 1}?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000004 to seven decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 67073 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**2 + 388989*t + 1555939. Determine u(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.36 - 0.1. Let o = 0.06 + n. Let x = -0.5 + -2.5. What is the third smallest value in x, o, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-72)\/546 - 7\/(182\/4).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 15263?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1606?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 3*d**2 - 3*d + 2. Suppose -1296 = -6*r - 138*r. Calculate the remainder when z(-3) is divided by r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 0 + 2)*(-4*h + 4*h + 4*h) - h + 2*h - 5*h)*(-3*h + 5*h + 0*h)*(0 + 0 - 4).\nAnswer: 96*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 222389*j**3 - 8889402?\nAnswer: 667167*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 187, 185, 183?\nAnswer: 181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -2975*a**4 - 19115*a**3 + 65565*a**2 - 30465*a - 810 = 0. What is a?\nAnswer: -9, -3\/119, 3\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3\/7 - 2\/21. Let y = -9 - -9. Suppose 2*j + 4*i = 18, y = -5*j + 2*i + 3*i - 30. Which is greater: c or j?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-17540)\/7016*8\/(-230)\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**3 + 5*d**2 - 5*d + 5. Suppose -4*c = -c + 18. Calculate m(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 141 (base 6) to base 10\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1119, -1125, -1133, -1143, -1155, -1169, -1185?\nAnswer: -1203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -4491.025 to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21 + 67*q - 7 - 14)*(0 + 0 - 2).\nAnswer: -134*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2*(-1)\/12 - 26636\/(-24). Let k = -992 + n. Is k a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 628527454?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000007349 to 7 dps.\nAnswer: 0.0000073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -5 (b) -7 (c) -5\/6 (d) 2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-50)\/15*(0 + -3). Suppose 3*m - 4 = m. Let g(x) = -x**3 + 2*x**2 + 2*x - 2. Let c be g(m). Calculate the greatest common divisor of q and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = -5*q, s = 3*q + 16 + 1 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*d - 4*t + 38, -21*d + 28 = -25*d + 2*t for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**3 + 14*n**2 - 14*n + 20. Let v be i(-15). Suppose -v*k + 0*j = 4*j - 1258, 4*k - 5*j - 990 = 0. Let d = k + -98. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**3 + 4*d**2 + 3*d + 1. Let x be j(-2). Let g = 668 + -661. Let k be 78\/14 + g + 689\/(-91). Solve 3*a + 2*y = -x*y - 19, 4*y = a - k for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6016904 by 1.\nAnswer: 6016904","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 2*x**2 - 1496*x - 1178880 = 0.\nAnswer: -480, 1228","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -64, -1245, 14, 4 in decreasing order.\nAnswer: 14, 4, -64, -1245","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-20))\/1*4500\/(-11250).\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.08 + 0.38. Let r = 0 - 2. Let x(c) = -c**2 - 3*c - 4. Let o be x(r). What is the closest to o in 5, m, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-840)\/126 + 1 + 5. Which is the third biggest value? (a) -0.156 (b) 1\/5 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 8) in base 7?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 264328 divided by -132164?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 68 and ((-126)\/1911*-39)\/(1\/119)?\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t**2\/6 + 4628*t\/3 - 10709192\/3 = 0. What is t?\nAnswer: 4628","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 89486\/38 - 4\/(-38). Let n = o - 585. What is n rounded to the nearest one thousand?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000559 to 7 decimal places.\nAnswer: -0.0000056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16575?\nAnswer: 3, 5, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -6*f**2 - 6*f + 5. Suppose -5*b - 9 - 6 = 0. Let u(d) = 5*d**2 + 5*d - 4. What is b*n(c) - 4*u(c)?\nAnswer: -2*c**2 - 2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*q = -36*q + 8626. Suppose 18*i - q = 4381. What is the remainder when i is divided by 97?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -n**3 + 0 + 3*n**2 - 7*n - 2 - 13*n**2 + 5*n as i*n + z*n**2 + w*n**3 + b and give z.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 51980503 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 50268 + -21821. What are the prime factors of n?\nAnswer: 28447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*g - 3*g - 12*g + 3*g.\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -100*s - 140*s**3 - 4 + 124*s**3 + 100*s.\nAnswer: -16*s**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1\/10 of a microgram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 - 98 = -26*x. Solve 19 = -x*d + 14 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (336*q - 3 - 126*q + 1)*(-q - q + 0*q).\nAnswer: -420*q**2 + 4*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -4335, 2\/7, -46, -1\/2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 1 + (65 - (-12 - -67)) + -17 + 0\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 72 + -100. Which is the third smallest value? (a) 0 (b) v (c) 1\/5 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1793 is divided by 487?\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**2. Let a(q) be the second derivative of 6*q**2 + q**2 - 6*q**2 + 2*q. Let x(m) = m + 5. Let k(i) = -5*a(i) + 2*x(i). Determine z(k(j)).\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - -6)*(17 - (-84)\/24).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 121 = 2227*p - 2216*p. Solve -9*n - 6 = -p*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k + k - 258957888 = 0. Suppose 3*m + k = -31106016. What is m rounded to the nearest 1000000?\nAnswer: -23000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 136.772589 + 0.191811. Let b = -3281 + 3418. Let c = b - t. Round c to 2 dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (-23 - (-44 - -23 - 5)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 99414 - 99414. Determine c so that -3\/8*c**4 + k - 9\/4*c - 39\/8*c**2 - 3*c**3 = 0.\nAnswer: -6, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 85 - 29. Let v be -1*(2 - (7 - 0)). Suppose -j + v - 1 = 0. Calculate the lowest common multiple of j and i.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.3 (b) 0.24 (c) 1\/8 (d) -178\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*t - 61*t + 28*t.\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 403 is divided by 17.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.21795 * -0.813.\nAnswer: 0.17719335","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lppppppllllpllpippp. Give prob of picking 2 p.\nAnswer: 55\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes before 2:30 PM?\nAnswer: 2:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**2. Let x(m) = 5*m**2 + 4*m + 3. Let a(p) = -6*s(p) + x(p). Give a(6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 2*r**3 + 2*r**2 + 1628*r + 11477. Give s(-7).\nAnswer: -507","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1\/3))**11\/((j*j**(1\/4))\/((j*j**(-4\/7))\/j))*((j\/(j*j*j*j\/j**13*j*j))\/(j**(-2\/33)*j))**(8\/7) assuming j is positive.\nAnswer: j**(795\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 8*r**2 - 8*r**2 + 44*r**2 - r - 1. What is the tens digit of n(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (16 + 2348\/20)*5 is divided by 213?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -2*l**2 - 2*l - 3. Let k be 12*(2 + (-5)\/2). Let d(z) = z**3 + 6*z**2 + 4*z - 12. Let s be d(k). Let r = s + 34. Give w(r).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5964 + 5821. Let s = -402 - -1662. Let x = u + s. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwp when three letters picked without replacement from {w: 4, p: 3, u: 1}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5 + 2 + (4 - 2). Let m(q) = a*q - 6*q - 5*q. Let r(d) = 4*d**2. Calculate m(r(b)).\nAnswer: -8*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a decade in months?\nAnswer: 312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 576 and 112968.\nAnswer: 903744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ihqw when four letters picked without replacement from qiqwhwwivwvr.\nAnswer: 2\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 95647373 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-5)\/(-3))\/((-2)\/(-36)). Suppose 70 = 5*q - d. Suppose -17 + 5 = -4*w, 0 = 4*m + 2*w - 246. Calculate the greatest common factor of m and q.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**2 + 3*i + 1. Let g be d(3). Suppose -2*k = 2*k - 12, 2*v - 4*k + 8 = 0. Let z(c) = c - g - 4*c + v*c - 2*c. Give z(3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6715\/17*12\/15?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*(j\/(j**(-13)\/j))\/j*j)\/j)\/j*j)**(-1\/17)\/((j\/(j**(-5)*j)*j)\/j**35) assuming j is positive.\nAnswer: j**(478\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -6*s + 10. Let q be o(0). Find the second derivative of -9*n**2 - 51*n - q*n**2 - 10*n**2 + 52*n**2 wrt n.\nAnswer: 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 627577632?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 9*p = z - 3, 2*p + z - 1 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -122.3 - -18.4. What is s rounded to the nearest ten?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 142*q**5 - 86*q**5 - 148*q**5 + (7*q - 2*q - 3*q)*(-2*q**4 + 2 - 2).\nAnswer: -96*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.17 - 0.22171070799.\nAnswer: -0.39171070799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -30\/77 and 33\/35.\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1213 - 1458 = -49*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3530 to the power of 1\/2, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20*g**3 + 383152*g**2 + 1832306384*g - 26464722048.\nAnswer: 4*(g + 9586)**2*(5*g - 72)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**2 + 67*w + 6712. Let q be a(122). Let k = 134 - 71. Do k and q have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 z when two letters picked without replacement from olxozgv?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**3 + 13*g**2 - 7*g + 7. Let f be p(12). Let h(i) = -1 - f*i + 66*i + 2. Let z(r) = 10*r - 14. Give -12*h(q) - z(q).\nAnswer: 2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*t**3 - 31*t**3 + 4*t**3 + 17*t**3 + 4*t**3.\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12*c**2 - 150*c - 27568.\nAnswer: 24*c - 150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 948 + -885. Calculate the remainder when d is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -21*x + 46*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**2 - 14. Let f(w) = -14*w**2 + 512*w + 682. Let o(i) = -12*c(i) - f(i). Determine m so that o(m) = 0.\nAnswer: -1, 257","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - 7*b = -2*b - 42, -3*b = -i - 22 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 34802575 to the power of 1\/3, to the nearest integer?\nAnswer: 326","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -45211.3 + 43009. What is h rounded to the nearest one hundred?\nAnswer: -2200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20.37274 nanograms to milligrams.\nAnswer: 0.00002037274","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/8 - (-138)\/24. Let v be ((-2)\/4)\/(20\/(-120)). Find the second derivative of -k*o**3 + 0*o**3 + 5*o**v + 10*o**5 - 8*o wrt o.\nAnswer: 200*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.37 - 14.63. What is the third smallest value in -5, 2\/7, -4\/9, k?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(2\/7)*z*z)**(-37)\/(z**2\/z*z*(z\/((z*z*z\/(z**(-1\/6)*z)*z)\/z*z))\/z))\/((z**(2\/21)\/z**(-4))\/(z**(-1\/4)\/(z\/z**(-2\/3)))) assuming z is positive.\nAnswer: z**(-1073\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -4*h - 4*h**2 + 4*h. Let j(g) be the third derivative of g**4\/24 - 189*g**2. Calculate i(j(t)).\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1793 divided by 3?\nAnswer: 1793\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13059326?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 47 = 2*o, -k - 2*o - 2 = -21. Solve -5*c - k*c - 12 = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -8*(97002\/5712 + (-51)\/3). Factor 6\/7*v**4 + n*v**5 - 1\/7*v**3 + 0*v + 0 - 6\/7*v**2.\nAnswer: v**2*(v - 1)*(v + 1)*(v + 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23542826?\nAnswer: 2, 31, 379723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 - 3)*2\/4 + 4. Solve 3*x = -2*x - 2*h - 9, 5*x + u*h = -6 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 173\/6864 and -167\/6798.\nAnswer: 706992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -3*l + 8. Let a = -1367 + 1369. Let t(d) = -4*d + 9. Determine a*t(g) - 3*k(g).\nAnswer: g - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-4)\/(-6))\/((-16)\/7416). What are the prime factors of 2\/(((-10)\/k)\/5)?\nAnswer: 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + k**2)*(2*k**2 + 6*k - 6*k) + k**3 - k**3 + k**4 - 57*k**4 - 56*k**4 + 104*k**4.\nAnswer: -6*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*l = 32*l - 46 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -4*m + 3*m - 4*k, 4*k = -3*m - 4. Let a be 1*m*1\/2. Solve 4*w = a*j - 10, -2*w + 5 = 2*j - 5*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -277*y - 1939. Let o be h(-7). Let g(x) = -2*x**2 + 2*x + 121. Determine g(o).\nAnswer: 121","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9.223 + 902789.\nAnswer: 902798.223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3*8\/108*-111*3. Suppose -2*p + 70 = -y, 5*p - 5*y - b = 101. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 562.9 to the nearest ten.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12100 + -213102?\nAnswer: -201002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c = 4*r - 24, 53 - 35 = 5*c + 3*r for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 71 = 21. Suppose 15*t = 13*t. Suppose u + t = 8. Which is smaller: z or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4753 divided by -7?\nAnswer: 679","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (471\/(-314))\/(21\/(-392)*-4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add 1.2172 and -1459.15.\nAnswer: -1457.9328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the first derivative of 2776*j**7\/7 - j**4\/4 + 1921*j**3\/3 - 8248. What is the third derivative of t(f) wrt f?\nAnswer: 333120*f**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 185 and 42365?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(5*(sqrt(22)\/(sqrt(14)\/(sqrt(252) + sqrt(7))) - (sqrt(11) + sqrt(539)*1 + -1)))**2.\nAnswer: -100*sqrt(11) + 600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in twelve sevenths of a week?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -2*d**2 - 8*d + 1. Let z be s(-3). What are the prime factors of (-2910)\/(-14) + z*(-3)\/(-147)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -811*r**3 - 323*r**2 wrt r.\nAnswer: -4866","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rqqrmmmmemqm. What is prob of sequence re?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-30*s + 3*s**4 - 6*s**4 + 31*s)*(-4 - 2 + 4)*(0 + 77 + 5).\nAnswer: 492*s**4 - 164*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -50 divided by 204047\nAnswer: -50\/204047","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**2 - d. Let v be j(-2). Let m be ((-3)\/(-2))\/(v\/8). Let s(a) = m*a + 3*a - 3*a + 0*a. Let x(z) = 2*z. Give s(x(b)).\nAnswer: 4*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 11262 to the power of 1\/2, to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/10*2\/1. Let s = -246 - -245.6. Let j = 188 - 188. Which is the third biggest value? (a) s (b) j (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the second derivative of -89*n**6\/30 + 38*n**3\/3 - 25*n. What is the second derivative of p(o) wrt o?\nAnswer: -1068*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 s when two letters picked without replacement from ggsvvvgvgtgggv.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000233652558 to six decimal places.\nAnswer: -0.000234","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the third derivative of r**6\/24 + r**5\/3 + 103*r**3\/6 - 3*r**2 - 14. Differentiate i(x) with respect to x.\nAnswer: 15*x**2 + 40*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 4*h - 1, 2*h = -10*i + 7*i + 13. Is -31\/5 > i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 8. Let h(b) = b + 11. Let d(m) = 3*h(m) - 4*w(m). What is d(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13524.\nAnswer: 2, 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, 2\/13, 24?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 2 d when four letters picked without replacement from dddsdsdssssdd.\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 6 = 2*i, 4*i = -3*l - 7 - 3 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((p*p\/p**(1\/3)*p)\/p)**26)**48)**(-1\/18))**(-2\/9) assuming p is positive.\nAnswer: p**(2080\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 1 - 1 = 0. Let i be (a - (-51)\/(-6))*4. Is 0.2 <= i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1025*k - 200 = -1005*k for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 207462 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -2*p**3 - p**2 + 2*p - 1. Let j be m(1). What is the least common multiple of (-3)\/j*(6 - 2) and 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*j**4 + 56*j**3 + 212*j**2 + 160*j = 0. Calculate j.\nAnswer: -8, -5, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12347 - 518543\/42. Calculate the common denominator of y and -17\/273.\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-3)\/(-5))\/((-8)\/(-40)). Solve a*d + 10 = -5 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -47326, -94690, -142028, -189328, -236578, -283766, -330880?\nAnswer: -377908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2404? (a) -15 (b) 50\/9 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 2*k - 64 = 0, 3*k + 42 = 4*u - 26. Put u, -2, 3 in descending order.\nAnswer: u, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -558 divided by -269282?\nAnswer: 279\/134641","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -52284255 divided by -15\nAnswer: 3485617","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l**3 + 3*l**3 + 3*l**3)*(3*l**2 + 0 + 0).\nAnswer: 21*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.7 - -3.3. Let u = -1 + 0. Put h, u, 3\/5 in ascending order.\nAnswer: u, 3\/5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -27 + 13. Let w(r) = r**3 + 13*r**2 - 14*r + 4. Let n be w(s). Solve -z - b = 6, -z + b - 8 = n*b for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -2*h**5\/3 + 80*h**4\/3 + 2*h**3 - 244*h**2\/3 + 160*h\/3 = 0.\nAnswer: -2, 0, 1, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 115*v**3 + 224952*v**2 + 328451148 wrt v?\nAnswer: 345*v**2 + 449904*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the first derivative of 17*c**3\/3 - 31*c**2\/2 - 23. What is the second derivative of b(f) wrt f?\nAnswer: 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-3*3*-1*sqrt(132))\/(sqrt(60)\/(sqrt(45) - sqrt(5)) + (-4*sqrt(48))\/sqrt(4))*-6.\nAnswer: -324*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(270) - sqrt(270)*2 - sqrt(30) - sqrt(30)) + sqrt(30))\/sqrt(10) + -3 + -2.\nAnswer: -4*sqrt(3) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -4*h, -3*c + 12 = 2*c + h. Let f(o) = o**2 - o. Give f(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65262673.\nAnswer: 7, 29, 59, 5449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2 + 18*i - 28.\nAnswer: -2*(i - 7)*(i - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*q**3 - 2 + 2*q - 5*q**3 + 2*q**3)*(3 - 2 - 2).\nAnswer: -2*q**3 - 2*q + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 4655.743l?\nAnswer: 4655743","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -75\/2 - -38. Which is the closest to z? (a) -3\/2 (b) 0.1 (c) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*q - 12 = 6 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b5374 (base 13) to base 4\nAnswer: 1033201332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 167 divide 169816789?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1481 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes before 7:03 PM?\nAnswer: 5:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.422043 to 2 dps.\nAnswer: 0.42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 89 divide 17429672?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xr when two letters picked without replacement from {r: 1, x: 7}?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -5aaa3a (base 14) in base 4?\nAnswer: -23311200030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -78 - -175. What is the remainder when x is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - -2440\nAnswer: 2438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 173 = 3*x, 4*x + 40 = r - 0*r. List the prime factors of r.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**2 + 14. Suppose 5*a + 103 = 213. What is the smallest common multiple of w(0) and a?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10 + 2*v - 5 - 6 - 3 - v + 3 + (-1 + 5 - 2)*(2*v + v - 2*v) + 2*v + v - v to n*v + m and give n.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3.4 in -2\/11, -4, 1\/2, -1\/4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w**2 + 2*w = 0. Calculate w.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2 (b) 3885 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (1\/3)\/(2*(-2)\/36)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(135)\/sqrt(5))\/sqrt(9) - (sqrt(27) + -5)) + -1 + -4)**2.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h**4 + 0*h**4 + 4*h**4)*(2*h + 3 - 3) - 18656 - h**5 + 18592 - 3*h**5.\nAnswer: 2*h**5 - 64","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 67 + -64 + 3 + -3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -75 + 227\/3. Let x = -1.68 - 0.82. Let k = -0.5 - x. Sort -0.5, g, k in ascending order.\nAnswer: -0.5, g, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) -3\/4 (c) 2\/995 (d) 2\/5 (e) -2\/3 (f) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k**2 + 0*k**2 + k**3)*(-3 + 5 - 1) + 0*k + k**3 + 0*k + (-5 + 1 + 2)*(2*k**2 - 2*k**2 + 2*k**3) + 4*k - 4*k + k**3.\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + -8 + (11 - 4) - (8 + -3).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1130018803 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 b, and 1 v when three letters picked without replacement from bvbvaaauuwvxwv?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (150\/375)\/(19\/(-5))?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 120*d**2*k**4 + d**2*k**3 - 169*d**2*k**2 - d**2*k + 9*k**3 - 2*k**2 wrt k.\nAnswer: 2880*d**2*k + 6*d**2 + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are 2.71 and -0.2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvv when three letters picked without replacement from zvizzvzzviiizzzv?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**2 - 7*u - 5. Let z be i(-6). Let a = 1 + z. What is the second derivative of a*o + o + 2*o**2 - o wrt o?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + (sqrt(480)\/(2*sqrt(12)))\/sqrt(8) + (4 + sqrt(25)\/sqrt(5))*2*6)*-5)**2*-3.\nAnswer: -1014675\/4 - 95625*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (-2 - 42\/(-48))\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29080, 58716, 88352, 117988, 147624?\nAnswer: 177260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i + 3*j + 12, 3*j + 12 = 3*i + 8*j. Suppose i*a = f - 12, -f - 3*a = -2*f + 12. Suppose -k - f = -4*k. Sort 2, -2, k in increasing order.\nAnswer: -2, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6653, -13225, -19797?\nAnswer: -26369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 53 + -110. Let m = -24 - q. Let s = m + -33. What is the third smallest value in -1\/4, s, -0.1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + c**4)*(-22 + 171 - 14 + (0 + 1 - 2)*(-2 + 4 + 0) + 0 - 1 - 1 + 3 - 4 + 2 + 5 + 2 - 4 + 0 - 7 + 0).\nAnswer: 128*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 24\/9*(-5 + (-2)\/(-4)). Is o\/3 + 4 - -75 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -313 (base 6) to base 7.\nAnswer: -225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, g: 2, d: 2, e: 4, u: 3, z: 2}. What is prob of sequence ugu?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**3 + 5*v**2 + 6*v + 3. Let i be r(-2). Suppose -5*k = -2*b + 26, -4*k - i = 3*b + 4. Calculate the remainder when 15 is divided by b.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22 + (-4 - (-1 + -10 + 6 - 6))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -23b0 + 0?\nAnswer: -23b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 37\/17308 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the third derivative of -l**6\/1020 + l**5\/10 + 40*l**4\/51 + 36*l**3\/17 - 5*l**2 - 9*l. Factor t(d).\nAnswer: -2*(d - 54)*(d + 1)*(d + 2)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 186 and -1236571.95421?\nAnswer: 1236757.95421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - ((18 - (17 + -10)) + -6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20404182?\nAnswer: 2, 3, 17, 200041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (66*(-177)\/(-1298))\/(12\/(-14))\nAnswer: -21\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a minute in seconds?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-12)\/204 - (-1)\/17. Let t(g) = -2*g**2 + 2*g**3 - 1 - 2 + 4*g - g**3. Let n be t(2). Put r, n, -6 in decreasing order.\nAnswer: n, r, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4 or 3474.79?\nAnswer: 3474.79","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 33*g - 11*g**3 - 33*g + (1 - 1 + g)*(3*g - 3*g + 2*g**2).\nAnswer: -9*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*r = 3*r - 306. Calculate the remainder when 1800 is divided by r.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**3 - 2*c**2 + c + 64. What is b(0)?\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 592, 590, 586, 580?\nAnswer: 572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r**2 + r**2 - 5*r**2)*(-4*r**3 + 5*r**3 + 0*r**3).\nAnswer: -6*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16\/1429 - -435749\/8574. Let b = -51 + l. What is the nearest to -3 in -3, 1\/3, b?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4660781 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2284 - -2287. Solve -f*n + 3*y - 8*y = 16, -5*n = 3*y for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 4*n - 8 - 3 + 14.\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12676.53051 seconds to weeks.\nAnswer: 0.020959871875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61547*v + 47421*v + 20309*v - 7140*v.\nAnswer: 122137*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -4*z - 27. Give c(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 428240427 and 69.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 - -2.78. Let a = 0.98 + -0.9. Let z = i - a. What is the nearest to 0 in -2, z, 1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -2*y + 5*y + 4, 10 = 4*y - 5*z. Suppose 4*a - 38 + 6 = y. Calculate the greatest common factor of 8 and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -3*z + 3756 - 582, z = 5*t + 1058. Calculate the highest common factor of z and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**2 + 5*x + 4. Suppose 0 = 7*a - 4*a + 126. Let f = 47 + a. Determine o(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide (-12275)\/(-25)*3\/6*4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**3 - 10*z**2 + 18*z + 17. Let j(m) = m**3 - 9*m**2 + 19*m + 17. Let p(a) = -6*b(a) + 5*j(a). Calculate p(14).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 19 - (-1 - -2)*-1. What is the tens digit of (-3)\/(-15) + 336\/m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 + 15 = 3*j, -5*j - 9 = -4*w. Let r be (15 + (3\/(-1) - 0))*w. Solve -3*l = -9*l - r for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 199330 to the power of 1\/2, to the nearest integer?\nAnswer: 446","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40506917.\nAnswer: 11, 19, 193813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -18*w**2 + 6*w + 1. Let s be (-6)\/9*28*18\/48. Let c(u) = -17*u**2 + 7*u + 1. Calculate s*n(b) + 6*c(b).\nAnswer: 24*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -126.4 - -126. Which is the nearest to 3? (a) 4\/3 (b) 2\/3 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3346.869941 - -3345.9. Let z = 0.97 + a. Round z to five decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 3*v - 39 = 0, -4*t - 259*v + 254*v = -52 for t.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 29822?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5096 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**3 + 20*b**2 + 39*b + 12. What is the units digit of s(-14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 25 and -4341.3016546.\nAnswer: -4316.3016546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 34542*l**4 - 8954*l**3 - 672899919.\nAnswer: 138168*l**3 - 26862*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 429.1475 micrograms to milligrams.\nAnswer: 0.4291475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 + -4. Let l = 1 + g. What is the units digit of l\/(3 - 52\/16)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence el when two letters picked without replacement from elqll?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q*q**(3\/10)\/q*q)*q)**33 assuming q is positive.\nAnswer: q**(231\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -10*o**5 + 15*o**2 - 5*o + 5. Let k(a) = a**2 - a + 1. Let f(h) = 5*k(h) - m(h). Find the third derivative of f(q) wrt q.\nAnswer: 600*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 244738094*u**4 + 192*u + 110234?\nAnswer: 2936857128*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 + (-344)\/(-16))*(-1)\/(-14)?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, s: 3, w: 1, z: 7}. Give prob of sequence qw.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 4415658, 8831314, 13246970, 17662626, 22078282, 26493938?\n\"Answer: 4415656*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1092367.\nAnswer: 19, 57493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = 3*m - 15, 5*m - 15 = -d + 10. Suppose -4*s - 5*y + 3*y + 82 = d, -2*y - 107 = -5*s. What is the remainder when s is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from yiiyyy.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-6)\/(b**1\/b))**(-2\/19)\/(b**4*b*b\/((b\/((b**(-6)\/b*b)\/b))\/b)*((b\/((b*b\/b**(2\/3))\/b))\/b)**(2\/7)) assuming b is positive.\nAnswer: b**(689\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -3*q + 1 + 2 - 7 + 2*q. Let g be n(-6). Let m = 1 + g. Solve -5*u - 11 = -4*d - m, d = 3*u + 9 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/8 of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -115697, -231384, -347055, -462710, -578349?\n\"Answer: 8*m**2 - 115711*m + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -116 + -7?\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/14*-1)\/((-1)\/7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 150918?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(-7)*q\/(q*(q*q\/q**10)\/q)*q*(q*(q**10*q)\/q)\/q*q**5)**(-29\/5) assuming q is positive.\nAnswer: q**(-957\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/903100 and -81\/1149400?\nAnswer: 12643400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/13, 1\/3, 0, 147, -0.1 in descending order.\nAnswer: 147, 1\/3, 0, -0.1, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 6, 9, -12, -69, -174, -339?\n\"Answer: -2*j**3 + 17*j - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 24, 59, 96, 135?\n\"Answer: x**2 + 32*x - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*m**2 + 2*m**2 + 3*m**2)*(5 - 5 - 5*m**2) - 5*m**4 + 5*m**4 + 8*m**4.\nAnswer: 18*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 - ((-1 - 3) + 3). Solve p - 3 = -x - 2, -19 = c*p - 5*x for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the first derivative of p**7\/14 - 23*p**6\/40 + 3*p**5\/2 - p**4\/2 - 4*p**3 + 7*p**2\/2 - 39. Let b(l) be the second derivative of s(l). Factor b(r).\nAnswer: 3*(r - 2)**2*(r - 1)*(5*r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -3\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -5*a - 1. Let w be i(-1). Suppose 9*f - w*f - 40 = 0. Let k(r) = r + 16. Let z be k(-14). Calculate the greatest common divisor of z and f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/(s\/s**(5\/4))*(s*s**(-2\/13))\/s*(s\/((s*s**1)\/s*s))**15 assuming s is positive.\nAnswer: s**(-723\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.1 or -3051?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 16413054 + -106?\nAnswer: 16412645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/4532 and 43\/8.\nAnswer: 9064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 + 11. Let k = -24315\/11 + 2211. Sort d, 0.3, k, -0.1 in increasing order.\nAnswer: -0.1, 0.3, k, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -7*c**3 - 11*c**2 - 3*c - 6. Let v(w) = -8*w**3 - 13*w**2 - 3*w - 7. Calculate -6*r(o) + 5*v(o).\nAnswer: 2*o**3 + o**2 + 3*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4983.\nAnswer: 3, 11, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -2*c + 29 - 0, -2*u = -10. Suppose -c = 2*s - 3*s. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, b: 4, n: 10, h: 2}. What is prob of sequence bnbb?\nAnswer: 1\/238","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19 - 3*d + 43 - 10 - 11.\nAnswer: -3*d + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xnjz when four letters picked without replacement from jyxyxxjzllznjjln.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*z**3 + 7520 - 7520 + 532*z**2.\nAnswer: -4*z**3 + 532*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 2 = i. Suppose 3*t = 5*t + m - i, 2*t + 16 = 4*m. What is the nearest to t in 0, -5\/4, -0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) 0.2 (c) -105\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 406859 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.4, -1\/3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1145*0.005\nAnswer: 5.725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12 - -17. Let a(h) = -h**2 + 4*h + 2. Let r be a(c). Let s be (10 - (5 + -2)) + r. Solve -s*q - 14 = -v, 5*v - 10 = 2*q + 6 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes after 1:31 AM?\nAnswer: 11:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -2*b**2 - 17*b - 14. Let r = 58 - 33. Let u be ((-28)\/10)\/(10\/r). What is the least common multiple of 39 and f(u)?\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -19*c**2 - 9*c**3 + 19*c**2 + (2 - 3 - 1)*(-9 + 59 + 3)*(-2*c**3 - 2*c**3 + 3*c**3).\nAnswer: 97*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1137, 1250, 1437, 1698, 2033, 2442, 2925?\n\"Answer: 37*n**2 + 2*n + 1098","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:28 PM and 12:16 AM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 56*p - 300. Calculate u(26).\nAnswer: 1156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-3)*d**(-4\/5))\/(d**1*(d\/d**19)\/d))**21 assuming d is positive.\nAnswer: d**(1491\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 = 2*x + x. Does 17 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**3 - 6*s**2 + 4*s - 15. Let x be g(6). Which is smaller: 10 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1003444422 + -12?\nAnswer: 1003444410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1\/33 + 43\/330. Which is the closest to -1? (a) -1 (b) h (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the first derivative of v**5\/15 - v**4\/8 - 3*v**2\/2 + 8. Let f(l) be the second derivative of p(l). What is the second derivative of f(m) wrt m?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 84099 and 7225?\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.08 or -30809?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -127337 divided by 18191.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-44)\/176)\/(2\/(-24)). Solve -4*l = 2*c + 12 + 6, 8 = -l + v*c for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-eight fifths of a litre?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2164, -2, 0, 3, 5 in ascending order.\nAnswer: -2164, -2, 0, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 977 divide 237927833?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 337 = -5989. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 267408137, 534816273, 802224407, 1069632539, 1337040669, 1604448797, 1871856923?\nAnswer: 2139265047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -2*j**2 - 6*j - 11. Let h(u) = -6*u**2 - 17*u - 32. Let r(k) = -6*h(k) + 17*t(k). Let b(w) = -2*w**2 - 6. Let v = 7 + -1. Give v*r(a) + 5*b(a).\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -500601, -2002544, -4505831, -8010462, -12516437, -18023756?\nAnswer: -24532419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 - -8. Suppose 0 = n*g - 3*g + 8. Suppose 0 = 2*z + 3*f - 4, z - 11 = 4*f + 13. Are g and z unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o + 2. Let d(n) = n - 3. Let g(x) = 7*d(x) + 6*v(x). Calculate g(9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 136.22364 microseconds in weeks?\nAnswer: 0.0000000002252375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 25363 = 5*f + 2*v, -4*v = -5*f + 25339. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*y + 106 + 108*y**2 + 12*y - 199*y**2 + 91*y**2 - 2*y**3.\nAnswer: -2*y**3 + 106","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -273374822.11 - -459.\nAnswer: -273374363.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 3*m + 5 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the first derivative of j**6\/5 - 23*j**3\/2 + j**2 + 13*j - 8. Let p(h) be the second derivative of k(h). Differentiate p(x) with respect to x.\nAnswer: 72*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 645465 is divided by 35?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1476 - -2172. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18610?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 2 v when three letters picked without replacement from yuvuuyuvuvv.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t - 5*u = -3*t - 10, 5*t + 6 = 3*u. Let y(x) be the second derivative of -x**4\/12 - x**3\/6 + x**2 + 8*x. Let s be y(t). Solve 0 = s*q - 3 - 7 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 35598*g**3 + 390033*g?\nAnswer: 213588*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -6\/5 (b) -0.3 (c) 0.5 (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 2*p = m - 6, m - 5*p = -15. Suppose m = -2*c - 4*v + 108, 0 = 4*c - 0*c - 3*v - 205. What is the tens digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 113*o**2 + 15*o**4 - 185*o**2 - o**3 - 200*o**2 + 523*o**4 wrt o.\nAnswer: 12912*o - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes after 1:07 AM?\nAnswer: 7:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -3*a - 3. Let t be 0*1\/a + 17. Let u = -12 + t. Solve -u*k = -k - 16 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.4 and 7869.\nAnswer: 7869.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r - 4*y + 17 = -2*r, 11 = 5*r + 2*y. Let m = 922 - 4571\/5. Let b = -7 + m. What is the nearest to r in -2\/7, b, -1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/345322031 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13 - -18. Suppose 15 + b = -5*w. Let a be (w\/(-10))\/((-6)\/(-30)). Solve 5 = 3*x + a for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 217 = -4*o + 9*h, -83 = 1526*o - 768*o - 762*o - 3*h for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -10061*r - 5684475. Calculate l(-565).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2066551\/19 or -108767?\nAnswer: -108767","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**17*y*y**(-7\/6)*y*((y*y\/(y*y\/(y*y**(-20))))\/y*y)\/(y*y**(-1\/3)))**(-2\/5) assuming y is positive.\nAnswer: y**(11\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -2*l**2 - 31*l - 13. Let j be q(-3). Calculate the greatest common factor of j and 4247.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 45 = 5*f + 18, 3*f = 5*w + 39. Let g(a) = -a**2 - 3*a - 3. Calculate g(w).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 344*c + 2663. Is q(75) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 555, 627, 751, 933, 1179?\n\"Answer: q**3 + 20*q**2 + 5*q + 529","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1721107, -1720898, -1720689, -1720480, -1720271, -1720062?\n\"Answer: 209*w - 1721316","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 > 132998\/23739?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 2 = 0, 2*t = -4*m + 7*t + 33. Suppose 5*x - 3 = m. Find the third derivative of -q**2 + 4*q**2 + 6*q**x + 6*q**4 wrt q.\nAnswer: 144*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.304131 + -0.27641. What is a rounded to three dps?\nAnswer: 0.028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -4*v + 2*h - 8, -4*v = -h - 7. Suppose 3*u - v*p - 6 = 0, 5*u + 0*u - 7 = 2*p. Suppose u - 25 = -4*q. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 631*g. Let y(a) = -3*a + 6. Let z(r) = -1. Let f(c) = y(c) + 6*z(c). Give h(f(s)).\nAnswer: -1893*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 6 = u. Suppose m = -u*o + 6, 0*m = m + 4*o - 7. Suppose -5*p + 12 = -p, -2*p + 24 = -m*s. Which is smaller: s or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1241 - -3883. Let l = -242 + r. Let u = l - 1213. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 843*m**3 - 286*m**3 - 295*m**3 - 255*m**3.\nAnswer: 7*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 11, 0.2, 0.2792, 1\/9, 0 in ascending order.\nAnswer: 0, 1\/9, 0.2, 0.2792, 2, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -186, -175, -150, -105, -34?\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 129 > -1615?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59*l**2 - 28*l**2 - 13*l**2 - 16*l**2.\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 35*q**2 - 4*q - 2. Let k(l) = -11583*l**2 + 1326*l + 663. Let v(p) = 6*k(p) + 1989*y(p). Let i(c) = -21*c. Determine i(v(u)).\nAnswer: -2457*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 47*g - 1. Let f be k(1). Let n = -59 - -269. Suppose -27*v = -411 - n. Calculate the highest common divisor of v and f.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 43 - 257\/6. Let z = 263.93 + -265. Let s = z + 1.37. Which is the nearest to y? (a) s (b) 3\/8 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 9280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*u - 11*u + 7467 = 111*u. What is the remainder when 1468 is divided by u?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -283 - -448. What is the common denominator of (f\/24 - 3)\/3 and 55\/48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h - 5*h**4 + 3*h**4 + h**4)*(-4*h + 0*h - h) - 4*h**3 - h**5 + 4*h**3.\nAnswer: 4*h**5 + 5*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 2*p = 8, -4*p + 6*p + 8 = -2*t. Sort t, -2, 30, -1.\nAnswer: -2, -1, t, 30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 2*a + 2 + 1 + 1.\nAnswer: 2*a + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ninety-seven halves of a microsecond in nanoseconds?\nAnswer: 48500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -56*j - 3. Is m(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**3 - 5*k**2 + k + 1. Is c(8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -10*p + 375. Let n = 659 - 622. Let t be v(n). Let -1\/5*x**3 + 1\/5*x**2 + 0*x + 1\/5*x**t - 1\/5*x**4 + 0 = 0. What is x?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 + 1\/(-18)*47. Let d = 11\/6 + f. Which is the second biggest value? (a) d (b) -1\/5 (c) -0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24344521 (base 8) in base 9?\nAnswer: -11068423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 140 and 44?\nAnswer: 1540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1071 plus 0.22?\nAnswer: -1070.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 0*s + 20 = 5*s, -5*k + 21 = -2*s for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 67.92195cm to meters.\nAnswer: 0.6792195","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -18 + 2 - (-2145 + 2112)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 d when two letters picked without replacement from dddcdccdccdccd?\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 3:02 AM?\nAnswer: 4:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((1 + -3)\/(-8) - 15\/10) + 1. Which is the biggest value? (a) 3\/320 (b) s (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -24*s**3 - s**2 + s - 1. Calculate f(1).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*f - f + 3*f)*(-100 - 1 + 11 + (-1 + 5 - 3)*(0 - 5 + 3)) in the form c*f + t and give c.\nAnswer: -368","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 a factor of 9063198?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 15688290?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) -17 (c) 52 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-74)\/37*2\/(-38)\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86*v + 48*v - 9963 = 331*v for v.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41458870 divided by -10.\nAnswer: 4145887","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2189.513 - -446.97614.\nAnswer: -1742.53686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*b - 542*b**2 - 12*b**4 + 542*b**2 + (0*b - 3*b + b)*(-5*b + 5*b - b**3).\nAnswer: -10*b**4 - 2*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-2))\/((-44)\/(33\/3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1019*s + 53178 = -1848 for s.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13446.\nAnswer: 2, 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-27)\/3*1\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-1\/11)\/y*y*y\/y**3*y*(y*y*y**11*y*y)\/(y**(2\/51)*y) assuming y is positive.\nAnswer: y**(7220\/561)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/8*8\/(-144)*(-12)\/(-8).\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(11\/5)*k*k**(7\/4)*(k**(-4))**40 assuming k is positive.\nAnswer: k**(-3101\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -44, 2, -120 in descending order.\nAnswer: 2, -3, -44, -120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -181*y + 211 = -190*y + 22 for y.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 22\/105 and -13 - (1 - 5) - 407\/(-60).\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, 4, 50.3923045?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -92 + 358. Let h = -167 + y. List the prime factors of h.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k - 755*z + 757*z + 35174, 2*z = -5*k + 58586. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 296.1 and 21.532?\nAnswer: 274.568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/5 of a millennium in years?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 281656 and 74556.\nAnswer: 2534904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -72 - -72. Suppose c = -21*k + 25*k. Suppose -4*i + 32 - 12 = 0. Solve 0 = i*o - k*o + 5 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -58473, -58471, -58469, -58467?\n\"Answer: 2*k - 58475","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -292 take away 57?\nAnswer: -349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -11096? (a) 2 (b) -3 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*h**4 - 2*h**4 + 0*h**4 - h**2 - 2*h**4 + h**2 + (2*h**3 - h**3 - 2*h**3)*(0*h + 0*h - h) as i*h**3 + k + v*h**4 + c*h**2 + t*h and give v.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, 1641, 0.3, -2\/9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -208 + 2307. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1550?\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3670637 (base 9) to base 7.\nAnswer: 22646341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 8 - 6*g)*(0*g + 2*g + 0*g)*(3*g**2 - g**2 + 14*g**2).\nAnswer: -192*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8693844, 17387688, 26081532, 34775376?\nAnswer: 43469220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7399925*i*p - 2*i - 2*p - 6315890 wrt i.\nAnswer: -7399925*p - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (246\/7011)\/(12\/19).\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17578*y + 27082*y - 9530*y.\nAnswer: -26*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -10*z + 20. What is the nearest to -0.1 in -3, 0.1, z?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(1\/2))\/i**(2\/25)*(i\/(i**(2\/17)*i)*i)\/i*i*i**7\/i*(i**(-2\/9)*i\/(i*i\/(i\/(i*(i**(-5)\/i)\/i))*i))**21 assuming i is positive.\nAnswer: i**(274471\/2550)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 - -10?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1d68 (base 14) to base 3.\nAnswer: -21101102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*y**2 + 11*y**2 - 207*y**4 - 32*y**2 - 1 + y - 2*y**3 + 12*y**2 in the form z*y**3 + a + m*y**2 + n*y + r*y**4 and give r.\nAnswer: -207","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -36 (base 11) to base 12\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -d**2 + 0*d**4 - 2*d**4 + d**3 - 2 + d**2 to the form b*d**4 + o*d**2 + k*d + m + x*d**3 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**2 - 14*x + 7. Determine p(-14).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.769702ml to litres.\nAnswer: 0.001769702","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1535.5 - 1539. Let z = 1.8 + 4.4. Let g = -6 + z. What is the biggest value in -0.4, n, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -44, -174, -390, -692?\nAnswer: -1080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10 and 75370.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the first derivative of 3*h**4\/2 + 4*h**3\/3 - 2*h**2 - h - 14. List the prime factors of j(2).\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4183056 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -698 - -516. Let d be ((-104)\/b)\/((-6)\/105). Sort 2\/17, -2\/7, -2\/3, d in increasing order.\nAnswer: d, -2\/3, -2\/7, 2\/17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -837b (base 14) in base 9?\nAnswer: -34055","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 217 - 42. Suppose -w*d + 182*d = 94654. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -4*r**2 - 6*r + 17*r - 11*r + 4. Let n be 1*(-6 - (-3 + 0)). Let z(q) = 5*q**2 + q - 5. What is n*k(i) - 2*z(i)?\nAnswer: 2*i**2 - 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 21986.9559 nanoseconds?\nAnswer: 0.00000000025447865625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes after 11:29 AM?\nAnswer: 1:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-2838)\/40678 + (-34074)\/(-258)\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -341, -682, -1023, -1364?\n\"Answer: -341*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -429\/7 - -61. Let f = -81 - -51. Let a = 33 + f. Do a and y have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 809967928?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3aa83 (base 12) to base 10.\nAnswer: -81027","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/9 - (-44)\/(-12)*-10. Let l = -2123 - -1475. Let k be (1 - (0 + 0))\/((-2)\/l). Calculate the greatest common factor of j and k.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(891)*-2)**2 + 0 + (sqrt(891) - (1 + (sqrt(891) + 1)**2))) + (-6*4*(sqrt(891) + (sqrt(891) + 1 - sqrt(891))))**2 + -2.\nAnswer: 10332*sqrt(11) + 524474","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*v**2 + 4*v**2 + 10*v**2.\nAnswer: 8*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x - 8. Let m be t(13). Suppose m*l - 7 = -12. Is -2 greater than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 16, -2, -24, -44, -56, -54?\n\"Answer: i**3 - 8*i**2 - i + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/179, 0.4, 36, 2, -2\/7, 0 in decreasing order.\nAnswer: 36, 2, 0.4, 2\/179, 0, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(17) + -2 + (-6*3*sqrt(17))**2 + sqrt(17))*5.\nAnswer: 10*sqrt(17) + 27530","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 37403, 37393, 37383, 37373, 37363?\nAnswer: 37353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*t + 11*t + 10*t to the form b + r*t and give r.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14958?\nAnswer: 2, 3, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1414 + -10?\nAnswer: -1424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11*z + 3 - 1 - 1 - z - z + 4*z + (3 + 2*z - 3)*(-4 + 0 + 5).\nAnswer: -7*z + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -7 - 4 - 1611*j + 1613*j. Let t be x(6). Which is greater: 12\/89 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 1 - 3)*(-18*l - 16*l + 3*l) + l - 4 - 3*l + 6.\nAnswer: -33*l + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*j - 33 - 57 = 0. Let o(t) = -110*t + 37. Let g(x) = -107*x + 37. Let p(w) = j*o(w) + 4*g(w). What is the first derivative of p(c) wrt c?\nAnswer: -98","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, e: 10, f: 2, s: 2}. Give prob of picking 2 e, 1 w, and 1 f.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.26 - -0.06. Let p = -3.4 - -4. What is the smallest value in 1, p, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 12579?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -62 (base 8) to base 15\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide (-30*4\/(-72))\/(11\/42273)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.05 (b) -0.061178 (c) -1\/3 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 77 and 33160561?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 1355*a**2 + 8125*a - 12. Calculate u(-6).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 0 = g - 3, 0 = 5*s + g - 27. Let p be ((-48)\/s)\/((-4)\/14). Calculate the highest common divisor of 7 and p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**3 - 34*h**2 + 76*h - 508. Calculate g(32).\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 1) + (-10 - (-5 + -2))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 8 = -0*j. Let o = 145 - 137. Suppose 0 = -3*u + o*u - 10. Solve 3*f - 3*i + u*i + 3 = 0, 2*f + j = 4*i for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/5 >= 2382078?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -1030*n - 3092. What is q(-3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3 - 0)*3*60. Suppose 4*d = -2*u + 230 - 6, 4*d = 4*u + 272. Calculate the highest common factor of d and z.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15828*w**6 - 5283*w**2 wrt w.\nAnswer: 1899360*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.02 + 1.03. Which is the closest to 0? (a) -2\/7 (b) x (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = 3*s + s. Suppose 3*f + 36 = s*f. Suppose f*i - 72 = 2*i. Which is smaller: i or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 1 + 0)*((-3*w + 2*w + 0*w)*(-4 - 1 - 3) + w - 2*w + 2*w - 2) in the form g + d*w and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16 - 0. What is the smallest common multiple of m and 18?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 1 + 5*b)*(2 + 6 - 1) + 3*b + 0*b - 4*b)*(-3*b**3 + b**2 - b**2).\nAnswer: -102*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -50 + 48 - (1 + -3) - -11?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the third derivative of 167*w**5\/15 - 97*w**2 - w. Let z(g) = -3*g. Determine z(u(y)).\nAnswer: -2004*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from dsdssssssssdssssds?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 44 and 55.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -b6be (base 16) to base 4\nAnswer: -23122332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxppfbbfx. Give prob of picking 1 p and 3 x.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 26.47141 rounded to 0 decimal places?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -6*l**4 - 53*l**3 + 45*l**2 + 504*l + 546. Let y(n) = 2*n**4 + n**3 - n**2 + 2. Let i(j) = u(j) - 3*y(j). What is c in i(c) = 0?\nAnswer: -3, -5\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.11 * 524114\nAnswer: 57652.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uduuuiudi. What is prob of sequence idid?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:26 AM and 12:11 PM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p + 3. Let b be v(-2). What is the units digit of (-10)\/5 + b*14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2181 equal to 2177?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 5*j**3 + 3*j**2 - 370*j + 2 + 370*j as m*j**3 + t + h*j**2 + f*j and give m.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*o - 3 = -9*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b + 3*y - 6*y - 62, -5*y = b + 10. Suppose 3*o + b*o - 2626 = 0. What are the prime factors of o?\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4847 - 4696. Is m even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(78)\/(sqrt(6) + sqrt(12)\/sqrt(2)) + -4.\nAnswer: -4 + sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -45620 divided by -11405.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.3 - 0.31. Let r = 4.01 + i. Suppose -4*t + 9 + 2 = 3*v, 5*t = -4*v + 15. Which is the third biggest value? (a) r (b) t (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14558917?\nAnswer: 14558917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -105451544 (base 7) to base 13\nAnswer: -1443065","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -441 (base 6) to base 8.\nAnswer: -251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**2 - 12*v + 13. Let a be o(9). Let c = 25 + a. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -486 - -690. Calculate the remainder when r is divided by 52.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10110221 + 1?\nAnswer: -10110220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 2440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a meter in centimeters?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -123840, -123828, -123810, -123786?\nAnswer: -123756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 54490895 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 6) to base 2\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - 3*v - 22596, 5*h - v + 4*v = 56511. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1757629 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (65\/(-572))\/(1980\/(-1056))?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6827, 13587, 20343, 27095?\nAnswer: 33843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (5\/(75\/12385))\/(2\/6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -220220210 (base 3) in base 2?\nAnswer: -100011011110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 + 6. Let a = 2 + -2. Let n = s - a. What is the least common multiple of 2 and n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.64, 0, -5, -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2221891?\nAnswer: 7, 131, 2423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 14*b - 2. Let f(u) = 4*u. Let g(j) = -3*c(j) + 10*f(j). Calculate g(12).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n + 14. What is x(13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the second derivative of 0 + 1\/30*x**4 + 6\/5*x**2 - 1\/3*x**3 + 4*x. What is n in d(n) = 0?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*z - 1 + 1)*(-5*z + 3 + 14*z - 1) as u + f*z + k*z**2 and give f.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 328*f + 82871. Let q = 19 - -8. What is the remainder when x(-252) is divided by q?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes after 7:46 AM?\nAnswer: 8:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 44 and 24?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -165 (b) 2\/577 (c) 0.199 (d) -3\/2 (e) 2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20592 is divided by 5127.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -16 + 7 - -8.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 29*u**3 - 21*u**3 - 40*u**3 + (5*u - 5*u + 8*u**2)*(3*u + 1 - 1) + u**2 + u**3 - u**2 to s*u**2 + p + r*u**3 + c*u and give r.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 39150 and 350.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - y - 40 = 0. Let s(b) = b**3 + 9*b**2 + 8*b + 4. What is s(y)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 541*s**2 - 158509*s - 1173. Calculate j(293).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8742099 a multiple of 207?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14.7 - 15. Which is the smallest value? (a) v (b) 1\/5 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.127 (b) 3\/4 (c) 131 (d) 0.2 (e) -5 (f) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 3, 2, 5, -1925, 4 in decreasing order.\nAnswer: 5, 4, 3, 2, -1, -1925","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 177560 and 1288.\nAnswer: 1242920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 15240 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1220711 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 7 + 3*l)*(-3*l**2 + 117*l - 117*l).\nAnswer: -9*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*n - 2*n**3 - 3 - 4*n + 4 - 2*n**3 to t*n**3 + x + a*n**2 + p*n and give t.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -38 + 147 + a + 41*a**3 - 44 - 67 - 35 to h*a**2 + s + m*a + o*a**3 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 168378253 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9\/124 and (0 - (-20)\/(-62))*14\/56*-11?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -29 - -38. Solve -5*k + 2*k = o for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21334 divided by -10\nAnswer: 10667\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5358 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 11*o + 617. What is the remainder when 2477 is divided by m(-50)?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -16*u**3 + 74*u**2 - 29*u. Let y(b) = 5*b**3 - 25*b**2 + 10*b. Let a be (2\/4)\/(3\/24). Let c(f) = a*l(f) + 11*y(f). Factor c(x).\nAnswer: -3*x*(x - 2)*(3*x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i + 0*i + i**2)*(-19 + 151 + 116)*(0*i - 2*i + i).\nAnswer: -248*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 76281*z**3 + 4676*z**2 + 6?\nAnswer: 457686","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.01 and -14180075.5662.\nAnswer: -14180075.5762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4604 - -8695. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(((-45)\/(-3))\/15*14).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -150*(-6 - -197542*1\/(-3)). What is z rounded to the nearest 100000?\nAnswer: 9900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1560 and 234?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -5\/2, -70, -0.4, -1\/55?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27501 = 2*t - 3*r - 4*r, 3*t = -4*r + 41237. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-3))\/((-800)\/(-120)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 - 3 + 317*z + 730*z - 9 + 328*z - 3.\nAnswer: 1375*z - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (0 - 0) + 5 + -4\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:44 PM and 8:56 AM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -888 - -890. Solve 4*h = -8, -2*p + 5*h + 6 - n = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -33*w - 18*w + 24*w - 135 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 = 31*y + 8*y - 1211. Solve -t - 3*q - 4 = 0, -3*q + 6*q + y = 4*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (4 - 39\/9)*-699 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:05 AM and 2:06 PM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes before 1:00 AM?\nAnswer: 6:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.27, -6103, -3?\nAnswer: 0.27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1\/3)\/q**(2\/7))\/(q*((q\/(q*((q\/(q**(-2\/5)\/q))\/q)\/q))\/q)\/q*q*q**(-6)\/q) assuming q is positive.\nAnswer: q**(712\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1791 and 2826?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17369 - 27161. Let q be 10\/(-35) - u\/(-28). Is 11 a factor of (-2)\/(-4) - q\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 13110\/(-312) - -47?\nAnswer: -1\/52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 529624 is divided by 388.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 57\/209198 and 9\/21331.\nAnswer: 17363434","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -9*a - 10 - 2 - 2*a + 22. What is the remainder when k(0) is divided by 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-248)\/140*5)\/(-5*20\/(-350)).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-43) + (-102)\/(-344)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 - 0)\/(12 - 13). What is the units digit of l - ((-10)\/(-15) + (-1948)\/6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/5)*c**4)\/((c\/(c**(-5)\/c*c*c))\/c**2) assuming c is positive.\nAnswer: c**(7\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(130)\/(sqrt(10) - (sqrt(40)*2 + sqrt(40))\/sqrt(4)) - 4*(5 + sqrt(13) + -4 + sqrt(13) + sqrt(13)*-1 + sqrt(13)).\nAnswer: -13*sqrt(13)\/2 - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 69, 276, 619, 1098?\n\"Answer: 68*x**2 + 3*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 6, j: 7}. What is prob of picking 1 j and 1 q?\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2976609 or 2976555?\nAnswer: 2976609","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -40 + 131327?\nAnswer: 131267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 72238?\nAnswer: 5\/72238","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22*(775\/10 - 9) is divided by 29.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 75 + 9450*x + 16464*x - 75 - 7031*x to u*x + b and give u.\nAnswer: 18883","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -3342333 (base 5) in base 4?\nAnswer: -32123111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(((-28)\/7)\/4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 4 + 0 + 0*j - 20 + 6*j. Let l be p(3). Suppose n + 3 = 5*d, 43 = 3*n + l*d - 4*d. Which is bigger: 18 or n?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10 and 7900.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the second derivative of -c**4\/12 + 157*c**2 - 11*c + 33. Let i(s) = -2*s**2. Calculate i(d(b)).\nAnswer: -2*b**4 + 1256*b**2 - 197192","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 235201, -3, -1 in ascending order.\nAnswer: -3, -1, 235201","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**3 - 10*q**2 + 2*q - 8. Give r(10).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2676525 and 1905?\nAnswer: 2676525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/115548 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(704) - (2 + sqrt(704))) + -4 + -2*sqrt(33)\/sqrt(3))**2.\nAnswer: 16*sqrt(11) + 60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*p + p + 5*p + (0*p + p - 2*p)*(2 - 1 + 2) + 7*p + 10*p - p as w*p + v and give w.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 4) in base 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4\/(-3))\/((-18)\/54). Suppose -676 = -3*w - f*i, -675 = 2*w - 5*w - 3*i. Let u = 57 + -25. What is the greatest common divisor of w and u?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 330516.\nAnswer: 2, 3, 9181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -17*k**5*l**2 - 19*k**3*l**3 - 3*k + 192*l**3 wrt k?\nAnswer: -340*k**3*l**2 - 114*k*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-180)\/(-70) - 3) + 24\/7. Differentiate -12 - 595*v**3 - 16 + 508*v**f - 20 with respect to v.\nAnswer: -261*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(684)*4 - sqrt(684)) + 0.\nAnswer: 138*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 584763, 1169428, 1754093, 2338758, 2923423, 3508088?\n\"Answer: 584665*q + 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, 362 in increasing order.\nAnswer: 1, 3, 362","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 m when two letters picked without replacement from rpmp?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 + 6 = -4*a. Let x(k) be the first derivative of k**4\/4 - 5*k**3\/3 - 7*k**2\/2 + k - 27993. Give x(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 - -5. Let l(k) = -k**3 + k**2 - k. Let p(j) = 7*j**3 - 5*j + 7*j**3 + 3*j**2 - 18*j**3. Calculate z*l(a) - p(a).\nAnswer: a**3 + 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 23 + 10. Let h = -33.0000038 + g. Round h to 6 decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 8, e: 2, o: 2, u: 1}. Give prob of picking 2 o, 1 u, and 1 e.\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of s**4 - 2252108*s**2 + 5*s + 111338530.\nAnswer: 4*s**3 - 4504216*s + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59*x + 188*x - 63*x - 69*x.\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 plus 5981?\nAnswer: 6286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a kilogram in milligrams?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -5*j + 5. Let h(k) = -6*k + 6. Let q(z) = 6*h(z) - 7*t(z). Let o = -29 - -26. Let m(u) = -3*u**2 + 5*u - 3. Give o*q(r) - m(r).\nAnswer: 3*r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -354 divided by 3311?\nAnswer: -354\/3311","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 35764878 divided by -38\nAnswer: -941181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 759887.8 decades to months.\nAnswer: 91186536","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 2*p. Let j be 3 - (p - -2)*1. Which is bigger: j or -2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -33 (base 12) to base 15\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 191 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7.6662 - -0.6348. Round w to 1 decimal place.\nAnswer: 8.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -13*p**2. Suppose 5*i + 195 = 5*d, 3*d + 5*i - 156 = -15. Suppose 0 = 3*m - 111 - d. Let s(f) = 0*f - m + f + 51. Calculate y(s(l)).\nAnswer: -13*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -385 + 561. Let p = v + -176.1. What is the nearest to p in 2, -2, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in thirty-seven halves of a decade?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -107 + 107.021. Let h = -0.719 - r. What is h rounded to 1 dp?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -997 and 601.\nAnswer: -396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - (-16 - -27 - 51) - (6 + -2)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = 5*t - 52. Let w = -9 + t. What are the prime factors of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 21\/11 - (-6)\/66. Let m(c) = 15*c + 2. Calculate m(x).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -50318 - -95028. Is 361 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i. Let b be w(1). Let f = 4 + -1. Let t = f - b. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 + -3. Suppose -3*z - 8 = -v - 1, 7 = v + g*z. Is 2 a factor of -1 + 1 - -1*v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12, 14, -4, -54, -148, -298?\nAnswer: -516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 3*u + 65. Let j be z(-23). What is the remainder when 82 is divided by j*(-4 - 11\/4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -211749.71 from 156.\nAnswer: 211905.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.298995822 - -3.299. Round z to seven dps.\nAnswer: 0.0000042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8, 3, -10, -31, -60, -97?\nAnswer: -142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 46\/14 + (2 - (-7 - -12))\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153) - (3*sqrt(153) + 4) - (sqrt(153) + -5 + sqrt(153)*3 + sqrt(153)))**2.\nAnswer: -42*sqrt(17) + 7498","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 993.6491um?\nAnswer: 0.9936491","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -5*j**2 + 6*j - 11. Let y be o(2). Is ((-821)\/(-2))\/(((-228)\/48)\/y) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7631*b**3 - 5*b**2 - 142433 wrt b?\nAnswer: -22893*b**2 - 10*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, 3, 2, 1, 324, -0.104 in descending order.\nAnswer: 324, 3, 2, 1, -0.104, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l + 4 = -5*l. Find the third derivative of 7*n**l - 3*n**4 + 18*n**4 + 0*n**2 - 23*n**2 wrt n.\nAnswer: 360*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 - 5. Let h = -630514 - -630515. Solve 3*q = -2*l + 23, -4*l + a - h = -3*q for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*u + 24*u - 36 - 22*u.\nAnswer: -2*u - 36","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**2 + 1. Let d be q(-2). Let b be -3 - (d + 6 + -6). Factor 0 + 0*r**2 + 0*r**3 + 2\/3*r**5 - 2\/3*r**4 + b*r.\nAnswer: 2*r**4*(r - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -30 + 3. Let p = 53 + s. Suppose p - 2*k**2 + 3*k**2 - 79 + 2*k = 0. What is k?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -q + 45, -2*q + 4*i + 55 + 37 = 0. Let t = -25 + q. Suppose -z + t + 6 = 0. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1861*g = 1867*g - 18 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, 0.3, 5, 10 in decreasing order.\nAnswer: 10, 5, 0.3, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3488 and 327?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -14, -48 in decreasing order.\nAnswer: -5, -14, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -518 + 917. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/416 and -157\/70824?\nAnswer: 283296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102465 + 34432 + 55827 = 14*w. Is w a multiple of 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(-1\/2)\/t*t)\/t)\/(t*t**(-5))*t**(-6)\/(t\/t**(-1\/8)) assuming t is positive.\nAnswer: t**(-29\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 10 = 0, 0*i + 4 = -i + 2*o. Suppose i*p = b + p - 5, 0 = -3*b + 2*p. Suppose -a = -5*t - 1, -a + 3 = t - b*a. Do t and -2\/5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**9)\/t)**(8\/15)\/(t\/t**(-42))**11 assuming t is positive.\nAnswer: t**(-2389\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 3627?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > 0.01?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 4598550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**2 + 228*t - 8281. Calculate y(44).\nAnswer: -185","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(-8)*-33*4\/(-6). Suppose 3*p = r + 11, p + 7 + 6 = -3*r. Factor 2*a**2 - a**3 + 0*a**5 - p*a**4 + 8 - 16*a - 2*a**5 + z*a**3.\nAnswer: -2*(a - 1)**3*(a + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -13*q**2. Let v(t) = 11525*t + 10. Determine v(k(y)).\nAnswer: -149825*y**2 + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes before 4:35 AM?\nAnswer: 1:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1344 and 130704?\nAnswer: 522816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**2 + 13*w + 24. Determine g(-10).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*m - 1. Let q(f) = -f**2. Let a(j) be the first derivative of j**4\/2 - 2*j**3 - 5. Suppose 9 = -3*h - 9. Determine h*q(p) + m*a(p).\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 164 = 4*y, -3*y - 5*w = -99 - 41. List the prime factors of y.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 37798.34?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -81*m**3 - 190*m**3 + 445*m**3 - 179*m**3.\nAnswer: -5*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y**3 - 3*y**3 + y**3)*(2602 + 504*y - 2602) + (-2*y**2 - 2*y**3 + 2*y**2)*(-6*y + 0*y + 5*y).\nAnswer: -502*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a tonne in grams?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 3*b - 3. Let p(j) = 1. Calculate -n(a) - 2*p(a).\nAnswer: -3*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*p**2 - 564 + 283 - 5*p**2 + 281.\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeebbeeellbeeeebebb. Give prob of sequence eel.\nAnswer: 110\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 + 0. Let b = f + -2. Solve b = -u - 3*u + 8 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (6\/(-20))\/(-8 + 124\/20). Let r(l) be the third derivative of 0 - p*l**4 + 0*l - 1\/80*l**6 + 1\/3*l**3 - 11\/120*l**5 - 8*l**2. Factor r(y).\nAnswer: -(y + 2)**2*(3*y - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -40 - -33 - (2 + -281409). Round r to the nearest ten thousand.\nAnswer: 280000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2185, 2110, 2033, 1954?\n\"Answer: -v**2 - 72*v + 2258","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*i + 46 - 77 + 31.\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/11 in -0.5, 0.23, -0.28?\nAnswer: -0.28","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6045.535 centuries in months?\nAnswer: 7254642","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -6*z - 378. Calculate q(-44).\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14521498 + -23921498. Round r to the nearest 1000000.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -61*f**4 - 150*f**4 - 277*f**4 + f**3 - f**3 + 2*f**4 + (0 + 0 + 2*f)*(f**3 + 3 - 3) + (3*f**3 - 5*f**3 + 0*f**3)*(f - 4 + 4).\nAnswer: -486*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 205 + -33. Let n = o - 172. Is 0 > n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.0165423 or 0.228?\nAnswer: 0.228","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1427828 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -15*f**2 - 9*f. Let m(b) = 7*b**2 + 4*b. Let p = 31 + -40. Let n = -956 - -952. What is n*h(k) + p*m(k)?\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gyy when three letters picked without replacement from qygggyqgq?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2336 or -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 3*l - 5*f - 0*f, 3*l - 4*f - 24 = 0. Determine k so that -k**l + 0*k**3 + k**2 - 11*k**3 - k**5 + 14*k**3 - 2*k + 0*k**2 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 4*f + 76. Suppose -36 + 18 = c. Let g be r(c). Solve 0 = -3*l - 0*l + 15, g = 2*u + 2*l for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1062 a multiple of 118?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1362 = 31*s - 292*s + 3075 for s.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 <= 42\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 = -8*n - 18 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 4802192540?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -5*l + 15, -l = -3*n + 199. Suppose -1 = 2*i + 3, 5*d - 5*i - 125 = 0. What is the remainder when n is divided by d?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/4397 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 - -7. Let z(w) be the third derivative of w**5\/60 - 7*w**4\/24 + 5*w**3\/6 + 2*w**2. Is z(b) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 236848439?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in eleven halves of a kilogram?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 16 = 2*r, 2*v = 4*v + r. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4.4 - -0.4. Let k = 17278\/5 + -3477. Let f = k + 21. What is the closest to f in h, -0.5, 4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-6) + 32\/6. Let p(u) = -u + 9. Let r be p(m). Suppose -2*z - 3*h + 97 = 0, 43 + 127 = r*z - 2*h. What is the greatest common factor of 11 and z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -475*y + 2711. What are the prime factors of c(-13)?\nAnswer: 2, 3, 1481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + 25 = 5*g, -5*f - 145*g = -141*g - 25 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-18) - (-2867)\/(-549)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1925 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-56)\/14 + (8 - 2). Suppose -u*d + 4 = -0*d. What is the second derivative of 4*p + 8*p + 6*p**d + 7*p**2 + 10*p wrt p?\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1928, 3854, 5780, 7706, 9632?\n\"Answer: 1926*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**0\/o*o*o**9*(o*o*o*o**(4\/5)*o*o)\/(o**8*o) assuming o is positive.\nAnswer: o**(29\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 s when three letters picked without replacement from jsssjejjwwjjjjjjewj.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 336111389321 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78 = -8*o + 50. Solve 5*j - 16 = j, 5*l - j - o = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 683.6877 years in decades?\nAnswer: 68.36877","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4703 or -4678?\nAnswer: -4703","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13386463?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*b - b**5 + 3*b**5 + b + (3*b**2 + 8*b - 8*b)*(-b**3 + b**3 - 2*b**3).\nAnswer: -4*b**5 - 2*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes before 3:22 AM?\nAnswer: 10:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -d*f**3 - 1471504*d*f**2 + 14*d*f + 6*d - f**3 + 2*f - 4569 wrt f.\nAnswer: -6*d*f - 2943008*d - 6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the first derivative of -g**3\/3 - 2*g + 2. Suppose -4*n + 12 = 4*h, -5*h - 2*n - 4 = -13. Suppose -9 = -4*u - h. Determine l(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*y - 2 - 5*y - y**2 + y**2 - 5*y**2 - 3*y**3 to v*y**2 + o*y**3 + b + w*y and give v.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*z**3 + 3*z**2 - 12*z**3 + z**3 - 20*z**3 to f*z**2 + h*z + y*z**3 + u and give y.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 2*y**3 - 8*y**2 - 10*y + 24. Let t be m(6). Suppose 0 = 5*i - 0*i + n - t, 2*i = -2*n + 48. What is the smallest common multiple of i and 12?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 v when four letters picked without replacement from {v: 5, h: 15}?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/1*22*144\/10032*1178\/8.\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.244 + 0.756. What is the smallest value in 4, -1\/5, -1, k?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6251343987 to the power of 1\/3, to the nearest integer?\nAnswer: 1842","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.8 - -0.3. Let m = -8\/43 + -65\/344. Which is the closest to -2\/7? (a) m (b) 4 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 647695006 to the power of 1\/6, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:21 PM and 10:09 PM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 299 - 71 = 0. Calculate the remainder when l is divided by 20.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10*16328.21\nAnswer: -163282.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 2*y**2 + 49*y. Let x(n) = 20159 - 20159 - n**2. What is x(f(r))?\nAnswer: -4*r**4 - 196*r**3 - 2401*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -36 - -36. Put q, -2, -5 in decreasing order.\nAnswer: q, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -28, 30, 5 in descending order.\nAnswer: 30, 5, -4, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1184*q - 4846*q - 66744 + 160722 = -406512 for q.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = 5*o - 26, 4*y + o = -2*o + 22. Suppose -4*f = y, -2*u + 3*f + 704003 = -0*u. Round u to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -4*y - d, -3*y - 3 = -y + 5*d. Calculate the common denominator of -45\/32 and 12072\/3360 + y\/(-7).\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 138242497 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 + -110010022212?\nAnswer: -110010022202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sspp. Give prob of sequence ps.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -239 + 249. Suppose -4*l + b = l - 2*c, -2*l + 15 = -3*c. Solve 4*s = -5*g - 23, l = -5*g + 3*s - 3 - 6 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -941, -2864, -5757, -9620?\n\"Answer: -485*y**2 - 468*y + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1130, 1373, 2014, 3251, 5282?\nAnswer: 8305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -281 - -290. Does 9 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of -c**4\/4 - 2*c**3 + 7*c**2\/2 + 3*c - 3. Calculate the smallest common multiple of 4 and f(-7).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -19*s + 28. Let v(q) be the first derivative of 1\/16*q**4 + 2 + 1\/2*q**s + 0*q + 1\/3*q**3. Suppose v(h) = 0. Calculate h.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 4*s + 6 = 0, k - 9 = 2*s - 6 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*a**3 - 3*a**2 + 8*a**3 - 9*a**3 - 3 in the form o + g*a**2 + h*a**3 + q*a and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + 2 + 11 + -9 + (5 - 2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6\/9)\/(8551\/(-51)). Let h = r - -1012\/1509. Let q = 3 + -3.5. Which is the second biggest value? (a) q (b) h (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**2. Let k(s) = -5319 + 5319 - 6*s**2. Calculate k(b(t)).\nAnswer: -6*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the second derivative of 15*u**3\/2 - 25*u. Is s(4) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 3*n**2 - 5*n - 27. Let g(k) = 9*k**2 - 14*k - 79. Give -6*g(f) + 17*t(f).\nAnswer: -3*f**2 - f + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2776?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 13.873 and 41.4.\nAnswer: 574.3422","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dbxc when four letters picked without replacement from cvvvbdcdbddxvbddbd.\nAnswer: 7\/9180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -15\/7 less than or equal to -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 2, 2\/3, 4, 5, 0.47?\nAnswer: 0.47","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.17, 1, 2762, 462 in decreasing order.\nAnswer: 2762, 462, 1, -0.17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 269781.857 - 269792.15699508. Let o = x - -10.3. Round o to 7 decimal places.\nAnswer: 0.0000049","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -14*j. Let u(p) be the first derivative of 77*p**2\/2 - 362. Calculate u(h(g)).\nAnswer: -1078*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2835 - 1988. Let d = -510 + v. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/(-2))\/7*-10?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*h + 5 - 11 - 3*h - 3 + h.\nAnswer: -2*h - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3920828307 - -3920828349.89999582. Let x = 42.9 - w. What is x rounded to 6 dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42213 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1555 and 1244.\nAnswer: 6220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is b56a + -4997?\nAnswer: 6793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 2*u - 1. Let h be c(-4). Let k = -5 - h. Let t(b) = -46*b**2 + 3*b - 1 + 0*b + 45*b**2. Give t(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + 3*j + 41, 7 = m - 3*j - 1. Calculate the remainder when m is divided by 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 653 a factor of 3452832?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22889375?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 22564*s**3 - 7*s**2 + 34*s - 29. What is the units digit of d(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.368 plus -7352?\nAnswer: -7361.368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*a - a - 4*a)*(-5 + 0 + 2)*(-274 + 11 - 3).\nAnswer: -798*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-348)\/15*(-5)\/2 is divided by 22.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.199485535 to two dps.\nAnswer: 3.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from {i: 3, c: 2, v: 3}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 4 = 10 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 3440358?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**3 - 4*p**2 - 3*p. Suppose -163*a + 20 = -173*a. Let q be (-15 + 5 + 0)\/a - 7. Determine l(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 + (6\/(-5) - 1). Let i = 5.03 + -0.03. Which is the closest to -0.1? (a) -0.5 (b) i (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33 (base 5) to base 11\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 64526.9036 to the nearest one thousand.\nAnswer: 65000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -218 + 158 = -30*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 38447687 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6017866?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-5*(sqrt(539)*-2 + 3))**2.\nAnswer: -4200*sqrt(11) + 108250","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 351 - 116 - 706*t - 120 - 115 as f*t + y and give f.\nAnswer: -706","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(-13)*0*(1 - 2). Put 5, -2, 1, 25, q in descending order.\nAnswer: 25, 5, 1, q, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000027962 rounded to 6 decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 171 and 3249.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4.275 and -15314.3?\nAnswer: 65468.6325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r + 2*r + 2*r)*(-2 - 1 - 1) - 5*r + 4*r - r.\nAnswer: -6*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 2 + sqrt(8)\/(sqrt(4)*-1 - sqrt(4)).\nAnswer: -sqrt(2)\/2 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3 + (0\/3)\/3. Let m(f) = -f - o*f + 2*f - f. Let t(j) be the third derivative of -j**4\/12 - 8*j**2. Give t(m(p)).\nAnswer: 6*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 - 4913251.7.\nAnswer: -4913251.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1345, -4936, -10927, -19324, -30133, -43360?\n\"Answer: -t**3 - 1194*t**2 - 2*t - 148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18638 is divided by 233?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 2) to base 3\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -8 - 1785283?\nAnswer: -1785291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1286*u - 7935 = -73521 for u.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Do -7\/1004 and 5369 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(960))\/sqrt(12).\nAnswer: -8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(0 + (-2)\/4). Let c = -22 - -38. Suppose -4*y + h = -11, 30*y + 16 = 34*y + 4*h. Solve g*i = -v, -y*v + c + 4 = -4*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1010110011101110010010 (base 2) in base 5?\nAnswer: -1211131143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-10)\/65*1 + (1118304\/(-78))\/(-8) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, r: 4, f: 1}. Give prob of sequence fer.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 4*w = -2, 7*q + 2*w = 2*q - 41. Is 5 a factor of (-3)\/q + 64\/14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 4*l + 12 - 44, 3*l - 4*c = 24. Solve 3*z = 7*z - l for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 229903879 + -229902441.1714368. Let w = -1580.828585 + z. Let c = -143 - w. Round c to 6 dps.\nAnswer: 0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1244 is divided by 90?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**3 - 4*k**2 + 2*k + 7. Let p be w(-4). Is -3 < p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the second derivative of x**4\/24 + 6*x**2 + 4*x. Let i(y) be the first derivative of r(y). Let s(a) = 11*a**2. Calculate i(s(u)).\nAnswer: 11*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 232 = -410*l + 485*l - 143 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -96, -126, -156, -186, -216, -246?\nAnswer: -276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 6 = 4*y - g, -5*y + 3 = g. Suppose 5*r - 3*p - 6 - 38 = y, 5*p = r - 22. Solve -r - 5 = -3*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes after 9:11 AM?\nAnswer: 1:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 61, 142, 249, 394, 589, 846?\nAnswer: 1177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + 2. Let g(j) = -j**3 + 3*j**2 + 5*j - 3. Let n be g(3). Let v be ((-8)\/n)\/(1\/3). Which is the second smallest value? (a) z (b) 5 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-3)*105\/14. Suppose k*n - 2*l - 4769 = -0*l, n - 3*l - 959 = 0. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes after 2:06 PM?\nAnswer: 3:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 2*t**3 - 3385*t**2 - 13647*t - 303. Give p(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 - -1203?\nAnswer: 1211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-52)\/(-90) - ((-15)\/270)\/(3\/12). Factor 2\/5*l**2 + 2\/5 + q*l.\nAnswer: 2*(l + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:25 PM and 9:08 PM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + m**4 + 0*m**4 + 3 + 44*m**2 + 3 to a*m**2 + i*m**4 + r*m**3 + p + x*m and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -742233 by 1041.\nAnswer: -713","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z = -10*z + 34. Let h(u) = 3*u + 15. Is h(z) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18 - 16. Let q be (j - 3)\/((-4)\/8). Differentiate 100*d**3 - 36*d**3 - 50*d**3 + q wrt d.\nAnswer: 42*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/180 and 113\/7700.\nAnswer: 69300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that b**5\/5 + 42642*b**4\/5 - 85291*b**3\/5 - 127928*b**2\/5 + 34116*b + 170576\/5 = 0.\nAnswer: -42644, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -2*r, -6 = -3*u + 2*r - 16. What is the nearest to -1\/5 in u, -1, -4\/11, 5?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.3 or 33509026?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 0*l = -3*l + 71 - 104, 7*r - 2*r + 4*r = -50*l - 296 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -102 - -107. Let g = 1 + n. What is the third derivative of -21*w**6 + 10*w**6 + 4*w**g - 27*w**2 wrt w?\nAnswer: -840*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, 1, 0.05, 3, 0.0083, -4 in increasing order.\nAnswer: -4, 0.0083, 0.05, 2\/7, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2443, -9770, -21979, -39070, -61043, -87898, -119635?\nAnswer: -156254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**2*b)\/b)**(-22)*b\/((b\/b**(-1\/6))\/b)*b*b**(-4\/7) assuming b is positive.\nAnswer: b**(-1795\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1974 divided by -6?\nAnswer: 329","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/15 (b) 4 (c) 103\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + 13 = -11. Calculate the common denominator of (h\/(-18))\/(48\/36) - 3 and 55\/16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -50\/9, -0.5, 2\/5, -0.3 in decreasing order.\nAnswer: 2\/5, -0.3, -0.5, -50\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2\/5 - 167172*g\/5 + 10571526.\nAnswer: -2*(g - 315)*(g + 83901)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 + 4. Let j be g\/(-5) - (-24)\/15. Suppose -j*q = 3*q - 70. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwfwffffff. What is prob of picking 1 w and 1 f?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -50 divided by -1\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-13)\/(-30) - ((-371)\/(-770) + (-4)\/22). What is the third biggest value in 4, -3\/7, u, -8?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 35828 and 528294?\nAnswer: 338","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(13))*-3 + (sqrt(156)*-1)\/sqrt(12) + sqrt(13).\nAnswer: -3*sqrt(13) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 262695 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b + 2. Let a(o) be the first derivative of 56 + 0*o + 0*o**2 - 2\/3*o**3. Determine a(h(i)).\nAnswer: -2*i**2 - 8*i - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**2 + 5*p + 6. Let l = 35 + -20. Suppose -3*b - l = -0*b. Determine v(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 184435?\nAnswer: 5, 36887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v**5 + 894*v**4 + 13860*v**3 + 41200*v**2 + 44376*v + 16146 = 0. Calculate v.\nAnswer: -207, -13, -3\/2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 25*b**3 + 2*b**2 - 170?\nAnswer: 75*b**2 + 4*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(-5)*-3*(-8)\/60?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*d = -20*d + 4280. Is -1070 equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -104*h - 6549. Let j(d) = 36*d**2 - 2*d. Determine n(j(b)).\nAnswer: -3744*b**2 + 208*b - 6549","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 69\/41 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 10 + 154*p**3 - 54 - 2*p + 39 + 19 in the form s*p**2 + n*p + z*p**3 + y and give y.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 27 + -29. What is the smallest value in 3\/2, 4\/15, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 189*y = 190*y + 4*f - 467, 3*y - 4*f - 1337 = 0. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 128788523 or 128788524?\nAnswer: 128788524","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-1*sqrt(162) + -2)**2 + -5.\nAnswer: 36*sqrt(2) + 157","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -5*f**2 - 7*f - 5. Let u be p(-4). Let q = -40 - u. Calculate the remainder when 66 is divided by q.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4440 and 495.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 231?\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**3 + 81*y**2 + 763*y + 69293. What is s(-82)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -359414 by -32674.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 2\/13 (b) -0.028 (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**2 + 4527*y - 1240564. What is u(293)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 132 = -13*y - 9*y for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 848 + 5. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 - -863.62633?\nAnswer: 863.72633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -38259 or -191294\/5?\nAnswer: -191294\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-6)*j*j)\/j)\/(((j\/(j\/j**0))\/j)\/j)*j**(2\/13)\/j**(3\/5) assuming j is positive.\nAnswer: j**(-224\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*y + h + 3, -5*y + 2 = 3*h + 4 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (312 - 321) + 0 + 0?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.6 + -2.7. Let f = 0.4 - -0.1. Suppose 2 = -2*p + 8. What is the closest to x in p, 0, f?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -161770 - 3*g**2 - 3*g**2 + 161140 to the form a*g**2 + z*g + f and give a.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 + -7. Solve j - 18 = -4*j + m*n, 0 = -5*j - n + 6 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171) - 1*sqrt(171)*-4)*-1)\/(sqrt(27)\/sqrt(3)*-6 + (sqrt(729)*-2 - sqrt(9))).\nAnswer: sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*o**2 + 3*o**2 + 0*o**2 + (4 + 1 - 3)*(5*o**2 - 6*o**2 + 2*o**2) + 15*o**2 - o**2 + 0*o**2.\nAnswer: 13*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17027 + -17030.8. Let l = -31\/156 + -2\/39. Which is the second biggest value? (a) -5 (b) l (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the second derivative of -43*b**6\/30 + 118*b**4\/3 + 40*b + 1. What is the third derivative of j(q) wrt q?\nAnswer: -1032*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**3\/5 - 9054*v**2\/5 + 2813952*v - 6059662432\/5.\nAnswer: (v - 7222)*(v - 916)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 4, s: 7}. Give prob of picking 1 t and 1 s.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the third derivative of h**7\/630 + h**6\/30 - 3*h**5\/20 + 7*h**4\/36 - 62*h**2. Find u such that n(u) = 0.\nAnswer: -14, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 5*x**2 + 36*x + 9. Suppose 3*n + 3 = 6, 0 = 3*b + n + 26. What is the tens digit of q(b)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*q - 18 - 6 + 24.\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - 3*g + 37 = 0, -4*g = -4*n + 3*n - 11 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**3\/5 + 6479163*l**2\/5 + 15550056*l + 233251164\/5.\nAnswer: -3*(l - 2159733)*(l + 6)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -50, -165, -350, -617, -978, -1445, -2030, -2745?\n\"Answer: -2*z**3 - 23*z**2 - 32*z + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 5*s + 14. Let j = 23918 + -23920. Sort 2, -4, s, j in decreasing order.\nAnswer: 2, j, -4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -304 + 418 - 3*b**2 + 3*b**2 - 596 - 10*b**2 to u*b + j + m*b**2 and give m.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + (-44 - -6) + 120?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1399318 divided by -699659?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.026 + -0.074. Is x equal to 4\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-12)\/(-5))\/2)\/((-47)\/((-1316)\/21))?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**2 + o. Let j(c) = -2*c**2 + 4*c + 1. Let k(d) = 5*b(d) - j(d). Determine k(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 2 = 6*o. Let g(s) = -236*s**3 - s**2 - s. Let r be g(o). Suppose 27 = 5*q + 2, -3*f + 2*q = -r. List the prime factors of f.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -135465 - -52966772\/391. What is the common denominator of h and 40\/9?\nAnswer: 3519","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.06? (a) -28 (b) 0.1 (c) 4.77\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (109 - 52 - 49 + 2*d)*(-d**2 + 3*d**2 - d**2) in the form n*d + m*d**2 + l*d**3 + z and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(336))\/(-3*sqrt(27) + sqrt(3) + sqrt(3)))**2*6.\nAnswer: 384\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1 + 3*m**3 + 8*m**3 - 5*m**3 - 6 wrt m?\nAnswer: 18*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 1\/4 (b) 2 (c) -4 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/137 or 1?\nAnswer: 4\/137","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -97, -102, -111, -124, -141?\n\"Answer: -2*m**2 + m - 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -5*k**3 + 56*k**2 - 325*k - 383. Give j(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the second derivative of -l**6\/60 - l**4\/24 + l**2\/2 - l. Let i(v) be the first derivative of t(v). What is the second derivative of i(k) wrt k?\nAnswer: -12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 648*m**2 - 132*m**2 + 779*m**2 + 6576*m**2 in the form t*m**2 + r*m + y and give t.\nAnswer: 7871","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -2*l**2 - 9*l - 8. Let k be i(-6). Suppose -3*d - 148 = -4*p, -4*p - 74 + 2 = 2*d. Find the common denominator of (10\/(-90))\/(2\/k) and d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 1988012?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 443 + -430. What is the highest common divisor of 8 and h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/166175019 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*v**2 - 5*v**2 + 5*v**2)*(79 - 156 - 18*v - 7*v**2 - 35*v + 79).\nAnswer: -42*v**4 - 318*v**3 + 12*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(4*(sqrt(136) - sqrt(136)*1*-3)*-3)\/(-5*5*sqrt(40)\/sqrt(5)*-5).\nAnswer: 144*sqrt(17)\/125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-52)\/8*64\/(-312)\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-1 + sqrt(162)) + 0)**2 + 4 + sqrt(162) + -4*sqrt(162)*1 + sqrt(162) + sqrt(162) + (sqrt(162) + (sqrt(162) - (sqrt(162) + -3)))**2 + -3 + 2.\nAnswer: -405*sqrt(2) + 4249","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((60\/(-35) - -2)*108\/8)\/1.\nAnswer: 27\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**2 - 1. Let o(g) = g**3 + 6*g**2 + 5. Suppose 43 = 4*i - i + 5*w, 2*i - 7 = w. What is i*f(x) + o(x)?\nAnswer: x**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00026851712 rounded to 6 dps?\nAnswer: 0.000269","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0*(-4 + (-12)\/(-4)). Let b be -12 + (2 + -1)*p. Let o = b - -52. Is 10 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, s: 5}. Give prob of picking 1 h and 1 s.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 722866.1 meters?\nAnswer: 722866100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1117076, 1117068, 1117058, 1117046, 1117032?\nAnswer: 1117016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -775103.39 to the nearest one hundred thousand.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 20 (b) 29 (c) 193 (d) -1\/2 (e) -33\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 16*v - 51. Let u be t(-10). Let r = 15 - u. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1063 a factor of 875487863?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 350 and 175.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (1 + 7 + -23) - 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -198*i - 2. What is the tens digit of a(-7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 415716 = 37*n + 61*n. Is n a multiple of 70?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1500*a - 15 + 80*a**3 + 15 + 1500*a.\nAnswer: 80*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 3*b - 20 = 0. Solve -t + b*a + 2 = 0, 13 = 4*t + 4*a + 5 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 times 0.135\nAnswer: 0.135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*h + 43*h - 6*h)*(-16*h - 2*h - 2 - h) in the form j*h + z*h**2 + n and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 582.22728 minutes in days?\nAnswer: 0.4043245","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the first derivative of 62*r**3\/51 + 463*r**2\/17 - 60*r\/17 + 2044. Suppose s(p) = 0. Calculate p.\nAnswer: -15, 2\/31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -68*r*w**4 + 65*r*w**3 + r*w**2 - 3993*r - w**4 - w wrt w?\nAnswer: -1632*r*w + 390*r - 24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22*g + 6*g**2 - 22 + 17*g + 20*g - 58*g to the form w + a*g**2 + r*g and give w.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30, 56, 76, 90, 98, 100?\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 7180136103?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**3 - 4*g**2 - 4*g - 5. Let j be w(5). Suppose j*v + 45 = v. Let y be v\/6*(-2)\/(-3). Solve 0 = 3*z - 4*u + 16, -3*z + y + 7 = 3*u for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the third derivative of d**5\/40 - 19*d**2. Let f(w) = 0. Calculate w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1312415 and 2362347.\nAnswer: 11811735","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2415412950?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5.63 (b) -5 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:29 AM and 8:09 AM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00007017677609 rounded to six dps?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 38*f + 4. Let q(v) = -v**3 - 66*v**2 - 63*v + 129. Let a be q(-65). Calculate j(a).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2970 (base 10) to base 2\nAnswer: -101110011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/(-20)*(-16 + (-2450)\/(-147))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 + 346 + -378 + (3 - 0)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0.4, 1\/3, 1\/2, -0.1 in increasing order.\nAnswer: -4, -0.1, 1\/3, 0.4, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 38\/19 + 3*1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**2 - 116*r - 336. What is m(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-14)\/21)\/(6\/(-45))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 177728052 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**3 - 16*f**2 + 34*f - 32. Let j = 179 - 197. What is the remainder when 30 is divided by p(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 439282561 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 39082789 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(3\/8)*t)**(-19)*(t**(-1\/18)*t)\/t**9 assuming t is positive.\nAnswer: t**(-2461\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9224433?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h - 0*h - 6. What is the second derivative of -3*y**2 - h*y**5 + 3*y**2 - 2*y wrt y?\nAnswer: -40*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 327155 and 531?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1000010011110 (base 2) to base 8.\nAnswer: -10236","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 + 3. Let z be 89\/(-7) - (-6)\/(-21). Let p = z - -28. Solve -2*k - 5 = -2*a + 3*a, -d*k + p = 5*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6099746 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 682?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-16540)\/(-25) + 0 - 2\/(-5). Suppose 3*x = -4*k + 2*k + b, 0 = -2*x - 4. What is m in -2*m**4 - k*m**5 + 335*m**5 + 3*m**3 - 2*m**3 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 v, 1 y, and 1 z when four letters picked without replacement from zvypzp.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -11922, -11933, -11970, -12045, -12170, -12357, -12618, -12965?\n\"Answer: -2*z**3 - z**2 + 6*z - 11925","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -848, 509, 1862, 3211?\n\"Answer: -2*v**2 + 1363*v - 2209","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the third derivative of u**5\/15 - 3*u**2. Let h(l) = l + 7*l**2 - l - 4*l**2. Calculate t(h(s)).\nAnswer: 36*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 223019, 446016, 669013, 892010?\n\"Answer: 222997*n + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 177?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27 - 10*w - 27 - 140 - 33 + 227.\nAnswer: -10*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10990 is divided by 3662?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the third derivative of -n**5\/20 + n**4\/24 + n**3\/6 - 11*n**2. Let p = 6 - 4. Suppose -8 = 3*q - p. What is t(q)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.04 + -0.2. Let m = g - 0.04. What is the nearest to m in 0, 2\/9, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**2 - 18*g - 35. Give i(-19).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 2*g**3 + 21*g**2 - 44*g - 353. Let f be m(-11). Solve -122 = 16*v - f for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -54976*o**3 - 2*o - 2818 wrt o.\nAnswer: -329856*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*y - 3*o + o = -4*o + 84, -21 = 4*y + o for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 257*v + 6 - 252*v.\nAnswer: 5*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -173*b**2 - 47*b**3 - 33*b**3 - 129*b**2 + 20*b**3 + 303*b**2.\nAnswer: -60*b**3 + b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes after 2:51 PM?\nAnswer: 5:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -25 > -27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 3*k**2 + k + 716*k**3 - 5*k**2 - 2*k - 2 + 2086*k**3. Let x be r(2). Suppose -2*h = 99596 + x. What is h rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-5)*n*n\/(n**4*n)*n*n**6\/n**10 assuming n is positive.\nAnswer: n**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and 3.4.\nAnswer: 6.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**4 - 2*j**2 - j. Let i(x) = -1400*x**4 - 12*x**2 - 4*x + 115. Let b(q) = 6*d(q) - i(q). What is the second derivative of b(n) wrt n?\nAnswer: 16872*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the second derivative of -2744*f**2 + 4*f + 196*f**3 + 1\/10*f**5 - 7*f**4 + 3. Factor o(n).\nAnswer: 2*(n - 14)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120 + 29 = 5*f - n - 81, -f + 16*n - 81 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -15, 7, 1\/4, -3.1, -12?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 320 and 190?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*(-2)\/4)\/((-51)\/(-306))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 365184 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o*o\/o**(2\/7))**(-26))**(-24)\/((o*o**0)**(22\/7)*(o**(1\/5)\/o*o)\/((o*o**(2\/3))\/o)) assuming o is positive.\nAnswer: o**(177559\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -12492 (b) -4 (c) -235\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in r**3 - 46 + 153*r**2 - 153*r**2.\nAnswer: r**3 - 46","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 3*g**2 + 2*g + 11. Let z be n(-11). Let v = 909 - z. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.10499794 + 0.105. Round r to 7 dps.\nAnswer: 0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -1507\/4029 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 55*756\/693*(10\/(-4))\/5.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**2 + 5*f - 1. Let r(x) = x**3 - 5*x**2 + 4*x + 3. Let p be r(4). Suppose 5*g = 4*y + 2*g - 20, 2 = p*y + g. What is l(y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**3 + 9*o**2 + 13*o + 11. Suppose 131*v - 142*v + 22 = 0. Let r be (0\/(-5) - v) + -12 + 6. Give j(r).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1217 + 839. Let m = -262 - j. Let s = m - 114.63. Round s to 1 dp.\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - f - 9 = -2*f, -4*f - 24 = 2*v. Let h be (2\/(-6))\/(v\/36). Find the third derivative of 15*o**6 + o - o + 22*o**2 + h*o**2 wrt o.\nAnswer: 1800*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -503, -525, -561, -611?\nAnswer: -675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(1\/10))**(-7)*(((v\/v**(10\/7))\/v*v*v)\/v)**32 assuming v is positive.\nAnswer: v**(-1009\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 4 + (sqrt(1584) + (sqrt(1584) + 0)*-4 + sqrt(1584) - sqrt(1584)) + 2 + -6*3*sqrt(1584)*2)**2.\nAnswer: -7488*sqrt(11) + 2409328","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -145874848 equal to -145874848?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -5 + (-2 + 1)\/(-1). Which is the nearest to 2? (a) q (b) -5 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 5*d - 20. Let u be k(9). What is the greatest common factor of u and 200?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is a + -17ee03?\nAnswer: -17edf9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -131*f + 879. Determine w(8).\nAnswer: -169","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrryryyrrr. Give prob of picking 2 r.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 333269419?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**2 - 7*h + 3. Let p be y(5). Suppose -5*b = -5*u + 80, -u - 3*u - 14 = 2*b. Let z = p - b. What is the remainder when 21 is divided by z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24 - 0*(-4)\/(-8) is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*h + 3620223 = 78*h - 556337. List the prime factors of h.\nAnswer: 2, 5, 37, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*b = 15*b + 294. Is 10 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -7020*l - 5255. Let r(h) = -638*h - 478. Let w(i) = 6*f(i) - 65*r(i). Differentiate w(v) wrt v.\nAnswer: -650","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.3071375 kilograms?\nAnswer: 307137.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -7*n - 4*d + 148, -2*d = 5*n - 256. Let o(p) = p**3 + 85*p**2 - 845*p + 7. What is the smallest common multiple of o(9) and n?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -290428 divided by 8?\nAnswer: -72607\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the second derivative of -1\/6*o**3 + 0*o**2 + 75*o + 0. Let x(b) = b**2 - 14. Calculate c(x(f)).\nAnswer: -f**2 + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -58, -66, -78, -94, -114, -138, -166?\n\"Answer: -2*f**2 - 2*f - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2442 + 3593. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 equal to -1\/424455501?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(-10))\/(((-19074)\/(-2380))\/187)\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**2*f)\/(f*(f\/(f\/(f*f*f\/(f**(-2\/7)\/f*f)*f)))\/f))**(-2\/35))**10 assuming f is positive.\nAnswer: f**(36\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -3, 115 in ascending order.\nAnswer: -3, 3, 115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -6*n + 60. What is the common denominator of (-74)\/44 - (3 + -1) and ((-14)\/n)\/((-3)\/(198\/(-24)))?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -23*m + 26*m - 345. List the prime factors of m.\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**3 + 6*i**2 - 4*i - 2. Let y be a(5). Suppose -5*s = 209 - 654. Let d(j) = -1 + 43*j - s*j + 44*j. Determine d(y).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pgnngngpngnngpgpgnp. What is prob of sequence ngng?\nAnswer: 49\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3453725792?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 683039153 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6249 - 1016. Suppose 0 = 13*n - u - 929. List the prime factors of n.\nAnswer: 2, 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**3 + 538*k**2 + 16450*k + 207. Determine r(-29).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*h - 54*h = -32*h. Suppose -b + 5*w = 2*b - 26, -w = 3*b - 2. Let t(l) = -l**3 + 2*l**3 + 11 + 0*l**3 - l**b. Determine t(h).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**3 + 11*f - 6*f**2 - 3*f + 4 - 2*f**2 - 2. Suppose 3 = 3*t - 18. List the prime factors of d(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-1\/2)*u)**31\/((u*u**1*u)\/(u*u**(-6\/13)*u*u)))**20 assuming u is positive.\nAnswer: u**(3910\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 48*u**2 + 7*u + 2. Let h(w) = -32*w**2 - 5*w - 1. Suppose 3*r = -a + 27 - 5, -5*a = -2*r + 9. Let j(p) = r*h(p) + 5*l(p). Is j(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 263685 (base 11) to base 10.\nAnswer: 414760","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (12\/8)\/(2\/4). Suppose 0 = -2*s + w + 1, w - 2 = p*w. Suppose -q - y + 6002 = 0, q + 2*y - 6004 = -s*y. What is q rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 110400 and 28704.\nAnswer: 1435200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + o + 4, 3*u - 2*o + 11 = 27. Let v = 2 + u. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -91 - -295\/4. What is the common denominator of (354\/8)\/(-3)*1 and j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.78 times 124?\nAnswer: 96.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**2 - 17*n - 7. Let p be a(-8). Suppose s - 150 = -s. Suppose -4*u + p = -s. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -9*x**2 + 3*x + 17. Let w(g) = 4*g**2 - 2*g - 8. Let c = -4936 + 4943. Calculate c*w(j) + 3*s(j).\nAnswer: j**2 - 5*j - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 201109.\nAnswer: 83, 2423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.3073 and -2.\nAnswer: -2.6146","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2730073720?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -82.2188 rounded to 0 dps?\nAnswer: -82","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 161368.5 and -4.4?\nAnswer: 161372.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 124 + -4?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11504051 is divided by 58995?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -1264*t. Let w(j) = -17*j**2 - j. Give n(w(q)).\nAnswer: 21488*q**2 + 1264*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/(-15)*(6 - 2) - -1. What is the fourth smallest value in -3\/2, -5, u, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3531559 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -441068 (base 9) in base 4?\nAnswer: -1000100333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -56, -18, 32, 100, 192, 314?\nAnswer: 472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**2 + 10*i - 16. Let k be p(8). Suppose o + 4950 = 5*n, 2*n - n - 2*o - 981 = k. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42782027014 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 214*d = 179*d - 35 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -14*b - 7. Let g be v(3). Let y = g - -40. Let n(q) = -3*q**3 - 8*q**2 + 5*q + 17. Is n(y) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11979, 11968, 11943, 11898, 11827?\nAnswer: 11724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 49\/35*16\/(-28)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.4 (b) 1\/3 (c) -3\/4 (d) 0.1 (e) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(147) - sqrt(3))*1 + -5*(sqrt(3) + 0) - (-2 + sqrt(48))*-3*4)**2.\nAnswer: -2352*sqrt(3) + 7784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 - 43) + 35 + 47?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 + 0.057327?\nAnswer: -0.442673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8\/(-10)*1\/(-4). Which is the closest to -0.2? (a) 0.3 (b) -0.1 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 22\/1917 and 79\/12.\nAnswer: 7668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 58302193739 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3492 or -3481?\nAnswer: -3492","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2736) - (-3 + sqrt(2736))) + (-1 + sqrt(2299) - sqrt(2299)))**2 - (sqrt(171)*-2 + 2 + sqrt(475)).\nAnswer: 2 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + 2 + 7. Let y = -6 + 8. Suppose 5*n + 12 = u, -58 = -m*u + y*n - 9. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 543477 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -6*x. Suppose -2 = -v - 0. Let s(f) = -2*f + f**2 - v*f**2 + 2*f. What is q(s(d))?\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:47 PM and 6:42 AM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b**4\/4 - 1495*b**3\/4 + 115275*b**2\/4 - 504945*b\/4 - 648270 = 0. Calculate b.\nAnswer: -3, 8, 147","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 - 13. Let z be (0 + b\/8)*12. Let q be 7 + 3*8\/z. Solve -3*u = -3*o + 3, 0*u + 4*u = -q*o - 32 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the third derivative of x**6\/120 + x**5\/15 - x**4\/8 + x**3\/2 + 4*x**2. Let w be a(4). Calculate the greatest common divisor of w and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 191, -74, 1197, 0 in increasing order.\nAnswer: -74, 0, 191, 1197","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 4*w, 0 = -i - 5 + 7. Solve w - 4 = m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16 divided by -73\nAnswer: -16\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 505*o = -k + 507*o - 5, -45*k + 5*o - 650 = 0 for k.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -19 + 14 - 57555*g**2 + 57561*g**2. Let i(j) = -5 + j - j + 6*j**2 + 5*j. Let x(z) = -7*z**2 - 6*z + 6. Let y(n) = -6*i(n) - 5*x(n). What is y(u(d))?\nAnswer: -36*d**4 + 60*d**2 - 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-4 - 1)*(-123)\/5 + -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (1 - 6) - -4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -11011111000011011 (base 2) in base 14?\nAnswer: -2d895","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -4*x**3 - 16*x**2 + 44*x - 24 = 0.\nAnswer: -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5*i**4 - 32*i**3 - 70?\nAnswer: 20*i**3 - 96*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 205 minutes after 4:39 PM?\nAnswer: 8:04 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What is -0.16 less than -49177311.22?\nAnswer: -49177311.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1\/3)\/((s\/((s\/s**(-2\/3))\/s))\/s))\/(((s*s**(-2\/5))\/s)\/s)**(-2\/5) assuming s is positive.\nAnswer: s**(-17\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -7 - c535?\nAnswer: -c53c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/4, 6\/5, -2950, 2\/3 in ascending order.\nAnswer: -2950, 2\/3, 6\/5, 5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -100 - -7699\/77. Let l be (2\/4)\/((-4)\/(-24)). Suppose -2*b = -w - 4, l*b + 0*w + 7 = -5*w. Which is smaller: b or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3680\/(-230)*(-2)\/(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.9 or 839?\nAnswer: 839","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 258 = 9*i + 33. Is i a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*z**(-2\/13))*z\/z**(5\/4))**(-35)\/(z**(-4)\/(z\/(z**(-2\/3)\/z)))**(-17) assuming z is positive.\nAnswer: z**(-17155\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -106 - (19 + -91) - (-6 - 63).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8171360?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 170 + 76. Suppose -3*g = -5*j + 209, 2*g - y = -3*j + 5*g. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1320 + -1044?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**2. Suppose w + 13 = m - 2*w, 2*w - 50 = -3*m. Let l(r) = -m - 10 + r + 13. What is u(l(c))?\nAnswer: c**2 - 26*c + 169","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gccc when four letters picked without replacement from gccccccc.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7541*b - 9099*b + 16639*b.\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -45, -2, -7649 in ascending order.\nAnswer: -7649, -45, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 461*l + 3259. Calculate q(-6).\nAnswer: 493","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, -3\/4, 5, -7 in descending order.\nAnswer: 5, -3\/4, -7, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n - 2*n + 6*n)*(3 - 4 + 0) + (-n + 0*n + 2*n)*(-1 + 1 + 1) + 133 - 20*n - 133.\nAnswer: -21*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 41*r**2 + 11*r - 2. Let u(k) = -81*k**2 - 22*k + 4. Let o(t) = 5*g(t) + 2*u(t). Is o(4) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ios when three letters picked without replacement from iiooooooso?\nAnswer: 7\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(1216) + 1*sqrt(1216))**2.\nAnswer: 4859","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 + 42. Let f = h - 3. Does 18 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 17\/2 of a week?\nAnswer: 85680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2162, 4310, 6440, 8552?\nAnswer: 10646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -59*n**2 + 79*n wrt n.\nAnswer: -118","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 117 + -202. Let v = q - -119. Let g = -26 + v. What is the highest common factor of 32 and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:28 AM and 4:32 PM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -2*t - 2*t - 469 + 14 - 7*t**2 + 6*t**2. Let w be n(0). Let j be (-2 - w\/63) + (-2)\/9. Solve -3*o - j*v + 40 = 0, -5*o = 8*v - 3*v - 50 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23676289 is divided by 23676262?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14.91 + -0.09. Let y = i - -20. Let s be (-48)\/70 + 2\/5. What is the smallest value in y, s, 0?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 32458 - 17039. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -28e25 - -93?\nAnswer: -28d82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6734)\/13 - (1 - (0 - 4)). Let x = g + 557. Calculate the remainder when 50 is divided by x.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(108) + -3*sqrt(108))*-1 + -1)*-5.\nAnswer: -60*sqrt(3) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times 362\nAnswer: 108.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 7, n: 12}. Give prob of picking 2 l and 1 n.\nAnswer: 84\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (3 + -2 + 2 + 0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 44, 81, 118, 155, 192, 229?\n\"Answer: 37*v + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/8 + -1 - (-60)\/32.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**3\/(j*(j*j\/(j**1*j*j))\/j))**(-42)\/(j**(10\/17)*j**(-1\/8)\/j**(-1\/8)) assuming j is positive.\nAnswer: j**(-2866\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l = -l + 15. Let b = l + 0. Let x = b - -4. Solve z = -0 - x for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 + -7 - -7) + -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*u - 3*u - 5*u**2 + 4*u - 2*u**2 - 4*u + 0*u**2 + 0*u**2 + 2*u**2 + (4 - 3 + 0)*(2*u**2 + 4 - 4) - 23 - 8*u**2 + 23 + 0*u**2 + u**2 + 0*u**2.\nAnswer: -10*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54325*y - 4*q = -54320*y + 7, 12*y + 23 = 11*y + 10*q for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 51306940 divided by -5?\nAnswer: -10261388","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1 (b) -2\/13 (c) 8 (d) 171 (e) -0.22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(931) - (-2 + sqrt(931)))*-4 - (sqrt(931)*-1 + 5).\nAnswer: -13 + 7*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 15757825 to the power of 1\/2, to the nearest integer?\nAnswer: 3970","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 - -2. Suppose -j - 4 = 2*k. Let a = 7 + k. Solve 1 = -a*y - 8 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 2*j**3 - j**3 + 0*j**3 + 3*j**2 + 7*j - 10 - 4*j**2. Is 33 a factor of s(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 - -4. Let i = n - 3. Let j = -4.5 - i. Sort -1\/3, j, 0.\nAnswer: -1\/3, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -31 + 35. Let t = 0.7 - -0.3. Let z = 0.369 + 0.131. Which is the closest to 3? (a) z (b) u (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -0.3 and 1752\/35 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 13298609 plus -0.4?\nAnswer: 13298608.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -2\/1329?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*z + 2*z. Let p be z\/3 + 6 + -3. Let a(f) = f**3 - 2*f**2. Calculate a(p).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3661357?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 44 - 44. What is the closest to 1 in 4, b, 0.16?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r**2 + 2*r**2 - 4*r**3 - r**3 - 2*r**2 + 2*r**2 + (2 - r**3 - 2)*(5 + 0 - 3) + 0 + 0 - r**3 - r - 2*r**3 + r.\nAnswer: -10*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -79841*f**4 - 189995?\nAnswer: -319364*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 423*b - 214*b - 212*b - 14. Let s(q) = 4*q + 29. Let v(g) = -2*g - 15. Let z be 1\/2 + (-26)\/4. Let a(o) = z*s(o) - 11*v(o). Give 8*a(d) - 5*j(d).\nAnswer: -d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3150160 is divided by 35395.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o when three letters picked without replacement from {o: 3, z: 3}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 118 divided by 6.\nAnswer: 59\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17089622 - 44229022 = -133*n - 6425554. Round n to the nearest 10000.\nAnswer: 410000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**3 + 11*n**2 + 4*n - 5. Let s = 9 + -4. Let h be t(s). Let z = h - 109. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-36)\/(-10) + (-12)\/(-30). Find the second derivative of n**b - 2*n**4 + 3*n - 5*n**4 + 5*n**4 wrt n.\nAnswer: -12*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(57)\/(sqrt(3)*1) + 0.\nAnswer: -1 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/8*-1*4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v = -2*o + 4, -21*o - 49 = -23*o - 13*v for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -49 + 49. Suppose -g = -v - 5, h = -5*v + v - g - 30. Calculate the remainder when (15 + -5)*v\/(-2) is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -56001 (base 9) in base 5?\nAnswer: -2142210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*n - 15*n + 4*n - 3*n - 5*n.\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 0.01, -1\/9, -0.5, -13\/109 in descending order.\nAnswer: 0.4, 0.01, -1\/9, -13\/109, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -8595*r**3 - 6*r**2 + 6*r + 96. Let m(p) = -15015468*p**3 - 10483*p**2 + 10483*p + 167728. Calculate 10483*h(s) - 6*m(s).\nAnswer: -8577*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/3*g**2 - 1\/3*g**4 + 1\/9*g**5 + 1\/9*g**3 + 0 - 2\/9*g.\nAnswer: g*(g - 2)*(g - 1)**2*(g + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -19 - 22) + -2*2*72\/(-16)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -14, 30, -2, 8 in decreasing order.\nAnswer: 30, 8, 1, -2, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 254 a factor of 143133?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13696*d**3 - 2*d - 27029*d**3 + 13614*d**3.\nAnswer: 281*d**3 - 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 122*u. Let r(o) = -8175*o. What is 200*n(d) + 3*r(d)?\nAnswer: -125*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let 3\/2*n**5 + 0*n + 0*n**2 + 3\/2*n**3 + 0 - 3*n**4 = 0. Calculate n.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - 7*g - 15852, 6*g = -5*p + 9*g + 39601. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dzrdd. What is prob of sequence ddrd?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -3*i + 8. Calculate w(-3).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 219*u**2. Let d(i) = 9*i. Give d(l(q)).\nAnswer: 1971*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10 + -8. Let n = 0.6 - 0.1. What is the nearest to b in 3, n, -0.4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the second derivative of o**3\/6 + 4*o**2 + 2*o. Let p be t(-6). Let h(d) = -5*d**p - d + d. Let u(z) = -11*z**2. What is -13*h(f) + 6*u(f)?\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**3 + 5*m**2 + 2*m - 4. Let q be g(5). Let b(u) = -140*u - 837. Let i be b(-6). Solve q = -i*y - 3 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from smbbmmessbmbabbbas. What is prob of sequence eaas?\nAnswer: 1\/9180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -92 - -6?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - v - 20 = 0, 0*q - 4*v - 36 = -5*q. Let h be q*(-19)\/(-8) - (-2)\/4. List the prime factors of (434\/35)\/(2\/h).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**15)\/x)**(-4) assuming x is positive.\nAnswer: x**60","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 25 - 25. What are the prime factors of -14*(1 - (j - -3))?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the third derivative of 11*f**4\/8 + 328*f**3 + 156*f**2 - 7. Differentiate l(z) wrt z.\nAnswer: 33","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a + 1. Let n(b) = b**3 + 11*b**2 + 16*b - 59. Let w be n(-8). Let v(x) = -2*x**2 - 8*x - 8. Determine w*v(f) + 40*u(f).\nAnswer: -10*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 23068*n - 23066*n + 6 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -5*i**2 - 8*i + 693. Let d be z(-14). What is the second biggest value in 0, -4, 1\/9, d, 1?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - 2*y = -15, 28*q + 5 = 27*q - 3*y for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 350085 - 2524\nAnswer: 347561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 117 - (-43 - -82 - (-19 - -28)).\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1728 and 18048?\nAnswer: 162432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1955840.\nAnswer: 2, 5, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 17*b**3*n + 2990339*b**3 - 2*b*n - 865*n wrt n.\nAnswer: 17*b**3 - 2*b - 865","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 703131?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 2*o + 1)*(o + 4*o - o)*(-3 + 5 + 0 + (-2 + 3 - 2)*(-1 - 3 + 5) + 2 - 1 + 0) as c*o + y*o**2 + k and give y.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -c**4 + 3*c**2 - 3*c**2 + (0*c + 2*c + c)*((7*c**2 - 5*c**2 + 4*c**2)*(0*c + 0*c - c) + 11 + 11*c**3 - 11).\nAnswer: 14*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 156, 1231, 0, -3 in descending order.\nAnswer: 1231, 156, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.1 (b) -77 (c) 0.2 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -38389, -75550, -112711, -149872, -187033?\n\"Answer: -37161*p - 1228","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -36173 times -3\nAnswer: 108519","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 101 (base 2) to base 8\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1965894, 3931824, 5897754, 7863684, 9829614?\n\"Answer: 1965930*n - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -4*x**3 + 276*x**2 + 486564*x + 50420300 = 0.\nAnswer: -223, -133, 425","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 81 + -81. Suppose q = 4*o + 2*v - 5066 - 4164, 2*o = -2*v + 4620. Suppose -3*h = m - 0*h - o, 3*m - 6939 = -3*h. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -82*b**2*s - 60*b**2 + 3*b*s + 134631*s wrt b?\nAnswer: -164*b*s - 120*b + 3*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7153*j = -7161*j + 64 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u - 7 = -a - 4, 15 = -3*a for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 108*g**4 + 9828*g**3 + 9756*g**2 + 3244*g + 360 = 0.\nAnswer: -90, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3010.734 + 22.234. Round n to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 131, 0.1425, 3?\nAnswer: 131","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 3*g + g - 2*g. Let p be d(-2). Let l be 3 + (552\/(-90) - (-10)\/75). Put l, p, 2 in increasing order.\nAnswer: p, l, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, -3, -12, 0.18?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a centimeter in micrometers?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cactckcsackcccaac. What is prob of sequence ckk?\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/(j**(18\/5)\/j)*j**(1\/36) assuming j is positive.\nAnswer: j**(-283\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (1161\/8127)\/(6\/14)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -261725 >= -1046901\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**3 - 1263*i**2 + 114594*i + 1709760.\nAnswer: 3*(i - 274)*(i - 160)*(i + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -396 (base 12) to base 11.\nAnswer: -457","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:46 AM and 4:47 PM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*i = 3*i - 2*n + 3, -3*n - 1062 + 1083 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 93 a factor of 87622?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the first derivative of -5*n**2\/2 - 2*n + 29. Suppose 48*x + 41*x = -267. Give t(x).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + 6 + -22 + 11 + 13?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y**5 - 229*y**4\/5 + 129*y**3\/5 + 449*y**2 + 2242*y\/5 + 72 = 0. What is y?\nAnswer: -2, -1, -1\/5, 4, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:18 PM and 3:29 AM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 + 1265?\nAnswer: 1265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 6c (base 16) in base 13?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -5*h + 11, r = 3*h - 8 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*((q**(-1)*q)\/q)\/q)\/q)\/(q\/(q*q*q**(-1)))*(q\/((q**(-1)*q*q*q)\/q))**(-2\/13))**(5\/12) assuming q is positive.\nAnswer: q**(-5\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the second derivative of -q**4\/12 + q**3\/6 + 28*q. Let j(i) = -26*i**3 + 3*i + 260*i**2 - 263*i**2 + 29*i**3. Give 3*a(s) - j(s).\nAnswer: -3*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 83 - 65 = 0. Let r(y) = -y**3 + 5*y**2 + 7*y - 8. Let u be r(6). Are u and s equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 0*n**2 - n - n**2 + 3*n. Let o be m(2). Suppose o*h - 3*h = -21. Is 7 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*u + j + 2*j + 2 = 46, 3*j = 11*u - 15*u + 20 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**3 - 8*x**2 + 2*x + 6. Let c(i) = i - 20. Let w be c(12). Calculate j(w).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 262 and 62?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -5*sqrt(6)\/sqrt(3) - ((sqrt(14) + (sqrt(98) + sqrt(98)*-1)\/sqrt(7))\/sqrt(7))**2.\nAnswer: -5*sqrt(2) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-23\/3)*h)\/(h\/(h*h**(-39))))**(-42) assuming h is positive.\nAnswer: h**1918","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7655, 15378, 23149, 30992, 38931, 46990?\nAnswer: 55193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35603?\nAnswer: 35603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 332149171.\nAnswer: 332149171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(133)*-3 - (-1*sqrt(133)*-6 - sqrt(133) - sqrt(133) - sqrt(133)))\/(-2*3*(sqrt(1008) - sqrt(1008)*-2)))**2.\nAnswer: 19\/1296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/v**(5\/4))\/v*v)\/(((v**(-8)*v)\/v)\/v*v)*(v\/(v*v*v\/(v**13\/v)))\/((v**(-1\/5)*v)\/v))**(-20\/9) assuming v is positive.\nAnswer: v**(-359\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*t + 15*t + 20. Let r = t + 16. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a factor of 6605?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 x, and 1 m when three letters picked without replacement from {f: 3, m: 4, x: 4, c: 3}?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 57 + -50. Suppose 0 = 4*u - z - 29. List the prime factors of u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1414 + 2820 - 47*g**2 - 1408 - 3*g wrt g?\nAnswer: -94","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8*(-74)\/296*(3 - 1)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*w = -29*w + 36 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 25 = 8*a + 5*o, 0 = 5*a - 4*o + 20. Suppose a = -3*q - 147 + 480. Suppose 10*t = -132 + 1242. Is t bigger than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1925)\/6930*16\/10.\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -175*h + 5*h + 5780. Which is the fourth biggest value? (a) 1 (b) -1 (c) 12\/5 (d) 1\/3 (e) h\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 315?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*c**5*y**2 + 234*c**4*y**2 - c**2*y**2 - 137*c**2*y + 14*c wrt c?\nAnswer: 360*c**2*y**2 + 5616*c*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -3994\/25, 1\/9, 0, 63, -0.4 in increasing order.\nAnswer: -3994\/25, -0.4, 0, 1\/9, 63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41 = l + 11*k, 5*l + 3*k - 18 + 21 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000044908 to 5 decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q - 1 + 1)*(-2 - 2 + 2)*(2 - 1 + 1)*(1 + 15 + 6).\nAnswer: -176*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-43)\/(-5))\/1 + (-24)\/(-60). Suppose -5*n = -5*w + i - 34, 4*n - 20 = -4*w. Solve 2*y + w*y = -2 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 8 = -2*m. Let r = 4 + m. Let d(y) = 13*y**r + 11 + 0*y**2 + 0 - 11*y. Let j(n) = 7*n**2 - 6*n + 6. Give -6*d(u) + 11*j(u).\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-22)\/(j\/(j\/(j*j**(-22)))))\/((j\/j**(2\/15))\/j*j*j**(-1)) assuming j is positive.\nAnswer: j**(-13\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*h**2 - 247587*h + 82530.\nAnswer: -3*(h + 27510)*(3*h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*u - 53 = 3. Which is smaller: -146\/27 or u?\nAnswer: -146\/27","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in fourty-three quarters of a minute?\nAnswer: 645","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 9329, 37062, 82805, 146168, 226761, 324194?\n\"Answer: -65*i**3 + 9395*i**2 + 3*i - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(300)*1 + 5)**2 + sqrt(300) + (1*sqrt(300) + -4)**2 + sqrt(300) + -2 + 4.\nAnswer: 340*sqrt(3) + 5143","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the third derivative of 5*c**4\/8 + c**3 - 1775*c**2. Let f(m) = 7*m + 3. Give 5*f(s) - 3*z(s).\nAnswer: -10*s - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(108) - -1*sqrt(108)) + 0 + -3 + (-3 + sqrt(300) + sqrt(300) + -1)*3.\nAnswer: -14 + 72*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - 5390108072762?\nAnswer: -5390108072768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -3\/8 (b) -1\/4 (c) 3 (d) 8 (e) -0.39\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**3 - p - 1. Let v(y) = 5*y**3 - 3*y**2 + 9*y + 3. What is 6*j(z) + v(z)?\nAnswer: -z**3 - 3*z**2 + 3*z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -44 + (-53 - -31) + 50\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (92*m + 97*m - 217*m - 2)*(-3*m + 3*m + 3*m).\nAnswer: -84*m**2 - 6*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 17795 to the power of 1\/2, to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 139183399?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 64151 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 v when two letters picked without replacement from votvvyvxyv.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*c = 11 - 107 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -60, -59, -60, -63, -68, -75, -84?\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**3 - d**2. Let g be w(1). Let m = -0.08 - -0.58. Let f = m - 0.8. Put g, f, -1\/3 in decreasing order.\nAnswer: f, -1\/3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60687005 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 w when two letters picked without replacement from {l: 2, q: 5, s: 7, w: 3}.\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 72 - 36. Let j be ((-8)\/(-18))\/(8\/b). Suppose 0*w - j*y + 1216 = 2*w, 1836 = 3*w - 3*y. Round w to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 608 and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 2 f when three letters picked without replacement from {v: 2, f: 8}?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 28971173879 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -3*t - 5. Let q = -26 - -28. Calculate the remainder when s(-4) is divided by q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -69\/81172712 and -95\/4632?\nAnswer: 243518136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.988565s to milliseconds.\nAnswer: 2988.565","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7307 + -4518. Does 6 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -47801.56 times -1.7?\nAnswer: 81262.652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -w**3\/4 - 3*w**2 = 0.\nAnswer: -12, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 2. Let k(v) = 11*v - 43*v + 16*v + 17*v. Suppose 6 = o - 5*r + r, -o - 4*r = 2. Determine o*k(s) + d(s).\nAnswer: 2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -4*m - 6 + 2 - 2*m + m. Let t = -8 + 5. What is the units digit of i(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 4*s**4\/5 + 17588*s**3\/5 - 1050724*s**2\/5 + 3974092*s\/5 - 588192 = 0.\nAnswer: -4456, 1, 3, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the third derivative of d**4\/24 - d**3\/3 + 5*d**2. Let s be w(5). Solve -s = a - 4, 8 = -3*i - 4*a for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.94 and -7?\nAnswer: -6.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -1, 2*h = -6*a + 2*a - 264. Let t = -76 - h. Does 26 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes after 4:40 PM?\nAnswer: 3:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -49.66 + 50.66. Which is the third biggest value? (a) h (b) 0.1 (c) -9\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/5*65\/39. Suppose 106 = q*v + 2*c - 36, 71 = v + 5*c. What are the prime factors of v?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2203.617 kilograms to grams.\nAnswer: 2203617","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-5)*1055\/(-17724)\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -1*818\/6*(-8 + 11)*-31?\nAnswer: 31, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3 and 1731.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*o*p*v - 272*o*p - 4*o*v + 5*o - 3285*p*v - v wrt o.\nAnswer: -2*p*v - 272*p - 4*v + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**2\/4 - 15*w\/2 + 31\/4.\nAnswer: -(w - 1)*(w + 31)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 139 - 99. What is the tens digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z + 2 - 7. Suppose -3*n = -3*h - 30, -h - 2*h - 2*n = 10. Let l be (3 - 7)*h\/8. Sort 4, l, z in decreasing order.\nAnswer: z, 4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + -6 + 0 + (3 - 1).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16 - 11. Suppose 5*w = w + 12. Let k(d) = 28*d**w - 6*d - 27*d**3 - 4*d**2 + d. Calculate k(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 6*h**2 - 9*h**2 - 6*h**2. Let c(y) = 2*y + 5. Let f(v) = 3*v + 6. Let a(s) = -s**2 + 10. Let k be a(-4). Let b(d) = k*c(d) + 5*f(d). Give r(b(l)).\nAnswer: -81*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 + 45. Let x(r) = -294*r + 683. Calculate the remainder when x(2) is divided by g.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 + -6. Find the third derivative of -2*n**2 + 0*n**q + 3*n**5 + 7*n**2 wrt n.\nAnswer: 180*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 10 + 8*c - 35 + c - c**2 + 18. Give o(5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3365*s + 504*s - 2 + 2 - 2445*s to d*s + l and give d.\nAnswer: -5306","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1a7 - -324?\nAnswer: 17d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 5*n - 10, n - k - 2 = -0. Let l(i) = -7 - 3*i + 4*i + n*i - 4*i. Let v be l(-8). Solve 0 = 2*w - 3*w + v for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - 2*m**2 + 4 + 4*m**2 - 7*m**2.\nAnswer: -5*m**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 401, 409, 429, 467, 529?\n\"Answer: w**3 + w + 399","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*d**2 - 8*d**2 - 8*d**5 - 4*d**2 + d**5 + 4*d**2 + (-5*d**4 + 2*d**4 + 2*d**4)*(d - d - d) - 3*d**5 + d**4 - d**4.\nAnswer: -9*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1746 (b) -1\/4 (c) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-54)\/26*(-170)\/765*((-920)\/(-48))\/(-23).\nAnswer: -5\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 140.07 + -8.07. What is the fourth biggest value in -5, -2, -1\/6, 0.5, w?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 635519 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2\/371 + 377\/1113. Let n(j) = 2*j**2 + 2*j - 1. Let q be n(1). What is the second smallest value in 0, q, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 354, 1372, 3044, 5352, 8278, 11804, 15912?\n\"Answer: -3*a**3 + 345*a**2 + 4*a + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -95, -381, -857, -1523?\n\"Answer: -95*d**2 - d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81*j**2 + 4935*j + 366 = 0 for j.\nAnswer: -2\/27, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-132))\/(2 - (-28)\/(-12)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7747 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8726*a + 2908*a - 54*a**2 + 2909*a + 61*a**2 + 2909*a.\nAnswer: 7*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 11149 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**2 - 10*m - 7. Let s be l(-8). Determine v, given that s*v**2 - 2 + 2 - 6*v**2 + 3*v = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-4 - -3) + -2)\/(-3). Let o(w) = 10*w**2 + w. What is the least common multiple of o(d) and 8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v*v*v**1*v)**16\/(v**(2\/7)*(v\/v**0)\/v) assuming v is positive.\nAnswer: v**(558\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - 6 = h, 3*f + 620*h - 615*h - 10 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqlqqqqqqqqqqqqqqqqq. What is prob of sequence qlq?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 i when two letters picked without replacement from {m: 1, a: 2, i: 1, h: 4, u: 2, q: 2}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(300) + sqrt(300) - sqrt(300))\/sqrt(10))\/(sqrt(40) + sqrt(120)\/sqrt(3) + sqrt(10)) + -1 + (sqrt(432) - (2 + sqrt(432))**2)*-6 + -1.\nAnswer: 1082*sqrt(3)\/5 + 2614","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3010 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 23359310417 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 21620 + -21619.9999977382. What is m rounded to seven decimal places?\nAnswer: 0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 784614288 to the nearest integer?\nAnswer: 922","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 13325 (base 7) in base 5?\nAnswer: 103341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -i*q**3 + 2*i*q**2 - 31*i*q - 86*i + q**4 - 12629*q**2 + 5*q + 2 wrt q?\nAnswer: -6*i*q + 4*i + 12*q**2 - 25258","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-5)\/(-5))\/(3\/177). Suppose -y - t = -1780. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 44\/11503?\nAnswer: 44\/11503","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**2 - 13*f + 2. Let y be l(13). Solve -3*i = 3*v - 9, -v - y*v = -5*i - 25 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 7*j - 6. Let y(r) = 15*r - 13. Let c(w) = 13*n(w) - 6*y(w). Let h(f) = -f**3 - 11*f**2 + 11*f - 7. Let l be h(-12). Give c(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (23 + 12 - 12)*(-q**2 + 4*q**2 - 2*q**2 + (-3*q - 10*q**2 + 3*q)*(2 + 1 - 2) - 1 + 3*q**2 + 1) to the form h*q**2 + a*q + z and give h.\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1770043 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 21*w**2 + 5*w. Let h(o) = 11*o + 65. Give d(h(v)).\nAnswer: 2541*v**2 + 30085*v + 89050","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 340.1674 times -0.4?\nAnswer: -136.06696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -10192 divided by 49\nAnswer: -208","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the second derivative of -x**7\/42 - 229*x**4\/12 + x**3\/6 + 213*x**2\/2 - 2*x - 32. Find the second derivative of b(y) wrt y.\nAnswer: -20*y**3 - 458","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4.75 + -0.25. Suppose -q = 3*q - 24. Let d be 5\/3 - 4\/q. Put d, w, 1\/9 in decreasing order.\nAnswer: d, 1\/9, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q - 1. Let i = -53 + 56. Let b be p(i). What is the units digit of ((420\/(-18))\/(2\/(-6)))\/b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in -1\/3, 4, 0, 37?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -2465 (base 8) to base 6\nAnswer: -10101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -54 - -53.996. Let x = 0.0029 + n. What is x rounded to 3 dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 - 14. Let a = -5 - o. Suppose a = -3*j - 0*j + 45. Solve 3*z + j = 2*u - 5*u, -u + 4*z = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13)\/117*3*(-12)\/(-4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.07 in -3, 2, -0.3, 1\/4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1704*d = -1738*d + 442 for d.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 6, 5, -1, -2, -6\/1319 in ascending order.\nAnswer: -2, -1, -6\/1319, 2, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5119.1 - -5119. Let o be 0\/1 + 3\/(-6). Which is the nearest to l? (a) 1 (b) -1\/4 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:12 PM and 11:38 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 2701673?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v + 7. Let q be b(-5). Suppose 4*n = -3*i + 81 - 2, 3*n + 64 = q*i. What are the prime factors of i?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -141 - (-53 - ((-44 - -11) + -9))\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-5)*v**(-2\/5))\/((v*v**(1\/2))\/v*v*v\/(v*(v**3\/v)\/v))*(v**3\/(((v**6\/v)\/v)\/v*v))**26 assuming v is positive.\nAnswer: v**(-319\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 425.6996mg to nanograms.\nAnswer: 425699600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -307285\/2430192 - -99\/4112. Calculate the common denominator of n and -1\/78.\nAnswer: 15366","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q + 4 - 4)*(23 - 11 + 2) + 2 - 2 - q.\nAnswer: 13*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0003849 - -2.8192.\nAnswer: 2.8195849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1212102 (base 4) in base 15?\nAnswer: -1e16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -5, -1050, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1276926647 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the first derivative of 23 + 32\/3*b**3 + 0*b**5 + 17\/7*b**7 + 0*b**6 + 0*b**4 + 0*b + 0*b**2. Find the third derivative of o(x) wrt x.\nAnswer: 2040*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 9*a**2 + 144*a + 76. Let q(t) = 37*t**2 + 576*t + 302. Let l(o) = 18*g(o) - 4*q(o). Factor l(f).\nAnswer: 2*(f + 20)*(7*f + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 3*o + 2*k, o - 3*k = -o - 6. What are the prime factors of (-112)\/o + 14\/21?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 69.7896 and -1.\nAnswer: -69.7896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -2*o**3 + 6*o**2 - 23*o + 3. Let j(d) = d**3 - 4*d**2 + 25*d - 4. Determine -3*j(i) - 2*q(i).\nAnswer: i**3 - 29*i + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1364382637 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**2. Suppose -3*n + 2*g - 18 = 6*g, -5*g - 15 = 0. Let r(u) = 3*u**2 - 3*u + 1. Suppose 0 = -2*l - 28 + 26. Determine l*r(z) + n*w(z).\nAnswer: -z**2 + 3*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 32759 and 376?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**8*f**(-1)\/f*f)**(-36) assuming f is positive.\nAnswer: f**(-252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -79*j**2 - 310*j + 39. Give q(-5).\nAnswer: -386","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -6*k - 25. Let b be 6\/(-15) + 218\/k. Let z = 218\/5 + b. Which is bigger: z or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7795*t = 4071*t + 225454 for t.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2 + 234*r + 654*r - 11 - 106 wrt r?\nAnswer: 888","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/9 and 125\/516.\nAnswer: 1548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the second derivative of n**6\/360 - n**3 + n**2 - 29*n. Let j(b) be the second derivative of f(b). Let y(w) = 2*w**2 + 24. What is j(y(v))?\nAnswer: 4*v**4 + 96*v**2 + 576","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 2*y + 4. Let f(i) = -6*i + 1. Let z(o) = -5*o. Let r(x) = -3*f(x) + 4*z(x). Give 5*c(l) + 6*r(l).\nAnswer: -2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -525430098 divided by 1674\nAnswer: -313877","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*d + 46 = 176. Suppose 0 = -d*o + 5*o + 13045. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the third derivative of -h**5\/60 + 5*h**3\/3 - 2*h**2. Let c be j(0). Solve -3*x + 0*x - c = -5*t, -3*t = -x - 10 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 117\/54 + (-1)\/6. Suppose 2*s + 11 = w + s, 4*s = r*w - 26. Calculate the remainder when 17 is divided by w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 19*d*k**3*s**2 - 3*d*k*s**2 + 69*d*k - 186*d*s + 3760083*k**3*s**2 + 2*k**2 + 2*k*s**2 - 74*k*s + s wrt k?\nAnswer: 114*d*s**2 + 22560498*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 582*u**2 + 133*u - 8840*u**2 - 51*u - 83*u as z*u**2 + m*u + c and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 35.99895 - 36. What is r rounded to three decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (54 - 38*f - 54)*(-152*f**3 - 16*f + 79*f**3 - 2 + 75*f**3) in the form g*f**4 + l*f + i + c*f**2 + x*f**3 and give c.\nAnswer: 608","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 263, 2, -1, 3, -27, 59 in increasing order.\nAnswer: -27, -1, 2, 3, 59, 263","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -101*i**3 - i**2 - 2*i - 2. Let o(p) = 201*p**3 + 2*p**2 + 4*p + 4. Let f(j) = 4*o(j) + 9*v(j). What is the tens digit of f(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 5, y: 14}. What is prob of picking 3 y and 1 u?\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -124159*p**6 + 4146*p**2 - 12*p wrt p?\nAnswer: -14899080*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k**3\/2 - 15*k**2\/2 + 27*k\/2 - 13\/2 = 0. Calculate k.\nAnswer: 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, a: 2, d: 3}. Give prob of picking 2 a.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the second derivative of -g**4\/126 - 13*g**3\/63 - 22*g**2\/21 - 5*g + 98. Factor i(t).\nAnswer: -2*(t + 2)*(t + 11)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -o - 758 + 13*o + 758.\nAnswer: 12*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = -v. Suppose 0 = 3*o + 2*s - 22, -4*s - 2 = 2. Let i = o + -8. Solve 3*j + v*j = i for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 13) in base 9?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (32\/224*0)\/((-1)\/(1\/5)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-2)\/a)**(-29)\/(a**11)**(-4\/15))**43 assuming a is positive.\nAnswer: a**(58007\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -62, -199, -490, -1013, -1846, -3067, -4754?\n\"Answer: -13*x**3 + x**2 - 49*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12581 and 368?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (6 - 1) + -5 + (-9 - (-21 + 10))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z**(3\/2))\/(z\/z**(1\/6))*(z*z**(1\/5)\/z)\/(z\/(z*z*((z**0\/z)\/z)\/z)))**11)**(1\/5) assuming z is positive.\nAnswer: z**(-22\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5.171 - 5.201. What is the closest to -3 in 3, -3, 2, l?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6686644271 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/132)\/(10\/550)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 608329*z**4 + 2*z**2 - 10*z - 3249 wrt z?\nAnswer: 14599896*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10400? (a) -2\/35 (b) 2\/15 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - t + 8, 11 = -5*b - 4*t - 8. Let x be 1*9*b\/(-9). Calculate the greatest common factor of x and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 28 and 4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**2 - 86*n + 1240. Let m be w(-83). Solve 7*o = -m + 1517 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -875.64 to the nearest 100.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 55*q**4 - 26*q**4 - 36*q**4 + 8*q wrt q.\nAnswer: -84*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 21\/8 of a gram?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3 - -1 - (1 + 2 - 4)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 1203 - 3126 = 0. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (3*sqrt(99))\/sqrt(9) - (-1 + sqrt(33)\/sqrt(3) - (1*sqrt(99))\/sqrt(9)))**2.\nAnswer: 6*sqrt(11) + 100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*z**2\/4 - 14571*z\/4 + 25536 = 0. What is z?\nAnswer: -4864, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30*(-6 + (225\/10)\/5 + 1)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - ((-79 - -45) + 33 + (0 - (24 - 1))).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 366*w. Let x(j) = j**2. Calculate a(x(d)).\nAnswer: 366*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the second derivative of 5*c**4\/4 - 13*c**3\/6 + 41*c**2\/2 - 331*c. Let g(i) = 7*i**2 - 6*i + 20. Determine 6*d(z) - 13*g(z).\nAnswer: -z**2 - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -6*((-12)\/8 - (-2 + (3 - 3))). Let h(q) = -4*q**2. Let o be h(1). Which is the second biggest value? (a) -1 (b) o (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0005 to two dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-7)\/(-2)*(-16866000)\/(-2100)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2*(-2)\/(-12) + 1176\/(-252). Find the common denominator of (399\/24)\/(a - 39\/(-6)) and 5.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*x + 2*q, 2*q + 5 = 7. Solve -3*l = 4*n + 13, -n = 5*l + x + 14 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 14\/(-16) + 15\/40. Let u = -165 + 1817\/11. What is the closest to x in -0.2, u, 0.4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r**5*r)\/r)\/r**(-5))**(-11\/3)*r\/(r\/((r*r\/r**(-1\/3)*r*r)\/r*r*r))*r**(1\/4)*r*((r\/(r\/r**(-5\/2)))\/r)\/(r*(r\/r**(5\/4)*r)\/r*r) assuming r is positive.\nAnswer: r**(-39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7 - 16 + 749*p**2 + 23 + 1506*p**2 + (2 + 4*p - 2)*(p - 2 + 2).\nAnswer: 2259*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 594 and 33864732?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 425848988 to the power of 1\/2, to the nearest integer?\nAnswer: 20636","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1522\/7 + 218. Which is the closest to -2\/5? (a) x (b) 0.1 (c) -2\/3 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**3 + 328*v**2 - 19846*v + 2242. Calculate o(248).\nAnswer: 754","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 16596.03 and -179?\nAnswer: -2970689.37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10548693*y + 10548693*y + 2*y**2.\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -73, -176, -289, -418, -569, -748, -961?\n\"Answer: -j**3 + j**2 - 99*j + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -4, -8*u + 2*o = -6*u - 3216. Is 10 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 190 - 181. Solve -3*o - y = k, -4*k = -2*o + 10 - 2 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.2 + -0.3. Let q be (17 - 11)*2\/(-4). Let l be -2 - q - 7\/8. Put j, l, 1\/5 in descending order.\nAnswer: 1\/5, l, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 36 + -2 + 6\/3. Suppose -t = -0*p - p. Suppose -2*x = n - p, -3*n - n = -3*x - 89. Does 9 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h + h + 2*h**2)*(-6 + 3 - 5*h + 4).\nAnswer: -10*h**3 + 2*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 307 - 161*g**3 + 157*g**3 + 20*g**4 + 13*g**4 + 61*g**4 - 11*g**4 with respect to g.\nAnswer: 332*g**3 - 12*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tva when three letters picked without replacement from {w: 4, t: 8, f: 4, a: 1, v: 2}.\nAnswer: 8\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 289842546?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -75 - -482. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2264960, 4529930, 6794910, 9059900?\nAnswer: 11324900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -2*p**2. Let g(q) = -446*q + 6. What is g(d(w))?\nAnswer: 892*w**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 1266380\nAnswer: -1\/1266380","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 2*q**3 + 3*q**2 + 2*q - 2. Let c be y(-3). Let u be ((-6)\/c)\/(10\/25). Sort 1, 2\/19, u in ascending order.\nAnswer: 2\/19, u, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 23*a + 21*a + 2 + 9*a - 61*a. Let s(v) = v. Give t(s(b)).\nAnswer: -8*b + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.1 (b) -0.2 (c) -16 (d) 116\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -1\/2 (b) 21 (c) -1.24 (d) 0.2 (e) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 14 + -6 - ((2 - -1) + -3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 17*a**2 - a - 2. Let b(n) = 166*n**2 + 19*n + 10. What is -b(g) - 6*u(g)?\nAnswer: -268*g**2 - 13*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1721, -1716, -1699, -1664, -1605, -1516, -1391, -1224?\n\"Answer: g**3 - 2*g - 1720","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*m**2 + 4*m**2 + m**2)*(-2 + 2 + 2)*(-293*m - 518*m + 40*m)*(-1 + 4 - 5)*(3 - 1 - 1) to z*m**2 + u*m + d + a*m**3 and give a.\nAnswer: 9252","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -405, -804, -1215, -1644, -2097, -2580, -3099?\n\"Answer: -t**3 - 392*t - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 168.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in eleven halves of a meter?\nAnswer: 550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 + -3 - -2 - -11) + (-3 - 8)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 2297.7117 months?\nAnswer: 0.191475975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**2 + 10*b - 7. Let x be w(9). Let l be -160*((x - -2) + -704). What is l rounded to the nearest ten thousand?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -313*h = -4*l - 318*h + 269, -5*h + 325 = 5*l. Calculate the greatest common factor of l and 18648.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*j**3 + 674*j**2 - 674*j**2.\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -66*p**3 - 1688*p + 1688*p + (4*p**2 - 4*p**2 + 4*p**2)*(-14 + 1 + 1)*(0*p - p + 2*p) to the form b*p + o*p**3 + t + y*p**2 and give o.\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 - q**2 - 3*q. Suppose u - 1 = -5. Let m = u + 7. What are the prime factors of v(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15114 + -15103. Solve -67 = h*z - 100 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2080\/(-3600) - 1*2) + (-4)\/(-5)\nAnswer: -16\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s - 6. Let a be p(8). Solve -w = a*w - 6 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 6, v: 1, e: 3, x: 4}. What is prob of sequence qe?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 9708002 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k + 1. Let v(x) = -117*x**2 - 7*x - 3. Let s(n) = -5*t(n) - v(n). Let q = -25 + 26. What are the prime factors of s(q)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.24 - -2.2. Let s = 0.03999926 + r. Round s to seven decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 42 and 210.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 3816a (base 12) to base 4\nAnswer: 102213202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -64\/49, -1\/7 in descending order.\nAnswer: -1\/7, -64\/49, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 816, 816, 814, 810, 804, 796?\nAnswer: 786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 123888.\nAnswer: 2, 3, 29, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 14*v + 2. Let l be u(1). Let j be ((-12)\/l + 6\/2)*-4. Which is greater: j or -11?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -543781 + 96760?\nAnswer: -447021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 3804, 15916, 36104, 64368, 100708?\n\"Answer: 4038*d**2 - 2*d - 232","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d + 4*d = 2*g - 15, -3*d = 3*g - 18. Suppose 2*p = -4*w - 2, 4*w + 11 = 4*p - d*p. Suppose -p*n + 14 + 1 = 0. List the prime factors of n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.096 + -0.104. Let z be 2*(1 + (-2)\/4)*(190 - 187). What is the second biggest value in -0.65, -1, z, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -7*y**2 + 110*y - 105. Let v(z) = -z**2. Let r(h) = -2*v(h) + x(h). Let r(k) = 0. Calculate k.\nAnswer: 1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times -6725?\nAnswer: 6725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in fifteen quarters of a week?\nAnswer: 37800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 212 and 124.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6956 is divided by 116.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c + 421 - 156. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7965 + 7975. Solve 5*u - y = 3*q - 13, 6 = -3*q + 2*u for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -12*o + 22. Let a(h) = -h + 2. Let u(j) = -22*a(j) + 2*s(j). Let f(p) be the third derivative of 7*p**5\/15 - p**4\/12 + 2*p**2. Determine f(u(y)).\nAnswer: 112*y**2 + 4*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 59 - 54. Suppose -4*j + 207200016 = -4*w, -3*j + s*w - 10*w + 155399980 = 0. What is j rounded to the nearest 1000000?\nAnswer: 52000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -n**2\/2 + 40701*n + 81404 = 0. Calculate n.\nAnswer: -2, 81404","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 311077.\nAnswer: 13, 23929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02 less than -160.479051?\nAnswer: -160.499051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 151, -1703, 0.\nAnswer: -1703, 0, 2, 151","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*h + 5*h**3 - 38510 + 38510.\nAnswer: 5*h**3 - 7*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h when three letters picked without replacement from aubahuhuuhauaba?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**4 + 21*w**3 + 30*w**2 - 48*w.\nAnswer: -3*w*(w - 8)*(w - 1)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uqabnnnqnbnnb. What is prob of picking 1 a and 3 n?\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*r + 52*r + 4*i - 1192 = 0, 9 = 3*i. Calculate the remainder when 3549 is divided by r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**3 - 11*i**2 + 11*i - 10. Let j be g(-12). Suppose 405 = j*s - s. Is s\/6 + 4\/(-8) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-21)\/14)\/((-5)\/(25\/60) - (-121824)\/10176)\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20\/16)\/((-1)\/(-4)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes before 8:47 PM?\nAnswer: 5:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17 + 47. Suppose -2*x + q = -0*x. What is the remainder when x is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 4 = 31. Let p(b) = -7*b**3 + 5*b**2 + 12*b - 11. Is p(c) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000045401 rounded to seven dps?\nAnswer: -0.0000045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 220269497 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -45\/2 + 23. Let l = -1.7 - -9.7. Let q = l + -8.5. Which is the biggest value? (a) q (b) 3 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 301956559 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.358893401973 and -73.\nAnswer: -72.641106598027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5618*l**5\/3 - 13437832*l**4\/3 + 2678354296*l**3 + 606477248*l**2\/3 + 11443328*l\/3 = 0. What is l?\nAnswer: -2\/53, 0, 1196","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-20 + 21)*2*1\/2. Are v and -2\/3089 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, 0, 238, 3 in ascending order.\nAnswer: -2, 0, 3, 5, 238","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + 2. What is the second derivative of 3*w**2 + 3*w - w**x + w**2 wrt w?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z**(3\/8))\/(z\/((z*z**(1\/7))\/z*z)))\/(z**0)**(-29))\/((z**(-2))**(-8\/11))**(2\/31) assuming z is positive.\nAnswer: z**(27193\/19096)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dcc when three letters picked without replacement from rrdacrc.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the first derivative of z**3\/3 - z**2 - 157*z - 7. Let b(t) be the first derivative of o(t). Give b(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((n*n*n**(-3\/2))\/n*n)\/n)\/(n*(n**(-15\/8)\/n)\/n))\/(((n\/((n\/(n**(3\/2)*n))\/n))\/n)\/n*n*n*n*n**11*n))**30 assuming n is positive.\nAnswer: n**(-1695\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -319509, -318745, -317981, -317217?\n\"Answer: 764*r - 320273","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 + -2 + 0 - -9) + 0 + -1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(65\/20)*30\/(248460\/(-533))?\nAnswer: 2\/101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -2480*q - 5037. What is a(-2)?\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 4 = -o. Let b(c) = c**2 - 2*c - 2*c + 3*c - 1. Let q(r) = -r**3 + 5*r**2 - 3*r - 2. Let v be 3\/1*4\/(-5 - -1). What is o*q(d) + v*b(d)?\nAnswer: -d**3 + 2*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 387?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -145*p + 72*p = 339*p + 4532 for p.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u**(-2\/7)*u*u**(-3\/5) assuming u is positive.\nAnswer: u**(39\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + -1.9. Let w = -0.9 - -1. Let y = l - w. Which is the third smallest value? (a) 2 (b) y (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -28, -57, -88, -121?\n\"Answer: -s**2 - 26*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 170*o + 0 + 169*o + 0 - 334*o.\nAnswer: 5*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -27*u + 4. Let a(c) = -55*c + 7. Let t(k) = 6*a(k) - 13*q(k). Differentiate t(g) with respect to g.\nAnswer: 21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9*h + 3 + 113*h**4 - 30*h - 120*h**4 wrt h?\nAnswer: -84*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*o**3 - 60224 + 60224 + 42*o**2.\nAnswer: -2*o**3 + 42*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 257 - -208. Is h a multiple of 68?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 142444 (base 5) in base 9?\nAnswer: 8205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -2*c - 6*d + 3*d, -4*d + 28 = -4*c. Let s be c - (3*-3 - 0). Is 6 at most s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u + 39 - 45. Factor -1\/4*n**2 + 1\/4*n - 3\/4*n**4 + 0 - 5\/4*n**u.\nAnswer: -n*(n + 1)**2*(3*n - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -805*s**3 - 4*s**2 + s + 6. Let x be j(-2). Let l = x + -4461. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6325692 to the nearest integer?\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -4*a - 15. Suppose 10*t + 20 = a*t. Let l = 17 + -7. Solve -b - t*b + l = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 104 = 4*a + 119, 4*a - 20 = -4*o for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101000000 - 110000100111111?\nAnswer: -101110111111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1728163 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - 825343?\nAnswer: -825339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 111536 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -36.1 + 36.2. Which is bigger: b or 0.81?\nAnswer: 0.81","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95 = -3*g - 80 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 219 and -3.5?\nAnswer: 222.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 100 and 8.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/7? (a) -45 (b) 2\/7 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0 (b) -3 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 537, 552, 577, 612, 657, 712, 777?\n\"Answer: 5*g**2 + 532","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6.321 + -87.691. Let t = 82.104 - 0.104. Let o = s + t. What is o rounded to 1 dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2166 (base 13) to base 10\nAnswer: -4647","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 464715 + 371713 = 36*n - 11182*n - 489946 for n.\nAnswer: -119","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7527048*l**3 + 3763515*l**3 + 3763537*l**3.\nAnswer: 4*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 34581, 34580, 34579?\nAnswer: 34578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 i when four letters picked without replacement from iiiiiiiiiiiiiviiii?\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2881*r + 25433 + 55235 for r.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/5 (b) 2\/11 (c) 25 (d) -2 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-27)\/5 - 33\/55. Let t(d) = d**2 + 6*d + 4. Give t(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**3 + 182190*r**2 + 1639953*r.\nAnswer: -3*r*(r - 60739)*(r + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -25*c + 50. What is h(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -3*n**2. Suppose -4*t + 14 = -3*o, 4*t - 22 = 3*o + 2*t. Let c(a) = a**2 + 9*a - 6. Let s be c(o). Let r(y) = -s - y - 1 + 5. What is l(r(q))?\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 3*t**3 + 132*t**2 + 130*t + 31. Determine a(-43).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2005?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15194459*i - 7196421*i + 73116130*i.\nAnswer: 81114168*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the third derivative of 20*z**2 - z**3 + 0 - 3*z + 1\/24*z**4. Determine d(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4471?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1045, -1065, -1121, -1231, -1413, -1685, -2065?\n\"Answer: -3*v**3 + v - 1043","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 9*t**4 + 2*t**2*z**2 - 6*t*z**2 - 6*z**2 + 2 wrt t?\nAnswer: 36*t**3 + 4*t*z**2 - 6*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1503*n - 48068 = -702*n - 800*n + 15037 for n.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-12)\/(-7))\/((-208)\/70 - -3). Does 60 = l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**2 - 4*f - 6. Does 18 divide k(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 65 (base 12) to base 14.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2))**13\/((m*m**9\/m)\/(m\/m**(-4)))*(m**(-8)\/m**(-3))\/(m*((m*m*m\/(m**(-1)\/m*m))\/m)\/m)**(-3\/11) assuming m is positive.\nAnswer: m**(-376\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 9) in base 4?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 3*sqrt(252)*4 + 5*(-2 + (sqrt(252)*-2)**2).\nAnswer: 72*sqrt(7) + 5027","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -517*x + 328 + 16727 = 620*x for x.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1051 (base 10) to base 6.\nAnswer: 4511","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04 less than 67809072?\nAnswer: 67809072.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 5*r**3 + 38*r**2 + 13*r - 54. Determine t(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9461*w - 233733 = 674523 for w.\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times -21.9892744?\nAnswer: 65.9678232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-5*(2*sqrt(684)*-2 + sqrt(684) + 3 - (-1*sqrt(684)*-5 + -4 + sqrt(684)*2))*-4)**2.\nAnswer: -336000*sqrt(19) + 27379600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -67*j - 29985. Determine f(-446).\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 12 = 4*z. Let h(s) = -s**2 - 2. Let v(a) = 4*a**2 + 7. Let j(r) = z*v(r) - 22*h(r). Find t such that j(t) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, -1, 0, -10 in descending order.\nAnswer: 3, 0, -1, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (5\/(-40))\/(219\/(-1452)). Let g = a - -1\/219. What is the third smallest value in g, -5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14 - -13. Let x = b - -3. What are the prime factors of 2 + 27 + x\/(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 339206*0.13.\nAnswer: 44096.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 2*y - 15. Let g be o(10). Solve -3*x + x + g = i, -3*i = 4*x - 7 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -79 + 74. Let f = 3 - 1. Let h = 1.5 - f. What is the closest to 1 in h, 1, n?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 152231 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 129 - 117. Factor i*n + 18\/7 + 8\/7*n**3 + 50\/7*n**2.\nAnswer: 2*(n + 3)**2*(4*n + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*a + 14*a**2 - 8*a + 13 - 1 - 3 to o*a**2 + k + g*a and give k.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3 - -2)*3*1. Let q = 9 - 3. Does 15 divide p*q*32\/(-36)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 135003 to the power of 1\/2, to the nearest integer?\nAnswer: 367","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 7412690 to the power of 1\/2, to the nearest integer?\nAnswer: 2723","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 22 + 56*d - 30*d + 44*d. Is w(2) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 4*c**3 - 3*c**2. Let q(r) = -r**3 + r**2. Let i(x) = -7*q(x) - 2*t(x). Let y be i(0). Calculate the least common multiple of 1 and (0 - y) + 2 + 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/10 and 103\/55656?\nAnswer: 278280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*m*q*u**3 - 5*m*q*u**2 - 298976*m*u**3 + 2*m*u - 26166*q - 10*u wrt q?\nAnswer: -4*m*u**3 - 5*m*u**2 - 26166","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-3 + sqrt(2448)).\nAnswer: -12*sqrt(17) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -5*w - 7. Let j(d) = -22*d - 29. Let i(n) = 6*j(n) - 26*r(n). Calculate i(8).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = 2*a - 130, 7 = 3*a - 2*g - 148. Calculate the remainder when 216 is divided by a.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 635*t - 356*t - 280*t. Let w(q) = 2682*q. What is w(d(n))?\nAnswer: -2682*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1542?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -56\/435 and 67\/184098.\nAnswer: 26694210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.969 + 221.431. Let t = -223 + r. What is the nearest to t in 9, 2\/11, -3, 0?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/6)\/((-32)\/24).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -56.3 take away 10.883?\nAnswer: -67.183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 27651?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 235, 2, -4, 1.\nAnswer: -4, -2, 1, 2, 235","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 13*j**2 - 2*j**4 + 8*j - 10*j**3 + 67 - 168 + 56*j - j**2 + 37 = 0. Calculate j.\nAnswer: -4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*z - 5 - 294*z**2 + 100*z**2 + 99*z**2 + 93*z**2 to g*z + d*z**2 + x and give g.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j = v - 81, 0*j - 5*v + 264 = 2*j + 250 for j.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 22, -2, 2, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jerwj. Give prob of picking 1 e and 1 j.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.1 (b) -2\/3 (c) 3.8 (d) 14149 (e) -0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 46\/19 and 9\/104?\nAnswer: 1976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 181888 and 43384?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.8 - 3?\nAnswer: 4.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 47 + -26. Let u = m + -15. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.2 - 0.3. Let n = -0.8 + -0.2. Let u = l + n. Round u to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19.711*-8.39.\nAnswer: -165.37529","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 26435000 rounded to the nearest 100000?\nAnswer: 26400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 20 + 412?\nAnswer: 432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 51, 113, 185, 273, 383, 521?\nAnswer: 693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4 - -2 - -6)*10. Let z(p) = 408*p - 2776. Let n be z(7). Calculate the highest common factor of m and n.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*g = -2*g + 216. Put 0.5, g, -1\/2, -4 in ascending order.\nAnswer: g, -4, -1\/2, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 5 + 2 = 2*h, 4*h = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qbqq when four letters picked without replacement from nnqqnqqqqnqnqndnbn?\nAnswer: 7\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3868.\nAnswer: 2, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 + -6. Let h be 1\/(-3) - l\/(-6). Let m be (h + -1)*2\/1. What is the nearest to 2\/5 in m, 2\/11, -3?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 25 + 577 = 4*j, 3*x + 151 = j. Let g = -55 + j. Suppose -g = w - 5*w. Calculate the highest common factor of w and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3\/18)\/((-4)\/(-4)). Let g(j) be the second derivative of -n*j**3 - 2*j - 3\/2*j**2 + 0. Determine g(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8497153 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 303739 (base 10) to base 5.\nAnswer: 34204424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2851536?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/128 of a day?\nAnswer: 2025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -14223.64 and 6?\nAnswer: -85341.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(32)\/sqrt(4)*3)\/(sqrt(12)\/(-1*sqrt(3))) - (-2*(0 + sqrt(72))**2 + 1)).\nAnswer: -3*sqrt(2) + 143","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h = -i + 2, 2*h - 127 = -2*h + 3*i - 133 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, k: 4, t: 8}. Give prob of sequence tth.\nAnswer: 14\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 840 divided by 20\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10010 (base 2) to base 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 167 is divided by 89?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5202, 10124, 15008, 19836, 24590, 29252, 33804, 38228?\nAnswer: 42506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1072 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(63)\/(sqrt(63)\/sqrt(7)) + (sqrt(42)*2)\/sqrt(6) + 4 + sqrt(28))**2.\nAnswer: 72*sqrt(7) + 583","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b + 148 = -452. Let q(r) = 5*r - 10. Let u be q(7). Calculate the highest common divisor of b and u.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -411.90169 + -1.95391. Let a = -414 - t. Round a to two decimal places.\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -2010107.\nAnswer: 4\/2010107","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/3 or -112?\nAnswer: -112","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bdf when three letters picked without replacement from pddbhbbhpfxp?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8196 divided by 4.\nAnswer: 2049","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -85588, -88991, -92396, -95803?\nAnswer: -99212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -57\/124?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3006, 5, 0.5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in m + 10*m - 4*m - 11*m.\nAnswer: -4*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the first derivative of -155\/2*x**2 - 65\/3*x**3 + 4 - 45*x. Let n(b) = 3*b**2 + 7*b + 2. Let u(h) = -45*n(h) - 2*t(h). Factor u(k).\nAnswer: -5*k*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13791713 is divided by 6895850.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (10\/(-6) - 0)*(-12)\/10. Suppose 4*y - 3*d = 3558, -4*y + y + 2677 = x*d. What are the prime factors of y?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 569932466.\nAnswer: 2, 293, 972581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 8 = -2*s, -s + 5*n = 2 - 0. Let j(x) = x - 5. Let v be (-1 - -3)*(-12)\/(-8). Let z be j(v). Sort z, 1, s.\nAnswer: z, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**3\/(((b\/b**18)\/b*b)\/b))\/(b\/b**(1\/4))**5 assuming b is positive.\nAnswer: b**(69\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/511 in -3, -537, 5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -87 - -124. Calculate the least common multiple of 10 and c.\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 14 = 5*j - j, -3*d = j - 4. Let y(w) be the second derivative of 0*w**2 - 2*w + 1\/3*w**d + 0. Let n(o) = 2*o**2. Calculate n(y(i)).\nAnswer: 8*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 2 t, and 1 d when four letters picked without replacement from dxxttd.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -72*x + 76*x - 7, 0 = 7*q + 21. Put 50, x, 3 in decreasing order.\nAnswer: 50, 3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in 24, 4, -865?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11 + 9 + 2*u + 3*u + (-5 - u + 5)*(-1 - 1 + 3).\nAnswer: 4*u - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 + -5. Suppose 18 = -o - 4*j, j + 5 = z*o + 2*j. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2553464 to the power of 1\/2, to the nearest integer?\nAnswer: 1598","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 90098193 to the power of 1\/2, to the nearest integer?\nAnswer: 9492","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 52859 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 13 - 19 = 3*a, -5*a = 0. Let h(z) = -2*z**2 + 3*z. Let y(u) = -2*u**2 + 4*u. Determine x*h(k) + 5*y(k).\nAnswer: 2*k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 44 and 50603428?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11 + 6. Let t = -5454 - -5453. Sort d, 3, 10, t in decreasing order.\nAnswer: 10, 3, t, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-52)\/22*(66 - (-18150)\/(-264))?\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and -0.289608.\nAnswer: 0.144804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 4, f: 3, g: 7}. Give prob of sequence fgu.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 44\/127 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 282, 565, 848, 1131, 1414, 1697?\nAnswer: 1980","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 33*z**3 - 17*z**3 - 15*z**3 + (3*z**2 - 3*z**2 - 2*z**2)*(3*z + 0 + 0) to the form l*z + v*z**2 + f + s*z**3 and give s.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 109*u**2 + 9*u + 28. Let z(t) = 55*t**2 + 5*t + 14. Let y(x) = -6*d(x) + 11*z(x). What is the first derivative of y(m) wrt m?\nAnswer: -98*m + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2499605 to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 7*z - 35. What are the prime factors of ((-6)\/4)\/(z\/210)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 4*i - i = -22, 4*i = 16. Suppose 2*j + l*j = -40. Let h = 17 + j. Is 4 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 2*p + 22, 0*y - 2*y + 3*p = -17. Suppose y = -m - 8. Let z = -1 - m. What are the prime factors of z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**3 - 12*x**2 + 8*x + 15. Let w be f(11). Let q be (-12 + 0)*6\/w. Let y be (2\/q)\/((-2)\/(-12)). Solve -2*h - y = -9 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmam when four letters picked without replacement from mmama.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/(-4))\/((-3)\/198). Let s = r + -29. Let u = -7 + 4. Which is the third smallest value? (a) 0.5 (b) u (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 123*n**3 + 27*n + 23614?\nAnswer: 369*n**2 + 27","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26434 is divided by 85.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 2368470?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(-4\/9)*l*l**(-1))\/(l*l*l\/l**(-2\/5)*l**(-4\/7)) assuming l is positive.\nAnswer: l**(-436\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 2 + 0)*(156*q**4 + 26*q**4 + 148*q**4) to the form w*q + s*q**4 + g + m*q**2 + k*q**3 and give s.\nAnswer: 990","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-23 - -2) + 25 + -12 + -3 + 13?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from {b: 2, k: 1, o: 7}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 132 divide 64812?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2868395105418 - -1.\nAnswer: 2868395105419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes after 11:38 AM?\nAnswer: 10:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5214.08665 + 0.08665. Let w = 5214.00002123 + n. Round w to six dps.\nAnswer: 0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert b6 (base 14) to base 3.\nAnswer: 12221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2222, -4417, -6580, -8711, -10810, -12877, -14912?\n\"Answer: 16*x**2 - 2243*x + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 104473 (base 9) in base 11?\nAnswer: 42937","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/14 - 72\/42. Let w be (k - -2) + (-112)\/(-1 + 3). Let i = w - -115. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -574, -1031, -1480, -1921, -2354, -2779?\n\"Answer: 4*o**2 - 469*o - 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -163*n - 5796 = 113*n. Let b = 3.1 - 3. What is the second biggest value in n, b, 0.2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/(-3))\/(1\/15*9)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from eeerrddr.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 0, -7036, -1\/4, -10, -140, -0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l + 2*l - 5*z + 50, 5*l + z + 56 = 0. Let a = -6703 + 20153\/3. Let h = l + a. Which is greater: 4 or h?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-43)\/215)\/(3\/(-2)). Let t = 0.13 - -0.87. What is the smallest value in 0, t, m, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y*y*y**(-8))\/(y\/(y*y*y\/(y\/(y\/((y*y**(2\/45))\/y))))) assuming y is positive.\nAnswer: y**(-137\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert a5 (base 13) to base 9.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -806*q + 789*q = 4*k - 221, -26 = -3*k - 2*q for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the third derivative of 0*d**7 - 11\/42*d**8 + 0 + 13*d**2 + 0*d**6 + 0*d**4 + 1\/30*d**5 - 2*d - 29\/6*d**3. Find the third derivative of q(z) wrt z.\nAnswer: -5280*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 44, 6\/31, 0.4, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -490 + 493. Factor 56*k**2 - 10301*k**3 - 30*k + 10295*k**s - 3*k**4 - 17*k**2.\nAnswer: -3*k*(k - 2)*(k - 1)*(k + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 2 + 3*t + 3*t + t + t**3 + 5*t**2 - 3*t. Let w be m(-4). Suppose -3*i + w*l + 220 = 0, 3*i - l = 4*l + 208. What is the tens digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 331, 182, 33, -116?\n\"Answer: -149*u + 480","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -y + 14, -8*w + 16 = 2*y - 10*w. Differentiate 87 + 0*x**4 + 9*x**3 - y*x**4 - 14*x**3 + 6 + 4*x**3 wrt x.\nAnswer: -20*x**3 - 3*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 705949.1g in tonnes?\nAnswer: 0.7059491","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/2 or -1750\/9?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.04025 and 0.03.\nAnswer: 0.07025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 7393 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s + 1. Let p(i) = 8*i + 24. Let x(o) = -24*k(o) + p(o). Let a(g) = -g**2 - 3. Let t(d) = -d**2 - 4. Let z(c) = -4*a(c) + 3*t(c). Determine z(x(l)).\nAnswer: 1024*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -103056.\nAnswer: -1\/103056","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2499.\nAnswer: 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aai when three letters picked without replacement from iaaiiiiiiaiaa.\nAnswer: 40\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 11505 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, 3, 13 in descending order.\nAnswer: 13, 3, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11 + -3314232?\nAnswer: -3314221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -3*c + 3. Let v(i) = -i. Determine p(q) - 4*v(q).\nAnswer: q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*x - 3*x + 2*x + (3*x - 1 + 1)*(1 + 2 - 1) - 1 + 2*x + 1)*(-4*x - 5*x + 12*x) to f + n*x + h*x**2 and give h.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.038*24.8\nAnswer: 0.9424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/(-8)*(-1)\/(-41). Suppose -17*p + 92 = -61. Suppose -t = -p*t. Which is smaller: t or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 4 = 2*p, -24 = -3*p + p + 5*k. Differentiate 0*m**3 - p*m**3 - 16 + 18 - 6*m**3 with respect to m.\nAnswer: -24*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2075*a = 2072*a + 60. Solve -6*d + 11*d + y + 25 = 0, -4*d = y + a for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n**2 - 4*n + 4*n)*(-n**2 + 0*n**2 + 0*n**2) + 0*n**3 + n**4 + 0*n**3 - 39*n**4 - 2*n + n + 4*n + (5*n**2 - 5*n**2 + 2*n**3)*(n + 3*n - 2*n).\nAnswer: -36*n**4 + 3*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-140)\/(-30)*((-2)\/(-6))\/((-4)\/(-54)). What is the greatest common divisor of 735 and u?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-846*i - 1203 + 1203)*(0 + 1 + 4)*(0 - 4 + 2).\nAnswer: 8460*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7399*c**2*n**5 - 17*c**2*n**2 + 10*c**2*n - c**2 + 11929*n wrt n?\nAnswer: 147980*c**2*n**3 - 34*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 4*n**2 + 7*n + 3. Let m be 2\/8 + (-7)\/(-4). Let h(l) = 3*l**2 + 6*l + 2. Let g(j) = m*c(j) - 3*h(j). Find the second derivative of g(z) wrt z.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68 (base 11) in base 10?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 144*w**2 + 143*w - 21. Let a(u) = 145*u**2 + 144*u - 18. Let c(l) = 7*a(l) - 6*z(l). Find the second derivative of c(x) wrt x.\nAnswer: 302","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -65\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 501*x**2 - 100*x**2 + 622*x**2 - 60*x**2 + 387*x**2 in the form f*x**2 + p*x + r and give f.\nAnswer: 1350","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*h - 9 = -69. Suppose 4*j - h*j = 0. Factor 0*f + 2\/3*f**2 + 2\/3*f**5 + 2*f**3 + 2*f**4 + j.\nAnswer: 2*f**2*(f + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -51 - -891. Let k be 1\/(-1 + (-1754)\/(-1752)). Suppose n + k = 12*z. Calculate the highest common divisor of z and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -484702, -484488, -484272, -484054?\nAnswer: -483834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 296 and 8?\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -23 - -87. What is the greatest common divisor of 8 and f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -2*h**3 - 2*h**2 + 2*h + 1. Let j be f(-2). Let m(y) = -y + 2. What is m(j)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 62*n**2 - 63*n**2 - 2 - 3 - n**3 + 6*n**4 in the form a*n**4 + r*n**3 + g + o*n**2 + u*n and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**2 + 4*i - 29. Suppose 402*l + 85 = 317*l. Let r(t) = t - 1. Give l*s(p) + 4*r(p).\nAnswer: -p**2 + 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(((1*(sqrt(68)*2 - sqrt(68)) - sqrt(68)) + sqrt(68))*1)\/(-6*(sqrt(576) - -1*sqrt(576))))**2 + -2.\nAnswer: -2575\/1296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -3*d - 2 + 0*d + 11*d - 1. Let a be f(2). Solve 0 = -2*u + 2, -l - 3*u - a = -5*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 145 a factor of 605375?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the third derivative of i**8\/60480 + i**7\/15120 - i**6\/1080 - i**5\/30 + 2*i**2. Let k(u) be the third derivative of z(u). Factor k(x).\nAnswer: (x - 1)*(x + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x - 5*y - 15, 3*x - 2*y - 1 = -16. Sort 4, 165, x in descending order.\nAnswer: 165, 4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffaffffdedddfffd. Give prob of sequence efd.\nAnswer: 3\/224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/12504 and -115\/6.\nAnswer: 12504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3852193 and 779?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 31 + 1 = 0. What is the third derivative of l**6 + 2*l**2 - 5*l**f - 3*l**2 - 3*l**6 wrt l?\nAnswer: -840*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*6469\nAnswer: -3234.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the second derivative of -3*j + 1\/3*j**2 - 1\/36*j**4 - 1\/18*j**3 + 0. Factor h(m).\nAnswer: -(m - 1)*(m + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/2 - (-140902)\/(-46960). Let s = h - 599207\/4015080. Let b = -2\/45 - s. Which is bigger: b or 0?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 88076?\nAnswer: 2, 97, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the second derivative of 39*p + 0 - 9\/2*p**3 - 23\/2*p**2 + 5\/8*p**4. Let s(a) be the first derivative of i(a). Differentiate s(l) with respect to l.\nAnswer: 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/9 (b) 658 (c) 25 (d) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggagaaaaaa. Give prob of sequence aaaa.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 763155 is divided by 2193.\nAnswer: 2184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -74360362 rounded to the nearest one million?\nAnswer: -74000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 32 + 38. Calculate the remainder when o is divided by 32.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 254539743?\nAnswer: 3, 109, 778409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**2\/4 + 183*x.\nAnswer: -3*x*(x - 244)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 184339\/3095 or 61?\nAnswer: 184339\/3095","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 2514304558?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 15 + -6 + (1 - -20 - 11) + -31 + 22\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -209*x + 3696 + 3619 for x.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.479 less than -0.2?\nAnswer: -2.679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 3, 2\/47, 2, 2.4, 5?\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12 - -14. Let h = 6169 - 6160. Solve 3*q + 18 = -0*q + 3*y, f*q + 5*y - h = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74 is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nrhhprnrhhrhnh. What is prob of picking 2 r?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 25896073?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.15 + 0.08. Let f = h + -0.03. Sort 4, -2, f in descending order.\nAnswer: 4, f, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j + 18 = 9*j. Suppose 5*v = a - 103, -3*v - 69 = -j*a + 3*a. Let s = v - -36. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*w - 6 = 66. Which is the closest to 0.1? (a) 5 (b) -0.4 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -85a849 (base 11) to base 3.\nAnswer: -2120220102220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4 and 13338.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (104 - 22260\/240)*((-14)\/20 - -1).\nAnswer: 27\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*h**2 + h**2 + 3 + 0*h**2 - h**2 as d*h + j + b*h**2 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 205 a factor of 84053895?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -3*k + k - 122, 0 = -4*r - 4*k + 276. Let d = 250 + r. Suppose -w + d = 4*w. What is the highest common factor of 9 and w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(448)*3 + sqrt(448))\/sqrt(4) + (sqrt(28) + 2)*-4 + 1.\nAnswer: -7 + 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 78, -82, 1\/7, -0.14?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -37709*c - 1395243. What is w(-37)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes before 5:35 PM?\nAnswer: 12:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11230 - 2313113?\nAnswer: -2301223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 11*x**3 - 31*x**2 + 23*x + 26. Let l(m) = -10*m**3 + 31*m**2 - 21*m - 24. Determine -13*l(j) - 12*v(j).\nAnswer: -2*j**3 - 31*j**2 - 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1519\/10 - 152. Let o(k) = -3*k**3 + 2*k**2 + 2*k + 1. Let v be o(-1). Let x = 35 + -35.4. What is the biggest value in v, r, x?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eemmememeee. What is prob of picking 2 e and 2 m?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -53 - 47 + 4*m + 15*m**2 + 98 - 4*m - 33*m**3 in the form k + o*m**3 + z*m**2 + b*m and give z.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 11) to base 16\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6\/48)\/(0 + (-1)\/(-8)). Sort -3, m, 3, -4.\nAnswer: -4, -3, m, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -277 - 80250?\nAnswer: -80527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/(-45)*(-10)\/8?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2124 a factor of 737392204?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 257796 and 11088?\nAnswer: 2772","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -204352*c**2\/11 + 613050*c\/11 + 18\/11.\nAnswer: -2*(c - 3)*(102176*c + 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 98367.9 + -98326.89595. Let i = 41 - v. What is i rounded to 3 dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*c = 3*y + 17*c - 7, -y + 15*c = -125 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (5\/3)\/(2\/(-6)). Let a = 2 - 9. Let z be 2*(-3 + 2) - a. Sort z, v, -1.\nAnswer: v, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 173*i - 34394 - 36156 = 1245. Solve -421*w = -i*w + 48 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3.9? (a) -2\/7 (b) -7 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79*x - 57*x = -79*x - 707. Let s be 2\/8 - (-60)\/16. Let o(r) = 2*r**2 - 7. Let z(b) = b**2 - 4. Calculate s*o(g) + x*z(g).\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -718*-66.\nAnswer: 47388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.22 - 15.22. Let a = -14.9 - q. Do a and -0.1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -38 - -41. Let n(h) = 165*h**2 + 3*h - 6. Let p be n(r). Suppose -4*s = -3*o + 2239, 5*s + 0*s + p = 2*o. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1389.37*-0.2.\nAnswer: -277.874","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -46*k - 3420. Calculate the smallest common multiple of l(-123) and 18.\nAnswer: 6714","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/8 - (-62)\/80. Put h, 5, 4\/5 in decreasing order.\nAnswer: 5, 4\/5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2595293?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-26*(-1 + 0))?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 2*c**2 - 2*c + 3. Let g be b(2). Let x(z) = z + 2. Give x(g).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 39558?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (64\/128*2\/(-5))\/(((-13)\/13)\/(-425))?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(10\/14))\/(236\/1180)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11 - -10. Let c be 2*(15\/(-21) - b). Sort 5, -2\/9, c in increasing order.\nAnswer: -2\/9, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1034*b = 2221*b - 47815 + 5500 for b.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37101*q = 35183*q + 153440 for q.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes after 8:26 AM?\nAnswer: 5:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((sqrt(396) + sqrt(396) + -1 + 4)*-1 - (3*-1*sqrt(396) - (-2 + sqrt(396) + sqrt(396) + sqrt(396)*2))))**2.\nAnswer: -300*sqrt(11) + 9925","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = 6*g - 2*g - 8, 4*g + 3*l - 8 = 0. Find the second derivative of 8*d**g - 4*d**2 - 4*d**2 - 4*d**3 + 5*d**2 + 2 - 4*d wrt d.\nAnswer: -24*d + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {b: 4, u: 16}?\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:55 AM and 5:54 PM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 16172?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -243*k - 6*l = -239*k - 674, -3*k + 509 = 5*l. Solve -k = -16*t - 94 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.205 rounded to 1 dp?\nAnswer: -12.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**3 + 15*b**2 - 16*b + 1. Let g be p(-16). Solve x + 2 = g for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 349 is divided by 71?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 - -2. Let s(c) = 2*c**z - 3*c**2 - 1 + 7*c - 5. List the prime factors of s(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, e: 9, b: 4, s: 1, t: 2, y: 2}. What is prob of picking 1 b, 2 u, and 1 t?\nAnswer: 8\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r**3 + 2*r**2 - 2*r**2)*(4*r**2 - 4*r**2 + 3*r**2) + 0*r**5 + 4*r**5 + r**5.\nAnswer: -r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1)\/(-1))\/((-1)\/(-9)). Suppose 2 = 2*r, 2*f - 6*f = 4*r - 128. Let p = 50 + f. What is the highest common factor of v and p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -4*q + 2*u, 4*q - 171 + 161 = 5*u for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1111110110 + -100101010000001?\nAnswer: -100011010001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2899771?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-176)\/(-8) + -8 - 9156\/672?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -456, -472, -488, -504, -520?\n\"Answer: -16*p - 440","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 150215369?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2 - -5)\/1 - 1. Suppose 3*v + 0*v + 71 = y, 94 = -4*v + h*y. Let w = 74 + v. What is the remainder when w is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the third derivative of 1\/24*g**4 + 1\/30*g**5 + 0*g + 1\/2*g**3 + 4*g**2 + 0. Is i(-4) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 45 * 101200\nAnswer: 4554000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*m**2 + 5*m**2 + 23 - 13 + 4*m**2 to r*m**2 + n*m + f and give r.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 67\/20 + -13\/5. Let w = -2094\/7 - -298. Let t = -4\/7 - w. Which is the second biggest value? (a) r (b) -2 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*p**3 + 181280*p**2 - 2175936*p = 0. Calculate p.\nAnswer: -45332, 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 63 + -58. Solve 2*x - 15 = k*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**5*g)**(-44)\/((g*g**(1\/3))\/g**(4\/3)))**(3\/11) assuming g is positive.\nAnswer: g**(-72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -10 - (13 - 20) - (-2 + 3 + -9)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 113 - 114. Put 7, -4, w in increasing order.\nAnswer: -4, w, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.19 - -16.81. Let q = o + -16.9999938. What is q rounded to 6 decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(-12) - (-14)\/(-12).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pplpppppppplppllpppp. Give prob of picking 2 l and 2 p.\nAnswer: 48\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 234 divided by 35\nAnswer: 234\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10 + -6. Let z = 24 - 29. Sort -7, z, b in decreasing order.\nAnswer: b, z, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*n + 1816493 = -1146613. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - ((-8 + 14 - -24) + -13).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -729 (base 14) to base 10\nAnswer: -1409","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -204*o + 202*o - 6 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2269 is divided by 142.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**2 - 4*q + 5. Let b be t(4). Suppose 6*m + 9 = m + o, 4*m + 24 = b*o. Do m and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -35 - -51 - (-5 + 15)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 23746041 and 2166?\nAnswer: 23743875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0296164939 to four dps.\nAnswer: -0.0296","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77 = -4*a + 69 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 24 (b) 0.3 (c) 0.107108\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9051, 9029, 8989, 8931, 8855, 8761, 8649?\nAnswer: 8519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i**5\/2 - 21*i**4\/2 + 19*i**3 + i**2 - 39*i\/2 + 19\/2 = 0. What is i?\nAnswer: -1, 1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.5 (b) 4 (c) 687 (d) -41 (e) -336\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 36134\/3, 0.01 in increasing order.\nAnswer: 0.01, 5, 36134\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 40 + 2a280?\nAnswer: 2a300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -102 * 0.4\nAnswer: -40.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 1 - 3)*(-3*x + 3*x - 2*x)*(-x - 5*x + 20*x + (-4 + 5 + 0)*(0 + 0 - 2*x) + 2*x - x - 3*x).\nAnswer: -40*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 155\/10 - -1*1\/2. Sort -2, 19, c.\nAnswer: -2, c, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 + -31 + 23 + -21?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 17 = 4*p, 0 = 2*p + 2*c - 5*c - 11 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - 3*a + 17 = 0, -4*a + 1 = 2*z - 5*a for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 7 (b) 295352\/3 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes after 1:57 AM?\nAnswer: 8:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*r**4 - 2793929*r**3 + 565647422*r**2.\nAnswer: -192*r - 16763574","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + 0 - 0 - 1) + 161 + -159.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 37 * 156789.\nAnswer: 5801193","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 2*h - 3 - 3, 3*n + 3*h = 21. Suppose 2*i + n*y - 8 = y, -2*i - 4 = 4*y. What is the remainder when 1 is divided by -2 + -2 + -1 + i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - 4 - (6 - (-7 + 14))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 6.22, 2, 1\/5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*a**2 - 32*a - 74*a**3 + 31*a**3 + 20*a - a**2 + 44*a**3 as u*a**2 + p + m*a + r*a**3 and give u.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h - h + 4*h)*(h - h + h**2) + 2*h**3 + 3*h**3 - 3*h**3 - 2*h**3 + h**3 + 2*h**3 + 0*h**2 - 2*h**3 - h**2 + h**3 + h.\nAnswer: 4*h**3 - h**2 + h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 3 + 2*k)*(2*k**3 + 9 - 9) - 6*k**4 + 7*k**4 + 8*k**4 + (k**4 - 3*k + 3*k)*(1 + 3 - 6) in the form j*k**4 + f*k + x*k**2 + z + b*k**3 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(-3)\/(-2)*68*(980\/(-21))\/(-140).\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3506 - -7047. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 85793*p - 86439 with respect to p.\nAnswer: 85793","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/304 and -25\/1976.\nAnswer: 3952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**2 + 6*g + 5. Let z be p(-5). Let l be 0 + (-4 - (z + -1)). Let y = l + 5. Which is smaller: -1 or y?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -2412*k**2 + 26*k + 2413*k**2 + 130 + 1. Determine u(-19).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 263.941 - 264.241. Let z = 6 - 4. Which is the smallest value? (a) k (b) z (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -m**3*s**2 - 107353053*m**3 - 8*m*s**2 - 312124*m*s wrt s?\nAnswer: -2*m**3*s - 16*m*s - 312124*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/((77\/14)\/(-11)). Solve -5*d - 20 = 0, 6*p + 2*d = p - j for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15889510?\nAnswer: 2, 5, 7, 13, 19, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 1249 = 2*t, 4*s + 447*t - 1009 = 444*t. Is s a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 h when two letters picked without replacement from {b: 1, h: 3, x: 2, j: 5, d: 1, k: 1}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -4, -1, 0.3, 51, 1\/39?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = j - 6, 5*j = -a - 7 + 5. What is the third biggest value in 0.0501, a, 3\/2, -5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the second derivative of x**3 + 3*x**2 - 2*x. Let u be o(-6). Let r = u - -42. Solve 2*c = -2*c + r for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 237 - 6871\/29. Let f = -194.5 + 195. Let j = -31 + 61\/2. Which is the smallest value? (a) n (b) f (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*1275819.3.\nAnswer: -1275819.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -38*g**2 + 8. Let q(h) be the first derivative of -2*h**3\/3 - 8030. Determine t(q(j)).\nAnswer: -152*j**4 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1940.111255 - 0.2?\nAnswer: -1940.311255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**3 + s**2 + 99. Let r be ((-1 + 1)\/(-2))\/2. Let m be z(r). Let w = 172 + -163. Calculate the highest common factor of m and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 - 1. Sort 4, 0, f in decreasing order.\nAnswer: 4, f, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 855*p + 2618. Let o be i(-3). Solve 25 = 14*l + o for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 105045 to the nearest integer?\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**3 - 74*q**2 - 1446*q - 13906. Give h(-51).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 39 + -29. Let p be 2\/((2\/5)\/(8\/h)). Let m be (-2)\/(-5) - 1\/15. Which is the third smallest value? (a) m (b) p (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of -9 + (-762)\/(-12)*18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2709*l + 1043*l - 13966 + 111251 = -97819 for l.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - 1. Suppose 28 = y - 2*j + 2, -2*y + j + 58 = i. Calculate the highest common divisor of y and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 6, o: 4, e: 7}. Give prob of picking 1 d and 1 o.\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 115 = 5*u, 4*m + 0*u = -3*u + 146. Let a = -33 + m. Solve -2*j = -4*f - 18, 0 = -a*j - 2*j + 20 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9076.\nAnswer: 2, 2269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -d**3 - 906*d**2 - 16901*d - 42576 = 0?\nAnswer: -887, -16, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8.3 - 8. Let v = c + -0.13. What is v rounded to 1 dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -20*d. Let u(k) = 9*k. Let l(g) = -4*q(g) - 9*u(g). Let z(i) be the third derivative of 5*i**4\/24 - i**3\/6 - i**2. What is 4*l(v) + z(v)?\nAnswer: v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*q + 6 = 19*q. Suppose 12 = q*g - 0*g. Suppose -5385 - 59 = -g*d. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24812, 29206, 175828, 461356, 932092?\nAnswer: 1634338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -e17d2 (base 16) to base 11.\nAnswer: -580a09","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 5\/6, -1\/9, -2\/7 in increasing order.\nAnswer: -12, -2\/7, -1\/9, 5\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**2 + 6*u - 3. Let a be z(-7). Let v(p) = 3*p - 3*p + a*p. Let b(x) = 2*x. Determine v(b(d)).\nAnswer: 8*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 24 = t + 3*t, -5*j - 9 = 2*t. Suppose -18 = -0*d - 2*d - 4*n, 0 = t*d - 4*n - 37. Is 11 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 247 and 1.\nAnswer: 247","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-3))**(-45))**28 assuming a is positive.\nAnswer: a**3780","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (162\/486)\/((-3)\/((-36)\/(-8)))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10140 = -945*d - 610*d + 427*d - 562*d for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 17*k + 19*k = -142, 3*u - 164 = -4*k. Solve 68 = u*b - 47*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -2*j**2 - 3*j - 8. Let d(q) = 2*q**2 + 4*q + 7. Let h(o) = 3*d(o) + 2*t(o). What is the remainder when 14 is divided by h(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -1 - 8*w + 10*w - 2 - 7. Let f be k(7). Suppose 6*x = f*x + 38. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:30 AM and 11:21 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or 1856671?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 369390127 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8 - 8 - 7*d + (4*d - 4*d + d)*(-4 + 3 + 2) + 5*d + 0*d - 4*d + 288*d + 523*d - 277*d.\nAnswer: 529*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -506*v**2 + 1005*v**2 - 498*v**2 + 122. Let l(u) be the second derivative of u**3\/3 - 8*u. Calculate t(l(i)).\nAnswer: 4*i**2 + 122","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -4*r + 6 - 142, -2*r - 96 = 5*a. Let x be (3 + -1 - r)*(-28)\/(-35). Calculate the highest common factor of x and 224.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z - 3*z + 3*z)*(5*z**4 - 3*z**4 - 5*z**4) - 801*z**5 - 873*z**3 + 873*z**3.\nAnswer: -807*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -88*t**2 - 21 + 0 - 30 - 69*t**2 - t + 184*t**2 in the form d*t + p*t**2 + h and give p.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1845.\nAnswer: 3, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3696 is divided by 3689.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the first derivative of -c**5\/30 - c**4\/8 + c**2\/2 + 2. Let w(m) be the second derivative of r(m). Let z(y) = -y - 4. Let a be z(-2). Give w(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r + 0*r - r)*(4*r - 11*r + 4*r).\nAnswer: 6*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 67885, 67890, 67897, 67906, 67917, 67930, 67945?\n\"Answer: j**2 + 2*j + 67882","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 513*20\/18*(43395\/25)\/11?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, a: 5, w: 3, j: 1, n: 5, x: 3}. Give prob of sequence wyjx.\nAnswer: 1\/8160","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (597*l + 1563*l - 150*l)*(-2*l**4 - l**4 + 5*l**4).\nAnswer: 4020*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r = w - 5*w + 287, 391*w + 387*w = 786*w - 5*r - 279 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u + 5*a - 9, -6*u + 4*a + 24 = -4*u. Let o(c) = c. Let t = 1 + -1. Let l be -2 - t\/((-8)\/2). Let y(f) = -f**2 + 3*f + 1. Give l*y(n) + u*o(n).\nAnswer: 2*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.3 (b) 2 (c) 2\/9 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 114 less than or equal to 110?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7*x**4 + 190*x**3 + 4015 wrt x?\nAnswer: -28*x**3 + 570*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c*c**(-2\/5))**(-4\/7)*c*c**(2\/13)\/c*((c\/(((c**7\/c)\/c)\/c))\/c)\/c)\/((c**0)**(20\/3)*c**(1\/2)\/(c\/(c*c*c**(-1)*c*c)*c)) assuming c is positive.\nAnswer: c**(-6607\/910)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7918 and 160654.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 47*f**3 + 4*f**2 - 19*f - 5323.\nAnswer: 141*f**2 + 8*f - 19","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, 8, 40, -1 in ascending order.\nAnswer: -1, 2, 4, 8, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/4*(4 - 8).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -112 + (56 - -88) + 56.\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 770 and 3250345?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5 - -4)\/((-2)\/(-118)). Let k = s - -87. Suppose 0*r = 3*r - 12. What is the highest common divisor of k and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.5, 9\/17, -1156?\nAnswer: 9\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**0)**(-6\/7)*(a**(-1))**(-34))**(-33) assuming a is positive.\nAnswer: a**(-1122)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4505 + 26*d**2 - 99081*d - 34*d**2 + 5*d**4 + 99063*d wrt d.\nAnswer: 20*d**3 - 16*d - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 - -7)*-2 - 0. Let f = s - -16. Find the second derivative of -f*m**4 - 2*m - m**4 + 9*m - m wrt m.\nAnswer: -84*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-32)\/(-160) - (-696)\/(-480).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 1 = 2*y - 2, 2*y - 5*t = 33. Suppose 1128*m - 1143*m + 180 = 0. Suppose 5*x - m = 4*v, -28*v + 9 = x - 31*v. Solve -y*c = -x*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -23\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*b - 8*b**2 + 0*b + 13*b**2 + (-1 - 2*b + 1)*(-5*b - 10*b - 5*b).\nAnswer: 45*b**2 + 3*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -4*c**2 - 10*c + 4. Let h(o) = -o**2 - 3*o + 1. Calculate -4*b(r) + 14*h(r).\nAnswer: 2*r**2 - 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*c**3*g**2*r**2 - 4208*c**3*g**2 - 36*c**3*g + 3*c**2*g*r**2 - 45*c*g*r**2 wrt g.\nAnswer: -6*c**3*r**2 - 8416*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6991.136 rounded to the nearest 1000?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*n + 1 + 2*n - 6*n + (n - 18*n + 3*n)*(-3 - 1 + 3) + n - 3*n + 4*n.\nAnswer: 14*n + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -10035 divided by -4?\nAnswer: 10035\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 6*z - 24. What is the second derivative of 45*k + 18*k**z - 22*k - 7*k wrt k?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -116 from -47.3313559.\nAnswer: 68.6686441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -9*t + 6*t. Suppose 2*a + t*a = 11418. What is the thousands digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*u - 21*u + 2119 = -192*u for u.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 4, d: 7, c: 7}. What is prob of sequence dccd?\nAnswer: 49\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 161.3228 grams?\nAnswer: 0.1613228","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 - -147316783?\nAnswer: 147316778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, n: 1, y: 2, u: 11}. Give prob of sequence lnyu.\nAnswer: 11\/16380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.268369ml in litres?\nAnswer: 0.003268369","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + 5*b. Suppose -k - k + 16 = b. Let a be (-100)\/(-45) + 2\/(-9). Calculate the greatest common divisor of a and k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(245)*1)**2*4 - (sqrt(490)*-3)\/sqrt(2)).\nAnswer: 21*sqrt(5) + 980","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -20*x + 1509. Determine k(75).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 10, 3, 18, 321 in decreasing order.\nAnswer: 321, 18, 10, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -31*x + 131. What is f(7)?\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 - 2*j)*(-18*j + 11*j - 32*j + (-4 - 2*j + 4)*(-4 + 5 - 2) - 2*j + j + 2*j) as s*j + r*j**2 + d and give r.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 - -1. Solve -r - s = -4 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (53 - (-8 - (26 - 60))) + 46.\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -15875832 rounded to the nearest ten thousand?\nAnswer: -15880000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 323913927?\nAnswer: 3, 487, 221707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l + 1. Let k(j) = 3*j + 3. Let h(y) = 2*f(y) - k(y). Let n be h(3). Let m = 3 - n. Is 7 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2196992607?\nAnswer: 3, 79, 9270011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**2. Let o(y) = 2*y - 6. Let r be o(4). Let w(k) = k**2 + 0*k**r - 3*k + 3*k. Give x(w(c)).\nAnswer: -c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -7*p - 288. Let d be s(-41). Let h(a) = a - 1. Let c be ((-25)\/20)\/((-1)\/(-4)). Let r(j) = 3*j - 2. Let x(v) = c*h(v) + 2*r(v). Calculate x(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 24597220 from -0.02.\nAnswer: -24597220.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a + a - 4*b = -109, b - 85 = -4*a. Let k = -3423 + 3435. Calculate the lowest common multiple of k and a.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89 - 7430 + 966 = 28*x + 97*x for x.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.05 + -0.1. Let r = -3.95 + s. Which is the closest to 1? (a) 0.3 (b) r (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/19262016 and -137\/5652.\nAnswer: 19262016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 e when three letters picked without replacement from {f: 2, z: 3, d: 1, e: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 115959 is divided by 38647.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**3 - l + 3. Let z be 0\/2*(-3 + 2). Suppose 0 = 2*o + 3*o - 40. What is the remainder when o is divided by p(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3 - 3 - 2*-190. Does 10 divide b\/(4 + 1) - -4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/8, -3\/7, 2\/7, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 5*c - 12. Let g(z) = -2*z**2 + 5*z**3 + 0*z**c + 0*z**3 + 3 - 3*z**3 - 3*z. What is g(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-627)\/5 - (-6)\/(-10). Let g = -60 - w. Suppose -g = -5*z - 6. What is the smallest common multiple of z and 20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4392 and 3960.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.181 - -0.181000214. Round f to 7 decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 268 is divided by (-12)\/21 - (-6)\/(126\/579).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q - 2 = -14*v, -2*v - 528*q + 526*q + 8 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(425) + sqrt(425) + 3)*-5 + sqrt(425) + 4 + (sqrt(425) + 2)**2 + sqrt(425))*-3.\nAnswer: -1254 + 60*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2025 minus -256?\nAnswer: -1769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + 50 = 5*h, -19*h = -18*h + 8*m + 34 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -j + 1. Suppose -a = j*a + 21. Let r(m) = -2*m + 9. Is r(a) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 2*n**2 - 4*n - 6. Let j be s(-7). Let a(l) = 23*l**2 - l. Let u be a(-1). Calculate the highest common factor of u and j.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2089 is divided by 71?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 59209875349 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(3) + -1)*5 - (-1*sqrt(18))\/sqrt(6))*1 + (sqrt(6) - (sqrt(66) + sqrt(66)*1)\/sqrt(11))\/(sqrt(384)\/sqrt(12))*-5.\nAnswer: -19*sqrt(3)\/4 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -32522 (base 6) in base 4?\nAnswer: -1012202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - -1 - 6) + (4 - 2) - (-3611 + 3566)?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2019 is divided by 228.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.28*-651\nAnswer: 182.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3015 - 1841 = -4*n. Suppose 4*c - 662 = -4*a + 546, 4*a - n = -c. List the prime factors of a.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 190 is divided by 39.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2835\/54)\/(((-13)\/26)\/((-1)\/(-3))).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -6*w + 30. Let j = w - 3. Suppose -j*i = 2*z - 208, -5*i - 4*z = -z - 348. Does 24 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*m = 10*m + 20*m - 699600. Is m a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5537000 rounded to the nearest one hundred thousand?\nAnswer: 5500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 2188 divide 537549277?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 795829990?\nAnswer: 2, 5, 89, 894191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) -2305 (c) 27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1\/2, 2\/7, -9?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 265 (b) -79 (c) 2.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -45718*t**3 + 0 + 45718*t**3 + 1892*t**4 + 5 - 1 + 2*t wrt t.\nAnswer: 22704*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes before 7:50 PM?\nAnswer: 4:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes after 4:07 AM?\nAnswer: 4:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -2*s - 4. Let h be i(-8). Let c = h - 8. Suppose -c = a - 6. Solve 2 = 2*x - 2*v, a*x - 4 = 4*x - 4*v for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -17*q**3*u**3*w + 125*q**3*w - 211*q*u**3*w - 6*u**2*w wrt u.\nAnswer: -102*q**3*w - 1266*q*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 12612 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/7 in 0.4, -0.4, 1, 0.14?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 387682448 and 592?\nAnswer: 592","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/7 (b) -1\/4 (c) -15 (d) -0.2 (e) -2132\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve x**5 + 770*x**4 - 14908*x**3 + 65422*x**2 - 51285*x = 0 for x.\nAnswer: -789, 0, 1, 5, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 205 divided by -1\nAnswer: -205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1059293 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -2*j + 1186, 0 = i - 2*j + 49 - 338. Calculate the greatest common divisor of 413 and i.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-1 + 1 + sqrt(475) + 4 + -5 + -1)*6)**2.\nAnswer: -2880*sqrt(19) + 68976","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 4*i - 7. Let w(m) = -m. What is g(u) + 6*w(u)?\nAnswer: -2*u - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, d: 1, q: 5, p: 1, a: 6, g: 2}. What is prob of sequence qggd?\nAnswer: 1\/4368","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4232 + 5407. Calculate the greatest common divisor of a and 75.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 723*y = 32*c + 728*y + 165, -5*y - 10 = c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + 1. Let k = 0 - -0.1. Let d = k - l. Sort d, 2, 3 in descending order.\nAnswer: 3, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 72071999 to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 28 + 2*i**2 + 191*i + 142*i - 65*i as r + k*i + s*i**2 and give k.\nAnswer: 268","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**3 + 9*v**2 - 12*v - 20. Let b be j(-10). Suppose b = s - 3*s - 4*a + 6, -2*s + 3*a - 29 = 0. Let y(n) = 3*n + 5. Give y(s).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 242919 is divided by 242876?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -5020 divided by -1255\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are -4393836\/25 and -175753 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 2275*m**5 + 414065*m**4 - 2106195*m**3 + 3380395*m**2 - 1679320*m - 11220 = 0.\nAnswer: -187, -3\/455, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1679 is divided by 70.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 606\/(-15) - -3*2\/15. Let a = o - -44. Suppose -a*d + 6*d - 2534 = -4*k, -5*d = 4*k - 2525. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 - 4*n + (-6*n - 12 + 12)*(1 + 6 - 3))*(0 + 0 + n**2) in the form i + q*n + l*n**3 + y*n**2 and give l.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 259 and 63.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -3998.47+-1000115094\nAnswer: -1000119092.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*t**2 + 4*t**2 - t**2)*(-3400 - 5995 - 2044 - 4274 - 2063).\nAnswer: 53328*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10010011001111001101101110 - -11?\nAnswer: 10010011001111001101110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -4*sqrt(252) + -1)**2 - (sqrt(448)*1 + sqrt(7) + (sqrt(700) + 2)**2).\nAnswer: 47*sqrt(7) + 3332","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -37453, -37336, -37133, -36844, -36469, -36008, -35461?\nAnswer: -34828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kpkk when four letters picked without replacement from {k: 13, z: 3, c: 1, p: 3}.\nAnswer: 143\/3230","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 238?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**(-1))**24*h**(-5)*h*h**(-2\/7)\/h)\/(((h*h**0)\/h*h)**0*(h\/((h\/h**1)\/h))**(2\/17)) assuming h is positive.\nAnswer: h**(5055\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -16\/21 and (-15)\/(-54) - (3\/3)\/(-2).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -54 + 56. Differentiate -5*i**2 + 10*i**2 + 21 + 10*i**j + 80 + 4*i**2 wrt i.\nAnswer: 38*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**3 - 9*d**2 - 21*d - 126. Suppose 62*p = 55*p - 63. Let u be q(p). What is the greatest common factor of u and 105?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -3*k**2 + 9*k - 1. Let q(w) = w**2 - 5*w + 1. Let l(t) = -3*n(t) - 5*q(t). Is 9 a factor of l(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11989 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -139*c**6 - 69*c**2 + c?\nAnswer: -16680*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + 6 + n - 2*n + (2 - 2 + 2)*(3*n + 2 - 2).\nAnswer: 5*n + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in -165, -5, 9?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 43 - 43 + 17*q + (0*q - q - q)*(1340 + 1268 - 3099).\nAnswer: 999*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the second derivative of -b**3\/3 - 2*b + 12. Let g(u) = -4*u. Calculate g(o(r)).\nAnswer: 8*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2846 + 38548?\nAnswer: 35602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7451 is divided by 245?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from {c: 6, p: 1, u: 3, j: 2}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**2. Suppose 5*s + 1292 = 22417. Let c(z) = 1 + 4188*z - 1 - s*z. What is j(c(w))?\nAnswer: 1369*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -40 - -42. Let b be -16*((-60)\/16 + h). What is the tens digit of 3672\/b + 2\/(-14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 7 - 5)*(3 + 3*p - 3)*(0 + 0 + p**2).\nAnswer: -6*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 3117*t**2 + 20*t + 47. Is v(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(128) + sqrt(2)*-3 + 5.\nAnswer: 5 + 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 58?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -7*q**2 - 11*q + 4. Let k(l) = -8*l**2 - 12*l + 5. Calculate 7*h(r) - 6*k(r).\nAnswer: -r**2 - 5*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes before 1:59 AM?\nAnswer: 6:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 22707\/8 + 3\/8*g**2 - 261\/4*g = 0.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -79*v**2 - 64*v**2 - 53*v**2 - 69*v**2 + 211*v**2.\nAnswer: -54*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5.589 and -63.44.\nAnswer: 354.56616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -2*y + 3. Let w be h(3). Let x be (-3)\/(0 - w) + 1. Solve 0 = r - x + 1 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100010121 + -222101202?\nAnswer: -1022112100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3*(3 + -42)\/(-1). Let i = -112 + m. Let s(t) = 3 - 1 - 6*t + 6 - i - 2*t**2. Give s(-5).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jffjjjfjfj. What is prob of sequence ff?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -359 + 364 = 5*l, 0 = -4*w + 4*l - 288 for w.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11350 + -79748\/7. Let i = t - -304\/7. Factor -4\/7 + i*j - 2\/7*j**2.\nAnswer: -2*(j - 2)*(j - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 8 = -2, -5*y = 2*a. Suppose 173745 = a*z - 24250. Let k be 0 - 0 - (5 - -5*z). What is k rounded to the nearest 10000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -809819*b**3 - 1309342*b**2.\nAnswer: -4858914","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*s + 26*s + 15 = 0. Suppose 4*b - 87 = -3*x, s = 4*b - x - 64. Solve 3*i + 3*f = b, 5*i + 3*f = 4*i + 14 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**3 + 6*z**2 - 7*z + 1. Let r be i(-7). Let j(h) = h + 1. Let n(m) = 2*m + 4. Let g(f) = r*n(f) - 4*j(f). Let v(w) = w. Calculate g(v(u)).\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4 - -4) + -2 - -5. Which is greater: -2 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes before 1:53 PM?\nAnswer: 6:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - n - 5 = 4*h, 4*h - 5*n = -33. Let w = h - -3. What is the remainder when w is divided by (-46)\/(-161) + (-10)\/(-14)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 465.685 + -462. Let a = t - -0.415. Which is smaller: a or 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(57)*2*-5 + sqrt(57) + sqrt(57) + sqrt(285)\/(sqrt(5)*-1))\/(sqrt(108) + (sqrt(108) - -6*sqrt(108)*2)).\nAnswer: -3*sqrt(19)\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 3*k + 20 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 28 - 158?\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the second derivative of -7*p**3\/6 - p. Let l(u) = -3*u + 4*u - 2*u - u - u. Determine 13*l(x) - 6*v(x).\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -7.14 (b) -2\/9 (c) 0.5 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 3, v: 1, y: 3}. What is prob of picking 4 v?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-33)\/22)\/((-3)\/(-18)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 - -14. Let f = -7.3 + q. Which is the closest to f? (a) -1\/7 (b) -1 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7297 - -7300. Solve 4*u = -12, 11*x - a = 12*x + 2*u for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 22\/39 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1047895 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2973 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57908.\nAnswer: 2, 31, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1447*y + 791*y = 31488 for y.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -265 - -2491. Suppose -4*v = -5*x + p, -4*x - v + 1856 = 71. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k and 1 c when four letters picked without replacement from ckkckkcccckkckkcckc.\nAnswer: 70\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 11745499 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j + 8. Suppose -2*b = 0, 0 = 8*o - 3*o + b - 5. What is the least common multiple of o and h(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(12)\/sqrt(4)*4 - (sqrt(3) - (-1 + sqrt(3)))*-6) + 4*(1*sqrt(363) + 3 - sqrt(363)))**2 + -4.\nAnswer: 176*sqrt(3) + 528","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(3)*1*1)**2 + -3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1399975?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 13891, 3, -0.5, 11, 4, -5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 36291 and 1854.\nAnswer: 22427838","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/8*(-3 + 2 + 5).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 206170892 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are 72 and -8 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 78 - 75. Let l = -1 - -1. Suppose 3*x + h - 9 = l. What is x rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*507\/130)\/(6\/(-5))?\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -457.7 + 440. Let d = g - -19. What is d rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -11*p**3 - 5*p**2 - 4*p + 4. Determine u(-2).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -17.4 + 17. Let y be (-4)\/(-2) - (-16)\/(-7). What is the third smallest value in k, y, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + 0.6. Put -1\/3, -5, s in decreasing order.\nAnswer: -1\/3, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -131 + o - o + 168 - 3*o**2 + 108 - 145.\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120 = 36*h + 20*h - 66*h for h.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*i - 29149*f + 29153*f + 28, 0 = 4*i - 23*f - 68 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2101.41 + -2486. Let s = m + 8.59. Let f = s - -374.31. What is f rounded to 1 dp?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54137676 a multiple of 292?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-2)\/(-9) + 928\/36?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the second derivative of -2*f**7\/7 + 94*f**6\/15 - 176*f**5\/5 - 64*f**4\/3 - 8*f - 1. Factor l(u).\nAnswer: -4*u**2*(u - 8)**2*(3*u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - 2556 - 870. Let y = -82183\/24 - j. What is the common denominator of 111\/44 and y?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l = -9*l + 210. Suppose -23*f + l = -22*f. Let n = 142 - f. Does 18 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1968 = 417*l - 4704 for l.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.705 - -60332887.9.\nAnswer: 60332891.605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 5*t - 3*t + 2*m, 0 = 2*t + m - 5 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.02 - -19.02. Let t = x + -42. Let a = 23.0000082 + t. What is a rounded to 6 decimal places?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 607710 is divided by 82.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -2*b**2 - 3*b + 4. Suppose -58*y + 54*y = 16. Calculate j(y).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the third derivative of 0*w**3 - 1\/24*w**4 + 0 + 0*w**5 - 7\/40*w**6 + w**2 + 0*w. Is p(-1) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 762 from -9640465.63.\nAnswer: -9641227.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 19 and 463.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(3\/11)\/a)\/a*a*a\/((a*a**(-4\/11)\/a)\/a)*a**(-4\/3)\/(((a\/a**12)\/a)\/a) assuming a is positive.\nAnswer: a**(472\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes after 5:16 PM?\nAnswer: 7:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.5 (b) -0.1 (c) 4 (d) 4\/5 (e) 5 (f) 9900 (g) 234\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - -4) + -3 - (5 - 7)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 + 4 + 5\/(-5). Suppose d*a + 0*a - 6048 = 0. Let i be ((-2)\/(-3))\/(16\/a). Calculate the highest common divisor of 21 and i.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 100 (base 13) to base 16\nAnswer: a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/((-27)\/(-2))*6\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3c (base 13) in base 7?\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 2909?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -l*p**2 + 4*l*p + 24599751*p**2 + 4351505*p wrt p.\nAnswer: -2*l + 49199502","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2\/29 - 92\/493. Let x be 6\/32*(-6)\/9. Which is the biggest value? (a) g (b) x (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -0.305?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 7153907 to the power of 1\/2, to the nearest integer?\nAnswer: 2675","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, p: 3, i: 3, d: 2, y: 4, q: 1}. Give prob of sequence mqmp.\nAnswer: 1\/5460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 647?\nAnswer: 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*l = -13*l - 100. Suppose -57*x + 4576 = -1124. Calculate the highest common factor of l and x.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-25888)\/(-96) + -36)\/((-2)\/(-6)) is divided by 80.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -432 - -437. Solve 9*d = v*d - 8 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -490, -488, -494, -514, -554?\n\"Answer: -u**3 + 2*u**2 + 3*u - 494","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 - 48\/(-3) - 4. Suppose -6*s - x = -9*s. Suppose -k = -4*n + 183, 2*k = s*k - 2. What are the prime factors of n?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 203.773 grams?\nAnswer: 203773000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + 2*i + 1 + 5, 0 = -x + 4*i. Let p(t) = -t**2 + 6*t - 1. Determine p(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 744851 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1582424 to the power of 1\/3, to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l**3 - 4*l**3 + 4*l**3)*((5 - 5 + 2)*(-1 - 3 + 6) - 5 + 1 + 5).\nAnswer: -10*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2256 less than 15?\nAnswer: -2241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 133*u - 127*u = 906. What are the prime factors of u?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 12*w**3 + 9*w - 5. Let z(a) = -6*a**3 - 5*a + 3. Let x(l) = -3*c(l) - 5*z(l). What is the second derivative of x(m) wrt m?\nAnswer: -36*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.027199 rounded to four dps?\nAnswer: -0.0272","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-680)\/68)\/(14\/126)?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(102)\/(1*(sqrt(6) - 2*sqrt(6))))**2.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108 = 31*n - 47 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3308609*j**2 + 6617892*j**2 - 3308781*j**2.\nAnswer: 502*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the first derivative of -2*n**6\/15 - 13*n**3\/2 + 17*n**2 - 11. Let x(y) be the second derivative of v(y). Differentiate x(s) wrt s.\nAnswer: -48*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**3 - 2*l**2 + 3*l + 2. Let z(k) = -k**3 + k**2. Let c be (7 - 0)*10\/7. Let p = -12 + c. Let b(u) = p*d(u) - 4*z(u). Factor b(h).\nAnswer: 2*(h - 2)*(h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-14)\/(-6) - (-2)\/(-6). Suppose 0 = -y + 4*y. Suppose r - 2*r - 1 = 0. Sort r, y, o in ascending order.\nAnswer: r, y, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.8 - -1.5. Let i = m + -0.5. Let a = i + -0.4. What is the nearest to 2\/5 in 4, 0, a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.132 + 1.132. Let z be 0*((-1)\/(-2) - 0). What is the nearest to h in 0.5, -0.08, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -183176*f - 104850 with respect to f.\nAnswer: -183176","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (111\/(-15) - -7)\/((-17)\/(-595)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 2*f = -0*l - 24, l + 4*f + 22 = 0. Let t = 43 + l. Let n = -29 + t. Solve 0 = -3*d + 4*d - 2*s - n, -2*d = 4*s + 16 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 l when two letters picked without replacement from {s: 2, a: 3, w: 7, l: 3}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1264 * -73.517.\nAnswer: 92925.488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 3)*(-3*s + 3*s - s) - 3 - 4*s + 3 + (2 - 2 + s)*(0 + 0 + 1 + (-2 + 0 + 0)*(5 - 1 - 2)).\nAnswer: -5*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(78)\/sqrt(3))\/sqrt(2) - (sqrt(13) + sqrt(13)*-2 + -5 - sqrt(13) - sqrt(13))**2.\nAnswer: -142 - 29*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -20, -3*m - 4644 = -2*i - i. Suppose -1983 = -7*x + i. Suppose -5*l + x = -5*p, 109 = -l + 2*l + 3*p. Does 20 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 - (-2 + -11 + (166 - 155))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 218604, 874401, 1967396, 3497589, 5464980?\nAnswer: 7869569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, 0, 16245.79?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 8*d**2 + 6638*d + 148488. Determine q(-23).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 0, -5660, -5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*m**5 - 9*m**4 - 154*m**3 + 2646*m**2 - 4*m - 4?\nAnswer: -120*m**2 - 216*m - 924","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 11 = 4*b, 4*b + b = 3*d - 19. Calculate the lowest common multiple of 36 - (b + 2 - -3) and 6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70\/(-57) + 10\/20*(-212)\/1007?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2254, 1, 7, -1067, 0 in increasing order.\nAnswer: -2254, -1067, 0, 1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -58*a - 2 + 85*a - 11*a + 321*a as l + c*a and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -901 or 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9385?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2640 divided by -80\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3434 is divided by 231?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 10*l**2. Let d(o) = 1. Let t(g) = 4*g - 2. Suppose -2 = 3*f + 5*j - j, 0 = -5*f + 2*j - 12. Let q(u) = f*d(u) - t(u). Determine m(q(h)).\nAnswer: 160*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.2 (b) 3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*b**4 - 1 + 50*b**3 + 2*b**2 - 27*b**3 - 25*b**3 as o*b**3 + g + w*b + q*b**4 + a*b**2 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 18212172 divided by -5892\nAnswer: -3091","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 4 = 0, -2*b - 48 = -0*r - 4*r. Let o = b + 25. Calculate the least common multiple of 9 and o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + d - 683 + 28 = 0, d - 2623 = -4*p. Suppose -3*q + 231 = 2*k, 5*q - p + 271 = -4*k. Calculate the remainder when q is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*q**3 - 2382*q**2 - 15511*q wrt q.\nAnswer: -24*q - 4764","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-135 - -305) + -84 - 63?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from {i: 4, j: 3, t: 1, o: 2, f: 4, s: 3}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1107012468.\nAnswer: 2, 3, 43, 173, 12401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 114 - 81. Suppose 4*g + 5*h - 64 = 4, 4*h = 5*g - 44. What is the remainder when v is divided by g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -24638 at most -24638?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {l: 5, t: 8}?\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the third derivative of a**5\/60 - 5*a**4\/12 - 7*a**3\/6 - 10957*a**2. Calculate v(11).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 12 = 8. Let g be (30\/(-4))\/p*66. What is the greatest common factor of 33 and g?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -93880, -93880, -93884, -93892?\n\"Answer: -2*a**2 + 6*a - 93884","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 9\/(-5)*(3 - -2). Let u be (-32)\/(-12)*w\/(-2). Which is greater: u or 11?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/3, 1\/11, -0.8?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -32 - -23210332310?\nAnswer: 23210332212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 8*u**2 + 44*u + 165. Give y(-7).\nAnswer: 249","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14511.8 + 14511.619998. Let y = -0.18 - v. Round y to five decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(-2))\/(a*(a*a**(-8)*a)\/a))\/(a**7*a\/a**(-2\/5))*(a*a*a**2*a)**44*(a\/(a**(-1)*a))**(-1) assuming a is positive.\nAnswer: a**(1078\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-194)\/(-22) + 2\/11. Suppose -4*x = 2*r - 14, x - w = -4. Let a be -150*20\/r*-116. Round a to the nearest 10000.\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -28731, -0.24, 2, 0 in increasing order.\nAnswer: -28731, -0.24, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*q - 93*j + 88*j - 19, 4*q + 12*j + 28 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0722544 rounded to three decimal places?\nAnswer: -0.072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-6)\/(-2))\/(6\/34). Suppose 4*x - l = 3*x. Is x a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 63 = -3*d, -2*k + 63 = 3*d - 0*k. Suppose -4*a + 2*v - 7*v + d = 0, 2*a + v = 15. Is 5 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d*d**(-2\/5)*d)**(-4\/5)\/(d*d*d**(-9\/4)*d*d*d**(-6)) assuming d is positive.\nAnswer: d**(217\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 303 divided by 484\nAnswer: 303\/484","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 429073 and 3324.\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -2*q - 20. Let n(i) = -6*i**2 - i + 5. Let w(o) = 9*o**2 + o - 10. Let a(r) = -5*n(r) - 3*w(r). Let g(x) = x**2 + 1. Determine q*g(l) + a(l).\nAnswer: -2*l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 k when three letters picked without replacement from njkjxkxnjnn?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 4*f**2 - 5*f. Let q(r) = 169*r**2 - 55*r**2 - 57*r**2 - 2*r - 55*r**2. Calculate 2*c(k) - 5*q(k).\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 92 a factor of 211616?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the first derivative of -g + 2. Let x(l) = 22*l - 4. Let w(r) = -5*h(r) + x(r). Is 9 a factor of w(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2466.\nAnswer: 2, 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the second derivative of q**3\/3 + 3*q**2\/2 + 5*q. Let n(x) = x + 10. Let s be n(-5). Let z(w) = -4*w - 5. Give s*y(g) + 3*z(g).\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 46361 and 78995?\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 70644129 to the power of 1\/3, to the nearest integer?\nAnswer: 413","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 40*f**3 - 3*f + 9. Let v(x) = -226*x**3 + 18*x - 53. Determine -34*j(q) - 6*v(q).\nAnswer: -4*q**3 - 6*q + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25*z + 6*z - 6*z)*(z**2 + 48*z + 6*z - 3*z**2)*(-2 + 2 - 2*z).\nAnswer: -100*z**4 + 2700*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 - (-13 + 5 + 18)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(63))*-1.\nAnswer: -3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 22*d + 136. Let r be w(-6). Solve -5*m - r = -29 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 702, 2832, 6406, 11430, 17910, 25852?\n\"Answer: z**3 + 716*z**2 - 25*z + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, -1, -15, 7?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 969408?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 4*m + 57 - 30 - 25 - 5*m. Let r be -8*3\/((-6)\/(-5)). Let n be (12\/(-10))\/((-6)\/r). Calculate x(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the first derivative of -17\/5*z**5 + 1\/3*z**3 + 0*z**4 - 11 + 0*z + 0*z**2. Find the third derivative of h(n) wrt n.\nAnswer: -408*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -467 (b) 2 (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1159.117226 rounded to the nearest 10?\nAnswer: 1160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 + 2*v**3 + 30*v**2 - 17*v**2 - 14*v**2 to r*v**3 + h*v + u + q*v**2 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6435.\nAnswer: 3, 5, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the third derivative of -z**5\/15 - z**4\/2 - 4*z**3\/3 + 17*z**2. What is f in b(f) = 0?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = s + 40. List the prime factors of s.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.07, 3, 1\/9, 1 in increasing order.\nAnswer: -0.07, 1\/9, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 208345426 is divided by 386.\nAnswer: 382","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 435106*t + 5 - 6 - 1377*t**2 - 435103*t.\nAnswer: -1377*t**2 + 3*t - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 998?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 6*j + 3 = -3*j, -4*k = j - 1. Which is bigger: 1\/225 or k?\nAnswer: 1\/225","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.129 - -4.\nAnswer: 6.129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-52 - 29 - -54) + -19\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 2*d + 5, -4*l + 5*d = -2*l - 26. Solve s - l*s = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1092.6897767 to the nearest one hundred.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 11) in base 14?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1 + (1 - -268) + -2 is divided by (204\/10)\/(17 + 164\/(-10))?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11 - (3 + (-5044)\/(-650)))*5\/(-2).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_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 p = -1592 + 2122. What is the greatest common factor of p and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -100 > -144?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000125974 rounded to seven dps?\nAnswer: 0.0000126","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 1 + 11 = 5*t, 19 = 2*t - 3*z. Solve 40 = t*f + 3*k, 2*k = 2*f - 0*k for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the second derivative of 4*j + 0*j**3 + 0*j**2 + 0 + 1\/5*j**5 - 1\/12*j**4. Find the third derivative of p(c) wrt c.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 273 and 3315.\nAnswer: 23205","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-32)\/(-1) - 2)\/(12 - 11). Let q = -33 + i. Sort 1, 4, q, 2 in decreasing order.\nAnswer: 4, 2, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwwww. Give prob of picking 2 w.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 1 = 4. Suppose -v = -3*y + 1. Find the common denominator of ((-3)\/60)\/(y\/186) and 61\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 78 - 2 = 5*r, 2*b = -5*r + 60. Suppose -10*g - 9 = l - 7*g, -5*l + b = -5*g. Solve 3*s - h - 3 = 0, -l*s + s + 15 = -5*h for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 6 + 200?\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 219917639 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in twenty-nine halves of a meter?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 52031 in -0.04, -45\/7, -0.2?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**4*d*d*d**13\/d)**(-1\/9))**(-12) assuming d is positive.\nAnswer: d**(44\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 5915*j**2 - 24*j - 73. Is b(-2) a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 476 - 133. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the second derivative of -t**4\/10 - 94*t**3\/5 - 819*t**2\/5 + 29*t - 7. Suppose z(f) = 0. Calculate f.\nAnswer: -91, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 101443244.\nAnswer: 2, 7, 61, 59393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9? (a) -14 (b) -1\/5 (c) -0.3 (d) 3 (e) 2 (f) 293\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2524240 - -2524238.600067. Let o = u - -1.4. What is o rounded to 5 decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 1)*(4*b**2 + b**2 - 3*b**2) - b**2 - 6*b**2 - 2*b**2.\nAnswer: -7*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-13 - (-21 + -9))*(1 + 12) is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((20\/60)\/(540\/(-39204)))\/((1\/5)\/(-1))?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 468583 + -128676. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 times -0.007\nAnswer: 0.021","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 282 and (0 - -8) + (-48 - -48).\nAnswer: 1128","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -2*k**2. Suppose -5*c = -0*c. Let f(a) = -a**2 - 5*a - 4. Let v be f(-4). Let j(y) = v - y + 4*y + c. Determine s(j(n)).\nAnswer: -18*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6991473 is divided by 633?\nAnswer: 621","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2518, 7378, 15486, 26848, 41470, 59358, 80518?\n\"Answer: s**3 + 1618*s**2 - s + 900","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 94 divide 164728?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + -12 + -32 + 15 + 11 + -1.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5767553 - 3?\nAnswer: 5767550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21*f - 23*f - 35*f)*(-3*f**3 + 2*f**3 + 6*f**3).\nAnswer: -395*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2 (b) -1\/554 (c) 3 (d) 5 (e) -18\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -56276 divided by 16.\nAnswer: -14069\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 63218761 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 208.1396 rounded to the nearest ten?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - 3*j - 2215 + 2223 = -4*o, -2*j + 24 = -7*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/1916 or 1?\nAnswer: 3\/1916","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 77*j - 82*j + 242 = 0, 4*z - 241 = 5*j. Solve 92*u - z*u - 184 = 0 for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -69\/544 - -85\/32. Find the common denominator of -17\/4 and y.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 109 + -105. What is the third derivative of -171*d**2 + 2*d**a + 31*d**6 - 2845 + 6*d**6 + 2845 wrt d?\nAnswer: 4440*d**3 + 48*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14861 is divided by 3682.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**2 + 372060*a - 17303580450.\nAnswer: -2*(a - 93015)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*j - 95681 = 71134. Does 2 divide j\/(-45) - 6\/45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1155 is divided by 68?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -3*y + 15. Let o = -6 + y. Let s be 738\/30 - (-4)\/10. Solve -2*h + 0*c + 7 = c, -o*h = 4*c - s for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(4\/5)\/u)\/((u\/u**2)\/u))\/(u**(2\/9)\/u*u**(2\/7)*u))**(-1\/5) assuming u is positive.\nAnswer: u**(-407\/1575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = -3281*t + 3282*t + 5*s, -2*t + 5*s - 7 = 0 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 2, -4 in decreasing order.\nAnswer: 2, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - p - 2 - 28*p + 8 - 7 + 0 + (0 + 0 - 1)*(4*p - 5*p - 5*p).\nAnswer: -23*p + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 5564960374 - -367\nAnswer: 5564960741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 25717861 and 1339?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 16466470 to the nearest 10000.\nAnswer: 16470000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -40 (base 5) to base 6.\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 61027 + -4?\nAnswer: 61023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:10 AM and 12:11 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3276 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2559\/(-4240))\/(-1) - (-9 + 528\/55). Is z not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -31*o**2 + o + 2. Determine w(-1).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1887 and 1887?\nAnswer: 1887","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 11 + 1)*((0*y + 0*y - y**2)*(-8*y**2 + 4*y**2 - 5*y**2) + 4*y**4 + 2 - 2).\nAnswer: -182*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 18010168019 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 6*v. Factor 0 + 21\/2*l**3 + v*l - 3*l**2 - 9*l**4.\nAnswer: -3*l**2*(2*l - 1)*(3*l - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 + 13. Let r be (12\/p)\/(3\/2). Is r >= 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -24.5294 to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -384660 divided by 25644?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -26320660 to the nearest 10000.\nAnswer: -26320000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 569506 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 74257 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 136b561 (base 13) in base 3?\nAnswer: 102112210120200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -268, -722, -1172, -1618, -2060?\n\"Answer: 2*y**2 - 460*y + 190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3545 - -3553. Suppose 0 = -2*i + 10 + 10. Is i at least as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.21 in 141, 44\/23, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7*(-14)\/(-245)*(-130)\/143?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 38 + 39. Let l = -61 + q. What is the remainder when 46 is divided by l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/42*((-13)\/3 - -5)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 121136 is divided by 120928?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 276 - 280. Calculate the common denominator of -1 - (17\/z)\/(-1) and 17\/9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 117*l + 936*l + 616 = 35*l - 2438 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c = 10*u + 18 + 15, 0 = -2*u - 6 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 128446\/((1 - 5)*1\/(-2))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -3*g**3 - 3*g**2 + 7*g + 5. Let t(m) = m**3 - m - 1. Determine r(n) + 5*t(n).\nAnswer: 2*n**3 - 3*n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 11872398?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 43 - 38. Let r(x) = -20*x**3 + 5*x**2 + 5*x. Let m(s) = -2*s + 10*s**3 + 1335 - 1335 - 4*s**2 + 2*s**2. Calculate a*m(n) + 2*r(n).\nAnswer: 10*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.3 - 0.2. Let a be 1*(5 - 8\/4). Let f = -0.2 - -0.4. What is the second smallest value in a, f, o?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:44 PM and 8:17 PM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 2*t + 37. Is x(17) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p - 6. Suppose -23 = i + 4*z, 8*i + 27 = 7*i - 5*z. What is b(i)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(7) + (sqrt(175)*1 - sqrt(7))).\nAnswer: 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -113*y - 275 - 290 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7802784 is divided by 19704?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -157508 or -157473?\nAnswer: -157508","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/((-21)\/18))\/(-2)*1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4 + (-30440)\/(-7604))*2\/(-6). Let m = q - -34240\/20911. Suppose 12\/11*z - m - 2\/11*z**2 = 0. Calculate z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 30, 79, 152, 255, 394?\nAnswer: 575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5025638, -10051272, -15076906, -20102540?\nAnswer: -25128174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**3 - 12*w**2 + 10*w + 9. Let l be k(11). Let n be 0 + (l - -38005) + -3. What is n rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 45 and 17087850?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17588\/4499 - 1\/4499. Find the common denominator of 49\/9 and g.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (55293\/(-2765) - -20)\/((-1)\/5)?\nAnswer: -1\/79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.750606 litres to millilitres.\nAnswer: 1750.606","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j + 4*p - 12638, 4*j = -5*p + 16307 + 8972. What are the prime factors of j?\nAnswer: 3, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101930379 is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (63 - 15 - 37) + (-38 - -3 - 3)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 26\/3 + 28\/(-6) + (21 - 6)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(((sqrt(637) - (sqrt(637) + -1)) + (sqrt(13) - 1*sqrt(39)\/sqrt(3) - sqrt(13)))*3 + -4*(1*sqrt(65))\/sqrt(5) + 1))**2*-6.\nAnswer: -35262 + 3024*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 723708 and 92?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 n when three letters picked without replacement from {n: 6, v: 2, e: 9}.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.0776*0.111\nAnswer: 0.0086136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -2*z**2 + 301*z - 2259. Give w(144).\nAnswer: -387","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -535*t**2 - 199*t - 2 wrt t.\nAnswer: -1070","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 10\/(-60) + 99338\/(-330). Let c = x + 1508\/5. Find the common denominator of 423\/42 + 1*-2 and c.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, z: 9}. What is prob of sequence zzze?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-56)\/((-5040)\/45)*(-87)\/(-6)*4.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the third derivative of -i**5\/60 + i**4\/24 + 5*i**3\/3 - 111*i**2. What is l(0)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25786000 rounded to the nearest one million?\nAnswer: -26000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4571641.\nAnswer: 23, 113, 1759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:56 AM and 3:52 PM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wy when two letters picked without replacement from ysxyxwaxya.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -373*b**3 - 1373*b**3 + 1743*b**3.\nAnswer: -3*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, n: 1, u: 5, e: 1, k: 4, d: 2}. Give prob of picking 2 r.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hth when three letters picked without replacement from {t: 5, h: 5}?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1162?\nAnswer: 2, 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 331796, 663597, 995398, 1327199, 1659000?\n\"Answer: 331801*b - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 811, 3054, 6789, 12016, 18735, 26946, 36649?\n\"Answer: 746*m**2 + 5*m + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(6)*1)\/(sqrt(2) + 2*sqrt(162)).\nAnswer: -2*sqrt(3)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 607*r - 609*r = -4844. Is r a multiple of 173?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 3 - 15)*(13*s**3 + 9*s**3 - 2*s**3).\nAnswer: -480*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**2 - q. Let i be v(2). Suppose 0 = 12*d - 16*d + 20. Solve i*t + 0*r - d*r = -2, 0 = 3*r - 6 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -237765\/26 and -9145 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, 10, -60, -1.\nAnswer: -60, -5, -2, -1, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -30.94907 to 2 dps.\nAnswer: -30.95","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03184744424 rounded to four dps?\nAnswer: 0.0318","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o + 2*o - 7*o)*(3 - 3 - 2*o).\nAnswer: 14*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12240 is divided by 155?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*m + 20 = 17*m. Suppose -28*f - 240 + 16 = 0. Sort m, 0.02, f in decreasing order.\nAnswer: m, 0.02, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1539720 divided by 16380.\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**2 - 3*b - 16. Let d be p(-3). Suppose d*m + 230000 = -0*m. What is m rounded to the nearest 10000?\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3876 + 4047. What is the highest common divisor of 1425 and w?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6 + -2*(-4)\/(-4). Suppose l = 3*l + 2*k, 3*l + z*k = -4. Suppose -l*v + 3 = -x, -3*x + 3 = -4*x. Solve -2*f = v, d - 3*f + 1 = 2*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 136 + -116. Let c(p) = -3*p**2 + 3*p - 11*p**2 - 6 - p**3 + h*p**2. Suppose 11*b - 12 = 9*b. Calculate c(b).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -14\/88895 and -68\/3?\nAnswer: 266685","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 23075760 to the nearest integer?\nAnswer: 285","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 559220494?\nAnswer: 2, 7, 39944321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 133\/2394*4*1\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 11 = -2*o, 14 = -0*r - 2*r + 3*o. Are r and -1 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o = 4 - 12 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2142434 + -4?\nAnswer: 2142430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -o**2\/3 - 66649129*o\/3 = 0. Calculate o.\nAnswer: -66649129, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(228)*-3)\/((sqrt(132)*2)\/sqrt(11)) - (sqrt(228)*1*-4)\/(-1*sqrt(24)\/sqrt(2)).\nAnswer: -7*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 139 + -127. Suppose -5*u - 5*j + 2*j + 13 = 0, 0 = -u + 2*j. Suppose -9*t = -8*t - u. Calculate the highest common divisor of z and t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 12) to base 15\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -15755 - 16255. Find the common denominator of 55\/18 and -2 + j\/1820 - (-8)\/(-14).\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(128\/(-80) - -2)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*d - 22*d - 38. Let k = 11 + -8. Suppose -t - 3*v - 10 = v, -k*v - 2 = -2*t. What is the third biggest value in d, -4, t?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -61555, -11, 4 in ascending order.\nAnswer: -61555, -11, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -5*s + 10 + 15, -3*d - 10 = -2*s. Let g(b) = -b**2 + 2*b + 352. What is the tens digit of g(d)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 690 = -2*r. Calculate the remainder when r is divided by 130\/(-52)*((-315)\/300)\/((-6)\/(-32)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1536*u + 349128 = 288*u - 2154*u + 45*u for u.\nAnswer: -104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2232125 + -535?\nAnswer: -2233104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/16*(-78)\/(-9). Let l = 15\/4 - a. What is c in 0 + c**2 + l*c**5 - c**4 - 1\/2*c + 0*c**3 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -34400005 + -22?\nAnswer: -34400031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 10 - (55 + -29 + 0 + -1)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 4*t + 14251 = c, 4*t - 57004 = -4*c. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -64*v**4\/11 + 86*v**3\/11 + 234*v**2\/11 - 344*v\/11 + 8 = 0.\nAnswer: -2, 11\/32, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -247, 8, -0.5, -5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 230 = -5*u - 474, 4*u + 24 = 0. Solve 0 = -346*s + i*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**2 + 2*h + 3. Let n(p) = 2*p**3 - 2*p**2 + 2*p - 1. Let z be n(1). Suppose y + z = -2. Calculate v(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -23984893\/29083670 - -2\/188855. Calculate the common denominator of 318\/(-176) + 2\/11 and l.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 66621109?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 + -197fb6?\nAnswer: -197fba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 2*r = -4*l + 11, 3*l + 8 = -r. Let i = 67 - 58. Calculate the remainder when i is divided by -1 + l + 1 - -7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -208249\/20 + 10415. Calculate the common denominator of 154\/(-16) - (-1)\/1 and b.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -9*(-2)\/((-6)\/(-1)). Suppose h*u - 13 = -4. Suppose -76 = -5*v + 4*n, -u*v + n + 28 = 3*n. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the first derivative of -2*p**3\/9 - 64*p**2\/3 - 42*p - 499. Find r such that w(r) = 0.\nAnswer: -63, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3684 - -8558. What is the thousands digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 427163735?\nAnswer: 5, 85432747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3671447075?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -421340*h + 1685354. What is q(4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -22\/9 (b) -0.3 (c) 4\/3 (d) 8 (e) 1.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h + 241 = 2*j, 229122*h + 1096 = 229099*h + 5*j for h.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 27740*h**4 + 18046.\nAnswer: 110960*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*w**3\/7 - 382*w**2\/7 - 384*w\/7 = 0. What is w?\nAnswer: -1, 0, 192","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 234 (base 5) to base 14.\nAnswer: 4d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 5 = -4*s, 2 + 3 = 5*s + 5*b. Suppose 2*w + v - 3 = s*v, -w = 5*v - 18. What is the remainder when ((-11)\/w - -3) + (-1480)\/(-24) is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + -641269165.187.\nAnswer: -641269171.187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 + 47. Let a = -44 + n. Sort a, 4, 1 in decreasing order.\nAnswer: a, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - 6 - ((-9 - -4) + 2)) + (-90 - -89)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 64 and 33688.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 2*j**3 + 39*j**2 - 21*j - 19. Give g(-20).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -45\/11 and -29\/117.\nAnswer: 1287","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -1. Suppose 0 = -5*y - 0 + 15. Let l be (20\/6)\/(y\/(-9)). Let a(m) = -m - 11. Let n(u) = -1. Let w(c) = l*n(c) + 2*a(c). Calculate w(g) - 12*x(g).\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15043532?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 2*k**3 - 5*k**2 - 8*k + 4. Is b(5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -19*j**2. Let u(z) = 2*z**2. Calculate u(a(b)).\nAnswer: 722*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1558, 1550, 1542, 1534, 1526?\nAnswer: 1518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**3 - 6*k**2 + 4*k - 9. Let n be d(-7). What is the greatest common divisor of 12 and n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**3 - 145*l - 10. Let v be c(-12). Sort v, -236, 3 in increasing order.\nAnswer: -236, v, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -5*d**2 + 3245*d + 701100 = 0.\nAnswer: -171, 820","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the second derivative of -5*m**6\/39 - 6*m**5\/13 - 23*m**4\/39 - 4*m**3\/13 - m**2\/13 + 3*m. Factor k(r).\nAnswer: -2*(r + 1)**2*(5*r + 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**3\/2 + 4399*j**2\/2 + 8804*j + 8806.\nAnswer: -(j - 4403)*(j + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 8056199?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3494, -7079, -10664?\nAnswer: -14249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1, -19\/3813, 2\/5, -0.09, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 3*h + 1. Let o be y(1). Is o*2 - 12\/(-12) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**2 + 3*a - 2. Let i be f(-4). Let p(c) = c**2 + 5*c - 10. Let o be p(-7). Solve 14 = o*h + i for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12 - -20. Let r = -12 - p. What is the lowest common multiple of (r\/16)\/(1\/(-16)) and 6?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5051 - -4200243?\nAnswer: 4205334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and -120.198?\nAnswer: -60.099","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11643 - 2479964\/213. Is v less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2\/83 + 107\/996. What is the common denominator of 45\/44 and i?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, -5.474, 2\/7, -138.53?\nAnswer: -138.53","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 (base 11) in base 5?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (57\/209)\/((-9)\/(-6)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tesmitttzzziziizzme. What is prob of picking 1 s and 1 z?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -770, -1539, -2308, -3077, -3846, -4615?\nAnswer: -5384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 99099833.\nAnswer: 7, 1663, 8513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the third derivative of 0*l**3 + 0*l**4 - 41\/30*l**5 + 0*l + 0*l**7 - 12 - 97\/336*l**8 + 0*l**6 + l**2. What is the third derivative of x(y) wrt y?\nAnswer: -5820*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 588971?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = 4*c - 4*y, -y - 169 = 3*c - 151 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((6*(sqrt(704) + sqrt(704) + 0 + sqrt(704) + 4))**2 + 4*(sqrt(704) - (0 + sqrt(704))) + 1) + -1.\nAnswer: 6912*sqrt(11) + 228672","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**2 + 2*i + 2. Let s(h) = h**3 + 2*h**2 + 2. Let y be s(-2). Suppose 3*b = -y*b - 75. Calculate the common denominator of v(-5) and b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89445*m - 14011 = -89925*m - 39931 for m.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -121*m + 112*m = -45. Solve -2*b - 4*j - 3 + m = 0, 5*j + 8 = b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3369 - 3391 = 11*n. Which is the third biggest value? (a) -3 (b) 9\/7 (c) n (d) 1\/7 (e) 24\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58 - 57 + 115 = 45*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7492 or -82422\/11?\nAnswer: -7492","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 12) to base 2\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2995 + 1554 + 1143)*(1 + 2 - 5)*(1 - 2*g - 1) + (-2 + 4 + 0)*(g + 0 + 0) - 4 + 4 - g to the form j + k*g and give k.\nAnswer: -1191","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (166\/14)\/(81\/(13608\/2832) + 17\/(-1)).\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 618*z**5 + 191*z**5 - 72*z**5 + 304*z**5 - 76*z**2 + 842*z**2 wrt z.\nAnswer: 62460*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -1 - 4)*(1 + 1) + -6.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2273 = 26*i + 141. What is the highest common factor of 2501 and i?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 40\/2513 and 17\/1077.\nAnswer: 7539","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2*3)\/((-27)\/(-36)). Let w be (0 - 4\/q)*-8. Suppose w*h - 188 = 880. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 7*b. Suppose b = k - 2*c - 709, 141 = -3*k - 3*c + 2313. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and 3587.\nAnswer: -10761","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -130 + 152. Let r = 8 + 0. Calculate the lowest common multiple of r and w.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7861*b**3 + 7878*b**3 - 15478*b**3.\nAnswer: 261*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 276565 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 48051 a multiple of 171?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 209342?\nAnswer: 2, 7, 19, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -3365, -6696, -10027?\n\"Answer: -3331*r - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, -126 in ascending order.\nAnswer: -126, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 549.12 to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*3*(0 + sqrt(17)).\nAnswer: -6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in fourty-five halves of a day?\nAnswer: 32400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6976 is divided by 428.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13869 - 13869 - 25796*y**2 + 25778*y**2.\nAnswer: -18*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**3 - 13*u**2 + 11*u - 10. Calculate z(12).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -304*x**3 - 3*x**2 + 39 wrt x?\nAnswer: -1824","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a. Let w(o) be the third derivative of -19*o**4\/24 - 8*o**2. Calculate w(f(b)).\nAnswer: 19*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 95 + 11226*c - 63 + 53. Is t(2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -987*f + 988*f - 5 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18 - 15.5. Let u = 3 - p. Let v = 0.2 - 0.1. What is the third biggest value in 2, u, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (12\/14)\/(((-96)\/56)\/(-6)). Solve 4*k - 1 = s*c, -7 = 2*k - c + 2*c for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 divided by -23?\nAnswer: -36\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -442? (a) -1\/7 (b) 3 (c) 8 (d) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1*7\/((-21)\/(-45)). Let u = k + 25. Let v = -10 + u. Put v, -5, -2 in ascending order.\nAnswer: -5, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26287831495 plus 221?\nAnswer: -26287831274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -276, -553, -828, -1101, -1372?\n\"Answer: s**2 - 280*s + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 2839442 = i + 2839445, 0 = -2*q + 5*i + 15 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1200 and (3\/18*-3 - -97) + 30\/(-60).\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -19*o + 53*o - 170 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -1064*d - 19150. Let y be j(-18). Let t(h) = h + 3. Suppose -n - 3*v - 3 = v, v = 0. Let x be t(n). Solve x = y*u - 2 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*k + 0 + 0)*(-5*k - 4 + 4) + (-2*k + k**2 + 2*k)*(-421 + 1052 - 434) to the form j*k**2 + v + u*k and give j.\nAnswer: 207","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**3 + 33*p**2 + 69*p + 31. What is q(35)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 405357?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - 4*t - 1564 + 1576 = 0, -4*b - 5*t + 15 = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = m + 5*m - 109 for m.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 + 159 = 17*j. Solve -5*z + 5*h - j*h - 25 = 0, 4*h = -z - 5 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 10 + 10 - 30\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -6*s - 3*s**2 - 201 - 11*s**2 + 16*s**3 + 27*s + 215 + s. Let v be r(7). Round v to the nearest 100.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(1872))*5)**2 + -4.\nAnswer: 46796","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(704) + 1 + 0)**2 + (sqrt(704)*-2 + -1)*5.\nAnswer: -64*sqrt(11) + 700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.02 + 0.48. Let i = -0.5 - j. Let r = -0.1 + -0.1. Sort i, 2, r in descending order.\nAnswer: 2, r, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2\/85 + -99\/595. Which is the second smallest value? (a) 1 (b) s (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16.5 - 7. Let u = l + -9. Which is the nearest to -1? (a) -1 (b) -0.1 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7416 + -22250\/3. What is the smallest value in n, -82, 0.1?\nAnswer: -82","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y - 29*a + 26*a = 5, 0 = -4*y + 2*a + 18 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*2*sqrt(297) - sqrt(297))\/(sqrt(72)\/(sqrt(8) + sqrt(40)\/sqrt(5))))\/(sqrt(15)\/(sqrt(20)\/sqrt(4)) + sqrt(15)\/sqrt(605)).\nAnswer: 11*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 965, -19, 0, 4 in increasing order.\nAnswer: -19, 0, 4, 965","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 37\/(-5) + 462\/330?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 404068 rounded to the nearest 10000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 434 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiiiiiiaai. Give prob of sequence iii.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 129998.\nAnswer: 2, 11, 19, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 64 + (-17 + 24 - 22) - -6.\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8036?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fourty-three quarters of a century?\nAnswer: 12900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 48 + -53. Let k be (-6)\/15 - (1311\/(-15) - a). Suppose 0 = 2*f - 3*f - k. Is f >= -82?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6188 and 1680.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 150 - -47. Suppose -x + 0*x + 2*q = -j, -4*x - 5*q = -749. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 7, 4, 0.4, -5, 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/11 (b) 0.5 (c) 174 (d) 3 (e) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.9 * -9.\nAnswer: 8.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 59550.315 rounded to the nearest one hundred?\nAnswer: 59600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + 0. Let u be -12*(-1 - -2) - -28. Solve 0 = -3*a - t + u for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the third derivative of p**4\/8 + 13*p**3\/2 - 6*p**2 + 2. Let t(v) = -2*v**2. Give w(t(i)).\nAnswer: -6*i**2 + 39","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -34*f + 5. Let d(n) = 82*n - 12. Let i(s) = 5*d(s) + 12*y(s). Let a(v) = -v. Give -8*a(z) - 3*i(z).\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -26 - -38. Is g a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12372*k**3*l**2*o**2 - 1697*k**3*o**2 - 1782*k**2*l**2*o**2 - 307*k**2*l**2*o - 57*l*o**2 wrt k.\nAnswer: 74232*l**2*o**2 - 10182*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5577 + 8706. Calculate the remainder when i is divided by 108.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/60)\/((-2)\/10)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 892 divided by -667\nAnswer: -892\/667","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (13\/(-2) + 0)*(9 - 11). Let v(i) = 8*i**2 + 5*i**2 + i + 0*i**3 - i**3. List the prime factors of v(y).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:38 PM and 3:21 AM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3256858 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(1944)*2)\/((sqrt(8)\/sqrt(4)*3 - sqrt(2) - sqrt(2) - (sqrt(8)\/(-2*sqrt(4)) - sqrt(2)))*6))**2.\nAnswer: 1728\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 16783 = -16807 for n.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 7*l - 70. Let i(f) = f - 2. Give 105*i(c) - 3*x(c).\nAnswer: 84*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-48)\/18 - 2\/(-3). Let x = t + 71. Is 16 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 - ((-16)\/(-6) + -3))*3. Let o be k*14\/(-4) + -25 + 22. What is the greatest common divisor of o and 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10 and 52434830?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tgo when three letters picked without replacement from {t: 4, o: 3, g: 4, k: 6}.\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -a298 (base 11) in base 7?\nAnswer: -54552","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 12*y**3 + 11*y**2 - 17*y - 1. Is f(2) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -62 - -62.139. Let s = o + -0.159. Round s to two decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -31 + 15 - -9 - (-4 - 1)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8910 + 1 - (-4 - -8).\nAnswer: 3, 2969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 5, q: 2}. Give prob of picking 1 q and 1 m.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*b + 4*b + 88. Let v(o) = -o**2 - 2*o + 21. Let a be v(-6). Let n = a - b. What are the prime factors of n?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 85558547*j - 240808616?\nAnswer: 85558547","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 7616784020 to the nearest one million.\nAnswer: 7617000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 23424 and 4128?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(425) + sqrt(425) + -4 + -2 - sqrt(425) - sqrt(425) - sqrt(425) - (sqrt(425)*4*-1 + sqrt(425))**2)*-5.\nAnswer: 25*sqrt(17) + 19155","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -474 - -479. Suppose -3*f = -7*f - 96. Let n = f + 29. Solve p*r + n = -3*v, v = -2*r - r - 7 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25825 - 5910 = -105*g - 1160*g + 8745 for g.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the third derivative of -1\/3*z**4 + 1\/10*z**5 + 0*z + 0*z**3 + 0 + 8*z**2. What is the second derivative of y(k) wrt k?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9971550?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eetxffxxttefx. Give prob of sequence exf.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:49 PM and 2:40 PM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h and 1 i when four letters picked without replacement from {i: 2, h: 10}?\nAnswer: 16\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5413 is divided by 258.\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 0.4, -5, 23114, -5\/4, 3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -417497 divided by -131\nAnswer: 3187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4116 divided by -2058.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 17 = 4*t + 2*b, 0 = 2*b - 8. Suppose -4*n = -3*q + 1183, -t*q + 3*n + 1100 = -79. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -106, -7, 5, -0.08, 0.8?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 66 + -30. Let n = -18 - -91. Suppose -2*p - q + 0*q = -53, 0 = -2*p - 5*q + n. Calculate the greatest common divisor of p and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14 - 7. Suppose m + 0 - p = 0. Suppose -z - 3*z + 2*o + 28 = 0, 3*o = 0. Calculate the greatest common factor of z and m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -35, -139, -311, -551, -859, -1235?\n\"Answer: -34*j**2 - 2*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 204364.2 milligrams to tonnes.\nAnswer: 0.0002043642","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2552)\/(-143) - (-4)\/26. Which is greater: 19 or t?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.06? (a) 477 (b) -6\/11 (c) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8184722136*z**2 + 2806984*z - 722\/3.\nAnswer: -2*(110802*z - 19)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1404 and 34632?\nAnswer: 103896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 688*a - 689*a - 3 = 0, -2*d - 4*a = -42. Solve 2*o = 5*x + 17, -o + 10*x = 11*x + d for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -34\/13 (b) 12 (c) -7591\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, k: 2, d: 2, w: 2, a: 1, z: 4}. Give prob of picking 1 k and 1 p.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 5) to base 14.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0\/2)\/(-4 - -5). Let o = 5.09 - 0.09. Which is the nearest to m? (a) o (b) 1\/8 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*k - 8*k + 6. Let t(d) = -5*d. Let j(i) = -14*i. What is k*j(m) - 17*t(m)?\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1102 a factor of 233391478?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(-3)*5 + 110\/33. Suppose -h - 4*o = 1, n*h - h - 13 = o. Calculate the lowest common multiple of 6 and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -9*b + 45. Let h be l(-10). Suppose 0 = h*v - 136*v + 20. Solve 0*p - v = 5*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 54040674 to the nearest integer?\nAnswer: 378","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 + -95)\/(-6)*(-7)\/4. Is -21 smaller than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 7 + (3 - 4) - 2. Let n(m) = -3*m**3 - 2*m - 5. Let s(b) be the third derivative of -b**6\/120 - b**3\/6 + b**2. Calculate u*s(r) - n(r).\nAnswer: -r**3 + 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -2*m - 2. Let d(p) = 380*p**2 - 380*p - 380. Give -d(t) + 190*x(t).\nAnswer: -380*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 11324, 11328, 11336, 11348, 11364, 11384?\n\"Answer: 2*a**2 - 2*a + 11324","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (18\/21)\/((-1)\/(-7)). Let t be (-8)\/20 - (-2447)\/5. Is ((-4)\/v)\/((-2)\/t) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1087?\nAnswer: 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -777719\/66 + 11783. Find the common denominator of h and 95\/6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25932, 25972, 26012?\nAnswer: 26052","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1934\/(-2344) - 9*23\/(-276). Do f and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**3 - 5*d**2 - 5*d - 4. Let f be m(6). Suppose 0 = 13*b - 3*b + 2*b. Determine k, given that -5\/6*k**4 + b + 1\/2*k**3 + 0*k + 1\/3*k**f = 0.\nAnswer: -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -4*s + 99 - 0, 5*s = -4*j + 132. Solve -3*t = -h - 8, -4*t = -3*h - h - s for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes before 6:32 AM?\nAnswer: 6:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**2 - 24*i + 79. Let o be r(16). Let u be -3 + (-77)\/o + 2. What is k in -8\/7*k**3 + 0 - 10\/7*k**2 - 2\/7*k**4 - u*k = 0?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes after 10:04 AM?\nAnswer: 5:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/1)\/(13*(-2)\/(-182)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 138*m - 60*m - 64*m + (4 - 3 + 0)*(-1 + 1 - 3*m) as o + a*m and give a.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1417 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 57 + 4033\/(-74) + 18\/(-8)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1*(-1)\/10)\/(-2))\/((-76)\/(-228))\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 128, 504, 1130, 2006, 3132, 4508?\n\"Answer: 125*j**2 + j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**3 + 41*y**2 - 91*y - 202. Let a be z(-43). Solve 0 = -2*v - p - 5, -6*v - p = -2*v + a for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 - -4. Let t be (-400054)\/(-10) + h\/(-10). Suppose -4*r - f = -2*f - t, -f = 3*r - 29995. Round r to the nearest one thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 86397, 86350, 86303, 86256?\nAnswer: 86209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 258 = 2*b + 251, -2*b + 12*j + 22 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 3275, 6534, 9775, 12998, 16203, 19390, 22559?\n\"Answer: -9*d**2 + 3286*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 29.92 - 29. Let v = -0.04 - x. Round v to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**2 - 5*k + 6. Suppose 5 = 5*v - 15. What is t(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes after 11:12 AM?\nAnswer: 11:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -9*l**2 + 9*l - 7. Let s(n) = 8*n**2 - 2*n + 82. Let c be s(0). Let b = 84 - c. Let y(v) = 4*v**2 - 4*v + 3. Give b*x(i) + 5*y(i).\nAnswer: 2*i**2 - 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -62882*d**2. Let k(o) = -281*o**2. Calculate k(n(y)).\nAnswer: -1111115004644*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1496 + -4 + (-9 - -18). Calculate the highest common factor of 316 and y.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -10464.74 from 59.\nAnswer: 10523.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15320258?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -16*w + 8. Let t be q(-7). Suppose 0*l - 96 = -2*l. What is the greatest common factor of t and l?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41.93795 nanometers in millimeters?\nAnswer: 0.00004193795","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 673 - 43 = 5*p - 5*x, -8 = 2*x. Let z be 3\/126*p - 3. Let k = -199 + 200. Which is the closest to k? (a) 2\/5 (b) -2\/9 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 2 = 4*t, 5*u - 6*t = -2*t - 17 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 18*j + 268. Suppose 2*m - t + 26 = 0, 3*t + 10 = -2*m + 8*t. Let o be f(m). Let b(u) = 2*u**2 + 6*u + 1. Give b(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8\/155*11*205\/1804\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 + 1)*(3*g - 3*g - 5*g**2)*(83 + 15*g**2 - 83) + (-2*g**2 - 2*g + 2*g)*(g**2 + 2*g**2 - g**2) + 4*g**4 - 5*g**4 + 3*g**4.\nAnswer: -302*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the third derivative of n**5\/12 - 5*n**4\/6 + 25*n**3\/3 + 140*n**2. What are the prime factors of u(10)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 4, i: 5, q: 1, l: 1}. What is prob of sequence ip?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 15.21831391 to one dp.\nAnswer: 15.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-b**2 + 8*b**2 - b**2)*(683*b**2 - 6664 + 6664) to the form l*b**2 + o*b + c*b**4 + p + q*b**3 and give c.\nAnswer: 4098","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w - 3*w = 0. Let r(p) = -2*p - 6*p + 4 + w*p + 3*p. Let m be r(-4). Solve 11 = 5*s + 5*y - m, 0 = s + 5*y - 19 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2143 + 476?\nAnswer: -1556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*i*k**3*s**2 + i*k**3*s*v - 2*i*k**3*v + 3*i*k*s**2 - 2*i*k - 4*k**2*s + k*s - 2*s**2*v wrt k.\nAnswer: 30*i*s**2 + 6*i*s*v - 12*i*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1001344141 - 1?\nAnswer: -1001344142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.5137 to 1 dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 32408357.62 + 0.14\nAnswer: 32408357.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 3*l**3 - l**2. Let b be f(1). Suppose -82 = b*v + 184. What is v rounded to the nearest 10?\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4246 = 14*s + 522. Let p = -262 + s. Solve -8 = 2*r, -3*q - p*r - 17 = -2*r for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8*(-8)\/(-32))\/((-4)\/(-10))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1133 is divided by 31.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f**(-2\/37)\/f))\/f**(1\/5) assuming f is positive.\nAnswer: f**(343\/185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11080, -22055, -32928, -43699, -54368?\nAnswer: -64935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 416, 430, 440, 446?\nAnswer: 448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2\/1*((-25)\/(-10))\/(-1)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 1 e when three letters picked without replacement from {s: 5, e: 3}.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.03 - 0.13. Put c, -2\/9, -3 in descending order.\nAnswer: c, -2\/9, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -101110010111100001011 (base 2) in base 8?\nAnswer: -5627413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61 = -19*j + 20*j. Suppose 0 = 57*a - j*a + 12. Solve 2*p - p - a = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*g**3*r**2 + 6*g**2*r**2 + 221*g**2*r - 41*g - 7*r**2 + 5*r - 1 wrt g?\nAnswer: 42*g*r**2 + 12*r**2 + 442*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = 10*y - y. Let d(q) = -q**2 + 7*q - 4. Let x be d(y). Suppose 12*s = x + 42. Put s, 26, -4 in ascending order.\nAnswer: -4, s, 26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + d + 20 = 0, 39723*h - 39766*h + 240 = -5*d for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.047 + -0.012. Let p = o - -0.465. What is the nearest to -0.3 in -3, p, 2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(((-20)\/6)\/(-10)*15).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 11, 1, 4, 3, -9, 60 in decreasing order.\nAnswer: 60, 11, 5, 4, 3, 1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.805 + -1.905. Let i = 2 - 3. Let r = 1.1 + i. What is the closest to r in 1\/6, v, 1?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1658 - -2 - (-66 + 57)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/(-147))\/(3\/21)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -55253 + -2?\nAnswer: -55255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 4*o. Let g(x) = x. Suppose 5 - 1 = 4*q. What is q*s(l) - 2*g(l)?\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 265 = m, 0*l - 99 = 2*l - m. Let b = l - -56. Suppose b*i - n = 60, 0 = -i - 2*i + 2*n + 50. What is the highest common divisor of 238 and i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/959 and -49\/41785.\nAnswer: 292495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 5*b - 10, -2 + 4 = b - 4*s. What is the greatest common divisor of b and 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 2*v**3\/3 + 2*v**2 - 56*v\/3 = 0.\nAnswer: -7, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 169 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9076 - -9079. Solve 3*o = -n*f + 3, -3*o - 13 = 2*o - f for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 250 = 562. What are the prime factors of r?\nAnswer: 2, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -304074507 by -101358169.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -39 + 41. Find the second derivative of 0*u - 5*u**2 + 26*u**2 - 7*u + x*u wrt u.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 42801\/(-44) - (1 + (-9)\/12). What is f rounded to the nearest 100?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -151*a**2*o**3*w - 4*a**2*w + 2149807*a**2 - 4*a + 39695*o**3 wrt o.\nAnswer: -453*a**2*o**2*w + 119085*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2 + 2)\/(-4 + 6))\/(-1). Suppose -z - 4*z = 0. Let m(y) = 0 + y**2 + y + z*y**2 + 2. Calculate m(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1402897\/9 != -155878?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 2*m - 15. Let r be p(7). Let w be 2 + 0 + -1 + (-3)\/r. Differentiate 23*i**w + 115*i + 0 - 5 - 115*i with respect to i.\nAnswer: 92*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**3\/3 + 4147412*z**2\/3 + 358354023300*z - 358355405772.\nAnswer: 4*(z - 1)*(z + 518427)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14 - -37. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 - 2\/(-84)*118. Let m = -15\/7 + r. What is the nearest to 0 in 0.5, m, -4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -2*n + 12, 14 = -u + 3*u + 5*n. Put u, 1, -5 in descending order.\nAnswer: u, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 5*l - 2025 = 0, -2*i = -5*l + 8*l - 835. Let t be i\/12 + (-16)\/96. Solve 10*j = t + 16 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-14))**(-3)*(n**(-17))**(-37))**(-5) assuming n is positive.\nAnswer: n**(-3355)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 + (0\/(-1) - -11). Solve -h*l = -17*l + 32 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5, 291, 567, 827, 1065, 1275?\nAnswer: 1451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 472, 3110, 10092, 23590, 45776, 78822, 124900, 186182?\n\"Answer: 362*m**3 + 104*m + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 10 = 3*x, -x - 5 = 4*i + 1. Let k be -1 - 0*(i + 0). Suppose s = z - 8, -5*s + 20 = 25*z - 18*z. Sort 2, z, k in ascending order.\nAnswer: k, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*a**4 - a**3 + 2*a**3 - 915*a + 803*a + (-2*a**2 + 4*a**2 - 3*a**2)*(-12*a**2 + 19*a**2 + a + 0*a) to r*a**4 + d + f*a + k*a**3 + j*a**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = w, 171889*w = 2*h + 171893*w + 6 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -262 = 5*y + 393. Let l(u) = -7*u - 10. Let o be l(8). Let c = o - y. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((5 - 3 - 1)*(1 - 4 + 1) + 2 - 1 - 3 + 2 - 1 - 2)*(2*q - 4*q + 24*q) in the form m*q + n and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6988607?\nAnswer: 6988607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.3 + 3.227. Let h = 2.827 - m. Let k = 1.9 - h. Which is the closest to -1\/2? (a) -0.5 (b) 2 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.541 times -1.1?\nAnswer: 0.5951","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.024 - 0.524. What is the second smallest value in 0.5, x, -5, 2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the first derivative of -110*r - 1\/2*r**4 + 35\/2*r**2 + 33 + 0*r**3. What is the first derivative of s(b) wrt b?\nAnswer: -6*b**2 + 35","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen fifths of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16 + -9. What are the prime factors of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cv when two letters picked without replacement from zccvv?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -271, -475, -677, -877, -1075, -1271, -1465?\n\"Answer: n**2 - 207*n - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 42911?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 44\/3 - (-5)\/(-15)*-4. List the prime factors of 280\/r*14\/5.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mppp when four letters picked without replacement from {m: 5, p: 8}.\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, -0.2, 1.6955, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 6*((-2*6*(0 + sqrt(931)))**2 + 3) + 0.\nAnswer: 804398","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1091*b**2*d - b*d**2 + 228*d**2 - 3345 wrt b?\nAnswer: 2182*b*d - d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 655 and 2489.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*v + 20 - 53*v - 7 - 14.\nAnswer: -87*v - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * -9414\nAnswer: -2824.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -23 and -597048202?\nAnswer: 597048179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i + i + 3*i + (1 + 4 - 6)*(1 - 1 - 2*i))*(3 + 2*i**2 - 3) + (i**2 + i - i)*(-2*i + 0 + 0) + 37 - 37 + 28*i**3.\nAnswer: 32*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-10) + (-2779)\/(-5). Let i = f + 116. Let q = i - 1972\/3. Calculate the common denominator of q and -61\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -252*s**2 - 46*s**2 - 63*s**2 + (3*s**2 - 4*s**2 - s**2)*(5 - 1 - 3).\nAnswer: -363*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1362*a**3*i**3 - 9*a**2 + 105*i**3 wrt a.\nAnswer: 8172*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 234360 is divided by 7542?\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 310 (base 7) to base 6.\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4807732075 to the power of 1\/3, to the nearest integer?\nAnswer: 1688","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*p**3 + p**3 - 35*p**3 + (16*p - 13 + 0*p - 12*p)*(p**2 + 5*p**2 - 4*p**2) as m*p**2 + n*p**3 + u + y*p and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 50, 13, 289, 2 in ascending order.\nAnswer: 2, 13, 50, 289","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 88296?\nAnswer: 2, 3, 13, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53777.\nAnswer: 53777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**3 + 8*m**2 - 2*m + 9. Let l be g(-8). Suppose -u + 4*j + 15 = 0, u - 60 = -j - l. Is u a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -59*v + 56*v - 4*d + 70693, -4*d = 4*v - 94248. What is the ten thousands digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1185770211 divided by -3.\nAnswer: 395256737","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 3*m - 3. Let a(c) = -3*c - 1. Let z be a(-1). Let q(l) = 11*l - 13. Let b(g) = z*q(g) - 9*n(g). Suppose 0*i + 3 = -3*i. Determine b(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-163)\/(-15) + (-6)\/(-45). Let w(y) = 4*y + 26. What is the tens digit of w(a)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*s - 2 + 6*s - 13 - 3*s to o*s + l and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g\/(g**(-2\/7)\/g))\/g)\/g**31)\/(g*g**(1\/2)*g*g**(-1\/21)\/g) assuming g is positive.\nAnswer: g**(-181\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 10 and -30656.\nAnswer: -306560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 10473873?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 26*l. Let t(o) be the third derivative of o**5\/15 - 10*o**2 + 7*o. Calculate t(v(j)).\nAnswer: 2704*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 2*a - 11. Let m be u(12). Let d(q) = 2*q**3 + 2*q**2 + 6*q + 6. Let p(o) = -4*o**3 - 4*o**2 - 13*o - 13. What is m*d(h) + 6*p(h)?\nAnswer: 2*h**3 + 2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-1\/6))\/l**(-2\/7) assuming l is positive.\nAnswer: l**(47\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 225.077 - -0.4\nAnswer: 225.477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2*1\/3*3. Let p = u + 3. Let g = p + 1. Solve 3*m = -r - g*m - 8, 0 = r + m for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 97*l - 4 - 198*l + 4 + 95*l. Let n = 29 - 27. Let x(q) = -2*q - n*q + 2*q + 3*q. Determine -4*w(y) - 27*x(y).\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.94 - -2. Let k = j - -0.34. Let t = -0.4000032 + k. Round t to six dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 326*w + 145*w + 15*w**3 + 195*w in the form o*w**3 + k + r*w + i*w**2 and give o.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 15270077 a multiple of 107?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -338 + 338 + 2*w.\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33566 + 33874 = 28*t for t.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.705 plus -14?\nAnswer: -19.705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-three quarters of a kilogram in grams?\nAnswer: 18250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in fourty-five halves of a millennium?\nAnswer: 2250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 7680*w**4 - 86720*w**3 + 316200*w**2 - 331545*w - 148955 = 0.\nAnswer: -1\/3, 31\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 362, 363, 364, 365, 366, 367?\n\"Answer: t + 361","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the first derivative of 1\/2*b**2 + 2 - 9*b. Let h = 363 - 359. Calculate u(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25845 to the power of 1\/3, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - ((-2 - 3) + 3) - 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 6*o + 20. Let d be g(-3). Put -5, -3, -10, d in ascending order.\nAnswer: -10, -5, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11186 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 224462 - 139734. Let w = -49728 + k. What is w rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 13, c: 6}. Give prob of picking 3 c.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-17))\/(-2*-4*(-11)\/(-176)).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -8689 (b) -2 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 44a (base 12) to base 6\nAnswer: 2534","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 38, 1, 4, -4, 2\/25, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 196\/(-63)*(-154)\/(-616)*-54\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00016065707 rounded to 7 dps?\nAnswer: -0.0001607","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1630421 divided by -1.\nAnswer: 1630421","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**3 + 59*q**2 - 374*q - 15915. Calculate a(-61).\nAnswer: -543","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-6\/11)*h)**(-33)*(h*h**(1\/5))\/(((h*h**(-1\/3)\/h)\/h*h*h)\/h))**(-6\/7) assuming h is positive.\nAnswer: h**(404\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-5)\/(20\/(-64)))\/1. Let b be (3 + 0)\/(-3)*(-1 + 1). Solve b = -4*t + r + 8, 4*t = -6*r + r - o for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -4*n**3 - 513*n**2 + 372*n - 911. What is q(-129)?\nAnswer: 1024","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 247 divided by 6\nAnswer: 247\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 1157?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**2 - 33164*k - 132720.\nAnswer: 4*(k - 8295)*(k + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 193 + -183. Solve h - 4 = 2*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 8*l**2 + 6*l + 81. Let a(u) = 28*u. What is y(a(j))?\nAnswer: 6272*j**2 + 168*j + 81","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-84)\/((-15)\/(-105)*-42)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -9*((-8)\/2)\/2. Suppose -2*o = o - y. Suppose -180 = -5*c + m - o*m, -c = -4*m - 26. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4\/28)\/((-60)\/(-1050)). Let h(w) be the third derivative of 0*w**4 + 0 - 24*w**2 + u*w**3 + 17\/30*w**5 + 0*w. What is the derivative of h(t) wrt t?\nAnswer: 68*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + (-167)\/15 + 82\/615?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*c - 425 = -389. Factor 0 + 1\/4*s**5 + 9\/4*s**c + 5\/4*s**4 + 1\/2*s + 7\/4*s**2.\nAnswer: s*(s + 1)**3*(s + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -5160203 and -16 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 106?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(352)*1)\/sqrt(8) + sqrt(704) + 4)**2.\nAnswer: 80*sqrt(11) + 1116","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z. Let s(r) = -6*r + 2. Let q(x) = s(x) + 3*t(x). Let a be q(0). Solve -2*p - 20 = a*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*s + 70*s = -3*k + 9, 7*k = 4*s + 76. Solve 0 = -4*b + k*b - 5*y - 40, 27 = 3*b - 3*y for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1391844451?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18 + 84 - (2 + 0)) + -1418 + 1422?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/((-4)\/(-6)) + 3. What is w rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 385*v. Let s(d) = -44*d**2 + 138. Determine s(j(z)).\nAnswer: -6521900*z**2 + 138","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 63470*p**5 + 21015*p.\nAnswer: 1269400*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -83 + 85. Let s = i + -2.0041. Round s to three decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes before 3:40 AM?\nAnswer: 3:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (612\/(-2992))\/(((-9)\/(-4))\/(-3)).\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -541367982 - -541367550.000331. Let f = -432 - r. Round f to 4 dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2541 + -20367\/8. Find the common denominator of x and (1 - (-165)\/(-21)) + 0.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -12 + p**2 + 12. Suppose 49*a - 16 = 41*a. Calculate the smallest common multiple of i(2) and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -42\/10643 and -9\/768865.\nAnswer: 22297085","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z*z**(6\/7))\/z**9 assuming z is positive.\nAnswer: z**(-43\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**2\/6 - 3797813*y\/3 - 2531875\/2.\nAnswer: -(y + 1)*(y + 7595625)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*i**5 - 91*i**3 - 620*i wrt i?\nAnswer: 40*i**3 - 546*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -190360 (base 10) to base 5.\nAnswer: -22042420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/1712878 and -57\/99034.\nAnswer: 289476382","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -145\/216 and 47\/54.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-21)\/28)\/((-1)\/8)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 228 + -247 + 2 + 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 4, 3320, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 <= 2784?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/513675 and 47\/25113.\nAnswer: 5650425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -323*g + 49479. Determine c(153).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 9a07 (base 11) to base 5\nAnswer: 410241","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Put -227, 2\/11, 1\/168, 1, -12 in increasing order.\nAnswer: -227, -12, 1\/168, 2\/11, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1.8 - -80742\nAnswer: 80740.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1143?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/50 of a centimeter?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 + -5. Let t be (k + 2)\/(1\/3). Solve -m + 13 = -4*v, 0 = -t*v - 0*m - 2*m - 7 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, 1, 5, 0, -4148, -4 in ascending order.\nAnswer: -4148, -5, -4, 0, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*m**3*o**2 + 228669*m**3*o + 13*m*o**2 - 1063*o**2 wrt o.\nAnswer: 10*m**3 + 26*m - 2126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -914225 and -1594.\nAnswer: -915819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2\/3 - 16*c\/3 + 8.\nAnswer: 2*(c - 6)*(c - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 4*g**2 - 18114*g - 90691. What is p(-5)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - i + 18 = 0, 5*p + i - 9 - 13 = 0. Suppose -4*g + 264 = -0*n - p*n, 203 = 3*g - 4*n. Round g to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -16488 + -34?\nAnswer: -16522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/((-16)\/(-876)) + (1 - 4). Suppose -r = -10*p + 44. Calculate the smallest common multiple of p and 8.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*k + 52 = -11*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 3*v**3 + v. Let y be g(-1). Let i be 5 + (-1)\/((-2)\/y). Suppose 9 + 42 = 3*m - o, -51 = -i*m - 3*o. What is the highest common divisor of m and 187?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 5*c + 40 = 2*z, z + 4*c + 17 = 0. Solve z*m = m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23 divided by 12\nAnswer: 23\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/(-49))\/((-6)\/21)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-13) - 220\/(-585). Let i be -3*1 + 126\/45. What is the third biggest value in 0, v, 3\/4, i?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 - 5. Suppose g = -0*j - j + 2*n, 2*j + 2*n + 6 = 0. What is the units digit of (-27)\/(-2) - j\/8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5*2*((-15)\/(-6))\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 255253931.\nAnswer: 23, 11097997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1680047808?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -162*l**2 + 160776*l - 39890312 = 0. What is l?\nAnswer: 4466\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -2*j + 27. Is m(10) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 365582313?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -200 divided by 50?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**2\/3 - 1508*t\/3 - 284258\/3.\nAnswer: -2*(t + 377)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -401487752.0000037 - -401487681. Let a = -0.39 + -70.61. Let r = a - q. What is r rounded to 6 decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -2*o + 158. Which is greater: o or 102?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18534 divided by 6178?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 198652.\nAnswer: 2, 49663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2623 - -104929\/40. Let w = 223\/8 + -28. Let m = w + j. Which is bigger: m or -1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2357195, -4714448, -7071685, -9428900, -11786087, -14143240, -16500353?\n\"Answer: b**3 + 2*b**2 - 2357266*b + 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*g**2 + 29*g*k**2 + 17*k**2 wrt g.\nAnswer: -8*g + 29*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 7955*m + 3627486. Calculate h(-456).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express a - 61*a**3 - 75*a**3 + 25*a**2 + 3*a**4 + 138*a**3 as t*a**3 + w*a + q*a**4 + y + v*a**2 and give v.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r - 5*b + 5, -r + 8*b = 4*b + 4. Let z be (832\/48)\/(4\/6). Let f be z\/22 + (-2)\/2. Which is smaller: f or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**2 - 15*g - 47. Let r(p) = -1. Let u(f) = k(f) - 5*r(f). Let z be u(18). Solve 10*c = z*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (5 - (-30)\/(-6))\/(-3). Suppose a - 1 - 4 = 0. Solve -a*p - 7 = 5*r - 27, x = -4*r - 2*p + 10 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*n**2 - 12*n**2 + 7*n**2 - 2*n**4 - 8*n**3)*((-2 - 3 + 3)*(4 + 1 + 1) + 2 + 9 - 1).\nAnswer: 4*n**4 + 16*n**3 + 2*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -485 (b) 0.2 (c) -5 (d) -99 (e) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -j + 5*n, 2*n = -5*j - 2*n + 2. What is the third derivative of -2*t - 6*t**6 + 2*t + t**j - t**6 wrt t?\nAnswer: -840*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 353*f + 5966 = -3680 + 2233 for f.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -28242 by -5.\nAnswer: 28242\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -21*v + 6*v**5 - 2*v**5 + 9*v wrt v.\nAnswer: 80*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*w - 6*w + w)*(-282*w + 106*w + 138*w + 162)*(-2 - 1 + 1).\nAnswer: 228*w**2 - 972*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a meter in micrometers?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-70)\/(-3) - (-32)\/48. Calculate the highest common divisor of l and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a + 3*o - 8 - 1, 0 = 4*a + 2*o - 6. Solve b + a = -3 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5635.\nAnswer: 5, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**2. Let n = -2 - -3. Suppose -5*m - n = -11. Calculate u(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j + 23 = 9. What is the second derivative of 9*m**j - 8*m - 3 + 2 + 1 wrt m?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 18297407 to the nearest integer?\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*w - 4*d, -d + 4 = -4*w - 5*d. Let z be 27\/30 + 4\/(-10). Put -2\/11, z, w in ascending order.\nAnswer: w, -2\/11, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -241*b - 288 = -233*b. Let u be b\/(-10) - (-38)\/95. Solve -l = -5*l + u for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 43, 4, -7\/4.\nAnswer: -7\/4, 4, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, 1, -551, 5, -1 in increasing order.\nAnswer: -551, -1, 0, 1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*w = 107 + 53 for w.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v - 2*v - v)*(-6*v**4 - 2*v**4 + 0*v**4) - v + v + v**5 - 9*v**2 + 9*v**2 - 3*v**5.\nAnswer: 14*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the first derivative of -452*m**7\/7 + 26*m**3\/3 - 2*m + 1123. What is the third derivative of o(f) wrt f?\nAnswer: -54240*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 41*c**2 - 6*c - 1. Give g(1).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o + 756 = 35*o. Let l be (21\/(-14))\/(-1) + o\/12. Solve 4*p - 3 - 5 = -l*s, -2 = -s - 2*p for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 219280*0.01\nAnswer: 2192.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(1\/31)\/(b\/b**(1\/22))*(b*b\/(b*b**(1\/7))*b)\/(((b\/(b*b\/(b**(7\/6)*b))*b)\/b)\/b) assuming b is positive.\nAnswer: b**(5501\/7161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 3, d: 9, p: 4}. What is prob of picking 1 p and 3 d?\nAnswer: 12\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(720) + -3*sqrt(720) - (5 + 1*sqrt(5))**2.\nAnswer: -34*sqrt(5) - 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -3598, -10631, -21096, -34993, -52322, -73083?\n\"Answer: -1716*t**2 - 1885*t + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18072?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-39))\/(80\/240).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 509, 1, 2 in decreasing order.\nAnswer: 509, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 6500 (base 15) in base 2?\nAnswer: 101001101111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*c - c + 5*c)*(-5038*c + 2149 - 2149 - 23754*c) to the form x + v*c**2 + b*c and give v.\nAnswer: -57584","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 2*c - 7*c + 122, -5 = -5*c. Suppose -55*i + w*i - 80 = 0. Let h(x) = -15*x**3 - 11*x + 3. Let n(u) = 10*u**3 + 7*u - 2. What is i*h(b) - 8*n(b)?\nAnswer: -5*b**3 - b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -1.4 (b) 2\/7 (c) -6 (d) -2 (e) 0.03 (f) 7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87 = -2*k - f, -2*f - 84 = -9*k + 7*k. Let q = k + -38. Solve 2*d = -2*l, 0*d = 2*l + q*d for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 51\/5 of a gram?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 447*j**2 - j. Let r be f(-1). Suppose -b = -n + 230, n + n + b - r = 0. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*w + 105 - 490 = 0 for w.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(187)\/(sqrt(176) - (sqrt(176) - -2*sqrt(176))).\nAnswer: -sqrt(17)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(1 + sqrt(1100)))**2.\nAnswer: 80*sqrt(11) + 4404","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -95\/21988 and -49\/115.\nAnswer: 109940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 8, x: 5}. Give prob of sequence ss.\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1489069, 2978142, 4467215, 5956288, 7445361, 8934434?\n\"Answer: 1489073*a - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-65)\/2600*(-1 + -23)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 186.33 - 1.33. Let t = 145.7 - z. What is t rounded to 0 dps?\nAnswer: -39","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 313027\/3060 + -1738\/17. Find the common denominator of i and 79\/170.\nAnswer: 3060","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times 8146?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4161 or 4163?\nAnswer: 4163","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -118.7781 rounded to 1 decimal place?\nAnswer: -118.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 36*z + 14. What is x(-2)?\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -42523, -0.1, 1\/3, 19?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, -5, 30 in increasing order.\nAnswer: -5, -4, 3, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1 - 1) + 8)\/(2 - 4). List the prime factors of (29\/n)\/(2*4\/(-264)).\nAnswer: 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-nine sixths of a week in minutes?\nAnswer: 82320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**3 - 8*r**2 - 101*r + 784. Let a be w(8). Let o(g) = g**3 + 25*g**2 + 26*g - 45. Give o(a).\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 5*y + 6656692 = -11283308, -v - 2*y + 17940000 = 0. Round v to the nearest one hundred thousand.\nAnswer: 17900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 884319863?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 56\/125 or -41?\nAnswer: -41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -144975460*x**2 - 41191865*x - 1.\nAnswer: -289950920","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l + 15. Let q be y(-8). Suppose 4*z = 139 + 1. What is the greatest common divisor of z and q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/7156 and -15\/14?\nAnswer: 50092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 5 = 4*m. Let k = -2.89 - 0.11. Which is the biggest value? (a) k (b) 0 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the third derivative of 13*o**4\/24 + o**3\/3 - 9*o**2. Does 18 divide a(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -52 < 2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*(-15)\/30*-4?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 463864960.\nAnswer: 2, 5, 13, 127, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -118.77 + 174.56. Round f to the nearest integer.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + 3. Solve 5*y - 22 - 3 = q for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-9)\/(-12))\/((-1)\/(-224)). Suppose 2*q - 622 = p. What is the common denominator of q\/(-60) - 2\/(-2) and 57\/4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -10 + 0 - 10*l**4 + 0 + 1 wrt l.\nAnswer: -40*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -2*s + 1. Let c be j(-2). Let f(b) = 2*b - 5. Let d = -26 + 36. What is the smallest common multiple of f(c) and d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that y**3\/8 + 2297*y**2 - 156503*y\/2 - 165690 = 0.\nAnswer: -18410, -2, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 15902, 15900, 15898?\n\"Answer: -2*h + 15904","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 277891063 to the nearest integer?\nAnswer: 653","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 2*y - 3*y - 22 = 0, 3*t - 7 = -4*y for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 119*t + 8. Suppose -6*p = 38 - 50. What are the prime factors of c(p)?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -12 - 113054341?\nAnswer: -113054353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, l: 1, q: 2, r: 1}. What is prob of sequence glrq?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.2, -7, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the first derivative of 3*v**3 - 121. Let s(c) be the second derivative of c**4\/4 - 186*c. Give s(p(w)).\nAnswer: 243*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 305155 - 14?\nAnswer: 305141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3.08, -4, -18560.4, 1\/10 in descending order.\nAnswer: 3.08, 1\/10, -4, -18560.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 y, and 2 b when four letters picked without replacement from ulbybfyqqqb.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 618739 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 9953336*16\nAnswer: 159253376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 + (-27)\/18 + (-11)\/(-2). Put 26, 5, s, 1, -20 in decreasing order.\nAnswer: 26, 5, s, 1, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 85 + -63. What is the remainder when s is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 2*h - 1)*(0 - 3 + 1)*(-1 + h + 1)*(-4 - 7 + 9 + 87*h) to the form v + c*h**3 + q*h + i*h**2 and give i.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 68.05 * 0.18.\nAnswer: 12.249","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-12)\/(-42) + 2*270\/(-28). Let b = -16 + 33. Let r = b + n. Which is smaller: -3 or r?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 21\/5522 and -25\/80069.\nAnswer: 160138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 3080, 6113, 9146, 12179?\n\"Answer: 3033*j + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 17*j + 94. What is g(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -386 (base 14) to base 15.\nAnswer: -321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14095680?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*w + 25 - 97. Let h be 11\/11 - (-4)\/2. Suppose 18 = -h*b + 6*b. Calculate the remainder when w is divided by b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((29*6\/5)\/((-96)\/(-4560)*-19))\/(-1)?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 810 divided by -65?\nAnswer: -162\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/27 > 2254?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 5*y + 5*i + 48 = 0, -5*y = i - 108. What is the greatest common divisor of 14 and y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 18*m**3 + m**2. Let k be a(1). Suppose 5*r - k = 6. Solve 15 = -0*f + r*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 5 - 4 - d - 3*d**2 - d**3 - 2. Let u be q(-3). Solve u*z + 2*z = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4897 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1053)\/(-75) - 14) + (14384\/100)\/29.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 11) in base 16?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2744213, -2744209, -2744201, -2744189?\nAnswer: -2744173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0232 times 0.3?\nAnswer: 0.00696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 != 3\/211?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 7967*m - 1067570. What is h(134)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24\/5, -13, -199 in decreasing order.\nAnswer: -24\/5, -13, -199","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 14.40126 decades?\nAnswer: 1.440126","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1350952, 2701902, 4052854, 5403808, 6754764?\n\"Answer: o**2 + 1350947*o + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/1001754 and 105\/148408?\nAnswer: 4007016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 22\/(-16) + 2 + -1. Suppose -3 = -i, 4*i + 4 = -5*a + a. Let s = 3 + a. Does s = p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 4*w + 20, -k + 6*k + 3*w + 22 = 0. Let u be 1*-1*(k - -3). Which is bigger: u or -3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**2 + 36*f - 27918. Calculate d(150).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is four fifteenths of a hour in seconds?\nAnswer: 960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 4*w**2 - 8*w - 13. Let x = -461 + 465. What is the remainder when -3*(194\/(-6) - -1) is divided by y(x)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 717 divide 13757079?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -598006*o + 12. Let u be i(2). Round u to the nearest 100000.\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(-5)*y*y\/(y*y\/y**(-2\/11))*y)\/(y**4\/(y\/(y*(y**(-4)*y)\/y*y))))\/(y**(1\/6)*y*y**(-1))**(-1\/30) assuming y is positive.\nAnswer: y**(-8269\/1980)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + 5, o + 34192 - 188062 = -5*s. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*c**3 + 4*c**2 - 167*c + 5995 wrt c.\nAnswer: -6*c**2 + 8*c - 167","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 63 in -11, 4, 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.085 to 1 dp.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1020\/171 - 44\/(-1254).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -43388, -6, -4.\nAnswer: -43388, -6, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1023344332 - 5?\nAnswer: -1023344340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -11 and -749229.7?\nAnswer: 8241526.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 1293 - 1307 = x, -3*x - 4*f + 22 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + -1 - 3) + (10 - -4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*r + 10*r = -2*t + 6, -t + 2*r + 13 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/6*(-20)\/((-36)\/9)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 0*q + 3 - q**2 - 1 + 4*q. Let g be v(4). Solve 0 = 4*o + l - 15 + g, -2*o + 5*l + 1 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 6, 1\/6, -1.7, 373?\nAnswer: 373","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 193483.\nAnswer: 191, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -n*q**2*s*t + 179*n*q**2*s + 9*n*q**2*t - 441*s*t wrt t?\nAnswer: -n*q**2*s + 9*n*q**2 - 441*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*r - 3*r**2 + 51*r - 6*r**3 + 426*r + 8*r**3 + 6.\nAnswer: 2*r**3 - 3*r**2 + 526*r + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 2*q + 25. Let f be o(6). What is the greatest common divisor of f and 22829?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence znp when three letters picked without replacement from {z: 2, b: 2, n: 1, p: 7}.\nAnswer: 7\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (11 - (-13 + 34))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2cc3 - -720?\nAnswer: 34e3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 625503 is divided by 34749.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -221, -1\/11, -6\/13, -1, -4, 1\/5?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*g - 13*g + 14 = -i, -25 = 5*i for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-25 + -7 - (5 - 4)) + 2 - (0 + -3)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Solve 71955 = -710*d - 1045*d for d.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/41514 and -59\/108.\nAnswer: 747252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zwhlg. Give prob of picking 1 l, 1 z, and 1 h.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 64*j - 1. Let x(q) = 26275 - 26275 + 2*q**2. What is x(z(o))?\nAnswer: 8192*o**2 - 256*o + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(133)\/(sqrt(21)\/sqrt(3)) - 4*2*sqrt(19)) + -5.\nAnswer: -7*sqrt(19) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9803*y - 11588*y + 76755 for y.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -21.7 + 3.7. Let q = -13 - w. Let h be 15\/24 - 3 - -2. What is the nearest to 0 in 4, q, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 43239, 172979, 389213, 691935, 1081139, 1556819, 2118969, 2767583?\n\"Answer: -h**3 + 43253*h**2 - 12*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2106669 is divided by 8529?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -28661 by 843.\nAnswer: -28661\/843","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**3 + o**2. Let s(x) = -2*x**4 + 3*x**3 + 2*x**2 + 24*x + 1. Let w(t) = -s(t) + 2*v(t). What is the second derivative of w(f) wrt f?\nAnswer: 24*f**2 - 30*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -x + 8, 4*k = 3*x + 18. Suppose 3*p = 3*z, k = 2*z - 3*p + 4*p. Calculate the least common multiple of z and 11.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v + 1. Let x(u) be the third derivative of 0 - 4*u**2 + 0*u + 1\/2*u**3 + 1\/12*u**4. Let l(d) = 3*d - 14. Let t be l(4). Calculate t*x(n) + 5*o(n).\nAnswer: n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (8\/(-4) - -14) + -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43638?\nAnswer: 2, 3, 7, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 - -102*1)*-2. What is the units digit of -2 + 3 + f\/(-8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 946122.5 to the nearest ten thousand.\nAnswer: 950000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes before 10:17 AM?\nAnswer: 11:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14875494 to the nearest integer?\nAnswer: 246","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3722296 divided by 17?\nAnswer: 3722296\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*y - 40*y**2 + 39*y**2 - 2*y**3 - 5*y + y**3 - 2*y**3 - 1 as q + l*y**3 + i*y + o*y**2 and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 - 1)*(-6)\/7. Suppose 126 = 3*a - 10*a. Let h be a\/10 - (-7)\/(-35). Which is smaller: f or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 57 and 2109.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 3 - 5 = 0. Let y be 0 - 2\/(-2) - z. Let s be 2*((-1)\/y + 1). Solve s*g = 2*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2\/7, 0.2, 269, 4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 3 = -q. Suppose 3*n = -0*g - 5*g - 7, 3*g = -2*n - q. Calculate the highest common divisor of 6 and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -3746, -7973, -12200, -16427, -20654, -24881?\n\"Answer: -4227*m + 481","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3119 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2281765 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the third derivative of x**6\/120 - x**5\/15 - x**4\/24 + 2*x**3\/3 + x**2. Suppose 18*b + 30 = 21*b. Suppose b*l - 32 = 2*l. Determine v(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttstpsptptpt. What is prob of sequence sp?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 31479, 31516, 31553, 31590, 31627?\nAnswer: 31664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.0115173 centuries?\nAnswer: 13.82076","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3 and (-2 - 24\/(-4)) + 1?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 2*n**3 - 103*n**2 - 51*n - 48. Let l be p(52). Sort -2, l, 11, -3.\nAnswer: -3, -2, l, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -831, 0.5, 2?\nAnswer: -831","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13244 by -5.\nAnswer: 13244\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14 - 12. Suppose 0 = -2*s - n*s + 32. Let -6*x + 13 - 5*x**2 + s*x**2 - 10 = 0. What is x?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2 and 580.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 35 + -26. Suppose -f*p + 8*p = -2. Suppose -p*r + 0*r + 96 = 0. Is 6 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 25\/359 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 3*o = -6. Let a be -1*3\/o*-4. Find the third derivative of -3*l**2 - 2*l**3 - l**2 + a*l**2 wrt l.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11.29 - 11.377. What is l rounded to two dps?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 662540984?\nAnswer: 2, 7, 11831089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 949442 to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 13*o + 11*o + 6 = 0, 15 = 4*v + 5*o. Which is the second biggest value? (a) 3 (b) v (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - t - 28 = 0. Let w = -23 - t. Find the third derivative of 0*j**5 - 6*j**2 - j**w - 5*j**5 wrt j.\nAnswer: -360*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7*34\nAnswer: 238","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 358776 a multiple of 216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 113, -4 in descending order.\nAnswer: 113, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 2 = -2*z, -3*z + 5*x - 4 = 6. Suppose 5*o + 2 = -3*u + 83, u + 3 = z. Suppose -5*k + 3*k = -o. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/5 and 1097668 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2437832570 - 2437832605.29999302. Let y = 35.3 + d. What is y rounded to 6 dps?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6.3 in 20, -2\/29, 0.4, 1\/2, -1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c + 6 = 6. Solve -i - 1 = -c*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9241694 rounded to the nearest 100000?\nAnswer: 9200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**2 - 12*n - 7. Let i be d(-11). Let w = 11\/2 - i. Find a such that 1 + 1\/2*a**2 - w*a = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((k\/((k**(2\/9)\/k)\/k))\/k)\/k)\/k*k\/(k*k**9))\/(k**(2\/13)*k)**9)**4 assuming k is positive.\nAnswer: k**(-9176\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - 0. Suppose m*j + 2*j = -2*y + 28, 5*j - 5*y - 40 = 0. What are the prime factors of j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the first derivative of 10*u**3\/3 - u**2\/2 - 6*u + 8. Let r be i(-3). Suppose -r = -3*j + 2*n, -5*j + n = -168 + 16. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:29 PM and 8:41 AM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -244*u + 82*u - 7200 = 139*u + 59*u for u.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14*i**5 + 456*i**4 - 84*i**3 - 4*i**2 + 5522410*i wrt i.\nAnswer: 840*i**2 + 10944*i - 504","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46b (base 13) to base 16.\nAnswer: 2fd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -22*y - 23. Let o(i) = 11*i + 12. Let u(s) = 3*f(s) + 5*o(s). Is 22 a factor of u(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1152 = -23*t - t. Let m be (t\/(-126))\/((-6)\/(-21)). Factor -2\/3*r**2 - 2*r - m.\nAnswer: -2*(r + 1)*(r + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -13*d - 58. Determine j(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 197942?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 1529*y**2 + 39*y + 461. Is b(-14) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3*(-2)\/6)\/((-27)\/(-135)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven eighths of a century?\nAnswer: 1050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 - 0. Let z(a) be the third derivative of -1\/1176*a**8 + 0*a**4 + 1\/735*a**7 - 2*a**2 + 0*a + 0 + 1\/420*a**q - 1\/210*a**5 + 0*a**3. Factor z(p).\nAnswer: -2*p**2*(p - 1)**2*(p + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 77844421?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -841 = -17*d + 519. Calculate the remainder when 716 is divided by d.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1930793 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 437 + -295. Suppose 3*g = -9, -2*a + 5*g + c - 17 = 0. What is the greatest common divisor of a and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*g**3 + 6*g**3 - 2*g**3 + 4.\nAnswer: 2*g**3 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 - (0 - -1)*-5. Let r be 1 - (8\/(-2) - s). Is ((-398)\/(-8))\/(r\/32) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -5*y + 3. Let c(z) = 8 - z + z + 0*z**3 - z**y. Let m(p) = -1. Determine c(w) + 6*m(w).\nAnswer: -w**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dujuuidbu. Give prob of picking 1 b and 3 i.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 2*z + 10. Determine r(-11).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lhlh when four letters picked without replacement from {l: 5, h: 5}?\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1582800 divided by 395700\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -22*u - 30*u + 11 + 69*u - 20*u as r + y*u and give r.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 5*v**2 - 2*v - 2. Let s(o) = o**2 - o - 1. Let l = 1 - -1. Suppose 0 = 3*j - 2*f - 17, l*j - 5*j - f = -5. Determine j*s(x) - a(x).\nAnswer: -2*x**2 - x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hkkkooohokooo. What is prob of sequence ohk?\nAnswer: 14\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*u**3 - 54*u**3 - 588326*u**2 + 294141*u**2 + 294185*u**2.\nAnswer: -50*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -23*s - 254. Let p be v(-11). Suppose 2*t + 4 = -5*k - 8, k - 3*t - 1 = 0. Sort k, 4, p in descending order.\nAnswer: 4, p, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -2*w - 41. Let y(g) = 3*g + 56. Let b(q) = -11*c(q) - 8*y(q). Let o(r) = -6*r + 8. Calculate 11*b(s) - 4*o(s).\nAnswer: 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 2103 + 147. Let v = -45 + 49. Suppose -q + k = v*q. List the prime factors of q.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 - 1)\/(-3 + 1). Let m be (2 - (g - 0))*1. Suppose 0 = m*u + 3*f - 58, -4*u + f + 70 = -18. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h**2 + 0*h**2 + 0*h**2)*(11 - 1 - 1).\nAnswer: 27*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 5*z**2 - 3*z - 10. Does 4 divide p(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(((a**(3\/11)*a)\/a*a)\/a))\/(a\/a**1))**(-24) assuming a is positive.\nAnswer: a**(-192\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -2*b. Let n(h) = -7*h**2 + 21*h**2 - 13*h**2. Give n(i(m)).\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/(-18)*(-3)\/(-15)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*w - 2*p + 10, -15 = -24*w + 25*w - 4*p for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1113 + 1127. Round n to the nearest one hundred.\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.03? (a) 10 (b) -0.5 (c) 569\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -124 (base 6) to base 11.\nAnswer: -48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 114513113?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12 - 12 - 8*m + (3*m - 4*m + 0*m)*(0 - 2 + 0) + 0*m + m + 0*m + (1 + 1 + 4)*(m + 2*m - 5*m).\nAnswer: -17*m","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 - 17 = -4*w. Let f(i) = i**2 + i. Let z(x) = -5*x**2 - 5*x. Calculate w*f(y) + 2*z(y).\nAnswer: y**2 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4\/3 (b) 3\/2 (c) 45\/23 (d) -2\/9 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 26\/(-48) + 2\/(48\/9)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -408.4 - -412.2. Which is the nearest to 1? (a) -1\/2 (b) 5 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0478*480\nAnswer: -22.944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2399 to the power of 1\/2, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -1*(sqrt(162) + -1 + sqrt(162) + 5 + sqrt(162) - sqrt(162)))**2 + -2*((sqrt(162) + 3)*-5)**2*-1.\nAnswer: 3024*sqrt(2) + 9279","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2\/71 + -205\/284. Which is the second biggest value? (a) 4 (b) -0.05 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the first derivative of 7*y**4\/24 - 17*y**2\/2 - 2*y - 69. Let k(f) be the second derivative of v(f). Let t(m) = 7*m**2. Calculate t(k(w)).\nAnswer: 343*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -246625, -246762, -246911, -247072, -247245, -247430?\nAnswer: -247627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*p**(1\/18)*p)\/(p*p*(p*p**(8\/9))\/p) assuming p is positive.\nAnswer: p**(1\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -13*u**3 + 33*u**2 - 2*u + 3. Is h(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 37004, 37009, 37014?\nAnswer: 37019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 5*o + 4*k - 21, 0 = -2*o - k + 9. Let u be 6\/o - (-34)\/(-18). Let q = 3 - 3. Is u less than or equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -15*f**2 + f + 1. Let o be u(-1). Let h = -18998 - -94991\/5. Put h, -5, o in descending order.\nAnswer: h, -5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 92 + (-161 - (-125 + 65)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 2*b - 4, 12 = -0*a - 3*a. Let j(f) = -f**2 - 3*f + 4. Let p be j(b). What are the prime factors of (-2 - p)\/(-2)*10?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -496439 + 493047 = -53*p for p.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -71616 from 0.2.\nAnswer: 71616.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together -34959 and -296.\nAnswer: -35255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87279 is divided by 3948?\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -11694288.9 rounded to the nearest 100000?\nAnswer: -11700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**3 - 5*t**2 - 5*t - 3. Let c be f(-4). Suppose 9 = 5*y + 4. Let w(q) = -6*q + 1. Let r(a) = -1. Let o(l) = y*w(l) + r(l). Calculate o(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*u + 6, -3*a = a + 5*u - 11 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27508, 27560, 27612, 27664, 27716?\nAnswer: 27768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 7*i**2 - 4*i - 4. Let a(k) = -27*k**2 + 21*k - 67. Let r(o) = -14*o**2 + 11*o - 37. Let z(t) = -6*a(t) + 11*r(t). Calculate 5*j(q) - 4*z(q).\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -198440*w**2*y**2 - 2*w*y**2 - 3*w - 2*y**2 + 5310 wrt w.\nAnswer: -396880*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 4*h + 282 = -h, -3*h = 0. Let q = 29 - c. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.033 times 0.7\nAnswer: 0.0231","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 1195\/3*u**3 - 140*u**2 - 35*u**4 + 220\/3*u = 0. What is u?\nAnswer: -11, -2\/3, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(15)\/(sqrt(60)\/(sqrt(48)\/sqrt(4))) - 3*sqrt(12)\/sqrt(4)*1 - (1 + -2*sqrt(300))**2*3.\nAnswer: -3603 + 118*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 55*z**2 - 2*z - 46*z**2 + 56 + 45*z**2 with respect to z.\nAnswer: 108*z - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the third derivative of -k**9\/252 + 11*k**6\/30 - 19*k**5\/60 - k**3 + 3*k**2 - 15. Find the third derivative of h(v) wrt v.\nAnswer: -240*v**3 + 264","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 155\/156 and 23\/78.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 - 5. Let a be (2\/(-5))\/(4\/(-20)). Let o(z) = -2*z**2 + 0*z**2 + h*z**a. Let c(y) = y. Calculate c(o(d)).\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -57*i - 1. Let f be n(-1). Let b be ((-15)\/12)\/(11\/f). Let p = -711\/110 - b. What is the biggest value in -5, p, 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.34 + 4.66. Suppose 4*i + 9 = 4*u + 5, i = -5*u - 19. Which is the second biggest value? (a) 4 (b) y (c) u (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15925 + 25.62126.\nAnswer: 15950.62126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) 0.0338 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -55 divided by -2?\nAnswer: 55\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -64660, -64662, -64664, -64666?\n\"Answer: -2*m - 64658","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 319*b + 2. Let r be v(2). Suppose -n = -4*n + 5*t + r, -2*n - 3*t + 452 = 0. Suppose -3*o - o + n = 0. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the first derivative of s**4\/4 + 5*s**3\/3 + 3*s**2\/2 + s - 9. Let v = 54 - 48. Let i = 2 - v. What is d(i)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -112*k**2 - 10*k - 1. Let u(g) = -335*g**2 - 34*g - 4. Calculate 7*m(r) - 2*u(r).\nAnswer: -114*r**2 - 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 m when two letters picked without replacement from {m: 3, b: 2, p: 1, w: 7, e: 1}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 86288*r + 87838.\nAnswer: 86288","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (63\/54)\/(((-102)\/108)\/17).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1528591*f**3*g**2 - 86018*f**3 - f**2*m + 2*f*g*m - f - 4*m wrt g?\nAnswer: 3057182*f**3*g + 2*f*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, g: 3, d: 5, q: 2, e: 7}. Give prob of sequence gee.\nAnswer: 7\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -267.4 to the nearest ten.\nAnswer: -270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -61*r. Let p(h) = -2*h. Calculate p(s(c)).\nAnswer: 122*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1345 + -597. Suppose -14*f = 2*w - 9*f - 517, 0 = -3*w - 2*f + m. Put 5, w, 2, 3 in descending order.\nAnswer: w, 5, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -2*x**2 - x**3 - 3*x**2 + 3*x**2 - 2*x**2 - 3*x. Let o be a(-3). Solve o = c + 3*c + t - 2, -2*t = 3*c - 4 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the second derivative of -3*c + 0 + 0*c**2 - 2\/63*c**7 + 1\/9*c**6 - 2\/15*c**5 + 0*c**3 + 1\/18*c**4. Factor j(i).\nAnswer: -2*i**2*(i - 1)**2*(2*i - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 46484143?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**4\/(b*(b\/(b**(3\/8)\/b*b))\/b))\/(b\/(b*b**(-2\/11))*((b\/b**(-5))\/b)\/b))**4 assuming b is positive.\nAnswer: b**(-71\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94*w + 107 = 295. Which is the third smallest value? (a) 70 (b) w (c) 65\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 439784 to the nearest integer?\nAnswer: 663","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 874 and 28120?\nAnswer: 646760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11 + 17. Solve 0 = -3*q - x for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46.46197 rounded to 1 decimal place?\nAnswer: 46.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2478*o**4 - 24*o + 13 wrt o?\nAnswer: -29736*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 3*r**3 + 199*r**2 - 133*r + 75. What is n(-67)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 39038893 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4861628459 take away -0.4?\nAnswer: 4861628459.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*l + 12*l + 5*l**2 - 12*l**2 + 2*l**2 + 6*l**2 as w + x*l + d*l**2 and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -3*(1 + (-3 + sqrt(432))**2 + 5).\nAnswer: -1345 + 216*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-198)\/(-55) - 166600\/(-250). Let v = 31 - 21. What is the highest common divisor of x and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 8*n**2. Let q(l) = -6*l - 7. Let o(k) = 5*k + 6. Let c(s) = 7*o(s) + 6*q(s). Calculate x(c(u)).\nAnswer: 8*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16*(-51)\/(-9996))\/((-4)\/21).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 24 + -37 + (5 - -1) + -1\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2477930?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5861 to the power of 1\/2, to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, 3\/2, -1082?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 14639875?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15*b**3*s**2 - 57*b**3 - b**2*s**2 - b**2*s + b**2 + 360*b*s**2 - 6659*b - 5*s**2 + 2*s wrt s?\nAnswer: -30*b**3 - 2*b**2 + 720*b - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 6671696?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4 or 3647?\nAnswer: 3647","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 160.52 + -160.42. Sort 66, f, 0, -4, 0.2.\nAnswer: -4, 0, f, 0.2, 66","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.3, 492, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 63.2 minus -23.42?\nAnswer: 86.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 17770261 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*m + 1. Let t be 15\/(-5) + 5\/m. Suppose 3 = -t*b + 3*b. Calculate the least common multiple of 5 and b.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes before 10:35 AM?\nAnswer: 12:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the first derivative of n**4\/4 + n**3 - 5*n**2\/2 + 3*n + 3. Let d be o(-4). Is 4 a factor of d*1 + (2 - -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*s + 70 + 42 = 0 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 221833 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 671516.\nAnswer: 2, 167879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 3*w - 5 - 1 = 0, -4*w + 27 = 5*d. Find the third derivative of 5*s - 3*s**3 - 2*s**2 + 0*s**d - 5*s wrt s.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18124 = -5*t + 6*t. Let y = t + 200301\/11. Let i = -85 + y. Which is the third biggest value? (a) -1\/4 (b) 3\/5 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*x**3 - 1 + 1 + (955*x + 3406*x - 29*x - 416*x)*(-4*x**2 + 4*x**2 + 7*x**2) to q*x + z*x**3 + g*x**2 + s and give z.\nAnswer: 27414","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4964*j - 7592 wrt j.\nAnswer: 4964","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(1377) + 1))**2 - (-1 + sqrt(1377))*3) + 0.\nAnswer: 423*sqrt(17) + 34453","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -20.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 381 and 12.\nAnswer: 1524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24000 and 49125.\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 2533 times -965\nAnswer: -2444345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, -1\/2, 143.\nAnswer: -4, -2, -1\/2, 143","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -110432 (base 8) in base 3?\nAnswer: -1212221210","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 16) to base 2.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/3255106 and -29\/31.\nAnswer: 100908286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-32)\/(-10)*(-935)\/(-11). Suppose 1199 + x = f. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 6 = 14. Solve p = f*v + 21, 3*p = 3*v + 2*v + 35 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 6*y - 4*y - 305, y = -4*c + 130. Let d be -4 + 5 - 2\/(-2). Differentiate y*m - 6 + 12*m**d - 150*m wrt m.\nAnswer: 24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, -1.322, -4, 0.2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-4)*m)\/m**1*(m\/(m**1*m))**(-4) assuming m is positive.\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -113800 rounded to the nearest 10000?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v = -12*v + 16 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 2 j when three letters picked without replacement from {x: 1, j: 4, g: 5}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -4, 5, -8, -1, -573 in decreasing order.\nAnswer: 5, 2, -1, -4, -8, -573","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 20 = -6*u - 0*i, 5*u - 4*i + 6 = -8*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 541725 and 186.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.057647 to 2 decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 9*y - 12. Let a be ((-45)\/18)\/(2\/(-4)). Let k be x(a). Suppose -17 = c - k. Calculate the greatest common factor of c and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1291, 2543, 3743, 4867, 5891, 6791, 7543, 8123?\nAnswer: 8507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -28 - -41. Let x(u) = -11*u**2 + 18*u. Let r(l) = 21*l**2 - 35*l. Let s(i) = c*x(i) + 6*r(i). What is the second derivative of s(v) wrt v?\nAnswer: -34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 378 + -375. Let x = -7 + 7.3. Let c = 0.05 + 3.95. What is the second biggest value in o, x, c?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxnnnxx. Give prob of sequence xnx.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 + 1. Let h be (-2)\/(-6) + (-203)\/n. Is (h\/10)\/(1\/5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 - -1 - (4 - 4). Let b = -3.95 + -0.05. Let i = b + 3. Which is smaller: v or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.302652521 rounded to 2 decimal places?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the second derivative of -w**9\/2856 - w**8\/1190 - w**7\/1785 - w**3\/6 + 93*w. Let b(l) be the second derivative of o(l). Suppose b(z) = 0. What is z?\nAnswer: -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*d + f - 14061 - 13891 = -5*d - 28127, -70 = 2*d - 8*f for d.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:59 AM and 11:08 AM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 42*r**3\/23 + 40*r**2\/23 + 8*r\/23.\nAnswer: 2*r*(3*r + 2)*(7*r + 2)\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (330\/(-9))\/(52\/(-234)). Calculate the greatest common factor of 1705 and c.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - 1 - (1 - -3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 3*o + 49 = -5*a, -a - 3*o = 20. Let t = 31 + a. Solve -t*f = -f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-110)\/8*(-712)\/445?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1363662433 to the nearest integer?\nAnswer: 36928","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is h in h**3 - 2751*h**2 + 272799*h - 6890049 = 0?\nAnswer: 51, 2649","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*a - 1 = -7*a - s, -2*a = 2*s + 16 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2067, -2970, -3873, -4776, -5679, -6582?\nAnswer: -7485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(2\/5)\/m)**(-18)\/(m**(-1\/9)*m*m*m**(-6)*m))**(-49) assuming m is positive.\nAnswer: m**(-30674\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 176 + -171. Let c(b) = 8*b**2 + 21. Is c(y) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -417*w**2 + 206*w**2 + 212*w**2.\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 3\/4 (b) -4 (c) -2 (d) -1\/2 (e) -1.31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5211125533 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 876*k - 885*k = -27 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3265 - 6558.264. Let o = -3293.4239983 - i. Let u = -0.16 - o. What is u rounded to 6 dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(1\/3)*u**(3\/2))\/(u**(-1\/9)\/((u**(3\/10)\/u)\/u)) assuming u is positive.\nAnswer: u**(26\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:54 AM and 10:53 PM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.01 and 1030.\nAnswer: 10.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.6 and -0.6359.\nAnswer: 0.38154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -4, 2\/19, 26, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 235726603?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -93\/2378 and (-17 + 1245\/60)\/((-123)\/15*2)?\nAnswer: 9512","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 1 t when three letters picked without replacement from {y: 10, t: 9}?\nAnswer: 135\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:52 PM and 4:29 AM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19367, -34835, -50303, -65771?\nAnswer: -81239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 163647 and 528.\nAnswer: 2618352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 312*n**3 - 453*n**3 - 632*n**3 + 131*n - 66*n - 65*n.\nAnswer: -773*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-1\/17)*(i\/(i\/(i\/(i*(i*i*i*i\/(i\/(i*i\/(i\/(i*i**(-6)*i))))*i*i)\/i))))\/i)\/(i**(16\/3)*i**10))**(-18) assuming i is positive.\nAnswer: i**(5322\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2*(-8)\/12*6\/(-4). Let c(f) = 3*f**3 + 6*f**2 + 0 + 2*f**2 - 4*f**2 - 3*f - p. What are the prime factors of c(3)?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 93 = 4*p - z, -2*p = -4*z - 184. Is 94 at least as big as p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 22.3 - 21. Let r = -2.3 + y. Let u = -1.5 - r. Sort u, -4\/5, -1\/4 in descending order.\nAnswer: -1\/4, u, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-5) - 135\/25.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.5 and 199478.714.\nAnswer: 199479.214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6981 and 9412.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 5 = 5*r - 7, 4*h - 24 = -4*r. Is 6 a factor of (h\/(-3))\/(35\/(-30) + 1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*y + 6*y**2 - 2*y - 4*y**2 + 4*y**2 wrt y?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zg when two letters picked without replacement from zzzzzziggiz.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3235 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.15, -4.2, -6?\nAnswer: -4.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g\/(g*g**7)*g)\/g**(-5))\/(g\/(g**1\/g))**(-1\/45)*((g\/(g\/(g*g**(1\/6))))\/(g**1*g))\/(g**(1\/4))**40 assuming g is positive.\nAnswer: g**(-973\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:21 AM and 1:13 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3\/(-12)*4)\/(-5). Let q be 1*-2*(-1)\/3. Which is the closest to q? (a) 0.5 (b) x (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the first derivative of 8*c**3 + 185*c + 69. What is the derivative of o(v) wrt v?\nAnswer: 48*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*i**3 + 845 - 283 - 3*i**3 + i**4 - 47*i - 279 - 282 as j*i**3 + w + q*i + b*i**2 + f*i**4 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -287 + 452. Suppose 0 = 4*h + 5*v - 294, -h + 2*h - 5*v = 61. Let r = h - w. What is r rounded to the nearest ten?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 69, 126, 171, 204, 225, 234?\n\"Answer: -6*c**2 + 75*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/7*(-21)\/(-42).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 10) to base 15.\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**2 - 21*c + 104. Suppose 9 + 126 = 5*j. Calculate the remainder when j is divided by a(6).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 562 - 562 + 134*q - 624*q.\nAnswer: -490*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 2232723758?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4\/(-6) + 1)*6. Suppose 0 = -j - g*j. Suppose 0*k + k - 3 = 0. Solve -5*h + k*h = j for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -194 + 210. Suppose -14*b - 470 = -s*b. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7205 or -4\/1731?\nAnswer: -4\/1731","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x + 7. Let p be q(11). Let n = p + 9. Is n a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18690000 rounded to the nearest one million?\nAnswer: 19000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -7, 3, 0.\nAnswer: -7, -4, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qzo when three letters picked without replacement from oqxqqzhoox?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2382325 = 31*s - 3076682. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 q, and 2 c when four letters picked without replacement from {c: 3, q: 1, y: 3, a: 2, r: 1, s: 1}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -61*c - 75. Suppose -3*z - 19 + 7 = 0. Let w be a(z). Is w > 170?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75732843*c + 1890 = 75732822*c for c.\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*z = -19598 - 9119. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 6*s = 30. Suppose p - x - s - 1 = 0, p - 7 = -5*x. What are the prime factors of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3025272 a multiple of 307?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -83, -72, -61?\n\"Answer: 11*j - 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 0.5 (b) 2\/3 (c) 51\/14 (d) -2\/11 (e) -0.3 (f) -1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 6 = 3. Suppose g = 2*j - j. Let x(i) = -2*i + 1. Let n be x(-3). Solve -r - j = -n for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 459 and 20366?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**3 + 39*s**2 + 168*s + 158. Give r(43).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-34)\/((-1428)\/63)*(-40)\/(-6)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -360 - -853. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 + -2. Let h = 326 + -318. What is the smallest common multiple of h and z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24889.16ng to tonnes.\nAnswer: 0.00000000002488916","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 19 = 2*x - 0*x, 0 = -4*x + 5*m + 37. Let f = x - 0. Differentiate -4*w**3 - f + 3 - 3 - 1 with respect to w.\nAnswer: -12*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.028 + -0.472. Let a = -1.3 + 0.3. What is the second biggest value in 2, a, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7*s**3 + s**2 + 175*s + 62322 with respect to s.\nAnswer: 21*s**2 + 2*s + 175","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4 - (-4 + 4) - 2. Solve -3*m - 5 = p*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 + -14a17a?\nAnswer: -14a181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*w**3 + 7564 - 7564.\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -120, -231, -342, -453, -564, -675?\nAnswer: -786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (f**2 - 8*f - 5978 + 5978)*(-3 + 3 - 1) to the form x*f**2 + c + k*f and give k.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - (7 - (1 + -3 + 5))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in twenty-five quarters of a tonne?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*w + 158 + 267 = 113 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07 plus -0.47?\nAnswer: -0.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:18 AM and 12:42 PM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 + 0)\/(2\/(-72)). Suppose 14 = -v + 3*c + 3, 3*v - 3*c = -9. Let x be (12 + 0\/2)\/v. Calculate the highest common factor of x and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*l**5 + 2252*l**4 - 8*l**3 - 610962*l**2?\nAnswer: -120*l**2 + 54048*l - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q**5 - 7775*q**4 - 4531850*q**3 - 1172737750*q**2 - 113312947825*q + 114490225205 = 0. What is q?\nAnswer: -389, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n + 1. Let f be s(-2). Let d be (5\/25)\/((-15)\/(-375)). Solve 4 = -t - i, f*t + d*i + 11 = 3*i for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7652150 rounded to the nearest 10000?\nAnswer: -7650000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes before 8:01 AM?\nAnswer: 2:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q + 5*t - 1029 - 3357, 3*q - 4*t = 13253. Let z = 1108 + q. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2846*p*s*t**3*w**3 + 5*p*s*t**3*w**2 + 2*p*s*t**2*w**2 + 10*p*s*t**2 - p*s*w**2 - 4*s wrt w.\nAnswer: 17076*p*s*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 4*x + 3. Suppose -4*a = -4*k - 0*k - 16, -4*a + 2*k + 8 = 0. Let j = 3 + a. Is 15 a factor of u(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 - (11\/(-5) + 0). Let h = 0.212 + 1.508. Let j = h + -1.42. Which is the nearest to x? (a) -2\/15 (b) 0 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**2 + 5*c + 1. Let n be r(-4). Let b be 1\/(-1) + 4 - n. Let u(d) = 8*d + 5. Is u(b) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhhhhhphhp. What is prob of picking 2 p?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9*17\/((-1530)\/(-40)))\/26?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 + 0)*(3*q**2 + 2*q**4 - 3*q**2) - 30*q**3 + 3*q - 10*q**4 + 30*q**3.\nAnswer: -2*q**4 + 3*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nmpmy. Give prob of picking 1 m, 1 y, and 1 p.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - -5. Suppose -5*b = -f*b + 102. Let n = b + -58. Let j(m) = -m**3 - 6*m**2 + 5*m + 4. Calculate j(n).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -65 - -67. Let w(h) = -4*h - p*h + 7*h - 3*h + 3*h. Let q(l) = -13*l. Determine q(w(m)).\nAnswer: -13*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f**5\/7 - 282*f**4\/7 + 3004*f**3\/7 + 11892*f**2\/7 - 3006*f\/7 - 11610\/7 = 0. Calculate f.\nAnswer: -3, -1, 1, 15, 129","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -l + 169*l**2 - l**3 - 89*l**2 + 1 - 83*l**2 in the form h*l**2 + d*l**3 + b*l + o and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 - (31 - 12 - 3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*c - 3*c + 5. Is c + (221 - -1) - -2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 9) + -3 - -6 - (5 + 1)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -363.5 - -0.06.\nAnswer: -363.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes after 6:20 PM?\nAnswer: 12:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**2 + 7*k - 4. Let g(o) = -5*o**2 - 29*o + 12. Let j(r) = -2*g(r) - 9*n(r). Give j(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k = 4, -19 = 5*l + 3*k - k for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1561 is divided by 472?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 9, -5, -31, -75, -143, -241, -375, -551?\n\"Answer: -l**3 - 7*l + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 25.3 - 26.3. Which is the closest to -1\/2? (a) -0.2 (b) 0.01 (c) -0.6 (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 + 8. Let l be (-7)\/4 - (p - 5). Which is the smallest value? (a) 0.3 (b) l (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.05 + -2.09. Let t = 2 + l. Put -3, t, -0.5 in ascending order.\nAnswer: -3, -0.5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - -6. Let x(f) = f + 14. Let d be x(u). Calculate the greatest common factor of 189 and d.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6.63 + -6.73. Sort g, -0.07, 1\/7 in descending order.\nAnswer: 1\/7, -0.07, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -23731 - -23704. Let p(x) = 2*x**2 + 55*x + 45. Give p(c).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -21 + 21. Suppose -5*s + 20 = f, -2*b + 1 = -s + 9. Is b at most -2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15698949 a multiple of 69?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 a when two letters picked without replacement from {c: 5, a: 9}?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -189*f - 12600 = -199*f. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 145075? (a) 0.3 (b) -10 (c) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -24409, -48817, -73225?\n\"Answer: -24408*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -105, 377, 1201, 2367, 3875, 5725, 7917?\nAnswer: 10451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 45407461?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/((-15)\/(-10)*(-21)\/((-23310)\/100)).\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l - 11. Let w(g) = -112*g + 5. Let s(a) = -179*a + 8. Let k(n) = 5*s(n) - 8*w(n). What is j(k(d))?\nAnswer: d - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.4 (b) -1\/4 (c) -9 (d) 971\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and 5?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 36, -23546, 3, -10, 0 in ascending order.\nAnswer: -23546, -10, 0, 3, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*h**2 + 0*h**2 + 13*h**3 - 16*h**3 - 2*h - h**3 + 17*h**4 to the form i + w*h**3 + d*h**4 + s*h + q*h**2 and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g - 53759 = 101225. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -143, -316, -489, -662?\n\"Answer: -173*p + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v = -0*v - 12. Solve 10 = -5*d - p, v*d - 4*p = -p - 21 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -28546600 to the nearest one million.\nAnswer: -29000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -248788000 to the nearest 1000000.\nAnswer: -249000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 215*c**2*r**2 + 3*c**2*r + 2*c**2 - 2*c wrt r.\nAnswer: 430*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**2 + 2*g - 4 + 0*g + 4*g**2 - 6*g. Suppose 5*d - i + 15 = 2*d, 2*d + 5*i - 7 = 0. Let j(u) = 6*u**2 - 5*u - 5. Give d*j(k) + 5*o(k).\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**3 - 8*y**2 - y + 9. Let n be p(8). Is n greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20 + -12. Suppose -s = j - 4, 4*j = -2*s + 6 + l. Let v(u) = -s + 9*u + 1. Give v(1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*w + w**2 - 4*w + 6*w**2 - 4*w**2 - w**2 + (3 + w - 3)*(3*w - w + 0*w) - 137*w**2 + 14 - 137*w**2 + 266*w**2.\nAnswer: -4*w**2 + 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -69\/784 and -111\/9520.\nAnswer: 66640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3513?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 39 + -38. Let v be 120\/90*((-3)\/(-2))\/h. Let i be -2*(-3 + v)\/(-6). What is the closest to i in 1\/5, -1\/2, 0.3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001904437 - -172?\nAnswer: 171.9998095563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -2*w**5\/11 + 4*w**4 + 282*w**3\/11 - 324*w**2\/11 = 0?\nAnswer: -6, 0, 1, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -667, -1336, -1977, -2590?\nAnswer: -3175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 290405584 and 10864.\nAnswer: 10864","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 5)*(-68 + 68 + 53*r).\nAnswer: -159*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 9207660 a multiple of 330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51076 is divided by 25528?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1068*h**3 - 1160*h**2 + 1160*h**2 + 263*h**3 - 403*h**3.\nAnswer: -1208*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -142, -556, -1246, -2212, -3454, -4972?\n\"Answer: -138*k**2 - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -127.834 + -0.166. Let g = -130.12 - n. Let k = g + 2.12129. Round k to 3 decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y*y*y**8\/y*y)**15 assuming y is positive.\nAnswer: y**165","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-six fifths of a millennium in decades?\nAnswer: 920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -24*m**5 + 40*m**4 - 4*m**3 - 10*m**2 - m - 1. Let n(j) = -j**5 - j**3 + j + 1. Let b(k) = f(k) + n(k). Find i such that b(i) = 0.\nAnswer: -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11394*m + 3*f + 1927 = -11446*m, f + 149 = -4*m for m.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 2 q when three letters picked without replacement from {a: 10, q: 2, k: 1, g: 1, x: 3}?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 519 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**2 + 4*y - 75. Let u be v(-21). Let j = u + 64. List the prime factors of j.\nAnswer: 2, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12 - 88) + (305 - 149)\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 6*z - 34. Let q be f(6). Suppose c - 5*x = q, -c = 4*c - 2*x - 33. Solve 3 = -2*o - 3*i, -3*o - 3 = -3*i + c*i for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -276130697 rounded to the nearest ten thousand?\nAnswer: -276130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -42912, 0.5, 4?\nAnswer: -42912","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00263 to three dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wjw when three letters picked without replacement from {w: 2, u: 1, z: 1, s: 1, j: 2}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 10 and 8.5.\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 29688527*z**4 - 20706*z**2 + 205*z?\nAnswer: 712524648*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 2610?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t, -62 = -5*a - 3*t + 3. List the prime factors of a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**2 - 4*z + 4*z**2 - 3 - 2*z**2. Suppose 0 = 6*j - 5*j + 1. Let a be n(j). Let m(u) = u**2 + 2*u. Give m(a).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1670 to the power of 1\/2, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -74*z + 232 + 138. Factor 2\/3*o**3 - 1\/3*o**4 - 1\/3*o**z + 2\/3*o**2 - 1\/3*o - 1\/3.\nAnswer: -(o - 1)**2*(o + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -18*s + 49. What is l(-7)?\nAnswer: 175","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the second derivative of 1\/12*x**4 + 1\/2*x**2 + 0 + 1\/6*x**3 - 3*x. Give s(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 856?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*1*sqrt(28)*-2.\nAnswer: 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 44 = -2*f + 2*l, -4*l = -3*f - 65. Let o = -15 - f. Solve 0 = -m - o for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 69988*j*w - 64206757*j + 154*w wrt w?\nAnswer: 69988*j + 154","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/216253686 and 36\/22055.\nAnswer: 1081268430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/31886 and 13\/2682.\nAnswer: 286974","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the third derivative of 3*g**5\/20 - 10*g**3\/3 + 20*g**2. Find the first derivative of w(f) wrt f.\nAnswer: 18*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -394750 or -394705?\nAnswer: -394750","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 688*g**2. Let n(f) = 5*f**2 + 147. Determine n(l(y)).\nAnswer: 2366720*y**4 + 147","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20000121111 + -22?\nAnswer: 20000121012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -93261 divided by -4441\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -29 + -110. Let p = o + 138. Which is the closest to 0.4? (a) 2 (b) p (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000040237526 rounded to five dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 62146, 2, -1, 0.7, 1?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 325*s**3 - 873*s**3 + 321*s**3 + 228*s**3.\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/1580500 and -139\/4350.\nAnswer: 4741500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 194*z - 1169. Let n be w(6). Which is the closest to -2\/99? (a) -0.4 (b) 3 (c) 4\/3 (d) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1006 + 791. What is the thousands digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17 or 2?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16 - -27. What is the smallest common multiple of -7 + (14 - -2 - 2) and l?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 5*r**2 - 2*r - 3. Let n be (-18)\/4*2\/3. Let f be o(n). Is ((-18)\/(-4))\/(f\/64) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43914 to the power of 1\/2, to the nearest integer?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 70 = 406. Suppose -s*o + 172*o = 1064. Does 38 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*-525.65\nAnswer: 262.825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9*k*v**2*x - 5*k*v*x - 2*k*x - 6*v**2*x - 6*v**2 - v*x wrt k.\nAnswer: 9*v**2*x - 5*v*x - 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1728 divided by 3?\nAnswer: 576","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -28*b + 6. Let l be m(5). Let p = -130 - l. Solve -3*y = -2*f - p, 13 = 5*f - 2*y + 1 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -1\/41751359 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6733224?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2778696 divided by -1\nAnswer: -2778696","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 3*p - 3 = 0, -p + 7 = 4*s - 4. Suppose -12 = s*a - 5*a. Suppose -a*d = -d + 2310. Round d to the nearest 100.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.009100424 rounded to four dps?\nAnswer: -0.0091","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 4, -0.3, 9?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 4 = -4*p. Let o(g) = -4*g**3 + g**2 - 1. Let h be o(p). Factor -2*y**3 + 2*y**5 + 1 + 4*y**2 - 1 + 0 - 4*y**h.\nAnswer: 2*y**2*(y - 2)*(y - 1)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -7*l**2 - 27. Let m(j) = 5*j. Calculate s(m(z)).\nAnswer: -175*z**2 - 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3040 (base 5) to base 12.\nAnswer: -28b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 69015741*t*y**2 + 5*t*y + 2*t - 7561943 wrt y?\nAnswer: 138031482*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -3125.2135 to the nearest integer.\nAnswer: -3125","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -197431400 divided by -328?\nAnswer: 601925","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4c07b5 (base 16) to base 9.\nAnswer: -10333883","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 3*x + 1. Suppose 62 = -15*k + 167. Let u(m) = 6*m + 3. Calculate k*a(w) - 3*u(w).\nAnswer: 3*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18828?\nAnswer: 2, 3, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i. Let c(p) be the third derivative of p**4\/12 - 4*p**2. What is c(l(t))?\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**3 - 3*k**2 - 5*k + 6. Let y be x(4). Suppose 2*r - 4*r = -6. Let d(l) = 2*l - r + 2*l - l. Determine d(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vrl when three letters picked without replacement from rrllimrvllilorli?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 346 (base 9) to base 5.\nAnswer: 2120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 i when two letters picked without replacement from dri.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 5*n = 67, -23 = -l - 4*n + 4. Suppose -2*x - 3*p = x - 57, 4*p = x - l. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -146 - 82 = -12*x. Suppose 3*c + 2*c - 260 = 0. Let v = c - x. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 15*m**2 - 25*m + 25. Let y(x) = 7*x**2 - 12*x + 12. Let g(c) = -6*s(c) + 13*y(c). Let a be g(6). Suppose -k = 2*k - a. Solve k*r + r = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 428831960 divided by 2?\nAnswer: 214415980","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j - 4, -4*g + j - 367 - 646 = 0. Let x = 583 + g. What is the remainder when x is divided by 37?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) 36 (c) 1 (d) 0.04 (e) -1\/63 (f) 0.043 (g) -6\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -130432 (base 5) in base 14?\nAnswer: -1c17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + 7 = -5*a, 23*b - 35 = 28*b - 5*a for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/6875 and -71\/22000?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32222534 divided by 16111267.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 9 - 17?\nAnswer: -a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((192\/(-40))\/(-12))\/((-21)\/(-15))\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-1)\/(-6)*(-173 + 96) and -29\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*h**2 - 417040*h + 834100.\nAnswer: -5*(h - 2)*(h + 83410)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:53 PM and 11:04 PM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 445907 at least 446267?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-66)\/(-4)*(-10 - 128\/(-12)). Put -2, 1, o in ascending order.\nAnswer: -2, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4761 or -4690?\nAnswer: -4761","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**3 - 11*r**2 + 14*r - 22. Determine l(10).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + -2 + -2 + sqrt(99) + -4 + sqrt(99) + -1 + sqrt(99))*2)**2.\nAnswer: -720*sqrt(11) + 3964","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 6*j - 12. Let g(x) = 24*x - 47. Let s(l) = -6*g(l) + 22*t(l). Let u be s(-7). Which is smaller: u or 101?\nAnswer: 101","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4543509 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0717 and -4.\nAnswer: 0.2868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1033 + 3?\nAnswer: -1030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes before 3:21 PM?\nAnswer: 8:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0048226 rounded to 4 dps?\nAnswer: -0.0048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -895*w**2 + 24*w - 24. Let j be g(1). Sort -4, j, -2 in decreasing order.\nAnswer: -2, -4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*m**2 - 8650*m - 3720645.\nAnswer: -5*(m + 801)*(m + 929)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4\/8)\/((-6)\/(-44)). Let k = 19\/6 - r. Let m be (-38)\/10 + (-11 - (-295)\/25). Which is the nearest to -1\/4? (a) -2\/3 (b) m (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p - 2183 + 2147 = 3*i, 70 = -5*p for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.049621 years in millennia?\nAnswer: 0.006049621","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1006755 times -3\nAnswer: 3020265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-40)\/1140 - 15429\/(-119700) and 43\/420.\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 191151348?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2146392 is divided by 2146363?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -2 + 3*o + 3 + 3 + 4*o**2 - 5*o**2. Let s be -2 + 4*2 + -1. Suppose 7 + s = 4*q. Calculate d(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5698700 to the nearest 100000.\nAnswer: -5700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the first derivative of a + 11 + 0*a**2 + 0*a**3 + 3\/4*a**4. What is the derivative of k(o) wrt o?\nAnswer: 9*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (10\/(-4) + 1)*8. Let u be -12*(1 - (-57)\/(-12)). Let m be -4*(u\/q + -1). Solve -6*s - 7 = -s + k, -5*s = -3*k + m for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-356 - 77 + 768 + 529 + 656)*(-2*h - 4*h + 4*h).\nAnswer: -3040*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 842785 is divided by 724.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 3 + 25*v**2 - 14*v**2.\nAnswer: 11*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, b: 2}. What is prob of picking 2 b?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_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: Which is smaller: -373682 or -373685?\nAnswer: -373685","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-13))**(-8))**(-12\/7) assuming s is positive.\nAnswer: s**(-1248\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 598 = -7*u + 3*d + 201, -93 + 7 = 3*u + 2*d + 94 for u.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**2 - 7*r + 11. List the prime factors of u(0).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 38 + 0*u**2 - 29 + 4*u**2 with respect to u.\nAnswer: 8*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 143 - 86. Let v(x) = 102*x**2 - u*x**2 - 51*x**2. Let q(c) = 3*c. Determine v(q(h)).\nAnswer: -54*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -278 + 278 - 12*b**3 + b**2 + 3*b - 2*b to v + y*b + q*b**3 + u*b**2 and give q.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 7*w + 80. Let g be f(-12). Let t be ((-1 - 315)\/g)\/1. Is 550\/7 at most t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2022 + 2025. Let v(q) be the second derivative of 1\/10*q**5 + 0 + 13*q + 1\/6*q**4 + 0*q**2 - 2\/3*q**m. Factor v(g).\nAnswer: 2*g*(g - 1)*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**0\/y*y**(2\/27)*y**(-2\/3)\/(y*y\/y**(-3)*y) assuming y is positive.\nAnswer: y**(-205\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*i - 37*i + 49011 = 0. Calculate the greatest common factor of i and 748.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5251 - -42109\/8. Find the common denominator of n and -115\/12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -67273539.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 67253399 to the nearest integer?\nAnswer: 407","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 9*y - y**2 + 0*y**2 - 11 + 5*y. Let l be m(11). What is the greatest common factor of l and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqovhxxn. What is prob of picking 1 h, 1 n, and 2 q?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and -0.249.\nAnswer: -0.0747","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -2 + 2*w + 4*w - 3*w - 2*w. Suppose -d = -3*k, -2*d - 2 + 3 = -5*k. Let g be 3*2\/d - -1. Give o(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 103 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(40)\/(sqrt(288) + sqrt(8)) + (sqrt(35)\/sqrt(7))**2*-4 + (sqrt(720) - (-6*(sqrt(720) + 0))**2) + sqrt(720) + -1*sqrt(720) + -2 + 2)*-1.\nAnswer: -85*sqrt(5)\/7 + 25940","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -5*q**3 - 8*q**3 + q**3 + q + 23*q**3 - 6*q**3. Let j = 14 + -17. Let o(i) = -16*i**3 - 4*i. Give j*o(p) - 10*g(p).\nAnswer: -2*p**3 + 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -720727 - 5a?\nAnswer: -720785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/(-21)*(-39)\/26. Put j, 10, -1\/4, 0.1 in ascending order.\nAnswer: -1\/4, 0.1, j, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 459 + -3c8?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -372 times 48361?\nAnswer: -17990292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:07 AM and 10:14 AM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7 - (-118)\/168*-10 and -107\/42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 9*d + 11. Let l be 7\/21 + 44\/(-6). Let y(h) = -4*h - 5. Give l*y(i) - 3*b(i).\nAnswer: i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*o + 10 = -13*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 5*r. Let s(j) = -402*j + 271. Let t(p) = -5*a(p) + s(p). Differentiate t(k) wrt k.\nAnswer: -427","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 637, 4, 5.\nAnswer: 4, 5, 637","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -249.4 - 4.6. Let q = m - -253.8. Which is the second smallest value? (a) 5 (b) 1\/5 (c) 0.021 (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16882 and 15019.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 14 and 54540.1.\nAnswer: 763561.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3 - (3\/3 - 9). Suppose -b - u = 2*u - 6, 2*u + 64 = j*b. Calculate the highest common factor of b and 108.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2952.26 rounded to the nearest one hundred?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 7*c = -17, 139670*c - 139708*c = -a - 36 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-22992)\/10*(-405)\/(-54). Let u be 12\/42 + k\/(-14). Suppose 0 = -4*s + 15*s - u. Calculate the highest common divisor of s and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2090268 by -5619.\nAnswer: 372","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 27, 101, 219, 375, 563?\n\"Answer: -j**3 + 28*j**2 - 3*j + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4121671?\nAnswer: 251, 16421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5733.\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 6*a - 3)*(3 - 22 - 12) + 2*a + 0*a + 0*a.\nAnswer: 188*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 5*y**2 + 5. Let z(w) = w**2. Suppose -10 = o - 3*o. Suppose 2*t - 3 = o*t. Let k(v) = t*r(v) + 6*z(v). What is the first derivative of k(d) wrt d?\nAnswer: 2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8418367 or 8418343?\nAnswer: 8418343","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve m**5 - 1459*m**4 + 483358*m**3 + 36297478*m**2 + 71139041*m + 35326381 = 0.\nAnswer: -61, -1, 761","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the first derivative of -o**6\/30 - o**5\/25 + o**4\/20 + o**3\/15 + 6. What is v in y(v) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 126855, 126861, 126871, 126885?\n\"Answer: 2*t**2 + 126853","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.392 + 7.392. Which is the biggest value? (a) -4\/9 (b) o (c) 0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 345291936 to the nearest integer?\nAnswer: 18582","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the third derivative of -z**4\/24 + 11*z**3\/6 - 2*z**2 + 288. What is v(7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 * 205\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) -2 (c) 0.5 (d) 2 (e) 2\/5 (f) -24\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 214.790787 to 0 decimal places.\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 15.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 44423 + -44421.299872. Let x = j + -1.7. What is x rounded to five dps?\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 23 and 267467.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 266 = 26*u, -3*y + 8 = y + y - 7*u + 25 + 38 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6433907 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 1174 = -75*g + 74*g, 4*g - 4696 = 5*p. Calculate the remainder when 2356 is divided by g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from phzghpgggrggh. Give prob of picking 2 h.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 43520 and 210.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/((9\/3)\/30). Let y be 918 - -6*(-5)\/o. Is 0*(1\/(-2) + 1) + y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 90\/4 + 1\/(-2) is divided by 16?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(2\/9)*s)\/(s\/(s*s**(-4)))*(s*s**(-1\/2))\/(s**0\/s) assuming s is positive.\nAnswer: s**(-5\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 8*j + 415. Let c be 21 + -3 - (-1 + 3). Suppose -t + 2*t = -n + c, 5*n = 0. What is the remainder when q(-46) is divided by t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4805 + -4792. Let g(s) = s**2 - 2*s - 4. Let l be g(-4). What is the remainder when c\/(-5) + 3 - (-192)\/l is divided by 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 68913127?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are 63 and -22 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 14985*t**2. Let a(i) = i**2. What is a(l(n))?\nAnswer: 224550225*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(48) - 5*1*sqrt(3))**2 + 2.\nAnswer: -8*sqrt(3) + 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 4*f - 0*h - 20, f = -5*h - 25. Is -26\/19 >= f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.12602 to 3 decimal places.\nAnswer: 0.126","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 228 and 27.\nAnswer: 2052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -648 - -615 - (-1 + -20)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, m: 1}. Give prob of sequence vm.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**3 - 4*z**2 - 22*z + 12. Let n(j) = -4*j**3 - 20*j**2 + 7. Let g be n(-5). Give d(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(891)*3)**2 + -2.\nAnswer: 8013","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2680 and 232.\nAnswer: 77720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -11413076 to the nearest 1000000.\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2\/9 (b) 0.02 (c) 33 (d) 1 (e) 442\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -650292 divided by 6\nAnswer: -108382","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 193020*w**3 - 2*w**2 - 5*w + 6. Is t(1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-2 + sqrt(15)\/sqrt(3))**2 + sqrt(5) + (-6*(1 + sqrt(320) - sqrt(320)))**2.\nAnswer: -3*sqrt(5) + 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppaa when four letters picked without replacement from {a: 5, y: 1, p: 3}?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, r: 12, k: 3}. Give prob of picking 2 k.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1c3 (base 14) to base 8\nAnswer: -557","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/4*2\/(-5).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 31251894 and 2208?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -120222 - -120100?\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -7961, -15933, -23909, -31889, -39873?\n\"Answer: -2*q**2 - 7966*q + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 70238983 rounded to the nearest one million?\nAnswer: 70000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the second derivative of g**4\/12 - g**3\/3 + g**2\/2 - 4*g. Let o(r) = r. Suppose 5*a = 9 - 24, -5*a = 2*m + 11. Give m*i(f) + 5*o(f).\nAnswer: 2*f**2 + f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 4*f**2 + 12*f + 30. List the prime factors of k(-7).\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.07 - -106.07. Let j = u + -104. Which is the biggest value? (a) -1 (b) j (c) 4 (d) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -15? (a) 0.04 (b) 0.1 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 - -6. Let a(y) = -y**2 + 33*y + 787. Let r be a(49). Let d = -12 + 15. Solve r*i + 9 = -4*c, 2*c - s*i + 5*i + d = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(-3)*(0 + 21). Is z >= -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -20.033 + 0.033. Let b = -13 - z. Let o = b - 6.93. Round o to two dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13\/2 - -17\/14. What is the common denominator of l and 592\/(-144) - (-1)\/3?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -24, -4, 14, 62.\nAnswer: -24, -4, 5, 14, 62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -213945 divided by 6?\nAnswer: -71315\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 5*t - 83 - 52 = 0, 4*b = 2*t + 118. Calculate the highest common factor of 12 and b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 419 - 380. Is 9 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (21070\/(-980))\/((6\/(-2))\/3)*4.\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*(i**(-2\/9)*i)\/i*i)\/i)\/i**1 assuming i is positive.\nAnswer: i**(-2\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -55101 + -5?\nAnswer: -55110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/104 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the first derivative of -32*u**5 - 4*u**3 - 2595*u**2\/2 + 4986. Find the second derivative of z(b) wrt b.\nAnswer: -1920*b**2 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12\/7*c**3 - 9\/7*c + 0*c**4 - 6\/7*c**2 - 3\/7*c**5 + 6\/7 = 0. What is c?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 208, 1003, 2494, 4795, 8020, 12283, 17698?\nAnswer: 24379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**2 - 2424*i + 7299.\nAnswer: -3*(i - 3)*(i + 811)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 62401 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add -5 and -278.\nAnswer: -283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 23 + -14 + 10?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the third derivative of -2*g**2 + 0*g + 1\/6*g**4 + 1\/6*g**3 + 0. Differentiate y(t) with respect to t.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 64, 127, 190, 253, 316, 379?\n\"Answer: 63*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (((-6)\/(-3))\/(-8))\/(1\/(-20)). Let h be ((-140)\/6 + 1)\/(d\/15). Let g = h - -73. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -101, -218, -357, -530, -749, -1026, -1373?\nAnswer: -1802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 36, -55, 0.5, -3?\nAnswer: 36","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1209 a factor of 50938797?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -11.74786553 to three decimal places.\nAnswer: -11.748","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 3*v = 3, -4*v = -4*z - 0*z. Suppose -5*k + z*k = -2. Let y be 0 + (-10 - 2\/k). Round y to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54962 - 54962 + 411484*c**3.\nAnswer: 411484*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 811*y - 827*y = -109120. Is 49 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5994 - 3498. Is j a multiple of 104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(-7)\/(-3 + 10)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b + 4, -3*b + 8*b = 2*q - 9. Suppose 0 = -3*u + 9, -5*i + q*u + 84 = -3*i. Calculate the highest common divisor of i and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -165*v**4 - 987*v**3 - 801*v**2 + 51*v + 30 = 0.\nAnswer: -5, -1, -2\/11, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of c**3*n**2 - 6*c**3*n + 22*c**3 + n**4 wrt n.\nAnswer: 2*c**3*n - 6*c**3 + 4*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 257524717 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -26 - 16 + 165*q - 175*q**5 + 65 - 23 wrt q?\nAnswer: -3500*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 113023112 + -201200?\nAnswer: 112221312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 28803 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 58\/19*m - 2\/19*m**2 - 156\/19.\nAnswer: -2*(m - 26)*(m - 3)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -121203031 (base 4) to base 10.\nAnswer: -104653","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.5, 3, 9\/13, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the second derivative of -1027*h**4\/6 - h**3\/2 - 1639*h**2\/2 + 52*h + 15. Differentiate p(w) wrt w.\nAnswer: -4108*w - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 - -3)*(75\/(-9))\/(-5). Suppose -6 = -4*c + 14. Suppose -o + c = -0*o. Solve a*x = h - 7, -6 + 0 = -o*h - 4*x for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 21\/7 - (-2 + 1 + 2595). Let s = 3754 + t. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g. Let m(u) = -210*u + 7. Let y(r) = -91*r + 4. Let d(a) = -3*m(a) + 5*y(a). Calculate d(s(x)).\nAnswer: -175*x - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 1 - 6)*(5 - 2 - 5)*(124*w - 53*w - 54*w) in the form b*w + s and give b.\nAnswer: 238","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -15*x - 133. Suppose 3*f + 3 = 0, 0 = 6*n - 2*n + 2*f + 38. Let s be j(n). Factor -200\/3 - 2\/3*w**3 - 160\/3*w + 38\/3*w**s.\nAnswer: -2*(w - 10)**2*(w + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 183062 not equal to 183069?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3311 and 44.\nAnswer: 13244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -56411 (base 7) in base 9?\nAnswer: -21512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 7*z + 23. Let v be s(4). Let k = v - 48. Solve 0 = -5*p - 4*h - 10, 5*p + k*h = p - 8 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 477, 158, 0.2, -108?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*z**5\/2 - 213*z**4\/2 + 765*z**3 - 555*z**2 - 1533*z\/2 + 1323\/2 = 0. What is z?\nAnswer: -1, 1, 7, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 4*p - 5*x = 7, 5*x - 20 = 5*p. Let b(z) = 2*z**2 + 5*z + 3. Let c be b(p). Solve 0 = -0*i + 2*i - 2*r + c, -5*i = -2*r + 6 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -35.677 - 2.163. Let u = z + 189.74. Round u to the nearest 10.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9049 - 6007 = -1882*q for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*l**2 - 136883 + 136883.\nAnswer: -9*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 - p**2 - p + 4. Let q be m(0). What are the prime factors of (q\/10)\/((-1)\/(-25))?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -21*c**2 + 24*c - 24. Suppose 4*p + 49 = 53, -2*p + 362 = -3*n. Let q(o) = o**2 - o + 1. Determine n*q(u) - 5*i(u).\nAnswer: -15*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**3 - 43*k**2 - 96*k + 298. List the prime factors of f(-41).\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 8*m - 37. Give a(6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-20)\/280*2*2. Let p = 0.1 + -0.1. What is the nearest to v in 0.3, p, -2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-55)\/(-66))\/((-1)\/(-6)). Which is the third biggest value? (a) 8 (b) r (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 127605 and 200220.\nAnswer: 705","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.635 or -919?\nAnswer: -0.635","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(78)*3)\/(-3*sqrt(6)*-2).\nAnswer: -sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 619693787.\nAnswer: 67, 9249161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26\/(-221)*(-7740)\/(-2064)*(-2)\/3*1.\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-182)\/(-117))\/(-14)*(-2)\/(-2).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1802648021?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 - 0) + (0 - -1). Suppose -3*d - 25 = a*d. Let c(i) = -i**3 - 4*i**2 + 6*i + 3. Calculate c(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -186 and 0.3.\nAnswer: -55.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dtmyyzmmmxdz. Give prob of picking 1 d and 1 m.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 6446 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11.69 - 0.31. Let x = 12.32 + y. Let g = x - -0.08. Which is the nearest to 1? (a) g (b) 0.3 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3561*k - 3558*k + 9*f = -117, k - 1 = 5*f for k.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * -2529\nAnswer: -252.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -74*((-4)\/(-2))\/4. Let d = 91 + y. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.046 - 3.546. Sort f, -9\/8, 2\/7, 0.\nAnswer: -9\/8, f, 0, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**2 + 457*a - 5632. Give w(12).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**2 + h + 5. Let z be i(-5). Suppose 2*t - 7 = -t + 2*k, -5*t - 4*k - z = 0. Let d = 0.2 - 0.1. What is the biggest value in t, 0.3, d?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 21856 - 21788. Solve 8*o - b = -9*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -29, -62, -129, -242, -413, -654, -977, -1394?\n\"Answer: -2*r**3 - 5*r**2 - 4*r - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*c**3 + c + c + 28*c**3 - c in the form d*c**2 + a + h*c + s*c**3 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 - 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22 + 3*f**2 - 76*f + 20 + 3 to i + v*f**2 + b*f and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1076 or -26926\/25?\nAnswer: -1076","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/63? (a) -1\/11 (b) 4\/9 (c) 0.2 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5633aa (base 11) to base 4.\nAnswer: -3123020221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 - 10 - 3*f)*(69*f**2 + 74*f**2 - 67*f**2).\nAnswer: -228*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 3*u**2 + 36*u - 5973. Give k(39).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/55 and 43\/890.\nAnswer: 9790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the first derivative of -9\/2*a**3 - 3*a - 6 + 7\/4*a**4 + 3*a**2. Let q(w) be the first derivative of f(w). Suppose q(m) = 0. Calculate m.\nAnswer: 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -257 + 254 + (-3 - -2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = b + 35. What are the prime factors of b*1*-1 + 3?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.11 + 0.03. Let r = z + 0.05. Let t = r + -1.97. Which is the biggest value? (a) -0.1 (b) 5 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50 = 2*l - 58 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/178128 and 113\/111330.\nAnswer: 890640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1503*d = -4*n + 1502*d - 3, -4*n - 2*d = -2 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**9)**(5\/2))**50 assuming s is positive.\nAnswer: s**1125","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 3*a = -10, -21*z + 3*a + 7 = -20*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 757.6687 millilitres?\nAnswer: 0.7576687","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 372*b**2 - 26*b + 140*b - 115*b.\nAnswer: 372*b**2 - b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 114*l + 56. Let c be v(6). Let x = c - 18. Round x to the nearest one hundred.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s + 3*s + 13 = -5, 11 = 5*k + 9*s - 11*s for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2\/5))**(2\/35)\/(f**(-1\/3))**27 assuming f is positive.\nAnswer: f**(1571\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 45\/4 of a kilogram?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 154399?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 7474 a multiple of 74?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -16*d. Suppose 10 = 2*y + 2*v, -2*v = y + v - 11. Let l be (-18)\/(-15)*(3\/y + 1). Let x(w) = 3*w - 5*w + l*w**2 + 2*w. Determine x(j(a)).\nAnswer: 768*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.61 and 1.1.\nAnswer: -2.871","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 2*l + 154 = 3*q, -3*q + 230 = -2*l. What is the tens digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1793092326?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**2 + 9*s + 111. Is 4 a factor of i(24)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-5)\/20 + (-10)\/(-8) + 1. Suppose -p*y - 172 = -2*q, -2*q + 166 = 5*y - y. Is q a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - 8 = 4*r, 9*r = -4*z + 4*r + 26 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -173*k + 24*k - 2086 for k.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1021220 (base 3) to base 13.\nAnswer: -576","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b - 1. Let c = 11 - 10. Let t(x) = 186 - 97 - 5*x - 91. What is c*t(g) - 3*h(g)?\nAnswer: -2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 534*d - 2685382 + 432970. Is 74 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*c + 34*c = -23*c - 272. Calculate the greatest common factor of 3621 and c.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**4 + 13*i**3 + 14*i**2.\nAnswer: -i**2*(i - 14)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*n**3 + 22*n**3 - 41*n**3.\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -98.36 - -97.98. Put 1\/6, 2, n in descending order.\nAnswer: 2, 1\/6, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:26 AM and 8:52 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002579488 to 5 decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 58919292, 58919308, 58919324, 58919340, 58919356?\nAnswer: 58919372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -7 + -180055?\nAnswer: -180062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-23 - (-4 + -6)) + -5.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 2*s**2 - 7*s + 1. Let y(m) = -6*m**2 + 47*m - 2. Give -2*x(g) - y(g).\nAnswer: 2*g**2 - 33*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 - 3.2. Let d = -1\/2998 - 11983\/26982. Let y = 0.04 - 0.44. Sort y, k, d.\nAnswer: d, y, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*(-12)\/(-12)*(-1328)\/83?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the first derivative of 5*f**3\/3 - 10*f**2 + 15*f + 124. Determine t, given that g(t) = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m + 1. Let t(h) = -h**2 - 12*h + 15. Let i be t(-12). Suppose -5*d - 3*y = -y - 3, -3*y + i = -3*d. What is z(d)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -58*n**2 - 47*n + 130. Let u be o(16). Let s = -6849 - u. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10111000010001100110111 (base 2) to base 14.\nAnswer: -b327b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 257 - 257.3. What is the nearest to -2 in -4, -1, q, 2\/31?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/2 + 3*-1275. Let w = o + 23009\/6. What is the common denominator of w and 50\/7?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -2*k**2 + 0*k**2 + 2*k + 3*k**2. Let q be j(-3). Solve -4*v - 2*i - 6 = -0*i, q*i + 16 = v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 k when two letters picked without replacement from {z: 3, s: 1, k: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7850.\nAnswer: 2, 5, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 97.10432 minutes to nanoseconds.\nAnswer: 5826259200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20)\/(sqrt(10)*2)*6 + (sqrt(64)\/sqrt(2))**2 + (-3*sqrt(18))**2.\nAnswer: 3*sqrt(2) + 194","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 60908 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -35213 (base 6) to base 7.\nAnswer: -20502","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32 + 2*a + 9 - 41.\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1928104?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0\/((-3)\/3) + -6. Let m = 18 - a. Is m a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -6043 - 36?\nAnswer: -6101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -135907.34 to the nearest ten thousand.\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 + -1. Suppose -p*b + 10 = -0*b. Calculate the remainder when 2 is divided by b.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y - k + 19, 5*y - 5 - 13 = -2*k. Suppose -y*o - 37 = -5*m, -3*m = -2*m + o - 2. Solve m*l = -7 + 2 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*p**5\/8 + 12117*p**4\/8 - 72621*p**3\/8 + 108903*p**2\/8 - 12099*p\/2 = 0. Calculate p.\nAnswer: 0, 1, 4, 4033","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 0.1, 4805, 0.5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 2*p - 3. Let v be -2 + (-2 + 1)*1. Let r(w) = -6*w + 10. Let h(n) = v*r(n) - 10*x(n). Let c(t) = 251 - 362 + 111 - 6*t + 15*t + 8*t. Give c(h(l)).\nAnswer: -34*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2621906 is divided by 386?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0378975 rounded to 2 dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the second derivative of w**3\/6 + w. Let h be (70\/6)\/(175\/105). What is q(h)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is a + 2800bb?\nAnswer: 2800c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-75)\/(-2)*(-58)\/(-145).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001561463 to seven decimal places.\nAnswer: 0.0000156","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1019147?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (39 - 39)\/(1 - 1 - -2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/(-7) + (-24160)\/42. Let u = c + 558. Calculate the common denominator of u and 11\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, 11, -0.3, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -518 - 263\nAnswer: -781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -17605 and -3.\nAnswer: 52815","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 + -18. Let w = 11.00016 + p. Round w to 4 dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -5*a + 1045, -4*a - 5*q + 1015 = a. What is the remainder when (-7)\/((-28)\/a) + -3 is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1508*-41\nAnswer: 61828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -189 = -8217*m + 8208*m. Calculate the remainder when 22 is divided by m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 296*b + 1674. What is the remainder when v(-3) is divided by 366?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 24 = -32. What is the remainder when 39 is divided by q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -40, -39, -36, -31, -24, -15?\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1881897480 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 64 + -155430?\nAnswer: -155333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 2*t - 6 = -2*t, -4*j - 3*t + 12 = 0. Let v(g) = -3*g - g + j*g. Let n(f) = 2*f - 3. Let r(z) = 1. Let w(l) = 2*n(l) + 6*r(l). Give w(v(c)).\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a + 2*a - 6*a)*(-1 - a + 1)*(3 + 0 - 5)*(-5 + 5 + a).\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6190 and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from auazaaazuzzaa. Give prob of picking 1 z, 2 u, and 1 a.\nAnswer: 28\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q**2 + 2*q**2 + 0*q**2 + 3*q)*((-20 - 18 + 32)*(1 + 5 - 4) + 3 - 7 + 3).\nAnswer: -52*q**2 - 39*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + f + 44 = 0, 2*f = 4*p + 7*f - 41. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -2 + 2*a**2 + 2. Let s(t) be the second derivative of -t**4\/6 + t + 44. Give s(r(j)).\nAnswer: -8*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1280000 rounded to the nearest one million?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -235, -205, -163, -103, -19, 95, 245?\n\"Answer: w**3 + 23*w - 259","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -77066, 103, 5, 0, 1 in decreasing order.\nAnswer: 103, 5, 1, 0, -3, -77066","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4335982 by -619426.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 849*p**4 - 851*p**4 - p - 65 + p + 39*p**2 wrt p.\nAnswer: -8*p**3 + 78*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -19*z**3 + z**2 - 55*z - 25. Let m be r(-5). Put m, -2, 5 in increasing order.\nAnswer: -2, 5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(605) + -4)**2.\nAnswer: 264*sqrt(5) + 5461","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are -38 and 187066\/9 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -388, -3150, -10636, -25204, -49212, -85018, -134980?\nAnswer: -201456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.17? (a) 5\/7 (b) 0 (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 <= -16766241\/26?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*r**2 - 251*r - 255*r + 737*r - 231*r.\nAnswer: -7*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1106 and 378.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 164, 259, 316, 329, 292, 199?\n\"Answer: -d**3 - 13*d**2 + 141*d + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*(y\/y**1*y)\/y)**(-29)*(y*y\/(y**(1\/3)*y))**(-4\/5)*((y**(2\/7))**35)**(-39) assuming y is positive.\nAnswer: y**(-6293\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*-1 + 99\/117?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 + 6. Suppose g*z + 3*z - 20 = 0. Let v(a) = -a**3 - 15*a**2 - 12*a + 30. Let c be v(-14). Which is bigger: c or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.01 (b) 1.88 (c) 118 (d) -5 (e) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -283 - -282.8837. Round o to 1 decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t**4 + 1058*t**3 + 36360*t**2 + 277056*t = 0.\nAnswer: -39\/2, -12, 0, 296","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**2 + 6*v - 7. Let u be n(-7). Let o(c) = c**2 - c + 48. Let f be o(u). Suppose -3*i + f = -54. Is i a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -3*p + 7. Let z = 1195 + -1201. Give c(z).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 346*o - 668 = 342*o - 220. Calculate the greatest common divisor of 28 and o.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 684 is divided by 224.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2, -66 in decreasing order.\nAnswer: -2, -5, -66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the second derivative of -1\/4*b**2 - 1\/20*b**5 - 5*b + 1\/20*b**6 + 0 + 1\/4*b**3 - 1\/12*b**4 - 1\/84*b**7. Let y(a) = 0. What is a?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 25*b**2*o**3*w + 11*b**2*o**3 + b**2*o**2 - 1805973*b**2*o*w - 60*b**2*o - o**2 + 7*o - 19 wrt w.\nAnswer: 25*b**2*o**3 - 1805973*b**2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxou when four letters picked without replacement from odooxxuddd?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*(o*o**(-5\/3))\/o*o**(-3\/7) assuming o is positive.\nAnswer: o**(-23\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 14*u - 16 + 16 + (5 + 2 - 4)*(2 - 2 - u).\nAnswer: 11*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11.97134ml to litres.\nAnswer: 0.01197134","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -44, -19, 8, 3, -1, 9 in decreasing order.\nAnswer: 9, 8, 3, -1, -19, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/27070 and 73\/232996904.\nAnswer: 1164984520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 124379 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -39 - -3. Let b be (-8)\/x - 232\/(-9). Let f(r) = r**3 + 13*r**2 - 2*r. Let g be f(-13). Calculate the highest common factor of b and g.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6042 - 7814. Does -1771 = m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1302520 is divided by 7894.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is 985388.5 kilograms in nanograms?\nAnswer: 985388500000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 42 - 3)*(3*b + 3*b + 11*b) to u + s*b and give s.\nAnswer: 697","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 + -16a?\nAnswer: -171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 241450 is divided by 706.\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 153, 307, 461, 615, 769, 923?\nAnswer: 1077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*r = -41*r + 95 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -2 + 12*t**3 - 13*t**3 + 13*t**2 + 6. Let w be p(13). Solve 5*s - l = -w, -s - 4*l + 11 = -5 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10.2 - -35.8. Let o = 46.4 - n. What is the fourth smallest value in -10, -5, o, -0.5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 76 + -357. Let m = r - -280.879. Round m to 2 decimal places.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81*t - 78*t = 9 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1298888819 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 107476030 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -251 + 253. Suppose 5*u + 37 = 3*x, 3*u = -4*x + 5*x - 19. Suppose -r + x*v + t = 0, r - 16 = -r + 4*v. What are the prime factors of r?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 + -1013222?\nAnswer: -1013223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11 + -12. Let h(a) = -3*a**2 - 3*a - 1. Let j be h(q). Does 15 divide -1*(-57 + -1 + j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/1792186 and 113\/10.\nAnswer: 8960930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 - 15*p**2 + 6*p**2.\nAnswer: -9*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q - 4*n + 8, 5*q - 3*n + n = -18. What is the remainder when 38 is divided by q\/(-10) - 196\/(-10)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 + -10.8. Let j = -0.79999988 - p. Round j to 7 dps.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15391948 divided by -699634\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 190 and 1392.\nAnswer: 132240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {g: 2, c: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 20 = -12 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-4))\/(1\/2)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.4 (b) 0.5 (c) -19 (d) 13 (e) -2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.8 take away -0.7?\nAnswer: -12.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -38*t**3 + 30567*t**2*w**2 + 526*t*w**2 - t + 2*w**2 + 6*w + 8 wrt t?\nAnswer: -228*t + 61134*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 26493728 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -55\/519?\nAnswer: -55\/519","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 16\/6 + 476\/(-70)\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z + 2 - 6. Let k = z + 7. What is the remainder when 23 is divided by k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2828579565?\nAnswer: 3, 5, 7, 151, 178403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - r**2 + 581*r**3 - 163*r**3 + 3.\nAnswer: 418*r**3 - r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -4044 (base 8) in base 2?\nAnswer: -100000100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 352 + 211200?\nAnswer: 211552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(448)\/((-1*sqrt(80))\/sqrt(10)))\/((sqrt(2352) + sqrt(2352)*1)\/(-6*(sqrt(150) + sqrt(6)))))**2.\nAnswer: 5184\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 138 and 768.\nAnswer: 17664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13 + -8. What is the units digit of 1 - c\/(5\/(-2))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -1 (b) 2.606 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15 + 19. Suppose 0 = -5*x - 0*x + 85. Suppose -o*j = -3*j - x. Does 17 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -33055 + 1045242?\nAnswer: 1012143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -2*f**4\/7 - 4*f**3 + 78*f**2\/7 + 792*f\/7 + 1080\/7 = 0?\nAnswer: -15, -3, -2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*j + 11*j - 38 = 0. Let v be 4\/(-38) - (-606)\/j. What is the units digit of v\/(-10)*350\/20?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + (7 + 4 - 9)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 4*h**2 + h - 10. Does 12 divide d(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 394579 is divided by 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 186 divide 1104917?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.06 times 0.0439241\nAnswer: 0.002635446","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:52 AM and 10:12 AM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11451 - -19086. List the prime factors of r.\nAnswer: 3, 5, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 2*f**2 - 27*f + 138. Let t be g(9). Calculate the highest common divisor of 3819 and t.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i - 12*i + 648. Suppose -3*n + 432 = -3*t, -801 + i = -5*n + 2*t. What is the highest common divisor of 21 and n?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.1 or 1426791384?\nAnswer: 1426791384","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 9, y: 2}. What is prob of picking 3 q?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1096185 a multiple of 2174?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2\/4253 - -21251\/29771. Which is the second biggest value? (a) 3 (b) h (c) 0 (d) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 964 + 2*w**3 - 964 + 0*w**3 + 281*w**2 in the form j*w + n*w**3 + o*w**2 + k and give o.\nAnswer: 281","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 55528 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64 is divided by 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 21096 divided by -7032\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -32*l - 2. Suppose 3*w + 5 = -5*j, -2*j + 0*j - 4*w - 2 = 0. What are the prime factors of k(j)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -3 (b) -110112 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Do 2 and -32650318 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1145 divided by -15001.\nAnswer: 1145\/15001","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3.9, 21069, -48 in descending order.\nAnswer: 21069, -3.9, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 40 and -8 - 32500\/(-75) - 2\/6.\nAnswer: 3400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 97.1257 + 0.0743. Let n = j - 97.19998314. Round n to six dps.\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*k = -5*k - 4488. Is 135 bigger than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.4583101 to three decimal places.\nAnswer: -1.458","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 122 divide 3821323?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 117\/((-15561)\/(-532))*(-3)\/1398\nAnswer: -2\/233","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 641*b + 5 = 636*b, 2*t + 2*b = 14 - 8 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 157 divide 4130506?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -32*((-84)\/441*-3)\/(26\/91)\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 59658?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3\/5)\/((-2)\/(-10)). Suppose s - 4*j = 27, 0 = -0*s + h*s + 4*j - 17. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 - 2)*(282*d - 598*d + 281*d).\nAnswer: 35*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the third derivative of n**6\/40 - n**5\/60 + n**4\/24 + n**3\/6 - 2*n**2. Let v be b(-1). Are -2 and v equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 14\/1026675 and -14\/5655.\nAnswer: 29773575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*i = 97226 - 73362 + 144634. Is i a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r = u - 3, -4*u + 171*r = 168*r - 12 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3812521 nanometers to kilometers.\nAnswer: 0.0000000000003812521","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 241.2 - 241. Let h = -1 - 1. Let p be (1 + 0)*(-1)\/h. What is the smallest value in 2\/3, p, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 33*d**3 - 7*d**2 + 103. Let i(v) = 22*v**3 - 5*v**2 + 15 + 95*v + 54 - 95*v. Let k(r) = -5*a(r) + 7*i(r). Find the first derivative of k(l) wrt l.\nAnswer: -33*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*y**2 - 9*y**2 - 6*y**2.\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -1628*v + 31401. What is i(20)?\nAnswer: -1159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1817 - -1817. Solve 13*x + 19 + 20 = r for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:50 PM and 4:33 AM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 34, 52, 82, 130, 202, 304, 442?\n\"Answer: h**3 + 11*h + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 82, 1, -2, 2337 in decreasing order.\nAnswer: 2337, 82, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -233 (base 5) to base 15.\nAnswer: -48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -810 = 214*b + 281*b + 2655 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -6*o**3 - 25*o + 11. List the prime factors of i(-7).\nAnswer: 2, 3, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 56*x + 2. Let c be v(1). Let q = c - 53. Find s such that 6*s**q - 38*s**3 - 2*s**5 + 5*s**2 + 43*s**2 - 8*s**4 - 6*s**3 + 144*s = 0.\nAnswer: -2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -433 + 931. Suppose -k = -3*k + c. Suppose k - 29 = 4*a. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-4)\/2400)\/((-23312)\/94860 - (-4)\/18). Are d and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -77664504 (base 8) in base 3?\nAnswer: -1011111102002012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 5 + 2 = 2*o, -3*o = -5*w - 21. Suppose -o*c - 75 = -7*c. Solve -r = 4*r + c for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 9\/10 of a kilometer?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2201760, 4403557, 6605354, 8807151?\n\"Answer: 2201797*t - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5324.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -8*(-2)\/(-2)*(-212)\/424\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 23 - 21. Solve -5*d + c*d = -12 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2904615kg in micrograms?\nAnswer: 290461500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 = -4*t - t. Let y be 492\/t + (-6)\/8. Solve 0 = 3*x - 5*v - 5 + 45, -3*v = -3*x - y for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -5*b - 0*b. Suppose d - 46 = -b. Does 11 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes after 5:08 AM?\nAnswer: 6:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -2*k - 5 + 1 + 8 + 6*k. Let j(b) = 10*b + 10. Give -12*h(a) + 5*j(a).\nAnswer: 2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f - q + 2659, -4*q + 3 + 13 = 0. What are the prime factors of f?\nAnswer: 3, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -27833 (base 9) to base 16\nAnswer: -49d7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.3798044 take away 4?\nAnswer: 0.3798044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12 + 27. Let t be (-3 - -7) + b + -18. Solve -4*x = t - 5 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + (3 + sqrt(425)*-1 + 5)*2 + -4)*2 + -4)**2.\nAnswer: -1200*sqrt(17) + 7700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1255421 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(144) - 2*sqrt(144))*4)\/((1*sqrt(1728) - sqrt(1728)) + sqrt(1728)))**2.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1254?\nAnswer: 2, 3, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 3432 divide 845164320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 404 = -689. What is the remainder when u is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -100 divided by -5.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + 5. Let y = v + -10. Put 0.3, 2, y in descending order.\nAnswer: 2, 0.3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the second derivative of 17\/80*z**5 + 30*z + 0 - 15\/8*z**4 + 27*z**2 + 9\/2*z**3 - 1\/120*z**6. Factor x(k).\nAnswer: -(k - 6)**3*(k + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1230)\/(-310) + 4*-1. Which is smaller: t or 1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**2 + 3*a + 1. Let q be y(4). What is the units digit of -3 + (q - (3 - 14))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 5031, 5016, 4975, 4896, 4767, 4576, 4311?\n\"Answer: -2*d**3 - d**2 + 2*d + 5032","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from invnizhjjivvj. Give prob of picking 2 v and 1 h.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -576900 rounded to the nearest ten thousand?\nAnswer: -580000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the first derivative of 3\/20*x**5 + 0*x**2 + 125 - 1\/4*x**3 + 1\/8*x**6 - 3\/16*x**4 + 0*x. Suppose y(c) = 0. What is c?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g and 1 m when four letters picked without replacement from mgkmgmg?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -482*h**3\/17 - 20*h**2\/17 + 482*h\/17 + 20\/17 = 0. What is h?\nAnswer: -1, -10\/241, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 945693 and 315231.\nAnswer: 945693","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 1)*(3*j - 4*j + 3*j) - 2*j + j - j + (2*j - 3 + 3)*(6 + 0 - 4) + 17*j + 29*j - 14*j.\nAnswer: 36*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/73 in -5, -3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 2*w. Let g(z) be the third derivative of z**7\/840 + z**4\/24 - 3*z**2. Let p(l) be the second derivative of g(l). Determine p(h(k)).\nAnswer: 12*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 11 + 35 = 0. Solve 2*t + 6 = 0, t + i = c + 1 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*v + 48 - 6 = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in 2\/13, 102, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -13*c - 492. Determine p(-37).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(475) + 2*((sqrt(475) - (3 + sqrt(475))) + sqrt(475) + sqrt(475) - sqrt(475)))**2 - sqrt(475).\nAnswer: -185*sqrt(19) + 4311","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gyg when three letters picked without replacement from yyygyygyyyyyyyyyyygy.\nAnswer: 17\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 7, 2, -7.\nAnswer: -7, 2, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, 157, -12, 5 in ascending order.\nAnswer: -12, -2, -1, 5, 157","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 9) to base 2.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 7, 0.43 in increasing order.\nAnswer: -0.3, 0.43, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3185bc - -185?\nAnswer: 318774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g**3\/6 + 82*g**2 - 5738*g\/3 - 14392 = 0. Calculate g.\nAnswer: -514, -6, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1051\/9 - -117. Which is the second biggest value? (a) y (b) -2\/5 (c) 1\/80\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66 + 46 + 55 - 3*t - 35.\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/((-1)\/(-2) - 1). Suppose 4*g - s*k - k - 40 = 0, 50 = 5*g - 2*k. Suppose 2*y - g = 24. Round y to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 4*p - 1. Let q(t) = 2*t**2 + 50*t - 34. Let r(l) = -6*n(l) + q(l). Factor r(o).\nAnswer: 2*(o - 1)*(o + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**3 - g**2 + g + 5. What is w(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2306440.6 + -2656104. Let b = g + 349660.0200538. Let r = b + 3.38. What is r rounded to 5 dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is two fifteenths of a minute in milliseconds?\nAnswer: 8000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5316 divided by -4.\nAnswer: -1329","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 38 + -28. Calculate the greatest common factor of k and 90.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t - 1 + 5. Suppose t*w - 194 = 252. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 614, 5881, 20166, 47975, 93814, 162189, 257606, 384571?\n\"Answer: 751*v**3 + 3*v**2 + v - 141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) -0.5 (c) -0.07 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add -19.1 and -238702.63896.\nAnswer: -238721.73896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 4 = 2*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -3*i + 2*m - 360, -m - 486 = 4*i. Let j = i + 123. Which is smaller: -2\/191 or j?\nAnswer: -2\/191","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7878800 to the nearest one hundred thousand.\nAnswer: 7900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(-3\/13))\/c**13*(c\/((c\/(c*c*c*c*((c*c**(-17))\/c)\/c*c)*c)\/c)*c)\/(c\/c**(-1)) assuming c is positive.\nAnswer: c**(-335\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 7620 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -2*n + 48. Let b be (1 + 0)\/((-6)\/(-18)). Let s = b - n. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 + 105041431?\nAnswer: 105041425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -143 + 239. Suppose 0 = 7*j - 0*j - 56. Calculate the smallest common multiple of j and k.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -3 (b) 1\/8 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 51206 times 4\nAnswer: 204824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 6*a = -8*a. Sort -9, a, -3.\nAnswer: -9, -3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from {h: 1, x: 4, e: 3, s: 11}.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4131) + -5*(sqrt(4131) + 1*sqrt(4131)) + sqrt(4131) - sqrt(4131))\/((sqrt(3) - (sqrt(108) - (sqrt(108) - -2*sqrt(108))) - sqrt(3))*-6).\nAnswer: 9*sqrt(17)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -6*s**2. Let v(g) = 187*g - 743*g + 184*g + 186*g - 70 + 185*g. Determine v(q(l)).\nAnswer: 6*l**2 - 70","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 8*h**3 + 31*h**2 - 18. Calculate j(-5).\nAnswer: -243","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-4)\/10)\/((-4)\/1270) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/(-8)*69184\/138. Suppose 4*v - 10*v = -282. Calculate the highest common factor of u and v.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 567513 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2\/55, 3.66, 0.006, -2\/3?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 11 = -3*j - 9*v, 5*j - 4*v = 31 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4809*x + 9196*x - 4390*x.\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6 - (-1032)\/(-9))\/((200\/288)\/(-25)). Solve -s = -10*u - 3972 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -2. Suppose -5*f + 4 = -6. Let z(j) = j + 5. Determine f*z(v) + 5*l(v).\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*b**4\/5 - 6484*b**3\/5 + 165136*b**2 - 16904172*b\/5 + 479610 = 0.\nAnswer: 1\/7, 25, 219","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 251 is divided by 127.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -1211*x - 3376*x - 1028*x - 1381*x + 753*x as z + d*x and give d.\nAnswer: -6243","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 174, 381, 608, 855, 1122?\nAnswer: 1409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -293683, -293747, -293811, -293875?\n\"Answer: -64*b - 293619","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 16\/(-2) - (-1 - 0). Let h = l + 2. Let g(q) = -2*q - 4. What are the prime factors of g(h)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5 and 9849?\nAnswer: 49245","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 578659931 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -3\/8, 3, -15, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**7)**48*(y*y**25*y*y)\/y**(-6\/11) assuming y is positive.\nAnswer: y**(4010\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4136 is divided by 1001.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/454448904 and -107\/4993944?\nAnswer: 454448904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5)\/(-20) + 309\/(-1332)*1. Let q = -343\/555 + z. What is the second biggest value in 45, q, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -5545984, -5545967, -5545950, -5545933?\n\"Answer: 17*a - 5546001","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 16*v + 51. What is the units digit of q(7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -2*i - 6. Let x be o(-6). Let u(g) be the third derivative of -g**5\/60 + g**4\/8 + 7*g**3\/3 - 7*g**2 + 16*g + 1. Give u(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2339 is divided by 470.\nAnswer: 459","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sum 5337165 and -307035.\nAnswer: 5030130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-14)\/(-21))\/(-2 - 0). Which is the second smallest value? (a) d (b) 0.2 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the second derivative of j**3\/6 + 23*j**2\/2 + 5*j. What is the units digit of d(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 491 divided by 491\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, u: 2, o: 1, r: 1, p: 1, w: 1}. What is prob of sequence up?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2850, -8273, -17316, -29979, -46262?\n\"Answer: -1810*z**2 + 7*z - 1047","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 6\/19, 4, 71, -2\/11 in decreasing order.\nAnswer: 71, 4, 6\/19, 0, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 27811 or 27855?\nAnswer: 27855","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -11 and -280.\nAnswer: 3080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -5675*h**3 + 6*h**2 + 30*h - 7. Let o(q) = -28374*q**3 + 29*q**2 + 145*q - 34. Calculate -6*o(a) + 29*s(a).\nAnswer: 5669*a**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*m**3 + 6*m**3 - 10*m**3 + 2*m**2 + 2*m + 0*m**3 to n*m**2 + h*m + x*m**3 + r and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*q + 9249 = 172*q + 369 for q.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -26\/11715 and 19\/1491.\nAnswer: 82005","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -31*h**2 + 12*h**2 + 18*h**2. Let k(f) = 6*f**2. Calculate k(o(q)).\nAnswer: 6*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:36 PM and 4:19 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4.5 (b) 57600 (c) -0.2 (d) 4 (e) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**3 + 4*w**2 - 8*w - 1. Let z be l(-4). Are z and 25 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g\/(g\/(g\/g**(-15)*g))*g)**49)**2 assuming g is positive.\nAnswer: g**1862","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-906)\/180 - (-185)\/37\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*g**2 + 4*g**2 - 6*g**2 as t + f*g**2 + q*g and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 72 - 358\/5. Sort 1\/10, 5, t in increasing order.\nAnswer: 1\/10, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + 5 = -1. Let i(y) = 4*y**2 + y. Let x be i(f). Let m = -2 + 4. What is the nearest to -2\/11 in m, x, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 326660154.999923 + -326660336. Let f = 181 + q. Round f to five dps.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -7*c**2 + 2*c - 1. Let d be z(1). Let f(g) = 0*g**3 - 6*g**2 - g**3 + 0*g - 8 - 2*g. Let n be f(d). Solve -1 - n = p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**2 - 38*h + 109. Let f be q(35). Solve 0 = -f*a - 43 + 35 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2748932323 to the nearest integer?\nAnswer: 52430","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 3 - (13 + (2 - (-9 - -18)))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4572 (base 10) to base 4.\nAnswer: 1013130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 59600 and 4864850.\nAnswer: 38918800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 6*a - 197. Let m(l) = 6*l - 243. Let y(i) = -4*m(i) + 5*z(i). Let h(p) = 13*p - 26. Calculate 4*h(w) - 9*y(w).\nAnswer: -2*w + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 36951961159 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.037 (b) 1 (c) -0.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -6*n + 587. Let t(i) = -2*i + 197. Calculate -6*g(p) + 17*t(p).\nAnswer: 2*p - 173","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 475509719 divided by 6.\nAnswer: 475509719\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 3\/2*a**2 - 72*a - 147\/2 = 0. What is a?\nAnswer: -1, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 36 - -133. Suppose -2*u + b = -305. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -2*d + 81. Let v be g(39). Suppose 4*u - 858 = v*o, u - o - 22 = 192. What is the highest common factor of 8 and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the first derivative of -f**4\/4 + 7*f**3\/3 - 3*f**2 - 2*f + 4. Let z be x(6). Sort 3, z, -5 in ascending order.\nAnswer: -5, z, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the third derivative of -o**6\/120 - o**5\/30 + o**3\/6 + o**2. Let h be s(-1). Suppose 0 = -5*q - h*q + 200. Does 15 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 273 - 768. Let c = m + 500. Solve c*n + 4 - 9 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5160 is divided by 126.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Do -3\/1565 and -1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 5 (b) 4 (c) -871 (d) 2\/17 (e) -2 (f) 0.5 (g) -13\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 + 13. Is 178\/6*15\/s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/5? (a) 0.2 (b) -5\/4 (c) 31\/5 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:08 AM and 11:51 AM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -9*f - 4. Let c be m(-1). Is 0.6 at least c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -6*d + 9. What is the remainder when 35 is divided by d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15 and 3840.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 38 and 44251?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 47839325 divided by 9567865\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3.4 and 338?\nAnswer: -1149.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 62548393 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 108031, 216058, 324085, 432112, 540139, 648166?\n\"Answer: 108027*b + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 12\/(-376)*(-8)\/6. Suppose -146*s + 124 = -102 + 80. Which is smaller: a or s?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 + -2002?\nAnswer: -2021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9585*m - 1 = -9588*m - 4*x, 3 = 3*x for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*o - 5512*o**2 + 0*o - 6239*o**2 + 11762*o**2.\nAnswer: 11*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22147?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7712065?\nAnswer: 5, 1063, 1451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -50*t + 136*t - 423 - 7. Suppose 5*x - 5 = -i, i = -x - 3*x + 5. Solve 10 = -i*d - t for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 258*v**3 + 2202*v**2 - 2205*v**2 - 518*v**3 + (-2*v**2 + 0*v**2 + v**2)*(0 + 0 + 6*v) + 4*v**2 - 2*v**3 - 4*v**2 - 3*v**3 - 2*v**3 + 3*v**3.\nAnswer: -270*v**3 - 3*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -40*q - 2445. Calculate g(-61).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 - 16*14070\/(-12096).\nAnswer: -7\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 12*o**2 + 17*o**2 + 19*o**2 - 47*o**2. Let r(a) be the third derivative of 11*a**4\/8 + 5*a**2. Give q(r(i)).\nAnswer: 1089*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 35192*j**3*k**2 - 83*j**3*k - k**2 + 73694*k + 18 wrt j?\nAnswer: 105576*j**2*k**2 - 249*j**2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m + q - 45895, -774*q = -2*m - 773*q + 45901. Calculate the highest common factor of m and 53.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 - (417\/1)\/(-1). Suppose -11*h + 222 + 350 = 0. Calculate the highest common factor of h and m.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 338 - 5405\/16. Do 1 and a have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 46175043 by -46175043.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**3 + 68*n**2 + 66*n - 78. Determine b(-67).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 340430685 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 6*-1*(sqrt(405) + 2 + 1*sqrt(405) + 2))**2.\nAnswer: 5616*sqrt(5) + 58996","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 169298?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e when three letters picked without replacement from {e: 3}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -95*v + 264*v - 129*v**3 - 65894759*v**4 + 819*v**2 + 65894764*v**4 = 0.\nAnswer: -1\/5, 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**6*s*s\/s**(1\/11)*(s**(-6))**(-32) assuming s is positive.\nAnswer: s**(2199\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2216033 and 2519.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/6*280\/2240?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -42.3 - -41. Let d = 1.6 + t. Put d, -0.06, 4 in increasing order.\nAnswer: -0.06, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 20*a - 9*a - 814. Let w = 83 - a. Solve -w = -4*o + 7*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 - (0 - (-104)\/(-42)). Let s = u + -15\/7. What is the closest to -2\/9 in s, -5, 3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 116, 540, 1266, 2300, 3648, 5316?\n\"Answer: n**3 + 145*n**2 - 18*n - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2175 and 759945.\nAnswer: 435","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**2 - 201*i - 5528. What is r(-156)?\nAnswer: 1492","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 2304*o - 29949. Let q be l(13). Factor 5\/2*p**2 - p**q + 2 + 11\/2*p.\nAnswer: -(p - 4)*(p + 1)*(2*p + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*l - 6. Solve -d - 2*q = -0*q + 2, -l*q - 3 = 2*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-552)\/(-120)*1)\/(20\/(-25))?\nAnswer: -23\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 50820 to the nearest integer?\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*y**2 + 21*y**2 - 8*y**2 - 6*y**2.\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 + 1)\/((-8)\/(-12)). Find the third derivative of 3*p**3 + 3*p**3 - y*p**2 - 5*p**3 wrt p.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 4*a + 2. Let m(l) = -16*l - 9. Let t(x) = -x**3 + 7*x**2 - 8*x + 16. Let n be t(6). Determine n*m(y) + 18*v(y).\nAnswer: 8*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a (base 13) to base 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/117055 and 10\/287.\nAnswer: 819385","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-60)\/16*20\/15.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/17854 and 5\/32657.\nAnswer: 5159806","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 248\/(-310) + ((-88)\/10)\/4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 2*a**3 + 105*a**2 - 55*a - 40. What is j(-53)?\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*y, -5*y - 6 = 4*a + 9. Let i be (a - -29)\/(-1 - -3). Suppose -i*u - 60 = -15*u. Is 5 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1151)\/115100*40\/(-18).\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -46*m**3 - 25575*m**2 + 499*m - 31669. What is f(-556)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 16*h + 3. Let c be z(3). Suppose 4*s = b - c, 4*s = 4*b - 0*s - 168. Calculate the greatest common divisor of 39 and b.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.2272 - -344.0872. Round h to the nearest integer.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -177*l**3 + 78*l**3 + 127*l**3.\nAnswer: 28*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 20 + -11. Let r = 21 - y. Suppose -288 = 3*s - 7*s. What is the greatest common factor of r and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 3*w**2 - 1. Suppose 7*j = 3*x - 0*j - 35, -3*j = -x + 15. Determine g(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*p**2 - p**3 + 413 + 6*p**3 + p**3 - 2*p**3 - 3*p**3 to l + c*p**3 + y*p**2 + d*p and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -161\/3 + 53. Let l = 6 + -4. Which is the nearest to n? (a) 4 (b) 2\/11 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 31 - 19. Let b = 66797 - 66793. Calculate the lowest common multiple of b and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -166\/529 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -11223, -11220, -11215, -11208, -11199, -11188?\n\"Answer: q**2 - 11224","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h when three letters picked without replacement from {t: 14, h: 5}?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 5, m: 7, z: 1, b: 6}. Give prob of picking 1 z and 2 c.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-19 + 112\/4)*1\/(-12).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 359, 352, 333, 296, 235, 144?\n\"Answer: -m**3 + 360","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3 + (2 - 4) + -3 + -2. Sort 1, 12, u in ascending order.\nAnswer: u, 1, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 66*n - 57*n + 307*n - 16748 for n.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 + 1. What is the closest to -0.1 in -3, 4, d?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 1, 0.3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 80*s - 1250 - 510. Calculate the remainder when 1360 is divided by s.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11110 - 11111001001101001?\nAnswer: -11111001001001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 84*o**3 - 428*o**3 + 85*o**3 - 1 + 90*o**3 + 81*o**3 + 90*o**3.\nAnswer: 2*o**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45079*i - 14875 = -44654*i for i.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.98375 to 1 dp.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 28918 divided by -1?\nAnswer: -28918","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 451, -224, 7, 5, 3.\nAnswer: -224, 3, 5, 7, 451","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, f: 1, n: 1}. Give prob of picking 1 n and 1 f.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1057171 + -408956. Let a = h - 1575215. Round a to the nearest 100000.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -82316*h + 44019*h - 99705*h + 4792*h.\nAnswer: -133210*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the third derivative of t**7\/70 + t**6\/20 - 11*t**5\/20 - 3*t**4\/2 - 5977*t**2. Find u such that d(u) = 0.\nAnswer: -4, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -56*b*p - 43294*b - 692*p + 1 wrt p.\nAnswer: -56*b - 692","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*o + 236*o**3 - 4*o - 237*o**3 + 10*o.\nAnswer: -o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 260 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -5*a**2 - 7*a + 34. Let r(c) = 7*c**2 + 6*c - 39. Let p(d) = 3*r(d) + 4*w(d). Give p(8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 59000 and 117400.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(300)\/sqrt(150).\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 49584 and 997878?\nAnswer: 7983024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n - 1. Let h be g(-1). Let x(k) = 0*k + 5*k - 2*k - 2*k + 1. Give x(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the second derivative of -g**4\/16 + 13*g**3\/8 + 45*g**2\/4 - 617*g. Determine f so that b(f) = 0.\nAnswer: -2, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1486*s**5 - 584*s + 1 wrt s?\nAnswer: -29720*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-16)\/(-5))\/(1\/10). Find the common denominator of (-2)\/r*11*-6 and 52\/(-1274) - (-9320)\/(-2156).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the third derivative of 1\/12*f**4 - 13*f**2 - 2*f**3 + 0 + 0*f + 1\/30*f**5. Let z be d(3). Solve -4*p = -p + z for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**3 - 11*z**2 - 18*z + 72.\nAnswer: (z - 12)*(z - 2)*(z + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -143.31 + 140. Let h = c - 0.59. Let u = 4 + h. Put u, -1\/3, 0.5 in ascending order.\nAnswer: -1\/3, u, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 510?\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68 is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 72 + -74. What is the tens digit of (-79 - (-5 - 3))\/(h\/6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 2*s + 88 = 0, 3*s = -3 + 6. Let a = -5 - -17. What is the greatest common divisor of o and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 27642856 and 29110.\nAnswer: 138214280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6178\/60 - (110\/11)\/60. Do u and 103 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38*1\/(-3)*(-234)\/12.\nAnswer: 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s - y - 1030, 0 = 5*s - 4*y - 575 - 1151. What is the remainder when s is divided by 160?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1518*m = -71*m + 2894 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (((-1)\/3)\/(2\/(-10)))\/(125\/300). Sort -8, 2, n, 5, -4 in decreasing order.\nAnswer: 5, n, 2, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*h**2 + 3*h - 3*h + (-4*h**2 + h**2 + 4*h**2)*(2 + 4 - 4) - 61*h**2 - 271*h**2 - 484*h**2.\nAnswer: -812*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/5758 and 31\/17910259.\nAnswer: 35820518","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/21*20\/(28000\/(-11145)). Let o = n + -2\/245. What is f in -3\/4*f + o*f**2 + 1\/4 - 1\/4*f**3 = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zwzwzzzttzzjztjiztzt. What is prob of picking 2 w?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 7551*f + 8*f**2 - 1 - 10793*f + 6508*f.\nAnswer: 8*f**2 - 11836*f - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x = 4*c - 8, 9*x - 11*x + 6*x + 31 = -5*c for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 5*t + 1, -4*t - 10 = -j - 7. Let s(a) = -j*a + 16*a + 5*a**2 + 170*a**3 - 168*a**3. Give s(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3357537, 3357533, 3357529?\n\"Answer: -4*z + 3357541","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12853588?\nAnswer: 2, 11, 26557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -448241*h**2. Let v(r) = 18*r**2. Calculate v(x(m)).\nAnswer: 3616559893458*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 153 divide 69857360?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < 7\/408?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1976 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: Which is the nearest to -2\/3? (a) 2\/65 (b) 4 (c) -3\/2 (d) 20 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzlzlpziilo. Give prob of picking 1 o, 1 i, and 1 p.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -19 + -32. Let q = 48 + v. Which is the smallest value? (a) q (b) 1 (c) 5\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -o**3 - 4*o + 2*o - o + 4*o**3 + 3*o**3 - 2*o - 14*o**3 + (2*o**2 + 8*o**2 - o**2)*(-2 + 2 + 5*o).\nAnswer: 37*o**3 - 5*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/((o**(-1\/3)\/o)\/o))**(9\/8)\/(o**(-8))**(-26) assuming o is positive.\nAnswer: o**(-817\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 590.7 + -590. What is the closest to 0.4 in i, 1\/2, 2\/7?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*f**2\/3 + 17224*f\/3 + 68960\/3.\nAnswer: -4*(f - 4310)*(f + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of (0 - 10\/6) + (-1260075)\/(-477)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeeeeeeee. What is prob of picking 2 e?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -8462 divided by -33\nAnswer: 8462\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*a - 4 = 3*a - 6*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 101 (b) 2\/169 (c) -9 (d) -1 (e) -2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 divided by 599.\nAnswer: -16\/599","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2227 (b) -4\/3 (c) 0.5 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3488526 is divided by 95?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 + 4 + -4 - -1. Let n be (b - -3 - 4)\/(-1). Let j = n - -1. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 102\/4*(-5840)\/(-120). Let f = 2523 - b. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -364, -371, -380, -391?\nAnswer: -404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 20 = -5*l, -4*l - 3*a - 2*a = 25. Suppose -4*p - 3 = -w, l = 5*w - 0*p + 5*p - 65. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the third derivative of 5\/216*m**4 + 1\/540*m**5 + 0*m**3 + 0*m - 1 - 6*m**2. Let i(q) = 0. Calculate q.\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 8595044, 8595045, 8595046?\n\"Answer: i + 8595043","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 1 + 1)*(-6*z + z - 11*z)*(3 + 7 - 2) as l*z + o and give l.\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -17 + -32a2bb5?\nAnswer: -32a3010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1060, 1092, 1126, 1162, 1200?\nAnswer: 1240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kvxuv. What is prob of picking 2 v, 1 u, and 1 k?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -2*b. Let r(w) = 11*w - 353. What is v(r(p))?\nAnswer: -22*p + 706","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/1596 and 70\/27.\nAnswer: 14364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**3 - 15*g**2 + 37*g + 15. What is n(-17)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 197965889 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/7 in 2\/15, -2, 0, 1133, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:51 AM and 9:25 AM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6314680.\nAnswer: 2, 5, 157867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (57\/(-12))\/((-6)\/24) - 7. Let c be v\/5*15\/9. Let p be (-1)\/(-2)*0 - -7. Solve c*l + 5*h - 45 = 0, -2*l - h + 22 = p for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 6*k + 56. Let l be y(-9). Find the third derivative of -694*a + 207*a**l - 90*a**4 + 694*a wrt a.\nAnswer: -2160*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 350 - -636?\nAnswer: 986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 28 + (-6 + 4 - 0). Let m = y + -6. What is the remainder when m is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = j + 5*j. Put -6, j, -2, -4 in ascending order.\nAnswer: -6, -4, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -151 = -2*f + 113. Let w = -86 + f. Suppose -3*t + 11 + w = 0. List the prime factors of t.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6533 equal to 98\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 12916 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: Solve 48*n - 152 - 10319 = -235*n for n.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -43 + -2.8956\nAnswer: -45.8956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**2\/4 - 11237950*y + 126291520202500.\nAnswer: (y - 22475900)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 31 = 5*q, q + 0*w - 2*w = 15. Suppose n - 128 = -q*n. Solve 5*s = -4*j - 0*j + n, 4*j - 16 = 3*s for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -55, 18\/11, 4, -4, -5, -13, 1.\nAnswer: -55, -13, -5, -4, 1, 18\/11, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes before 10:48 AM?\nAnswer: 10:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4912236*u**2 + 6675345*u.\nAnswer: 9824472","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2, 1\/9, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14 - -27\/2. Let d = -31.5 - -31. What is the nearest to x in -4, -3, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**3 - 2*m**2 - 33*m - 103. Give s(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10481 is divided by 76.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 1261*o**2 - 4*o - 32. Let u(c) = 421*c**2 - c - 12. Calculate -3*i(s) + 8*u(s).\nAnswer: -415*s**2 + 4*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the second derivative of 1\/2*y**3 + 0 + 1\/12*y**4 - 3\/2*y**2 - 3*y. Is z(5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cl when two letters picked without replacement from {t: 2, l: 1, c: 1, p: 2, d: 1, z: 1}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/110 - (3510\/(-165) - -21).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/3 - 202896\/540 - (-6)\/(-10). Is -378 equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16 + 16. Suppose y = -2*x - 3 + 85. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -80 or -7?\nAnswer: -80","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w = -32*u + 27*u - 10, -8 = -u + 4*w for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2277 and 1035.\nAnswer: 11385","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wzwzezwweeew. Give prob of picking 1 w, 1 z, and 1 e.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.422 + 50.\nAnswer: 49.578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -2*i**4\/5 + 1154*i**3\/5 - 20158*i**2\/5 + 19006*i\/5 = 0?\nAnswer: 0, 1, 17, 559","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7017.797 centuries to decades.\nAnswer: 70177.97","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 3*l = 14, -l - 132 = -4*i - 123 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.625677 to 2 dps.\nAnswer: 0.63","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 209858846?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(128)*-1 + 3)*-5 + 1*(sqrt(128) + 0) + (sqrt(128) - (sqrt(128) + -2)*-5))**2*-3.\nAnswer: -57171 + 14400*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93 = 19*c + 40 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 - 0.8. Let l(y) = y**2 - 16*y + 12. Let u be l(16). Let n be 3\/(3\/(-4) - 3\/u). What is the nearest to -3 in -1, n, h?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-30)\/(-8380)*4\/(-3)*32. Let c = j + 41411\/5028. What is the common denominator of c and 95\/26?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (200\/(-760))\/((-15)\/9). Let f(c) = -c + 5. Let m be f(5). Which is greater: n or m?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -7\/4 (b) -3 (c) 3 (d) 0 (e) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -4086810 divided by 585\nAnswer: -6986","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 23*i - 17*i + 4 - 26*i + 556 + 27*i - 556 + (0 - 1 + 3)*(-3 + 3 + 2*i) + 0 + 0 + i in the form f*i + a and give f.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 h when two letters picked without replacement from {q: 1, n: 1, s: 1, v: 4, h: 7, c: 5}.\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -38533*f**3*i + 196*f**3 + 23*f**2 - 3*f + i**3 wrt i?\nAnswer: -38533*f**3 + 3*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67 is divided by 20.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 14 + (-46 - -12)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10 - -16. Let m be (-4)\/(-3)*27\/b. Let k be (-10)\/m*(-3)\/1. Put 0, k, -3 in ascending order.\nAnswer: -3, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(1\/4))**10 assuming m is positive.\nAnswer: m**(5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -11918738473353 - -0.5?\nAnswer: -11918738473352.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -17434749.23 to the nearest 10000.\nAnswer: -17430000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -8319226, -8319215, -8319198, -8319175, -8319146, -8319111, -8319070?\n\"Answer: 3*l**2 + 2*l - 8319231","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1.3 times 2.242394\nAnswer: 2.9151122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -5, -1, -2, -8 in decreasing order.\nAnswer: 1, -1, -2, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.3 + -1.299972. Round f to 5 decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes after 9:51 PM?\nAnswer: 9:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5922.\nAnswer: 2, 3, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 67083 to the power of 1\/2, to the nearest integer?\nAnswer: 259","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**0*m\/(m**(-2\/11)\/m)*m**(-2\/3)*m**(-5\/3))**(-22))**(-41) assuming m is positive.\nAnswer: m**(-410\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - 0*y - 141. Suppose -4*g + g = -3*w, -3*w = 3. What is the lowest common multiple of y and 9 + (g*(3 + -1))\/2?\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the first derivative of 0*a**3 + 1 + 0*a**4 + 1\/3*a**6 + 0*a + 2*a**2 + 0*a**5. Find the second derivative of b(f) wrt f.\nAnswer: 40*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16312 + -16300. Solve 12*w + 24 + j = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -a764b (base 15) in base 3?\nAnswer: -222222210122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -19.936 and 1.304?\nAnswer: -25.996544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 327*g**3 - 2*g - 138*g**3 - 3*g.\nAnswer: 189*g**3 - 5*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3940*d - 1182885 = -8624*d - 6371*d for d.\nAnswer: 107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/16 smaller than 18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 332 a factor of 299796?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qo when two letters picked without replacement from qod?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 219114 and 752.\nAnswer: 1752912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 5413 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -230080 divided by 2.\nAnswer: -115040","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 14211 = n, -18248 = -j + 5*n - 4021. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 - -6. Let p = -139.82 + -122.14. Let v = -262 - p. Which is the second smallest value? (a) -6 (b) r (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 158083065 to the nearest integer?\nAnswer: 541","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 68591 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: List the prime factors of 223376862.\nAnswer: 2, 3, 167, 222931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -490, 4, -1 in decreasing order.\nAnswer: 4, -1, -3, -490","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 870 = 3*f, 6*a = a - 2*f + 1422. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1)\/(-2))\/((-18)\/(-8)). Let o be 274\/(-28)*-5*4. Let g = o - 196. Which is smaller: g or i?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -15*v + 84. What is the lowest common multiple of -4*((-18)\/(-8))\/(-3) and v?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q\/q**1))**(-3\/4)*q**(2\/15)*q*((q\/(q\/(q\/(q**1\/q))))\/q)\/q*(q\/(q*q\/(q**6\/q)*q)*q*q\/(q\/q**(-8)))**(-5\/3) assuming q is positive.\nAnswer: q**(121\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6013164?\nAnswer: 2, 3, 79, 6343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhv when three letters picked without replacement from vxcdhhpvcvppchx?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, -4, -12, 0.5, -5\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 take away 0.0922272?\nAnswer: 0.4077728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-2130)\/90 - -24) + 42605\/3 + 1?\nAnswer: 7, 2029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 222, 1166, 2740, 4944?\n\"Answer: 315*q**2 - q - 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(-7) - 16\/(-56)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7650, 30614, 68888, 122472, 191366, 275570?\nAnswer: 375084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 741270 + -4?\nAnswer: 741266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -8*g**2 - 13*g - 6. Let k(o) = o**3. Let l = -58 + 54. Let b(r) = l*d(r) + 4*k(r). Find x, given that b(x) = 0.\nAnswer: -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -71729\/8 + 8966. Which is the fourth smallest value? (a) 29 (b) h (c) -0.4 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2)\/(p**(-5)*p))**(-11\/6)*(p**(-1))**(-8\/3)*(p\/(p*p\/((p*p*(p*p**(-3)*p)\/p)\/p)*p))\/(p**(-7)*p*p*p) assuming p is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 20\/(-8)*(-8)\/(-10). Sort q, 6, 2.\nAnswer: q, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 86\/15 and 10\/3.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 10 + -27536?\nAnswer: -27526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.05 + -2.05. Let f be (-2)\/(-2)*(-10)\/(-25)*5. Let v be 1*(f - 4) - 192\/(-102). What is the biggest value in i, v, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -908 + 2*m**2 - 1398*m - m**2 - 805*m + 910.\nAnswer: m**2 - 2203*m + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 38 = 5*m, 3*m - 8*m + 26 = r. Let x(v) = 5*v - v**2 - 86 + 45 + 51. What is the units digit of x(m)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -a1b9 (base 12) to base 13\nAnswer: -7cc2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z + 4. Let v be s(-3). Let r(d) = 0 + 8 + v + 7*d - 3. What is the tens digit of r(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67984463 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 71 - 30. Suppose 0 = 2*o - i - 29. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 482400 is divided by 481938.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1049247235 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.1944*-0.479\nAnswer: 0.0931176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 912171 to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68 = -4*q - 2*p, 5*p = 3*q - 2*q - 39. Does 19 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 730 is divided by 217?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 847099691 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -224 - -215 - (-13 - (-1 - 0))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 47183530?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 63 + -37. What is the greatest common divisor of 39 and y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-101)\/9898*28\/(-6) and 52\/2193?\nAnswer: 15351","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4 + (13 - 17))\/((-2)\/(-1)). Let z(v) be the second derivative of 0*v**2 - 1\/48*v**4 + 17*v - 1\/24*v**3 + n. Suppose z(w) = 0. What is w?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -27*d + 34. Let v(h) = -h - 1. Let x(q) = -5*v(q) - y(q). What is the remainder when x(4) is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -f**2 - 166*f**6 - 77*f**2 + f + 14*f**2 + 26*f**6 wrt f.\nAnswer: -16800*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -137.8 or 2?\nAnswer: -137.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*p - 5*g + 48 = 27, -2 = 2*p + 2*g for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 - (-24 - (22 + -70)) - (-14 - -2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6 - 8)*9 - 7. Find the common denominator of -11\/2 and k\/(-60) - 9\/3.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + -1 - -3 - 2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 370 = 4*x + x. Let d be ((-4)\/x)\/(2\/(-5)). Let o = -109\/259 + d. Which is the smallest value? (a) 0.2 (b) o (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**2 + 6*i + 7. Let j be t(-5). Let g(a) = 0*a**2 - 3 + j*a**2 + 0. Let d(p) = p**3 + p**2 - 1. Determine 2*d(q) - g(q).\nAnswer: 2*q**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/14 - (-148)\/(-14). Let n be (-1652)\/m - 2\/11. Suppose -5*f + p = -n, 3*p - 14 = -f - 0*p. Is 11 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49651 = 15*k - 33199 - 5845. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(6*(1 + sqrt(200))**2 + 0 - (-4 + 1 + ((sqrt(128))**2*6 - sqrt(2)))).\nAnswer: 605*sqrt(2) + 2205","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gba when three letters picked without replacement from gccsgaccccccbccc?\nAnswer: 1\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 4)*(258*q - 258*q + 110*q**2)*((-q**2 + q**2 + q**2)*(0*q - 2*q + q) - 2*q - 9*q**2 + 9*q**2 + 2*q**3).\nAnswer: 330*q**5 - 660*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-199)\/(412328\/(-444)))\/((-6)\/20)?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 4, 42 in descending order.\nAnswer: 42, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.04 + 0.1. Let x = b + 4.94. Suppose 0 = -5*s - 10, -28*a + 4*s = -30*a - 4. Sort -1\/4, 23, x, a in descending order.\nAnswer: 23, x, a, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15 + 13. What is the tens digit of (-1 + (-51)\/6)*f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 107*y - 31*y + 59*y**2 + 9*y + 260 - 54*y**2.\nAnswer: 5*(y + 4)*(y + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7935354 and 756.\nAnswer: 15870708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of c**3*l*m**2 + c**3*l*m*y + c**3*l - 6*c**3*m + 13*c**2*l*m**2 - c**2*l*y - 2*c*l - 2*c*m**2*y wrt m?\nAnswer: 2*c**3*l + 26*c**2*l - 4*c*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2503, 2370, 2109, 1720, 1203, 558, -215?\n\"Answer: -64*c**2 + 59*c + 2508","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6686315?\nAnswer: 5, 1337263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -27294, -27296, -27298, -27300?\n\"Answer: -2*j - 27292","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 134 = 2*m + 16. Let z = 88 - -424. Let p = 528 - z. Calculate the remainder when m is divided by p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5376 - 1?\nAnswer: -5377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 68 + -46. Suppose 5*n + 7 = b. Let c(x) = 0 + 3*x + 2 - n. Give c(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (((-56)\/(-10) - 1) + -2)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is b3bb50 + 4?\nAnswer: b3bb54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16326 (base 14) to base 16.\nAnswer: -d8ce","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3321420000 (base 5) to base 10\nAnswer: -7216875","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 5*j. Let o(s) = -s. Let r(m) = f(m) + 3*o(m). Let d(c) = 4*c**2 - 15*c**2 - 3*c**2 + 4*c**2. Determine d(r(u)).\nAnswer: -40*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-372)\/(-124)*(-21)\/((-6)\/2).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + l - 4*l + 8, 3*u - 20 = -5*l. Suppose -3*o - o = 3*b + 179, -u*o = -5. Let i = b - -91. 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: What is the hundreds digit of 869?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 185619492 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -20, l - 3 + 4 = -5*z. Let o(x) = -2*x**2 + 4*x. Let r(h) = -20*h + 19*h + 0*h**2 + 8*h**2 - 7*h**2. What is z*o(p) - 4*r(p)?\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1134 and 9099?\nAnswer: 382158","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000046847 rounded to 7 dps?\nAnswer: -0.0000468","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.17 - 0.97. Suppose -3 = -0*g - g. Which is the closest to -2? (a) g (b) 2 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 5 - 3 + 1 - 2*i**2 to y + c*i**2 + k*i and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (((-1815)\/(-22))\/(-33))\/((-2)\/(-4)). Let p(g) = g**3 - 4*g**2 - 6*g + 5. Let c be p(5). Put c, w, 1 in increasing order.\nAnswer: w, c, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the second derivative of 0 + 0*d**2 + 19\/6*d**4 + 0*d**3 + 16*d - 8\/5*d**5. Find the third derivative of z(o) wrt o.\nAnswer: -192","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 117 - 181.6. Let t = 80 + s. Let i = -15 + t. Which is the third biggest value? (a) i (b) 3\/4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 151787.\nAnswer: 151787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -42874*b*g**3 - 7*g**3 - 6*g**2 - 31 wrt b.\nAnswer: -42874*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - y + 2*y = 58, 5*y = m - 14. Let g = m + -24. Sort -3, -1, g in ascending order.\nAnswer: g, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s - 132 = 4*s. Suppose 0 = d - 0*d - s. Calculate the remainder when d is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-26)\/(-12) - 3 - ((-548376)\/(-15120) + -36)*-3\nAnswer: -1\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-9\/7)*y**9 assuming y is positive.\nAnswer: y**(54\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 - 50*m**2 + 323*m + 5773. Calculate q(-54).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 + 3. Suppose 5*f + 22*f + 330 = -39*f. Put l, 1, f in ascending order.\nAnswer: f, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**2 - 3*k + 4 + k + 15 - 3*k. What is the remainder when (1\/(-1))\/((-2)\/70) is divided by l(0)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 6*t + 9. Let a be p(-7). Let r be 64\/(-10) - a\/(-55). Let f be (-30)\/r - 20\/70. Solve 0 = -f*s + z, 3*s + 5*z - 6*z = 1 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11 and 865.\nAnswer: 9515","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 0 + 3 - 82*m - 3 + 83*m + 74*m**2. Let t(s) = -s. Calculate t(y(i)).\nAnswer: -74*i**2 - i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 877.5049l in millilitres?\nAnswer: 877504.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ls when two letters picked without replacement from vhsssshsvssyslelv?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 3*d + 17 = 3*t, 0 = 2*t + 2*d - 12. Let y(m) = 375*m - 2. Is y(t) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 131\/425196 and -35\/125984.\nAnswer: 3401568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2772?\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 61*f**2 + 10*f + 17. Let n(r) = -62*r**2 - 12*r - 20. Determine 7*d(h) + 6*n(h).\nAnswer: 55*h**2 - 2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -83, -323, -721, -1277, -1991, -2863?\nAnswer: -3893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -24*a**3 - 26*a**2 + 4*a + 7. Is h(-8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -20569357*b**2 - 77*b + 20. Let o be s(4). Round o to the nearest 1000000.\nAnswer: -329000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.75293 decades?\nAnswer: 90.3516","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 18.4, 4\/7, -0.6, 1.09.\nAnswer: -0.6, -0.4, 4\/7, 1.09, 18.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1335 > -169906?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (4 - 20) + (-74 - (12 + 16)) + 44\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 28707 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 20*y + 98. Calculate l(-7).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes after 5:35 AM?\nAnswer: 4:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/12)\/((2\/(-8))\/1)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 41.1668 nanograms in grams?\nAnswer: 0.0000000411668","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -5*b - 6*s - 10, 10 = -2*b - 4*s. Let h(z) be the first derivative of -4*z**3\/3 - z**2\/2 + 2. What is h(b)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes before 3:52 AM?\nAnswer: 5:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -111 + 3453*q - 3*q**2 - 6765*q + 3426*q = 0?\nAnswer: 1, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 782 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 17*f**3 + 154*f**2 + 7*f - 14. Calculate s(-9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1686442?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -406*g**3 - 393*g**3 - 60*g**2 + 1396*g**3 + 60*g**2 - 485*g**3.\nAnswer: 112*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 268, -11, -474, -1121, -1952, -2967?\n\"Answer: -92*u**2 - 3*u + 363","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -3*c + 9. Let u(p) = 13*p - 10. Suppose w - 6 = 5*b + 12, -4*b + w - 14 = 0. Let g(a) = 11*a - 11. Let t(n) = b*g(n) + 3*u(n). Give -5*t(o) + 8*x(o).\nAnswer: o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62*t = 73*t - 847. Which is bigger: 73 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (17 - -33) + -25 + -11?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -2751741.\nAnswer: 5\/2751741","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 5*o - o - o + 6. Let s be 2 + (4 - (-3 - -9)). Suppose 0 = -2*q - 5*m - 23, 2*q + s*q - 3*m = 1. Determine x(q).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.007 - 0.047. Let r = 3.016 - -0.064. Let n = r - a. What is n rounded to one decimal place?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 99*j + 11 = -96*j, -154*a + 5*j - 313 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 3 = -3*w. Suppose -2*a - w + 19 = 0. Is a a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-5)\/2 - -2)*8. Let y = 5 - 1. Suppose 0*p + 5*p - 4*k = -2, 0 = p - 2*k + y. Sort m, 5, p in decreasing order.\nAnswer: 5, p, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 654, 1307, 1960, 2613?\n\"Answer: 653*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 4*o + 252, o - 33 = z - 4*o. Let f = z + 72. Calculate the highest common divisor of 36 and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.1 - 5.1. Let v = r + 4. What is the nearest to v in 0, 2, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 8) to base 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10764*t**2 + 11354.\nAnswer: -21528*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -462*b - 6. Let w(j) = 299*j**3 + j**2 - j. Let c be w(2). Let p be 4\/26 + c\/(-182). Let i be s(p). What is i rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*h**2 + 3*h**3 - 83*h + 43*h + 38*h + 10 - 23 to the form y*h + v*h**2 + u + d*h**3 and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0.061, -1, 0.0513, 94, 0.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 4 = -2 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -3*t**2 - 84*t + 33. Let b be j(-29). Which is smaller: b or -55?\nAnswer: -55","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*y + 251*p - 250*p - 11, 10 = 2*y + 2*p for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*i = 373 - 358 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/7, -0.07, 85, 1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3849.925 millennia to years.\nAnswer: 3849925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23121639?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 5*v = -3*v + 10, b - 1 = 2*v. Sort -1, b, 1 in ascending order.\nAnswer: -1, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5448\/20 + (-6)\/15. Let x = 582 - a. Calculate the common denominator of 61\/3 and x\/135 + -5 - -4.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4850?\nAnswer: 2, 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1\/4)*w)\/(w*(w*w*(w\/(w**(-1\/6)*w))\/w*w*w)\/w)*((w\/(w\/w**(-1\/3))*w)\/w)**19 assuming w is positive.\nAnswer: w**(-35\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*f = -44*f + 165. Calculate the greatest common divisor of f and 649.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 141 - -122?\nAnswer: 313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19619.99974258 - 19620. Round h to 6 decimal places.\nAnswer: -0.000257","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.8 + -75\nAnswer: -73.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -86*z + z**2 + 86*z - 11*z**3.\nAnswer: -11*z**3 + z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*j, -x = -0*j - 3*j - 4. Let s = x + -8. Let f = -67\/438 + -1\/73. Which is the second smallest value? (a) s (b) 2\/15 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3, -7, -11 in increasing order.\nAnswer: -11, -7, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, m: 2}. What is prob of picking 2 m and 1 g?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(162) + -5 - sqrt(162))**2 + ((sqrt(162) + -1)*6)**2 + -2*((sqrt(162) - (sqrt(162) - (sqrt(162) + 2))) + sqrt(162))**2 + -2.\nAnswer: -792*sqrt(2) + 4578","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -510, -874, -1234, -1590?\nAnswer: -1942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -131537*t**2. Let i(z) = -2*z**2. Determine k(i(q)).\nAnswer: -526148*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1496 (b) 1\/7 (c) -2\/5 (d) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -5*b + 46, -b - 2*v = 3*b - 42. Let z(r) = -30*r + b*r + 9*r - 14*r. Let d(k) = 2*k. Give d(z(m)).\nAnswer: -50*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14448?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 26491 and 3019076.\nAnswer: 449","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -15 - (2 - 2 - 1). Let w(h) = -h**3 - h**2 - h. Let z(l) = 3*l**3 + 16*l**2 + l + 11. Let b(j) = 2*w(j) + z(j). What is the tens digit of b(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*h + 13*h + 925. Let o = -170 - -40. Let s = h + o. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 4*l - 4. Let r(t) = t**2 - 10*t - 23. Let o be r(17). Suppose 7*p - 3*p = -o. Let m be p\/32*(-2 + -2). Give y(m).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 5 (b) -0.5 (c) 5\/8 (d) 65 (e) -1\/6 (f) -2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -15*s + 96. Let j(l) = l - 6. Let x(p) = -33*j(p) - 2*q(p). Let w be 5*(-1 + (-4)\/(-3))*-3. Calculate x(w).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 89962.083 minutes?\nAnswer: 62.47366875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*z + 168 + 448 = 0. Solve z*s - 2*s + 180 = 0 for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 1014?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 220 is divided by 107?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -50*n**3 - 55251*n**2 - 1102*n + 3310. Give q(-1105).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.02 and -3.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21 - -61) + 28 + (-31 - 29).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/11 in 0.0631, 0.1, 0.07?\nAnswer: 0.0631","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:17 PM and 11:59 PM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -1 (b) -2999 (c) -26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j - 17. Let n be a(-17). Let c = -2252 - -2253. Sort -5, n, c, -36 in descending order.\nAnswer: c, n, -5, -36","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21332000 rounded to the nearest one million?\nAnswer: 21000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 27\/257 and -22\/5.\nAnswer: 1285","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (44*(-1081)\/(-16544))\/(1\/(-8)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 13833 and 899.\nAnswer: 428823","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -214049 - -291?\nAnswer: -213758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: bbf796 (base 16) to base 2\nAnswer: 101110111111011110010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1750 - 802. List the prime factors of w.\nAnswer: 2, 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19522 times 3\nAnswer: -58566","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 8*c - 15 - 111 = 0 for c.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -229*i + 190*i = -33579. List the prime factors of i.\nAnswer: 3, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 1420709.1 months?\nAnswer: 1183.92425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-34)\/(-12) - (10 - 7)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 3*d = -3734, -h - 4*d + 1867 = -0*h. Suppose -h - 494 = -3*u. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 999213.5 millilitres?\nAnswer: 999.2135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.78 - 0.22. What is the closest to 2\/3 in g, 5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 248 = -4*n, -151*n + 148*n + 249 = 3*m. Calculate the greatest common divisor of 3717 and m.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, v: 2, s: 1, d: 1, c: 2, i: 5}. Give prob of sequence svl.\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*h = -14*h. Solve 4*j - 2*q + 3 - 1 = h, -5*q = -j + 22 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*d - 2*k + 1734 - 1704, 0 = 3*d - 4*k for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 6661153 (base 7) to base 15\nAnswer: 113667","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -90*w - 449. Suppose 0 = 9*d - 1898 - 2827. Calculate the smallest common multiple of u(-5) and d.\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4427723754.\nAnswer: 2, 3, 245984653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30 and 345.\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes before 11:59 PM?\nAnswer: 8:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 4, s: 2, t: 6}. Give prob of picking 2 n and 1 t.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72 = 9*p - 63 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4705b4 + -a?\nAnswer: -470602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 11*m**2 + 2*m + 1. Let c be (-2)\/(-7)*1 + (-9168)\/336. Let p = 41 + c. Calculate the smallest common multiple of p and u(-1).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(3*3\/(-9))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 210*h**3 + 4*h**2 - 2*h. Let c(q) = -q**2 + 19*q - 87. Let r be c(11). What is the remainder when w(r) is divided by 73?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:12 AM and 3:21 AM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52239 is divided by 7455.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 53720655?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00053334 to 5 dps.\nAnswer: -0.00053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = q - 2, 3*q + 5*t - t - 19 = 0. Sort 4, -4, q, -19.\nAnswer: -19, -4, 4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -2 (b) -5 (c) 5 (d) 11\/4 (e) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/6*90\/12. Is -34\/9 bigger than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 - 2)*(1 + 18). Let a = h - -33. Let z be 2\/((-12)\/a) + 2. Which is bigger: -1 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 + 15 + -4 + -11 + 20 + -96\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (16\/40)\/(119\/(-40) - -3). Suppose 2*r = -2*s + w, -4*r + 5*r = -2*s + 11. Solve 10 + 5 = -s*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 142*y + 116*y = 61*y - 3743 for y.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3\/5, 0.1, -4\/5, -530, 0.5, -1.3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes before 11:19 PM?\nAnswer: 11:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -11 + 6 + 1535 + -2.\nAnswer: 2, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 + -6.4. Let g = 6.4 + -6. Let y = k + g. Which is the closest to y? (a) -4\/3 (b) -5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -284 rounded to the nearest 10?\nAnswer: -280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + 92 = 4*h - 31, 2*h = -5*j - 24 + 143 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -29 times -0.1\nAnswer: 2.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 6\/25 of a kilometer?\nAnswer: 24000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.02276 + -406.96094. Let n = 409 + f. Round n to three decimal places.\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 317 is divided by 164?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -23*c**4 + 8*c**2 - 1225 wrt c?\nAnswer: -92*c**3 + 16*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -810*r**2 + 8735 wrt r.\nAnswer: -1620*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 97030?\nAnswer: 2, 5, 31, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ruyrzzl. Give prob of sequence ru.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the third derivative of 0 + 49\/120*n**6 + 0*n - n**4 - 7\/20*n**5 - 4*n**2 - 2\/3*n**3. Factor r(a).\nAnswer: (a - 1)*(7*a + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-12244)\/(-60))\/((-271)\/(-34)). Let j = -2\/813 + i. Factor 2\/5*y**3 + 96\/5*y - 24\/5*y**2 - j.\nAnswer: 2*(y - 4)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -14 and -696578.\nAnswer: 9752092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 + 5 = 3*o. Let g be 10\/o*9\/(-15). Let h = -599 + 598. Which is smaller: g or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 4*u + 0*u - 2*u)*(2*u - 5*u + 0*u) + 4*u**2 + 0*u**2 - 3*u**2.\nAnswer: -5*u**2 - 6*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 98772?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 4*r - 27 = 0, -3*t - 5*r = -0*t + 13. What is the common denominator of (-645)\/(-22) - 2\/t and -81\/22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**3 + y**2 + y + 3. Let v be r(0). Let t = 12 - v. Let m = 13 - t. Solve -m*b - 2 = 2*k, -2*k + 5*b + 6 = -10 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 380 is divided by 377.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -42, -31, -4, 45, 122?\n\"Answer: h**3 + 2*h**2 - 2*h - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2\/151 + -280\/1661. Let q = -76 - -79. Put -0.1, q, w in descending order.\nAnswer: q, -0.1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 - 8\/3*-3. Suppose -3*a + 4 = -a. Let o be (-4 - (-7)\/a)\/((-1)\/17). Is x smaller than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (36 - 2)*2 - 1. Suppose -l + 2*l - h = 0. What is the remainder when l is divided by -3*(190\/60)\/(1\/(-2))?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 2*a + 1. Let i(o) = o**2 - 9*o - 5. Let k(u) = 9*h(u) + 2*i(u). Let c be k(-1). Let s be 42\/10 - c\/5. Solve n - s = -0*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the third derivative of -16\/3*r**3 - 1\/30*r**5 - 2\/3*r**4 + r**2 + 0 - 9*r. Factor o(a).\nAnswer: -2*(a + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v = 37*q - 60, 5*q - 5*v - 75 = 24*q - 17*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/5 (b) -1\/6 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -145 + -106730?\nAnswer: -107075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(19\/(266\/42)))\/(-6)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1010 - -12001?\nAnswer: 10221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 276, 512, 646, 630, 416, -44?\nAnswer: -798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 4*x = 32, -6*z + 19 = -2*z + x. Let o be z\/(-2) - 2*-1. Suppose -3*u - w = 1 - 40, -4*u - 2*w + 50 = o. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -7, -12, 3, 50, 141, 288, 503?\n\"Answer: 2*a**3 - 2*a**2 - 13*a + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1587, -1, -4, 28 in ascending order.\nAnswer: -4, -1, 0, 28, 1587","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 38b6 - 4?\nAnswer: 38b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of a**6 - 191563*a**5 - 17*a**3 - 309470*a**2 + 67*a wrt a?\nAnswer: 120*a**3 - 11493780*a**2 - 102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 522264 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13225 is divided by 69?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 > -3747450?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes before 6:40 AM?\nAnswer: 12:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/15 and 30\/7.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(448) + 2)*4 + sqrt(448))**2 + -4.\nAnswer: 640*sqrt(7) + 11260","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a**2\/9 + 61916*a\/9 - 323830 = 0. What is a?\nAnswer: -31005, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, 31, -2, 1, 2615 in increasing order.\nAnswer: -5, -3, -2, 1, 31, 2615","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27727?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 2*p = -4*p - 24, p = -2. Calculate the greatest common divisor of f and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3995472 by 5.\nAnswer: 3995472\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 25846.48 millennia in years?\nAnswer: 25846480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*p - 6*p - 4 + 12*p)*(-7*p**2 + 7*p**2 - 3*p**3) as d*p**4 + s*p**3 + u*p + i + z*p**2 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**3 - 4 + 154*d**2 + d - 150*d**2 + 2*d**3. Suppose 3*y = 20 - 29. Determine r(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 2*j + 322 = 0, 4*j + 169 + 591 = 5*q. Let f be (6\/(-4))\/(9\/q). Let n = f + 36. Calculate the lowest common multiple of 22 and n.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 + 0. Let i be 5 - c - 2\/(-1). What is the highest common divisor of i and 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130310032 (base 4) in base 6?\nAnswer: 2310234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*u**6 + 5421*u**4 - 3*u**3 - 3192098*u**2 wrt u.\nAnswer: -360*u**3 + 130104*u - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -432, -425, -418?\n\"Answer: 7*p - 439","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 39\/5962 and 26 + (7 - (-9438)\/(-208)).\nAnswer: 23848","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 868\/5 + 4\/10. Let p be 1 + ((-170)\/i - 0). Let x be (-5)\/(-45)*7 - (-4)\/18. Which is bigger: x or p?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fzzz when four letters picked without replacement from ezzefzeeefff.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -27*i**5 + 102*i**4 + 2697*i**3 + 6912*i**2 + 1404*i = 0.\nAnswer: -6, -3, -2\/9, 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-96 + 105 - (-26)\/(-3)) + (71\/3 - 8)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6 * -19019.\nAnswer: 114114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the first derivative of -r**2\/2 + 7*r - 60. Suppose -17 = d - 0*d. Let o(s) = -3*s + 20. Calculate d*p(i) + 6*o(i).\nAnswer: -i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14164?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26451.\nAnswer: 3, 2939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*b**2 - 3 + 3)*(120*b - 35*b - 16*b)*(-2*b + b - b) in the form u*b + a + n*b**3 + z*b**4 + g*b**2 and give z.\nAnswer: -276","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes after 9:25 PM?\nAnswer: 7:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*(t**25\/t)\/t*t*t)**(-17)\/(t\/(t**(7\/10)\/t)*t**(-3\/22)))**(4\/13) assuming t is positive.\nAnswer: t**(-97496\/715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6111\/72 - (-2)\/16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 297323 less than -0.03419?\nAnswer: -297323.03419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the second derivative of -1\/6*o**4 - 2\/3*o**3 + 3*o - o**2 + 0. Suppose c(b) = 0. What is b?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 290025795 and 1110.\nAnswer: 555","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 4667, 4665, 4663, 4661, 4659, 4657?\n\"Answer: -2*s + 4669","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 - -10. Let d be (k + 0)*2\/(-4). Let r = -49.1 + 49. Which is the closest to r? (a) 1\/5 (b) 3\/8 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 24513023 to the nearest integer?\nAnswer: 290","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m. Let n(a) = -3*a**2 - 12*a. Let i = 1 + 11. What is i*w(q) + n(q)?\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 189692 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: Let x(t) = t**3 - 55*t**2 - 62*t + 363. Let b be x(56). Calculate the highest common factor of 69 and b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*p - 4*p + 0*p)*(-537 + 36*p**2 + 268 + 271) + (p**2 + 0*p**2 - 3*p**2)*(0*p + 3*p - 5*p) to w*p + q*p**3 + i + d*p**2 and give q.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12 - 7. Let u = 0.64 - 4.64. Which is the second biggest value? (a) m (b) u (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 476.62019 to one dp.\nAnswer: 476.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 15247 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 12*m - 48. What is the remainder when (m - 3 - -3)\/((-9)\/(-114)) is divided by 27?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 4 = -0. Suppose 3*k = 2*k + 4. Suppose 0 + 12 = k*q. Calculate the remainder when q is divided by l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**2 - 5. Let d(h) = 12 + 2*h - 2*h**2 - 2*h. Let j(w) = 12*a(w) + 5*d(w). Let o(r) = 5*r**2. Determine j(o(v)).\nAnswer: 50*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -983 - -62. Let m = -604 - c. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*i**2 + i**3 + 0*i**2 + (11 - i - 21 + 16)*(-1 + 1 - 2*i**2).\nAnswer: 3*i**3 - 12*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 17*i**3 + 4*i + 3. Let g(p) = -4*p**3 - p - 1. What is 9*g(m) + 2*h(m)?\nAnswer: -2*m**3 - m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55 + 52 + 359*p - 361 + 202 - 367*p + 52.\nAnswer: -8*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 69 and 705.\nAnswer: 16215","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 17553 and 15.27.\nAnswer: 268034.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-c - c + 0*c)*(2*c**2 - 3*c**2 - c**2)*(-5805810 - 1437*c + 5805810) in the form x + z*c + k*c**4 + m*c**2 + s*c**3 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 436*k**2 - 4*k - 8. Let l(q) = -q**2 - q - 2. Give -4*l(n) + o(n).\nAnswer: 440*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 671 - 686. Let u(t) = 3*t**2 - 14*t - 67. What is the hundreds digit of u(v)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -3*n - 2*y, -16*y + 12*y + 28 = -5*n. Solve n = 224*r - 227*r - 3 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 42 and 378588966.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 73, 99, 163, 283, 477, 763, 1159?\n\"Answer: 3*m**3 + m**2 + 2*m + 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -50 + 51. Calculate the least common multiple of w and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-3*(sqrt(2736) + -4) + 5).\nAnswer: -108*sqrt(19) + 51","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a**2 + 2 - 2)*(72*a + 91*a - 124*a)*(2*a - 3*a + 2*a).\nAnswer: 117*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvggvvvgvvvvvv. Give prob of picking 1 v and 1 g.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (246 - 244)*(-9 + 2) - 19.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 + -5. What is the common denominator of (-3)\/9 + (-29)\/o and 4\/(-10)*938\/(-56)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-4) + 1)*176\/(-264).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 87019 and 346?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (-3 + (9 - 3) - 3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 3*k - 25 = -33, 0 = -4*u + 5*k + 16 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 413492202 to the nearest integer?\nAnswer: 745","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 382.6 - 60.6. Let k = 315 - m. Let c = -0.1 + 4.1. Put k, 0, -0.2, c in increasing order.\nAnswer: k, -0.2, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (242 - 57 - 9)*(-72*h + 1 + 24*h**2 + 72*h).\nAnswer: 4224*h**2 + 176","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:04 AM and 1:35 PM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2700860*o**2 - 117660*o - 16 wrt o?\nAnswer: -5401720","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2\/13 - 440118*w\/13 - 440116\/13.\nAnswer: -2*(w + 1)*(w + 220058)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.368 in 2\/5, 1\/4, 3\/2, -38\/3, -1\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 216209, 216223, 216227, 216215, 216181?\n\"Answer: -p**3 + p**2 + 18*p + 216191","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/1627 less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/77084 and -8\/1021363.\nAnswer: 4085452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 + -70a?\nAnswer: -705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -40 and 560.65.\nAnswer: -22426","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 40009 - -2?\nAnswer: 40011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ho when two letters picked without replacement from {d: 1, r: 1, o: 1, u: 3, h: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11068*i - 6082*i + 0 + 0.\nAnswer: -17150*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/14*54\/(-3 + -6). Let z = -0.3 - -0.34. Sort z, n, -2\/9.\nAnswer: -2\/9, z, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 3*y = 22, h + 4*h + 2*y - 42 = 0. Find the common denominator of 3\/4 and (0 - (-82)\/h)\/(504\/105).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the second derivative of n**4\/12 + n**3\/6 + 7*n - 4. Let g(k) = -9*k**2 - 7*k. What is 4*g(l) + 28*w(l)?\nAnswer: -8*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13611, 26388, 39165, 51942, 64719, 77496?\nAnswer: 90273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Is 13055 not equal to 13089?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -0.2, -3, 0.7, -16?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 2*r + 35 = 0, -194 = -3*w + 5*r - 91. What is the remainder when 1269 is divided by w?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:36 PM and 11:26 PM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 357 at most as big as 102747\/289?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 69*o**2 + 2*o - 3. Let y be x(1). Sort y, 0, -4, 15 in descending order.\nAnswer: y, 15, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21 - -3) + 19 - ((5 - 5) + 5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -37 - 2. Let a = q + 39.72. Let k = -0.7324 + a. What is k rounded to three decimal places?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:47 AM and 12:58 AM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.17 + -0.47. Let q = 7 + -6. Let k = 0.8 - q. Which is the nearest to -0.2? (a) d (b) k (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -40799, -40785, -40773, -40763?\nAnswer: -40755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -327*x + 2716 = -554. Let d be ((-2)\/4)\/((-3)\/336). Suppose 10 = 2*g, -2*b + d = -3*g - 69. What is the highest common factor of x and b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lj when two letters picked without replacement from {w: 3, q: 2, l: 4, j: 8}?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 6482?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 5*x**3 - 15*x**2 + 6*x. Let v(l) = 14*l**3 - 44*l**2 + 17*l. Give -17*c(k) + 6*v(k).\nAnswer: -k**3 - 9*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes after 6:12 PM?\nAnswer: 12:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -272.18678 rounded to 0 decimal places?\nAnswer: -272","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = -75*p + 83*p. Calculate the remainder when 238 is divided by p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ky when two letters picked without replacement from {q: 3, y: 2, w: 3, v: 1, k: 1}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(16)\/sqrt(2) + -1*sqrt(72))**2.\nAnswer: 392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 63 - 129. Let q be n\/(-14) + 4\/14. Suppose -23 + 198 = q*v. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 31 + 120\/(-10) - 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20190 divided by -4038?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (114\/(-18))\/(1\/3). Let n(l) = l**3 + 20*l**2 + 18*l - 11. What is the remainder when 39 is divided by n(c)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 135*z**2 + 894*z**2 + 257*z**2.\nAnswer: 1286*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 746, 1560, 2426, 3344?\nAnswer: 4314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-1 + 2 + sqrt(343))**2 + 3 - -2*2*3*(-1 + sqrt(448)).\nAnswer: 138*sqrt(7) + 1023","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 5*b**2 + 33*b - 59. Suppose -126*x + 128*x + 48 = 0. Is w(x) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*a**4*t - 108*a**3*t**2 + 5*a**2*t**2 + 13*a**2*t wrt a?\nAnswer: 144*a*t - 648*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -52, -7, -3 in descending order.\nAnswer: -3, -7, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 58928 and 9932416.\nAnswer: 288040064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*f**2 - f**2 + 5*f**2 + (-3*f + f - 3*f)*(-2*f + 0 + 0).\nAnswer: 12*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/93 and 127\/78?\nAnswer: 2418","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 85061 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 12*2\/4 + -4. Let a(v) = -8*v + 2. What is a(r)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the third derivative of o**9\/756 + o**8\/210 + o**7\/210 + 3*o**3\/2 + 6*o**2. Let v(x) be the first derivative of c(x). Solve v(f) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 4 = -4*l, -10*s + 145 = -5*s + 5*l. What is the smallest common multiple of s and 60?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 54 - 12. Suppose l + l - o = 4*u, -5*l = u - 160. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2\/5455 - 256361\/65460. What is the common denominator of l and -91\/536?\nAnswer: 1608","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*f - 69089 = 73915. What are the prime factors of f?\nAnswer: 2, 3, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z + 7. Suppose -6 = 2*h - 5*g - 1, 0 = 3*h + 5*g + 20. Let r = -12 - h. Let a = r - -12. Determine l(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15*-201.3\nAnswer: 3019.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.2 - 0.48. Let n = w - -0.01. Let u = n + -0.03. Is u at least as big as -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.109001175 + -0.109. What is a rounded to 7 dps?\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1269 (base 13) to base 15\nAnswer: -b9c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times 825\nAnswer: -165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 144 - 143. Suppose -3*v = -2*h + 20 + 3, -4*h + 2*v + 26 = 0. Which is the closest to n? (a) -1\/3 (b) h (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6d0 - 160?\nAnswer: 570","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(2*((-6*(sqrt(128) + 0) + -2)*1 + -4))**2.\nAnswer: 6912*sqrt(2) + 55728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1\/4*j**2 + 203\/2 + 65\/4*j = 0 for j.\nAnswer: -58, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((0 + 1 - 2)*(-35 - 27 + 8) - 2 + 0 + 1)*(0*j - 5*j + 0*j + 0 + 0 - j + 3*j + 0*j - j + (2 - 3 - 1)*(4*j + 2*j - 4*j)) as r + p*j and give p.\nAnswer: -424","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -20, -19, -16, -11, -4, 5?\n\"Answer: p**2 - 2*p - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3339?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 109738, 109750, 109762, 109774, 109786, 109798?\nAnswer: 109810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 134 divide 19473148?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34 = -5*f + 3*m, -f + 2*f = -2*m - 1 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 108\/11? (a) -5 (b) 1\/5 (c) -4 (d) 54 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/2 (b) 2\/5 (c) -3068\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -286430, -286271, -286112, -285953, -285794?\n\"Answer: 159*r - 286589","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 69*h**2 + 43*h + 81. Is y(-2) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -9 + (-5680)\/14 - (-4)\/(-14). Let v = -334 - q. Suppose 5*h - 5*c = 40, -6 = -h - 3*c + 6. Calculate the greatest common factor of v and h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -68 + 69. Let r = 10 - 1. What is the highest common factor of r and k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10692, -12357, -16870, -25653, -40128, -61717?\nAnswer: -91842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2, 2, 8, 26, 62?\n\"Answer: t**3 - 3*t**2 + 2*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15.2 + -15.200000118. What is o rounded to seven dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1147265837 is divided by 664?\nAnswer: 661","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100001000 (base 2) to base 11.\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 2*g + 11. Let p = 5 - 5. List the prime factors of c(p).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*s - 2013 = 5*s + b, 4*s + 3*b = 1618. Suppose -4*c = -118 - 6. What is the greatest common divisor of s and c?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 207007516, 207007504, 207007492, 207007480, 207007468, 207007456?\n\"Answer: -12*u + 207007528","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 286273848 and 402?\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 7*s**2 - 1. Calculate the least common multiple of y(-1) and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 247*v + 5*n - 9 = 243*v, -4*v - 26 = -2*n for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**3 + 42*l**2 + 112*l - 135. Let k be t(-39). Solve 0 = 4*h - 32 + k for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3930761 or 3930692?\nAnswer: 3930761","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 5 + 2)*(2*r**3 + r**3 - r**3) + 1 - 1 + 2*r**3.\nAnswer: -6*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -20 (base 8) to base 15\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000023624 rounded to 7 decimal places?\nAnswer: 0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 274, 245, 216, 187?\n\"Answer: -29*p + 303","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*o - 0*c - c, 3*o - 14 = c. Let y = -0.226 - -0.026. What is the third biggest value in 1.3, y, o?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 + 4a91d7?\nAnswer: 4a91d4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*-2.98\nAnswer: 0.894","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 972.7537g to milligrams.\nAnswer: 972753.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 5*d - 520, -5*f = -5*d + 525 - 25. Calculate the highest common factor of 3255 and d.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -259765 + 62593 = 5543*a + 79295 + 227946 for a.\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4220?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1357775 and 55?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the second derivative of y**6\/15 + 3*y**5\/2 - 25*y**4\/2 - 1375*y**3\/3 - 3750*y**2 - 12815*y. Factor j(t).\nAnswer: 2*(t - 10)*(t + 5)**2*(t + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(2) + 1 + sqrt(2))**2)*-1 - (-2*sqrt(8) - (1*sqrt(162))**2).\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -f*i**2*n + 3*f*i - 2*f*n - 11*f - 2*i**2*n + 2*i**2 wrt i?\nAnswer: -2*f*i*n + 3*f - 4*i*n + 4*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -2*w**3 - w**2 - 1. Let c be p(-1). Let r be 0*(-2 + (-9)\/(-6)). Solve r = -y - c + 2 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/288*0)\/(-2*1\/(-2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.78 - 3229.\nAnswer: -3229.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*w - 463 = -39*w - 63. Let p(o) = -o**3 - 20*o**2 + 8*o + 14. Let m(u) = -u**3 - 13*u**2 + 5*u + 9. Give w*p(t) - 8*m(t).\nAnswer: 3*t**3 + 4*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (a + 13*a + 6*a)*(0*a**3 + a**3 + 2*a**3) + 36*a**3 - 7*a**4 - 36*a**3 as j*a**4 + n + b*a + w*a**2 + s*a**3 and give j.\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Is 1527338591 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 101 - 142. Let w = -46 - x. Which is the second smallest value? (a) -0.2 (b) w (c) -3 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*m - 3 = -12 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 24*s - 5. Let f = 15 - 10. Let x(i) = -25*i + 4. Let g(w) = f*x(w) + 4*z(w). Let k(y) = 2*y - 4422 + 4422. Determine k(g(t)).\nAnswer: -58*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 103669 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 45 + 24. List the prime factors of q.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 4*i + 16 - 6, 3*i - 27 = -2*n. Put 0, -5, n in ascending order.\nAnswer: -5, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -2*d + 40 + 20, 2*d = 0. Let w = q - 35. Suppose -l + w = 4*l. Is l a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -2072*s**2 - 2607*s + 27620. Let z(c) = 691*c**2 + 920*c - 9207. Let b(a) = 6*f(a) + 17*z(a). Differentiate b(t) with respect to t.\nAnswer: -1370*t - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -118, -1187, -4138, -9913, -19454, -33703, -53602?\nAnswer: -80093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(((1 + -1 + sqrt(117))**2 + 2 - ((sqrt(117) - (-2 + (sqrt(117) - (sqrt(117) + -3))))**2 + -3)) + 2).\nAnswer: 36 + 36*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/1*(-2)\/(-2). Suppose -l - n = 3*y - 11, 2*y = 6. Let h(r) = -4*r**2 - 73*r + 440. Let o be h(-23). Solve l = 4*f + o*c, -3*f + 0*f + 2 = c for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**1*z*z**(-3)*z)\/((z**(-1\/3)*z)\/((z\/((z*z**6)\/z)*z)\/z)) assuming z is positive.\nAnswer: z**(-17\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 272 is divided by 61?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from {l: 2, p: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34 - 42 = 2*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:06 PM and 12:16 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*q**3 - 8 + 16 - 8.\nAnswer: 9*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 147220 and 166600.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 479 = -5*y, 2*d = -y + 7 + 100. List the prime factors of y.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.09 + 0.11. Let o(u) = 2*u**2 - 46*u + 235. Let w be o(13). Which is the smallest value? (a) 0 (b) n (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 850411.\nAnswer: 43, 19777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the third derivative of u**5\/6 + u**4\/6 - u**3\/2 + 2*u**2. Let c be r(2). Let n = c + -2. Is 21 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - -4) + (2149 + -2178 - (-144 + -1))?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (9\/25)\/3*47\/(5922\/140). What is the second smallest value in -2\/5, -2\/57, 7\/5, w?\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and 793834.\nAnswer: -79383.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 94450.99ng in kilograms?\nAnswer: 0.00000009445099","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -48 + 48. Suppose -3*m + 383 - 260 = p. Is 7 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 580323?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((sqrt(264) - (sqrt(264) + -1*sqrt(264) - sqrt(264)))\/sqrt(8))\/sqrt(3) + 1)**2.\nAnswer: -16*sqrt(11) + 705","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/95898 and -1\/43590.\nAnswer: 479490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*h**2 + h**3 + 3*h**2 + (-h - 4 + 4)*(17 + 21 - 21 + 4*h**2) + 0*h**3 - 3*h**3 + h**3.\nAnswer: -5*h**3 - 17*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2999 or -45?\nAnswer: -45","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -4 (b) 2 (c) -0.1 (d) -77\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 3438?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*q**2 + 5*q**2 - 4*q**2 - 23*q**2 - q**2 - q**2 + (-4 + 5 - 3)*(3*q**2 + q**2 - 2*q**2) + 0*q**2 + 0*q**2 - q**2 as y + f*q**2 + j*q and give f.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:38 AM and 4:01 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -376, -355, -320, -271?\n\"Answer: 7*a**2 - 383","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in -6, -2\/5, -5?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 4, u: 1, m: 2, y: 2, h: 5}. What is prob of sequence omu?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 12*u + 11. Let g be i(7). Let t = g - 68. List the prime factors of t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/2 in -34\/7, 1\/4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/9*58*134\/(-38860).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 1857 and -13 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -62 in -0.3, -1, -52?\nAnswer: -52","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 36903287 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - 0.1. Let c = -0.112 - q. What is c rounded to 2 dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102617683 is divided by 3205?\nAnswer: 3198","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 241331 and 33197.\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 2*u**3 - 5*u**2 + 3*u. Let r be b(3). Suppose -j = -z + j + 14, -r = -2*z + 2*j. Suppose z*y - 8*y = -20. Solve c - 5*t = -0*c, 0 = y*c + 4*t for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**2 + 7240*u.\nAnswer: 2*u*(u + 3620)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -96*b**3 - 9*b**2 + 9*b - 5. Let j(k) = -24*k**3 - 2*k**2 + 2*k - 1. Calculate -2*f(m) + 9*j(m).\nAnswer: -24*m**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**3 + 10*c**2 - 10*c - 1. Let o be n(-11). Let g = 15 + o. What is the third derivative of -2*u**6 - 2*u**2 - 69*u**3 + 69*u**3 + g*u**6 wrt u?\nAnswer: 120*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 2 = 28. Let s be -6*(-4)\/((-24)\/b). Let m = 1 - s. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.18, -0.1, -91?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20 is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 p when two letters picked without replacement from pdnddnznnde.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 12 = 4*z, -v + 5*v - 30 = 5*z. Let u(a) = -a**2 - 7*a + 5. Let j be u(-8). Let i = j - -6. Solve 4 = i*o - v*h, -2*o - 4*h + 0*h = -10 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 3*l = 0. Factor 0*x**3 - 16*x**2 - 2 + l*x**3 + 7*x**3 + 0 + 11*x.\nAnswer: (x - 1)**2*(7*x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 7\/8 of a milligram?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -3.7, -0.1, -1, -2\/17 in ascending order.\nAnswer: -3.7, -1, -0.5, -2\/17, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e and 1 c when four letters picked without replacement from {e: 12, a: 2, p: 3, c: 1, y: 1}.\nAnswer: 55\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {b: 6, w: 4, z: 1}?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6016\/(-56400)*5\/(-32)?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (10 - 9)\/(2\/4). Let b be (c - 6)*3\/(-4). Solve h = b*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 + -3)\/2*-1. Let z(c) = -298*c + 298*c + 17*c**n. List the prime factors of z(-1).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 83\/3 (b) -0.1 (c) 474630\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2\/49 + -33\/2009. Let b = -212 + 210. Which is bigger: x or b?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (7\/(-35))\/(((-9)\/35)\/3). Find a such that -1\/3 - 2*a + r*a**2 = 0.\nAnswer: -1\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -83334*t**2 - 9*t - 12. Let n be u(-12). What is n rounded to the nearest one million?\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - 3*p - 10 = 0, -5*x - 12 = -p + 5*p for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 14*((-100)\/(-70) + 0\/1). Is 1792\/p - 16\/(-40) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**2 - 21*t + 74. What is f(-23)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 + 4 = -3*s. Let y(p) = -2*p**2 - 8*p + 0*p**s + 3*p**2 - 14. Let v be y(10). Solve 0 = z - v*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, f: 1, g: 2}. What is prob of sequence gguf?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 199167 is divided by 49226?\nAnswer: 2263","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the second derivative of -o**10\/630 - o**6\/90 - o**3\/6 - 4*o. Let v(r) be the second derivative of p(r). Find the third derivative of v(y) wrt y.\nAnswer: -960*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27319?\nAnswer: 17, 1607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 + 7*x**2 + 3. Let l be 44\/(-6) + (-1)\/(-3). Let o be q(l). What is k in 2*k - 3*k**o - k**3 + 2*k**5 + 0*k**3 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the second derivative of z**6\/1260 + z**5\/28 - 4*z**4\/21 + 22*z**3\/3 + 5*z - 1. Let k(m) be the second derivative of b(m). Factor k(l).\nAnswer: 2*(l - 1)*(l + 16)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 579388928 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 2 = 3, -249*d - 10 = -248*d + 3*h for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (15532 - 485*l - 15532)*(1 - 1 + 2*l) in the form p*l**2 + s + r*l and give p.\nAnswer: -970","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a litre in millilitres?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**2 + 7*d + 8. Let i be k(8). Suppose -6*f + f = i. Find m such that 2\/3*m - 2\/3*m**3 + f + 0*m**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, -1, -13 in decreasing order.\nAnswer: 1, -1, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.22 - -2.7. Let u = x - -3.52. Let l(b) = -5*b - 25. Let k be l(-5). What is the closest to k in u, -2, -0.8?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, g: 3}. Give prob of picking 1 g and 2 j.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -8*y - 81. Let k(g) = -2*g - 20. Let f(n) = 9*k(n) - 2*z(n). What is the smallest common multiple of 3 and f(-13)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -167366, -167402, -167438, -167474, -167510?\nAnswer: -167546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kj when two letters picked without replacement from {w: 1, q: 3, s: 4, k: 2, r: 1, j: 1}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the second derivative of -z**7\/2940 - z**6\/420 + z**4\/21 - z**3\/6 + z. Let d(p) be the second derivative of o(p). Determine y, given that d(y) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -928*t = 4*y - 926*t - 58, 4*y = 2*t + 38 for y.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10466 = -147*l - 10907 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -44\/9 (b) 0 (c) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 3697*c + 14795. Determine q(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -13855*j + 96794. Calculate q(7).\nAnswer: -191","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 74834123?\nAnswer: 7, 13, 29, 4051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 7*f**2 + 16*f + 12. Let w be a(-5). Suppose 4*k = -3*d + w, 0*d - 2*d = 5*k - 62. Differentiate d*z + 19*z**3 + 32 - 81*z + 40*z with respect to z.\nAnswer: 57*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*n + 8. Let s = n + 19. What is the remainder when s is divided by (-2 - 2) + (13 - 3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s = -6*s - 4. Put -1\/8, s, 2\/13, 5 in increasing order.\nAnswer: -1\/8, 2\/13, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(204)*-2 - sqrt(204))*-6 + sqrt(204)*-5*4)\/((sqrt(108)*-1*-2)\/(-1*sqrt(144))))**2.\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 113.88498 months in decades?\nAnswer: 0.9490415","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 4*w = -376. Let q = w - 49. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.5, 5, -0.6, 2\/55, -2.099?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 1 = -2*s. Suppose s*x - 24 = -9. Suppose 5*b + 5 - 15 = 0, -f - 11210 = -x*b. Round f to the nearest 1000.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, t: 5}. Give prob of sequence tatt.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f. Let x(d) = 5*d - d + 2*d. Calculate x(i(u)).\nAnswer: 6*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -219\/16, -6326, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 119\/34*((-16)\/(-14))\/2. Suppose 3 = 3*u + 5*y - j*y, 2*y - 2 = 0. Suppose 0 + u*s - 16\/9*s**3 - 4\/9*s**4 - 4\/3*s**2 = 0. Calculate s.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -16379 or 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/6 - (-56)\/(-26).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k - 1. Suppose 3*y - 13 = -5*t + 8, 0 = 5*t + 4*y - 23. Let h = -4 - -4. Suppose h = w - t + 5. Let o(i) = -i**2 - 3. What is w*j(r) + o(r)?\nAnswer: -r**2 + 2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -11*n**2 - 6*n - 7. Let w be d(-4). Let j = w - -290. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**2 - 7*a + 10. Let l be (-50)\/(-2) + 2\/1. Let y = l + 1. What is the remainder when r(11) is divided by y?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 964*a - 7*a**3 - 964*a - 48*a**2 wrt a.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1198*o - 19924 + 7944 = 0 for o.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1\/680 (b) -1 (c) 3 (d) 3\/7 (e) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the second derivative of 1\/6*j**3 - 1\/12*j**4 - 1\/2*j**2 + 0 - 4*j. Calculate k(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**2 - 182*s + 182*s. Let g(b) = -4*b**2 - 9. Let z(v) = g(v) + r(v). Differentiate z(x) wrt x.\nAnswer: -6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of c*h**3*t - 15*c*h**3 + 995*c*h**2 + 133*c*t - 7*h*t + 113*h - 1471*t wrt t?\nAnswer: c*h**3 + 133*c - 7*h - 1471","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 - 12. Let r = -528 - -527. Which is the nearest to r? (a) -4 (b) j (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the second derivative of -5\/4*v**5 + 11*v**2 + 1\/12*v**4 + 0*v**3 - 17*v + 0. What is the derivative of d(l) wrt l?\nAnswer: -75*l**2 + 2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**3 - x**2 + x - 1. Let t(d) be the third derivative of d**6\/40 + d**5\/12 - 5*d**4\/24 - 2*d**3 + 12*d**2 + 27*d. What is t(h) + 5*w(h)?\nAnswer: -2*h**3 - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 332*q + 8706 = 52 - 602 - 704 for q.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3279706 to the nearest integer?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 20133 to the power of 1\/4, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10134803?\nAnswer: 7, 773, 1873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 98 divided by 70\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 107 - 106.84. Put -2\/7, d, 4, -0.4 in decreasing order.\nAnswer: 4, d, -2\/7, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -5*s - 5. Let m be o(-5). Let z = 11 - -9. Suppose 21*d - m*d = z. What is the remainder when 98 is divided by d?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104*x + 100*x = 20. Which is the closest to 3? (a) -2\/3 (b) x (c) 3 (d) -1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -133*h - 5. Let d(t) = -66*t - 3. Give -5*d(n) + 3*j(n).\nAnswer: -69*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/((-24)\/(-10012))*(-51 + 162) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - j = 89, -2*r + 8 + 91 = -3*j. Let z(b) = -48 + 2*b + 2*b + r. Let d(f) = -2*f**2. What is d(z(s))?\nAnswer: -32*s**2 + 96*s - 72","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 487710 and 44370?\nAnswer: 240441030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -5341 divided by 16?\nAnswer: -5341\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 5*p + 3. Let h(l) = -14*l - 8. Let n(c) = -3*h(c) - 8*y(c). Let u be n(-4). Let r = 14 + u. Solve 5*g + 0 = -3*x + r, 0 = 3*g for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 1 - 6 + (6 + 3 - 6)*(-4 + 4 + 2))*(8*c - 2*c - 2*c) + 2*c + 5 - 5)*(4 + 0 - 6).\nAnswer: -12*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 4*d = 16, 6*b = 3*b + 5*d + 10. Calculate the remainder when b is divided by 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.938 + 0.062. Let c = -1755\/8 + 219. Put c, -3, m, -0.1 in ascending order.\nAnswer: -3, c, -0.1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(1*sqrt(1008) + 4) + -4)**2.\nAnswer: 576*sqrt(7) + 9136","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 48578928 a multiple of 816?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1373255, 2746492, 4119729, 5492966, 6866203, 8239440?\n\"Answer: 1373237*z + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/4 (b) 3 (c) 0.36\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/5 of a day?\nAnswer: 51840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/((-30)\/(-15)*-1)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-3))**(-2\/13)*z**(4\/7)\/z**(-2\/33) assuming z is positive.\nAnswer: z**(3284\/3003)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -752, -2269, -6364, -14327, -27448, -47017?\n\"Answer: -215*l**3 + l**2 - 15*l - 523","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -79 - 75804744777.\nAnswer: -75804744856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b - 3*b + 6*b)*(-3*b**3 + 2*b**3 + 2*b**3 + (-8*b + 4*b - 6*b)*(-804*b + 210*b**2 + 804*b)*(1 + 2 - 2)).\nAnswer: -8396*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, 2\/9, -4, -9\/1517, -2\/7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gmgm when four letters picked without replacement from mmmmgggmmggmmmmmmg.\nAnswer: 11\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:16 AM and 2:53 AM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 202533083 to the power of 1\/7, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**2 - 2*j - 2. Let d be f(4). Find the third derivative of d - 16*y**5 - y**2 - 6 - 21*y**2 wrt y.\nAnswer: -960*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 190.3 + -199. Let k = 13 - 22. Let n = k - d. What is the smallest value in -2, 1\/3, n?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 116352*t**3 - 676555*t**2?\nAnswer: 698112","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1888 and 5779168?\nAnswer: 1888","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 101404783 to the nearest integer?\nAnswer: 466","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 563087*w**3 - 358*w - 215 wrt w.\nAnswer: 3378522*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3095)\/(-35) - 3\/7. Let k = -40 + r. Does 16 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -255*a**2 - 1546*a - 111. Determine m(-6).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 4 - 0 - -6\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.1 (b) 489 (c) 3\/2 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 58973775 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -4 * 0.5\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x - 5*x + 3*x)*(-5*x**3 - 12*x**2 + 10*x**2 + 2*x + x**3).\nAnswer: -4*x**4 - 2*x**3 + 2*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(-4) + (-2)\/24. Let g = -1.8 + 2. Let m = g + 0.1. Which is the second biggest value? (a) q (b) m (c) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*v = -6*q + 25*v - 78, -q - 16 = -2*v for q.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 31*s**2 - 2*s + 1. Let q be x(1). Let d = -1316 + 784. Let k be 2\/3 + d\/(-12). Calculate the highest common factor of k and q.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -107*v + 100*v = 3 + 4. Let s(m) = -35*m**2 + 3*m + 3. Calculate s(v).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1033901, -1033889, -1033875, -1033859?\nAnswer: -1033841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -373 + 30*t - 57*t - 361 + 1103 - 39*t - 369.\nAnswer: -66*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-1)\/(-3))\/((-3)\/18). Let i(v) be the second derivative of v**4\/4 + v**3\/2 + v**2 + v. Give i(c).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11840561*f**3*j + f**2*j + f*j - 2*f - 1031*j + 14 wrt f?\nAnswer: 71043366*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1 and 501?\nAnswer: 502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 53 - 53.0435. Round y to 3 dps.\nAnswer: -0.044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**3 - 68*y**2 - 2140*y + 4193. Calculate c(91).\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i + 3*i**2 - i**2 - 81*i + 0*i**2.\nAnswer: 2*i*(i - 39)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6596*l**2 + 1174233*l - 1174233*l.\nAnswer: -6596*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - y + 5 = 0, -y = -3*o + 1 - 9 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 297633?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7.3 or 0.09?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 183359?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3975 (base 10) to base 5.\nAnswer: 111400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(3564)*-2*1)\/((sqrt(36) + 5*sqrt(36) - sqrt(36))*6*6).\nAnswer: sqrt(11)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0 * 22\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and 12905892?\nAnswer: 12905892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 0*q - 3*q + 2*q. Let m(v) = -2. Let g(n) = n + 11. Let r = -1 - -3. Let i(x) = r*g(x) + 11*m(x). Calculate a(i(u)).\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1092)\/168*14\/(-13).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -3*p. Let b(a) = 6*a. Determine b(w(l)).\nAnswer: -18*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 4*p**3 - 4*p**2. Suppose -5*h + h = -288. Suppose -9*l + 12*l = -h. Let f(b) = b**3 - b**2. Let n(j) = l*f(j) + 5*u(j). Factor n(t).\nAnswer: -4*t**2*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f = -14*v - 3 - 5, -7*v + 3*v = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 48767 to the power of 1\/2, to the nearest integer?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f + 12 - 62. Let b be (-5 - 32\/(-4))\/((-6)\/16). Let u(o) = 2*o**2 + 17*o + 12. Let n be u(b). Solve f = -n*k + 2 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 107.2 - 234. Let w = v - -138. Let d = w + -11. Which is the smallest value? (a) 1\/9 (b) -3 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/2391625 and -139\/150?\nAnswer: 14349750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (6 - (-1 + 11))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 6 (b) -2 (c) 4 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-5\/6)\/w**(-1)*(w*w**0)**(-2\/35)*((w*w**(4\/5))\/((w\/(w\/(w**(-1)*w)))\/w))\/(((w\/w**(1\/2))\/w)\/w**0) assuming w is positive.\nAnswer: w**(358\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3 - -6 - 12\/1. Let j = n - -22. Let c = 10 + j. Does 18 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -21782, -20413, -19034, -17639, -16222, -14777, -13298, -11779?\n\"Answer: f**3 - f**2 + 1365*f - 23147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 46861 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**2 - 6*z - 18. Is o(-14) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:20 PM and 5:36 AM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2.3 (b) 13.4 (c) -105\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (48295\/(-30))\/13 + 4\/(-24). Let c = -124 - q. Solve 40 = -5*n - 4*f, c = -n - 4*f + f - 19 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(1 - 39\/40). What is the highest common divisor of n and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i**4 + 722*i**3\/3 - 733*i**2 - 102*i = 0. What is i?\nAnswer: -51, -2\/15, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 + 4. Suppose a = 8*h - 12*h + 784. Does 14 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8994133, -17988267, -26982401, -35976535, -44970669, -53964803?\nAnswer: -62958937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**2 + 16*d - 24. Suppose -5*x - 43 = -2*q, 0*q - 3*q - 48 = 5*x. Let g = 23 + x. Let i be y(g). Solve 2*n - i = 4*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**2 - 3*f - 5. Suppose -35 + 80 = 9*n. Let b(a) = a**2 + 4*a + 6. Calculate n*b(r) + 6*s(r).\nAnswer: -r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 224 = 5*x, -3*a + x + 52 = -97. Is 10 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 283*g - 1668. Let b be a(6). Solve 0 = 20*f + b + 50 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -33031, -33034, -33037?\n\"Answer: -3*p - 33028","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3335004 - -3?\nAnswer: 3335011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*h = 53*h + 16 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (5512\/10)\/((9 + -11)\/(-10)). What is i rounded to the nearest one hundred?\nAnswer: 2800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 36*28\/6552*(-2470)\/(-20)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 14 = -38. Suppose -i + z*i - 40 = 0. Calculate the greatest common divisor of 64 and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 467849 - -104508. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -21298 - -106491\/5. What is the fourth smallest value in -2.5, -3, -0.8, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + h = -228, -h + 6*h - 939 = -4*r. What is the remainder when r is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*r - 378 = 1122. Calculate the remainder when 1678 is divided by r.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15655 times -1.058\nAnswer: -16562.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.06527 to two dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 756 = 5*c, -2*l - 16*c + 21*c + 1527 = 0. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1036)\/21 + (-4)\/(-3). Let s be (2*-6)\/3 + f. Let b = 43 + s. Let z(h) = 2*h + 12. Determine z(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-36)*(-18)\/12?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 23, 56, 93, 134, 179, 228, 281?\n\"Answer: 2*i**2 + 27*i - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 282, 2742, 9548, 22872, 44886?\nAnswer: 77762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*f + 36 = -24*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p = 1251 - 1233 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 259 + 7?\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(171)\/(sqrt(18)\/sqrt(2)*-1) - ((-2 + sqrt(475) + 4)**2 - sqrt(475)).\nAnswer: -479 - 16*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**3 + 28*k**2 + 2*k + 57. Let h be w(-28). Let a be 124\/(-3) - (-4)\/(-6). Let g be (a\/20 - -2)\/(-1). Is g at most as big as h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(4 + 1*sqrt(539) + sqrt(539))**2*-5.\nAnswer: -43440 - 2240*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:33 PM and 8:17 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/(m*(m**(3\/5)*m*m)\/m*m))\/((m*(m*m**(-1\/2))\/m)\/m))\/(m**(-1)*(m**9\/m)\/m))**(7\/12) assuming m is positive.\nAnswer: m**(-189\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hrhr when four letters picked without replacement from {r: 9, h: 5}?\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10707?\nAnswer: 3, 43, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a kilometer in centimeters?\nAnswer: 90000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and -9.7936.\nAnswer: -39.1744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -34, -40, -50, -82, -154?\nAnswer: -284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-126)\/(32 + 31)*-298*(-1)\/84 - -7.\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 433 (base 6) to base 2\nAnswer: 10100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -543317*o**3 + 5*o**2 - 152915*o + 4.\nAnswer: -3259902*o + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -31 + 34. Suppose l*g + 0 - 9 = 0. Let v(a) = 2*a + 2. Calculate v(g).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/8 + 119\/28. Let j be (-438)\/(-90) + (-1)\/((-60)\/8). Put -34, o, -2, j in ascending order.\nAnswer: -34, -2, o, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14b064 (base 12) to base 15\nAnswer: 6de5a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 j when two letters picked without replacement from jkhjkklkakkkjjklhhh.\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12.94106 - 0.05894. Let p be (-23)\/(-45) + (-1)\/9. Put -3, h, -0.2, p in increasing order.\nAnswer: h, -3, -0.2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-11)\/(d**(-18)\/d))**(-2\/69) assuming d is positive.\nAnswer: d**(-16\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 104 is divided by 60?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (36\/1530)\/((-41)\/(-615)).\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, r: 2, i: 3}. What is prob of picking 1 r and 1 i?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 158442.\nAnswer: 2, 3, 26407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 110 - 101. Let j = -9.6 + 10. Put j, v, -5 in increasing order.\nAnswer: -5, j, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16407298.\nAnswer: 2, 19, 41, 10531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -6 - (-4 - (0 - -4) - -11).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the second derivative of -34*k**5\/5 + 7*k**3 + 108*k. What is the second derivative of l(s) wrt s?\nAnswer: -816*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 2*l = 0, -2*l + 2 = 28*c - 24*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/22 and (-854)\/(-60)*191\/(-18053) - 2\/(-15)?\nAnswer: 56738","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 36697 - 36697. Let j = 0.03 + 4.97. Which is the fourth biggest value? (a) 1 (b) j (c) 0.31 (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2465408061?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00982572 rounded to five dps?\nAnswer: -0.00983","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**2 + 2. Let o be d(0). Solve -2*h = 5*f, o*f = -3*f for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*l + 0*l**2 - 10*l**2 - 3*l to the form m + v*l + z*l**2 and give z.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -2*f**2 - 107*f - 1400. Calculate a(-25).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes before 5:23 PM?\nAnswer: 5:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/2955846 and -13\/1477923.\nAnswer: 2955846","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.6, 0.4, 0.1, 1\/5, -2\/45?\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13857?\nAnswer: 3, 31, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -119, -45, 151, 529, 1149, 2071?\n\"Answer: 10*a**3 + a**2 + a - 131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-254)\/6 - (-14)\/(-21). Let c be 4\/30 - i\/15. Let w = c + 13. What is the remainder when 59 is divided by w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2765364, -5530709, -8296054, -11061399, -13826744, -16592089?\n\"Answer: -2765345*u - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -150*q**4 + 15.\nAnswer: -600*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.054, 5\/2, 97, 2\/3?\nAnswer: 97","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(110)*-2 + sqrt(110))*-6)\/(-1*sqrt(810)*-2 - sqrt(810))*-3 + 0.\nAnswer: -2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -q - 21. Let v = 1 - q. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8, 12, 8, -4, -24, -52, -88?\nAnswer: -132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11.2295 or 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 92, -1513, -5890, -14431, -28528, -49573?\nAnswer: -78958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 71148?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 2*q + 5*o - 20, 4*q = -2*o + 40. Let u be ((-12)\/q)\/(12\/(-40)). Solve -u*h - 3*x + 0*x = 8, 7 = -3*h - 2*x for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 55*d + 78. What are the prime factors of w(4)?\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -5*m - q, 44 = 10*m - 5*m - q. Suppose 24*z + m*z = 195840. Round z to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 32233 + -32223. Let n(v) = -v**3 - 8*v**2 - 7*v + 3. Let w be n(-7). Sort w, 6, z in increasing order.\nAnswer: w, 6, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -3*c**3 + c. Let d be 4\/18 + 28\/36. Let h be o(d). Let y = 0 - h. Solve 2*p + 20 = -y*p, -x + 2*p = -13 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -41172, -82319, -123456, -164577, -205676?\nAnswer: -246747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 88037933 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 56 - 33. Let u = -25 + s. Let j be u\/(-6) - (-45)\/27. Solve 2*q + 2 + j = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0003361513 rounded to 4 dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/15 and (26\/3246)\/(((-6)\/(-4))\/(10 - 12))?\nAnswer: 24345","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 0*q**3 + 2 - 4 - 2*q - q**3. Let h(b) be the second derivative of -b**5\/10 - b**3\/2 - 3*b**2\/2 - 3*b. Give 2*h(j) - 3*w(j).\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*h**2 - 1121*h + 4424*h - 1121*h - 1063*h - 1119*h.\nAnswer: 7*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 104, 116, 152, 224, 344, 524, 776?\nAnswer: 1112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 166 + -169. Let c(p) be the second derivative of -p**3\/6 - 7*p**2\/2 - p. Let l be c(-7). Put v, -2, l in decreasing order.\nAnswer: l, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, -0.2, 0.47, 19.7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*(-2646)\/252*(-2)\/14?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 328938?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -11100 (base 2) in base 4?\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10630*s = 826*s - 1689*s + 214874 for s.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 12 - -145?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 0 + (1\/(-8))\/(1\/18)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.09 and 5154?\nAnswer: 463.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2*2\/(-40))\/(1*-5*718\/(-14360))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4309 and 8029?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 22247.02 weeks?\nAnswer: 13454997696000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -63 - -1dc7fa?\nAnswer: 1dc797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 203747 to the nearest integer?\nAnswer: 451","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 27.79 - 28. Let k = -7.79 + l. Let v = -10 - k. Sort -3, v, -0.1 in decreasing order.\nAnswer: -0.1, v, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 211355?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 0, 117, 236, 357, 480?\nAnswer: 605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 1623*r + 979. Is h(8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 164626510 is divided by 82313254.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -635 and 0.5?\nAnswer: -317.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5\/2 (b) -14 (c) 0 (d) 0.5 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1133412 (base 7) to base 3.\nAnswer: -21021000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 201.8 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -235 + 924. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 3*b - 3. Let r be v(2). Suppose 4*i = r*i + 3. Solve 2*n = -5*o + 10, -4*o - n + 8 = i for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**2 + 9. Let w(d) be the first derivative of d**4\/4 + 3*d**3 + 2. Let f be w(-9). Give h(f).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/62 in -0.4, -2.7, 3, -5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*l**4 - 304155*l**3 - 130440*l**2 + 1216620*l + 521424 = 0. What is l?\nAnswer: -2, -3\/7, 2, 14484","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 95 divide 3474536?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 2*v**5 - 40*v**4 - 216*v**3 + 3436*v**2 + 24310*v + 39900 = 0.\nAnswer: -5, -3, 14, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - 6 = -5*u, -1703*g + 1702*g = 2*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-2)\/(-4))\/((-2)\/4368*-7) is divided by 63.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*d + 5 + 4*d - 3 + 46*d.\nAnswer: 39*d + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -28602*n**2*z**2 + 2*n**2 - z + 49343 wrt z?\nAnswer: -57204*n**2*z - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*w**6 - 582*w**5 + 4*w**3 - 290327*w**2 wrt w.\nAnswer: 240*w**3 - 34920*w**2 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -98 (base 16) to base 3\nAnswer: -12122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 2*r + t = 10, -t + 1 = 0. Suppose 3 = 3*u, 0*w + r*u + 7 = 2*w. Suppose -2 = w*d - 27. Does 2 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(891) + 0 + sqrt(891) + 5)**2 + -3*sqrt(55)\/(sqrt(20)\/sqrt(4)) + -2*6*(sqrt(99) + (-1 + sqrt(99))*-1).\nAnswer: 177*sqrt(11) + 3577","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 67 = 4*l, 0 = -14*l + 10*l - 2*x + 66. Let m(t) = 68*t - 68*t - l*t**2. Let y(u) = u. What is m(y(o))?\nAnswer: -17*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**3 - 8*v**2 - 9*v - 4. Let q be w(-7). Let g be q\/(-104) + 4\/(-26). Which is the nearest to g? (a) 4 (b) 5 (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 472441862 to the nearest integer?\nAnswer: 779","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 2 u when four letters picked without replacement from uffuufuuffccuuffcc.\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 16 or -1?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -199, -450, -705, -964?\nAnswer: -1227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 451977 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 j when four letters picked without replacement from gjjggjgggjgjgg?\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1164 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 123747246?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.03 in -14, 375, 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 + 35. Suppose 0 = p + 2*p - x. Calculate the least common multiple of p and 6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -l + 12. Suppose 31 = -h - 5*f, 0*h + l*h + 28 = -2*f. Let u = 11 + h. Solve -j = -2*c + u, 3*c - 7 = c - j for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -13*o + 10. Let w be s(0). Solve w*k = 7*k + 12 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 26.44295 litres?\nAnswer: 26442.95","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s + 102 = 4*s. Let p = 75 + s. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 250157 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*h - 4 = 42 + 2 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - c = 2. Suppose c*y - 1 = r - 12, -5*y - 35 = -5*r. Solve -r*t + 8 + 1 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 66*s**4 - 5*s**3 + 5*s**2 + 9*s + 137. Let x(n) = n**4 - n**3 + n**2 + n. Let z(r) = l(r) - 5*x(r). Differentiate z(c) with respect to c.\nAnswer: 244*c**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qyyyyqqyqqyqyqyqqqyq. What is prob of sequence yqq?\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -4*m - 7. Let l be s(-5). Suppose -w + 2*k - 8 = 0, 5*w + 7 = 5*k - l. Do w and -18\/25 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*h - 0*h + 8, 4*a + 5*h + 46 - 40 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 753*w + 1103*w - 29718 = 205*w for w.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/1448 and -91\/724?\nAnswer: 1448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, -89 in decreasing order.\nAnswer: -3, -4, -89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 270, 537, 792, 1035, 1266, 1485?\n\"Answer: -6*y**2 + 285*y - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26, 231, 632, 1189, 1914?\nAnswer: 2819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/27? (a) 29\/5 (b) -0.048 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-5))\/(10\/40)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -938 - 21 + 5925*a**2 - 5187*a**2 wrt a.\nAnswer: 1476*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 31360 and 6384.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -420.02 - -429. Let h = c + -7.7. Round h to 1 decimal place.\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -2*h. Let o be r(-1). Suppose 2*t + 6 = 4. Let d be (18\/t)\/(36\/(-24)). Sort d, 4, o in increasing order.\nAnswer: o, 4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.689362 rounded to 2 decimal places?\nAnswer: -8.69","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14976729?\nAnswer: 3, 127, 13103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 6*o = -3*p + 4, -p - 5 = 5*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -39 or -40?\nAnswer: -40","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -260*d + 68220 + 459138 - 7098 = 0. Calculate the greatest common divisor of 736 and d.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7213 - -7210. What is the smallest value in -0.1, 3\/13, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 6097233?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 5*c**3 + 31*c**2 - 13*c - 9. Let v(s) = -3*s**3 - 14*s**2 + 6*s + 4. What is -2*q(m) - 5*v(m)?\nAnswer: 5*m**3 + 8*m**2 - 4*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 76647630?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 at least 44\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1247?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 1767005?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5132.3 - 5134. Which is the third smallest value? (a) -0.1 (b) -4\/3 (c) t (d) -6 (e) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 8 = -t. Let g(o) be the second derivative of 5*o + 1\/12*o**4 + 0 - o**3 + 3\/2*o**2. Calculate g(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1600, -3217, -4834, -6451, -8068, -9685?\nAnswer: -11302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5)\/11 - 1\/(-1). Let k be (-7)\/(-8 + 36)*16\/18 + 0. Put -3, k, -0.15, u in descending order.\nAnswer: u, -0.15, k, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 divided by -31332.\nAnswer: 3\/5222","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 55112*l**3*r**3 + 3*l**3*r**2 - 2*l**3 - 3*l**2*r**4 - 11*l*r**2 - 2*r**4 - 158*r wrt r?\nAnswer: 330672*l**3 - 72*l**2*r - 48*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 17617.29 and 3.\nAnswer: 52851.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -404 - -408. Let g(k) = k**3 - 3*k**2 - 2*k - 9. Let p be g(u). Which is smaller: 247 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 178, 329, 552, 841, 1190?\n\"Answer: -z**3 + 42*z**2 + 32*z + 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7462.\nAnswer: 2, 7, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes after 2:05 AM?\nAnswer: 1:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 - -10231?\nAnswer: 10235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 + -3. Suppose -15 = -3*j - 0. Suppose l*c = 0, 127 = j*u - 2*c - 38. What is the remainder when 129 is divided by u?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3 - (7 + 2) - -12. What is the third smallest value in -4\/9, -0.2, r, 15\/8?\nAnswer: 15\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2 + 0 + (-20 - -1223)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -276409 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1\/13, 13, -2\/13?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2548402, -2548442, -2548480, -2548516, -2548550, -2548582?\nAnswer: -2548612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -5*j + 26, x - 10 = j - 3*j. Let g(y) = -5*y. Let u be g(1). Let l be (-2)\/(-5) + (-68)\/u. Solve 0 = -x*r - r + 9, -o - 3*r + l = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 + 4. Calculate the common denominator of ((-3726)\/(-10692))\/((-1)\/9) and (p\/(-8))\/((-11)\/194).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*i**2 - 7*i + 753 wrt i.\nAnswer: -8*i - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.6 - 1.9. Let g = -4 - 6. Put -4, x, g in decreasing order.\nAnswer: x, -4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*n**4 - 7*n**4 + n**2 - 10*n**4 + 4*n**4 - 28*n + 2*n**3 in the form p*n**3 + f*n**2 + j + c*n + t*n**4 and give c.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((-1*sqrt(153) - sqrt(153))*1*6)\/((sqrt(99)*1 - sqrt(99))\/sqrt(11) + sqrt(9) + sqrt(54)\/(sqrt(24)\/sqrt(4))).\nAnswer: -6*sqrt(17) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 102, -1\/4, -0.1, 0, -428, -0.2 in descending order.\nAnswer: 102, 0, -0.1, -0.2, -1\/4, -428","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 32893 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c + 44*r - 43*r + 16, -2*r = 5*c + 26. Let n(s) = -s - 8. Calculate n(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-119)\/1428)\/(((-2)\/32)\/((-2)\/(-4)))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1968?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ua when two letters picked without replacement from {u: 3, g: 2, q: 5, v: 3, m: 1, a: 1}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 - -0.072575?\nAnswer: -31.927425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + h = -22, -3*j - 92*h = -95*h + 24 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1815885 to the power of 1\/5, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u**2 - u**2 - 2*u**2)*(2*u**2 - 3*u**2 + u**3 - 10*u + 3*u).\nAnswer: -2*u**5 + 2*u**4 + 14*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1402 - 1?\nAnswer: 1401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 14? (a) -2 (b) 1\/3 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -30993 and 269823?\nAnswer: 300816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-52)\/(-72)*-6)\/(2\/6)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 57.63406 litres?\nAnswer: 57634.06","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.9? (a) 35 (b) -2 (c) 0.14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -101 - -149. Suppose 0 = 2*w + 2*w - x. Calculate the greatest common factor of 132 and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:27 AM and 2:39 PM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 20\/(-14) + (1 - 0). Let b = -15 + 9. Let y be 0\/(1\/(2\/b)). Is m <= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -30034, -30036, -30038, -30040?\n\"Answer: -2*l - 30032","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 5*-1*(-3)\/(-2)*254\/127\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20 - 33 - 2*z + 16 + (z + 0 + 0)*(0 + 0 + 3) - z + 2*z + z to the form y*z + o and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -55 (base 15) in base 5?\nAnswer: -310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23170.\nAnswer: 2, 5, 7, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**3 - 3*x**2 - 5. Let y(h) = -h**2 - 11*h - 14. Let z be y(-10). Let u be s(z). What is the first derivative of 7 - u*t**4 - 6*t**4 - 34 wrt t?\nAnswer: -68*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**2 - 12*c - 19. Let m be p(-10). What is the highest common factor of 2 and m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 57*m - 323. Let w(d) = 20*d - 108. Let l(q) = 3*s(q) - 8*w(q). Let h be l(10). Solve -o - 4 - 19 = -5*i, 3*o + i = -h for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(153) - (sqrt(153)*-2 - sqrt(153)) - sqrt(153) - sqrt(153)))\/(sqrt(9) - (sqrt(36)\/sqrt(64) + sqrt(9))).\nAnswer: 16*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - 0. Let z be (12\/4 + k)*1. Suppose -f + 12 = -3*p - p, z*p = -5*f + 60. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + 2. Suppose 4*d - 1 = 3. Let w = -126610\/7 - -18087. Which is the nearest to d? (a) o (b) -0.5 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/5, 1.4, -5.\nAnswer: -5, -3\/5, 1.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 31254, 127527, 287988, 512643, 801498, 1154559?\n\"Answer: r**3 + 32088*r**2 + 2*r - 837","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-6)\/12)\/((-2)\/4). Let t = q - -4. Suppose t*h - 35 - 140 = 0. Calculate the greatest common divisor of h and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2656 + -2645. Solve 14*u - j = 3 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 4*k + 5*c - 371 = 0, 2*c = -k + 377. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 74657 and 242.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-24)\/270)\/((-14)\/35).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 15\/120 - (-31)\/8. Let w(v) be the first derivative of -j*v - 3*v**2 - 2*v**4 + 7\/3*v**6 + 28\/3*v**3 - 24\/5*v**5 + 2. Factor w(s).\nAnswer: 2*(s - 1)**3*(s + 1)*(7*s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/9 - 20\/(-6). Suppose -3*f = 4*u - 8, m*u - f - 10 = -u. Let p(i) = -i**u + 5*i**2 + 3*i**2 - 2*i**2. Let o(j) = -j. Give p(o(k)).\nAnswer: 5*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q**5\/11 + 8832*q**4\/11 - 750232*q**3\/11 + 23769792*q**2\/11 - 329605632*q\/11 + 1676021760\/11 = 0 for q.\nAnswer: 14, 24, 4330","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1989 + 16148 + 12454)*(0*d - 4*d + 3*d).\nAnswer: -26613*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 1\/1232420 (b) -0.4 (c) -3 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 11 = 4*p, -7*h + 2*p + 22 = -3*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 197.\nAnswer: -4\/197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 309219 + 122*t**2 + 17*t**2 - 309219.\nAnswer: 139*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 837343 and 104.\nAnswer: 6698744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.0944 take away 2410?\nAnswer: -2398.9056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 4*h + 349 + 291 = 0, 3*d + 2*h - 485 = 0. Calculate the remainder when d is divided by 1610\/(-69)*3*(-2)\/5.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z + 0*z - z)*(-1897 + 1897 + 1170*z).\nAnswer: -2340*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g*g**(-2\/3)\/g)\/g)\/g)\/g**(-2\/11))\/(g**(-7)\/(g\/g**(-2\/7))) assuming g is positive.\nAnswer: g**(1340\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**36*l)\/((l\/(l*l*l**17)*l*l)\/l) assuming l is positive.\nAnswer: l**54","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes after 11:56 PM?\nAnswer: 10:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 466750836?\nAnswer: 2, 3, 1440589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/18)\/1*24\/(20\/5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -32 - 115*n**2 + 3*n**3 + 232*n**2 - 117*n**2 wrt n.\nAnswer: 9*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 103000 and 61800.\nAnswer: 309000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(119) + 4*(sqrt(119) + sqrt(119) + sqrt(119)*2 + sqrt(119)))\/(sqrt(7) - -3*sqrt(847)))**2.\nAnswer: 441\/68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((1*sqrt(50) - sqrt(2)) + sqrt(8)\/sqrt(4) + sqrt(2) + -1 + sqrt(2) + sqrt(2) + 4) - (4 + (sqrt(5000) + 2)**2*-3).\nAnswer: 576*sqrt(2) + 14999","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3276.45 plus 696663.48?\nAnswer: 693387.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((5994\/81)\/(-74))\/(2\/(3\/3*2))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -259098 from -0.3.\nAnswer: 259097.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 5*h - 2*h + 183 = 0, -5*m + 341 = 4*h. Let d = -95 + m. Let w = d - -54. Does 12 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 8 = -x. Let z = 113 - 119. Put x, -3, z in descending order.\nAnswer: x, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 675726\/45 + (-2)\/15 - (3 + 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -196*z**5 + 4984*z**4 + 8188*z**3 + 3440*z**2 + 432*z = 0. Calculate z.\nAnswer: -1, -2\/7, 0, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes after 4:03 AM?\nAnswer: 10:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20 + -7. Let j(p) = 9058*p**3 - 13*p**2 - 14*p - 13. Let m be j(t). Suppose 0 = 4*c + m - 5098034. Round c to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.1 + 0.4. Let q = 720.475 - 721.475. What is the nearest to d in -4, q, -3, -0.1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 99.14585t in kilograms?\nAnswer: 99145.85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -606316 + 32?\nAnswer: -606254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 + -11 + 4)*(-2)\/1. Calculate the highest common divisor of 10 and k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-257)\/(-3) + 1 + (-6)\/9. Let y(l) = -5*l**2 - 5*l**2 + 85 - 3*l**2 - u. Let p(j) = -j. Calculate y(p(q)).\nAnswer: -13*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-393)\/(-5) - (2 + 0). Let p = r + -76. Let q = 19 + -17. Which is the third smallest value? (a) p (b) q (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 10) in base 14?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 0*p - 4*p = 17, -2*p - 21 = 5*i. Let z(d) = -2*d. Calculate the remainder when 18 is divided by z(i).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 54 and 2106?\nAnswer: 2106","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/12034 and -65\/2024.\nAnswer: 1107128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -2, 2\/7, -0.3 in increasing order.\nAnswer: -2, -0.3, 2\/7, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -12120331 (base 4) in base 13?\nAnswer: -bbb4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 0, 2, -599, -1\/5, -19?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 y, and 1 f when three letters picked without replacement from {x: 1, l: 2, y: 1, f: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15383 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 8130.239 micrometers in nanometers?\nAnswer: 8130239","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1894 - 317*x - 1894 to r*x + p and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -18*w - 9. Let m be y(-1). Suppose 0 = -4*v + l + 10, -m*v - 7 = -10*v - 2*l. Solve o = -o - 4*u - 10, -v*u = 9 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*q + 1 + 2*q - 2)*(-8 + 2 + 2 - 2 + 1 + 2 - 2 + 3 + 2 + (2 + 2 - 2)*(0 - 1 - 1) - 2 + 1 - 1).\nAnswer: -36*q + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/45 and -17\/665217?\nAnswer: 3326085","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, -26, -3, -0.2, 642?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the second derivative of 7*l**5\/120 - 25*l**4\/24 - 53*l**3\/18 - 2*l**2 - 5*l. Factor c(b).\nAnswer: (b - 12)*(b + 1)*(7*b + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 1983*g + 13872. Determine h(-7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -328137*j + 327726*j + 11363 + 2200 for j.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -5*a**2 - 19*a - 28. Let i(q) = -2*q**2 - 10*q - 14. Let l(h) = -7*i(h) + 3*j(h). Let u be l(11). Calculate the greatest common divisor of 54 and u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17332?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9 and 70978923.\nAnswer: 70978923","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 - (-10 - -1) - 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 884 and 2210.\nAnswer: 4420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6739 is divided by 6689.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10.92 + -11. Let u = a - -4.08. What is the second smallest value in -1\/2, -0.2, u?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 8 = 0, 7*r = 2*r - 4*q + 36. List the prime factors of 61 - (r\/(-6) + 2\/3).\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1872, -7411, -16624, -29517, -46096, -66367, -90336, -118009?\n\"Answer: -z**3 - 1831*z**2 - 39*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 27126880 to the power of 1\/3, to the nearest integer?\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -23850 divided by 225\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**3 - v**2 + v + 115. Let g be t(0). Let f = g + -56. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2589350.\nAnswer: 2, 5, 51787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*y + 25*y + 308490000 = 0. Round y to the nearest one hundred thousand.\nAnswer: -7900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.03982 and 72.\nAnswer: 2.86704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56 - 16 + 139*a - 29 - 11.\nAnswer: 139*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.2090976 rounded to three dps?\nAnswer: 18.209","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 93923929?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 + 4*t**2 + t + 5. Let d be u(-4). Let c = d - 0. Let m = c - 4. What is the nearest to -1 in m, 5, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + (8 - 9) + -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -51*b + 52*b - 4. Solve b*r - 12 = -0*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4946 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 7, 1\/6, 2\/19, -3\/55, -0.4?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 236 (base 7) to base 15\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1948, -3781, -5616, -7453, -9292?\nAnswer: -11133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 843?\nAnswer: 3, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/6 (b) -0.9 (c) -1\/4 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 - 9*(-1 + 0). Suppose 0*g = g + l. Does 14 divide (-42)\/(-4)*(-24)\/g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2317493 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -628*b - 1. Is h(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -24*t. Let o(a) = 3*a**2. Let b(p) = -3*p**2. Let w(m) = -4*b(m) - 3*o(m). Give i(w(u)).\nAnswer: -72*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -2) + 0 + 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together -5.641 and 0.5.\nAnswer: -5.141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 2*j = -10, -4 = g - 5*j + 2*j. Let h = -2\/131 + 135\/262. Determine v so that -h*v**3 + 0 + v**g - 1\/2*v = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*r + 380 = 42*r. What is the greatest common factor of 10 and r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1412*m*w**4 + 128124*m*w - 2*m - 1086*w**6 + 10*w**2 wrt w?\nAnswer: -33888*m*w - 130320*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47091 is divided by 9408.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4601 + 98*y - 9216 + 4615 - 93*y.\nAnswer: 5*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -4*n + 19. Let w(f) = 2*f - 1. What is -g(v) - 4*w(v)?\nAnswer: -4*v - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (107\/214)\/((-2)\/(-52)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 4179, 7159, 10139, 13119, 16099, 19079?\n\"Answer: 2980*c + 1199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 983817127129\/49606431342 - 44\/21930341. Let c = a - -1\/1131. Find the common denominator of 127\/54 and c.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2429.66363 + -622.\nAnswer: -3051.66363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15715810 and 110?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 4)*(6*q + 50 - 50).\nAnswer: -24*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.01 - -13283.\nAnswer: 13282.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - ((-14 - -24) + 10 + -148)?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 390645?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 33873, 67745, 101617, 135489, 169361?\nAnswer: 203233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (8\/(-32))\/(2\/(-32)). Solve -5*c + 12 = 4*j, v*j = -c + 2*c + 12 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/2*(-141)\/(-141).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6543 - 3539764\/541. Which is smaller: m or 0?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3\/13 + 11\/65. What is the fourth biggest value in -0.1, n, -3\/5, 0.2?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -41.9321 + 0.0321. Let b = -40 - x. Let y = 4.3 - b. What is y rounded to zero dps?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7781245837 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 + (18 - 8) + -18 - (1 + 2).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 426 = 2*q + 32. Suppose -n - q = -b + 2*n, 0 = -3*n - 12. Suppose a - 6*a = -b. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 46 + -26. Let b = 18 + -14. Suppose h - 146 = -5*k + 49, -b*h = -k + 39. Calculate the remainder when k is divided by l.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n - 4*g - 12, 21 - 7 = -n - 5*g. Let z be (-12)\/n + (-208)\/4. Round z to the nearest integer.\nAnswer: -49","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times -0.100045\nAnswer: -0.0300135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -104194, -102521, -100848, -99175, -97502?\n\"Answer: 1673*z - 105867","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 340, 1310, 2926, 5188, 8096, 11650, 15850?\nAnswer: 20696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 - 5 - 3*l**4 + 2 + 2*l**3 to w*l**3 + u + n*l**2 + y*l + i*l**4 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b = 3*m + 2*m - 38, 6353*m - 4*b - 40 = 6352*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -10*f**2 - 5598572*f - 6718272 = 0.\nAnswer: -559856, -6\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((-7)\/(-7)*5\/(-2)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*s + 2*s - 73*s to the form p*s + g and give p.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8932 divided by -406.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, -1\/7, -6276, 9\/4?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes after 8:55 PM?\nAnswer: 12:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in 135, 3, -17, 9.7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*z + 2*z - 4*z)*(-26 + 11 - 10)*(-2 - 2 + 2).\nAnswer: 100*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -50345666811 - -1.\nAnswer: -50345666810","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16 - -12 - -9) + -1 - (4 - 21).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i - 0*i + 33. What is the third derivative of i*d**4 + 240 - 3*d**2 - 240 + 4*d**2 wrt d?\nAnswer: 264*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -23127, -5, -1, 0.6, -31\/4?\nAnswer: -23127","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the second derivative of -4*k**7\/7 + 19*k**4\/12 - 5*k. What is the third derivative of r(i) wrt i?\nAnswer: -1440*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 - -44?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-495)\/880)\/9*(-4)\/((-8)\/2)\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 115 = -5*a, -4*a = -8*a + 5*f + 97. Calculate the least common multiple of 54 and a.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -h**5 + 27954*h**4 + 195712*h**3 + 419406*h**2 + 251649*h = 0. Calculate h.\nAnswer: -3, -1, 0, 27961","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 212*t**3 - 406*t**2 + 176*t + 18 = 0. What is t?\nAnswer: -9\/106, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -3*g + 5*g - 3*g**2 + 2 - 2*g. Let r(f) = f**3 + 4*f**2 - 2. Let u = -1 + -2. Let x(b) = u*r(b) - 4*y(b). Differentiate x(w) wrt w.\nAnswer: -9*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -115, -13311\/55, -4 in decreasing order.\nAnswer: -4, -115, -13311\/55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**2 - 9*h - 4. Let p be x(11). Suppose 14*b - p*b = -300. List the prime factors of b.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -93544 divided by -44.\nAnswer: 2126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q + 0*q + 0*q)*(-4 + 4 - 3)*(228 - 92 + 152).\nAnswer: 864*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -20797\/6, -3.2, -0.4, -0.3?\nAnswer: -3.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9103, 16553, 22361, 26533, 29075, 29993?\nAnswer: 29293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**3 - 8*m**2 - 9*m.\nAnswer: m*(m - 9)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2\/1387 + 5538\/6935. Let x = 0.95 + -0.15. Let k = -0.9 + x. Which is the third biggest value? (a) k (b) 2\/3 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 480*j**3 - 2549*j**2 - 206086*j + 46?\nAnswer: 2880*j - 5098","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddd when three letters picked without replacement from dzzdzzzzzdzzzzzzzz.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -137\/12 and 47\/42.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7138 is divided by 6333?\nAnswer: 805","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000119 to 4 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -169\/42 and -109\/36.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 281*s - 1205148 = -1222008 for s.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 29 + -19. Let n = -4 + k. Solve n*v - 2*v + 16 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v + 1165 + 1180 = 0. What are the prime factors of v?\nAnswer: 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31116?\nAnswer: 2, 3, 2593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, -0.2, 16, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 + 5. What is the derivative of 3*m**2 + 1 + v + 1 - 4 wrt m?\nAnswer: 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (8*n + 7*n - 6*n)*(-1 + 1 + 4*n**2) - 2*n**3 + n**3 - 2*n**3 in the form d*n**3 + x*n + s + p*n**2 and give d.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 times 16?\nAnswer: 2800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*t + 0*t = 16*t - 3 + 3 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1211032 (base 8) to base 12.\nAnswer: -14038a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 - -4. Sort 3, n, -3.\nAnswer: -3, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14806921?\nAnswer: 43, 344347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -4, -26, -48, -70?\n\"Answer: -22*i + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15 and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -75, -135, -195, -255?\n\"Answer: -60*b - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -c**5*f**2 + 369*c**5*f + 3710*c**2 + f**2 wrt c?\nAnswer: -60*c**2*f**2 + 22140*c**2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -12ef - 15d6?\nAnswer: -28c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5802*c - 5811*c = -9. Let h(q) be the first derivative of 4*q**2 - 7*q - 6. Let a(o) = -o + 1. Suppose 0 = 2*b + b - 18. Give b*a(k) + c*h(k).\nAnswer: 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 4, t: 14}. Give prob of picking 1 t and 3 o.\nAnswer: 14\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 7\/8 of a kilometer?\nAnswer: 87500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j - 59. Let w be (-12)\/(-28)*68 - 1\/7. Let x be m(w). Let k be x\/(-26) - 24\/156. Which is the smallest value? (a) -3 (b) -1 (c) 1\/4 (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52253 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 175 is divided by 50.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1974? (a) 4 (b) -4 (c) 5 (d) -2 (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the first derivative of 32*a**5\/5 - a**4\/4 + 14*a**3\/3 + 23. What is the third derivative of f(r) wrt r?\nAnswer: 768*r - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 times -12\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*q**4 - 627*q**3 + 104102*q**2 + 709873567*q?\nAnswer: 36*q**2 - 3762*q + 208204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3239*v**3 - 878*v**3 + 4846 - 4846.\nAnswer: -4117*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11604 divided by -6.\nAnswer: -1934","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 6*j - 4*a - 74, -4*j + 108 = -3*a. Let l = j - 22. Suppose -145 + 1473 = l*o. Is 14 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -5137, -20526, -46165, -82054, -128193?\n\"Answer: -5125*n**2 - 14*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1538 and 4133460.\nAnswer: 4131922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 40 + j**3 + 42 - 8*j**2 - 118 + 41 - 6*j. Let i be c(10). Suppose i - 77 = -4*p. Is p at least as big as -16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -599*c + 3609. What is the tens digit of f(0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -39625*c*s - 205*c + 8743816*s + 7 wrt c.\nAnswer: -39625*s - 205","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/110 and 61\/196944?\nAnswer: 984720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*x + 7*x = -99. Let a = -225 - -721. Suppose -d - s = 5 - 123, 0 = -4*d + 4*s + a. What is the highest common divisor of d and x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6*1 + -9*4\/6. Let h(q) be the third derivative of -15*q**2 + t*q - 1\/18*q**3 + 1\/36*q**4 + 0 - 1\/180*q**5. Suppose h(v) = 0. What is v?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - -5. Suppose -v - 1 = -k. Let a = 5 + k. What are the prime factors of a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (4 + (sqrt(176) - (sqrt(176) + sqrt(176) + 2*sqrt(176)*2)) + (sqrt(275) + -5 - sqrt(11)) + -2*sqrt(275))**2.\nAnswer: 52*sqrt(11) + 7442","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 2*i. Let q(k) = -2*k - 4*k + 6*k + 3*k**2. What is f(q(c))?\nAnswer: 6*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 848822742 to the nearest integer?\nAnswer: 947","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 9*c**2. Let q(m) = 20*m. What is q(i(z))?\nAnswer: 180*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13733780*a**2 - 4*a - 1741550 wrt a?\nAnswer: -27467560","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 17120?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 170262*-0.5.\nAnswer: -85131","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 253538?\nAnswer: 2, 17, 7457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1234 is divided by 394.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -789.37 and -0.09.\nAnswer: 71.0433","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3310 and 18?\nAnswer: -59580","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 639 = -4*f - 1397. Let c = 4652\/9 + f. Calculate the common denominator of c and 53\/2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -6*s - 29. Let v(t) = 3*t + 13. Give -6*a(p) - 13*v(p).\nAnswer: -3*p + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 9) in base 8?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*o + 16 - 16 + (3 + 3 - 5)*(-7*o + 11 - 11))*(-6*o**2 - 54*o + 54*o).\nAnswer: 114*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*y**2 - 1 + 5 - 8 to the form b + s*y**2 + t*y and give s.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**3 - 11*c**2 - c - 9. Let v be m(-11). Suppose 63 = v*f - 115. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4621 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*b + 1758 - 167 = 40 for b.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7279*b - 3826*b + 8*b**2 - 3453*b.\nAnswer: 8*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -4*o**3 + 40*o**2 + 272*o - 672. Determine z(14).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 670 = 7*g + 642 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.05826571228 to 4 decimal places.\nAnswer: 0.0583","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**(-3))\/(s\/(s**6*s)*s))**(3\/11) assuming s is positive.\nAnswer: s**(27\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -148 = -5*s - 3. Let o be 5\/(-2)*12\/(-15). What is the units digit of s - 1*(-6)\/o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 a factor of 26021?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*j - 135 = -11*j - 13*j + 65*l, 3*j - 5 = -5*l for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/3)\/(((-132)\/18)\/(-11)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-12)*z*z**(-9)\/z)**(-5\/8)\/((z\/z**(-2\/3))**(5\/11)\/(z*z*z*(z*z**(3\/7)*z)\/z*z**6*z)) assuming z is positive.\nAnswer: z**(43975\/1848)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1539*q = 1507*q + 384 for q.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 9 - 2)*(-4*n + 3*n + 0*n) - n - 3 + 3)*(-18 + 33 - 13) - 4*n + 3*n - n.\nAnswer: -14*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*y - 43 = -127 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) - (4 + -1*sqrt(7)) - (sqrt(7) + 2)*3 - (sqrt(28)*-2 + 0 + sqrt(28) - sqrt(28)))**2.\nAnswer: -60*sqrt(7) + 163","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6100735 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the second derivative of y**4\/4 + y. Let q be z(-1). Suppose -h = c - 3*h + 10002, 5*c - q*h = -50003. Round c to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x**1*x))**(-7))**14*(x*x**(4\/5)*x*x\/x**(-5))\/(x**0*x*x)**(-2\/41) assuming x is positive.\nAnswer: x**(21914\/205)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -271b60 (base 14) to base 4\nAnswer: -11021132220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 28 = 5*x, 3*s + 3*x = x - 20 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 247 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 56256183754 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y\/y**5))**(24\/11) assuming y is positive.\nAnswer: y**(120\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 26671106 to the nearest integer?\nAnswer: 5164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 15 - 9*c**3 + 10*c**3 - 4*c**3 - c in the form q*c**3 + v*c**2 + s + n*c and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42909523.\nAnswer: 42909523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11 - 1) + 3 + 9 + -14.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -10*c + 22. Let g be i(2). Find the common denominator of 13\/100 and -1*g + (527\/(-12))\/(-17).\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -132 + -99788609.7?\nAnswer: -99788741.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.270811861 rounded to 4 dps?\nAnswer: 0.2708","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.002 - 0.002. What is the biggest value in -3, r, 5, 2\/11?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 9}. Give prob of picking 2 n.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*r - 73*r + r**2 + 126 + 16 - 19 + 43.\nAnswer: (r - 83)*(r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/6 - 255\/(-153). Solve -5*q + 3 = -b for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.13, 0, -0.48, -1\/3 in descending order.\nAnswer: 0.13, 0, -1\/3, -0.48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 15, -41*a + 36*a = -2*j + 9173. What are the prime factors of j?\nAnswer: 2, 2287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52 is divided by 25.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20*y - 5 + y + 3)*(3 + 0 - 1)*(3 + 2*y**2 - 3).\nAnswer: 84*y**3 - 8*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 2 + 8 = 0. Let g(w) = w**3 - 4*w**2 - 6*w + 1. Let o be g(z). Let r = -118 + 116. Which is the second smallest value? (a) r (b) -2\/15 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-7 - -12)\/(1 + 0). Suppose 6*l + n - j = l, -2*l - 4*n + 2 = 0. Which is bigger: l or -2\/173?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15*c**3*s**5 + c**3*s - 5*c**2*s + 19904*c*s**5 - c*s - 144*c + 5*s wrt s?\nAnswer: -300*c**3*s**3 + 398080*c*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 57820578, 115641146, 173461714, 231282282, 289102850, 346923418?\nAnswer: 404743986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-46)\/8)\/(42\/24). Let t = 24\/7 + z. Which is the third biggest value? (a) 5\/6 (b) t (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.5 - -0.3. Let w = -0.28 - 2.12. Let o = 0.4 + w. What is the second smallest value in -0.1, o, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = w + 1, 0 = -26*w + 24*w + s - 6. Sort -7, -28, w in ascending order.\nAnswer: -28, -7, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -11*c**2 + 5*c - 1. Let j be x(2). Let u = -30 - j. Suppose 0 = a - 4*m - 87 + 5, -25 = -u*m. What is the tens digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 5*c - 1. Let y be f(1). Suppose 0 = 4*b - y*t, 0 = -b + 3*t - 6*t + 8. Suppose -b*x - 9 = 2*k + 3*k, -2*x = -5*k - 21. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13, -4, -47, -128, -259, -452, -719?\nAnswer: -1072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 4*c**5 - 500*c**4 - 21412*c**3 + 3141908*c**2 = 0.\nAnswer: -77, 0, 101","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**2 + u + 1. Let v(m) be the third derivative of -m**5\/5 - 3*m**4\/4 - 3*m**3 + 143*m**2. Give -36*c(p) - 2*v(p).\nAnswer: -12*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -7904*d + 3074655. What is f(389)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 166, 164, 162, 160, 158?\nAnswer: 156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (0 + 5 + (-12 - -5)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -96 divided by 4.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*-1*sqrt(13)*-6)**2 + (sqrt(91) - (sqrt(91) + sqrt(91) + (sqrt(91) - (sqrt(91) + 2*sqrt(91) + sqrt(91))*-5)))\/sqrt(7) + -2)*-6.\nAnswer: -11220 + 132*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 41707308.8 rounded to the nearest one hundred thousand?\nAnswer: 41700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1916961203 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2\/2739 + -5725\/2739. Find the common denominator of d and -51\/4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 321, 313, 291, 249, 181, 81, -57, -239?\nAnswer: -471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 696439?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2*(-5)\/(-1)*-1. Let q be (-120)\/100 - 12\/(-15). What is the smallest value in q, 0, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 688296 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -113075, -113081, -113087, -113093, -113099, -113105?\n\"Answer: -6*a - 113069","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/3, -6, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 14*i**2 - 8*i - 63. Calculate v(-5).\nAnswer: 327","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-9)\/((32\/28)\/(-8)). Let u = g - 63. Suppose -2*v + 125 = 3*v. Solve u = -5*s + 3*q - v, 4*s - 4*q + 0 + 20 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14 + -1 + 9 + (-5 - 0)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 1 + 0)*(325 - 249 - 678)*(-3*p + 3*p - 2*p) in the form j*p + d and give j.\nAnswer: -2408","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**2 + 1767*q + 1770.\nAnswer: -3*(q - 590)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the third derivative of -4\/45*r**5 - 5\/18*r**4 + 0*r + 1\/30*r**6 + 4\/9*r**3 + r**2 - 9. Factor x(d).\nAnswer: 4*(d - 2)*(d + 1)*(3*d - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*q + 723 = -832 - 95. What is the smallest common multiple of q and 15?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2.1 (b) -2 (c) -0.1 (d) -0.2 (e) 7\/12 (f) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does -617399\/41 = -15059?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 8326919 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-22)\/((f*f**(-2\/73))\/f) assuming f is positive.\nAnswer: f**(-1604\/73)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 14302 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1, -45, -3183 in decreasing order.\nAnswer: -1, -5, -45, -3183","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14795 - 1973 = -64*a. Which is greater: 0.1 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2 - 2013*c - 24012.\nAnswer: -(c + 12)*(c + 2001)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 2*r**2 + 4*r. Is 15 a factor of p(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -11*g - 2. Suppose 0 = -3037*r + 3035*r - 4. Let h(p) = -494*p - 91. Calculate r*h(j) + 91*q(j).\nAnswer: -13*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the second derivative of -n**5\/8 - 7*n**4\/24 + 2*n**3\/3 - 45*n. Let p(z) be the second derivative of o(z). What is the tens digit of p(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*-6*sqrt(20)\/sqrt(4)*1 + ((sqrt(270) + 2*(sqrt(270) - (sqrt(270) + sqrt(270)*-1 - sqrt(270)) - sqrt(270) - sqrt(270)))\/sqrt(6))**2.\nAnswer: 45 + 30*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 29193 or 29192?\nAnswer: 29192","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 47 + -104. Let z = k + 73. Find the second derivative of z*h + 23*h**5 - 13*h + 14*h wrt h.\nAnswer: 460*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2*y**2)*(0*y**3 + 5*y**3 - 3*y**3)*(-22 + 3 - 2).\nAnswer: -84*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 34.2 to the nearest integer.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -47138, -377148, -1272900, -3017264, -5893110, -10183308, -16170728, -24138240?\nAnswer: -34368714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - 5*h + 19 = -3*s, h - 36 = -6*s + 23 - 16 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 76064895?\nAnswer: 3, 5, 829, 2039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 44?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 966 - 961. Let x = 15250\/7 - 2146. Let i = x + -32. Which is the closest to -0.2? (a) -5 (b) v (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 23 + -22. Let y = w + 3. Let p(o) = o**2 - 5*o + 8. Let h be p(y). Solve 0 = h*x - 4*n + 36 - 4, -x = 2*n - 1 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*q**3 - 168*q**2 + 1905*q\/2 - 2475\/2.\nAnswer: -3*(q + 33)*(2*q - 5)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11\/(-44)*8)\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 206 - 1651\/8. Let q be (-7)\/(-20) - (-30)\/(-40). What is the closest to l in 0.2, -0.2, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - -23) + (15 - (19 - -4))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p + 4*x + x + 738, 2*x = -5*p + 1816. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 46 + -47. Which is the closest to -3\/8? (a) -1\/8 (b) o (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22529412 to the power of 1\/6, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (50 - 30 + 16)*(z + 2 - 2)*(5 - 2 - 9 + (-2 - 3 + 4)*(1 + 1 - 1))*(-2 + 2*z**4 + 2).\nAnswer: -504*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 6048 divided by -56?\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3400 and 85?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-889*s - 1542*s + 937*s)*(1 + 1 - 3) + (0*s + 2*s - 4*s)*(-3 + 5 + 0) - 1 + 1 + s - s + 1 - 1.\nAnswer: 1490*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(48)*3)**2 - (sqrt(15)\/(sqrt(20)\/sqrt(4)))**2*-4) + (4 + -1*sqrt(12) + 4)*-4.\nAnswer: 8*sqrt(3) + 412","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 72984?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the first derivative of -3\/2*z**2 - 1\/4*z**4 + 0*z + 0*z**3 - 3. Find the second derivative of o(y) wrt y.\nAnswer: -6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2784334799 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 188*k + 167*k - 97*k)*(-5 - 18 - 3)*(k - 3*k + 4*k).\nAnswer: -13416*k**2 - 156*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are 821 and 821 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(2\/11)\/h)**(-5\/2) assuming h is positive.\nAnswer: h**(45\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2201200202 - 11?\nAnswer: 2201200121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -17*z**2 + 267*z + 84. Let n be p(16). Solve 6 = i + 5*l, -6 = -n*i + 63*l - 65*l for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8146647709 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8\/(-14)*1729\/(-26). Let l = m + -31. Solve 2*c + l = 3 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**3 - 39*s - 20. Determine r(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 5*t - t - 5 - 2*t**4 + 6*t**3 + 3 as b*t**3 + z*t**2 + u*t + w + s*t**4 and give b.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153) + -3 + -2)**2.\nAnswer: -30*sqrt(17) + 178","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 152\/10 - 1\/5. Let w be 2\/8 - 69\/(-12). What is the greatest common divisor of w and z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**2 - 3*n - 126. What is m(0)?\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-27 - -32) + (10 + -14 + -6 - -2 - -51).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -18158304, -36316604, -54474904?\n\"Answer: -18158300*u - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the third derivative of 11*f**4\/12 - 13*f**3\/3 + 3*f**2 - 78*f + 2. Determine u(4).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -50 + 63. Calculate the greatest common factor of 26 and q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 219 divide 358284?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17 - -19. Let i(w) be the first derivative of -1 + 1\/4*w + 1\/3*w**3 - 5\/8*w**l. Solve i(k) = 0 for k.\nAnswer: 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12657 is divided by 3043?\nAnswer: 485","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 578672 and 343616?\nAnswer: 210636608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 5, k: 14}. What is prob of sequence gkg?\nAnswer: 140\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1873, 3679, 5319, 6709, 7765?\nAnswer: 8403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 67524?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2329 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.7 - -1. Let d = j + 0. Let c = d - -0.69985. Round c to four dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 less than 0.259682808?\nAnswer: 0.759682808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*i + 51 + 25 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/5*45\/18)\/((-13)\/286*1)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 2 h when three letters picked without replacement from {h: 2, u: 1, e: 1, k: 4, b: 1, r: 6}.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30120 (base 4) to base 12.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 375196.5mg?\nAnswer: 375.1965","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1092, -911, -730, -549?\nAnswer: -368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:00 PM and 5:55 PM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6078 and 192?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 4*j**3 - 2722*j**2 - 1224*j - 93957. What is g(681)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**3 + 4*q**2 - 5*q + 5. Let x be v(2). Suppose -3*c + 5*i = x*i - 5, -3*i = -15. Solve -7 - 13 = -c*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 44 and 2210.\nAnswer: 48620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14567?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - (-6 - -19) - (1 + -5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w - 3. Let x(o) = 4*o**2 + o - 1. Let u be x(1). Calculate the remainder when 1 is divided by y(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 11*g = -15*g + 1 - 169, -v = -5*g + 27 + 21 for v.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the first derivative of -h**2\/2 - 2*h - 9. Let w be k(-6). Factor 0*s**w + 2*s**4 + 4*s**2 + 6*s**3 + 0*s**2 + 0*s**4.\nAnswer: 2*s**2*(s + 1)*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9763657213 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 + 22\/(-9))*(-27)\/6. Let d be p + -8*-1*3\/6. Let s be (-2 - 0)\/(d\/(-27)). Calculate the greatest common factor of s and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27, -21, -92, -2, -5, 4 in ascending order.\nAnswer: -92, -21, -5, -2, 4, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m - 8. Let g be l(-10). Let k(o) = -15*o**2 - 1 - 2*o**2 - o + g*o**2. Suppose 0 = 5*h + 3*c - c - 1, -3 = -c. Calculate k(h).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i - 2*i - i)*((-4 + 4 - 2*i)*(-4 + 3*i + 4) - 42 - 4*i**2 + 42).\nAnswer: 30*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4.11? (a) -3 (b) -0.3 (c) -1 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.12921 * 2\nAnswer: -0.25842","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 - -22. Suppose 0 = -0*m + 3*m - g. Let s(p) = -p**3 - 5*p**2 - 2*p - 5. What is the smallest common multiple of m and s(-5)?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the third derivative of f**5\/110 + f**4\/22 - 63*f**3\/11 - 562*f**2. Determine s so that l(s) = 0.\nAnswer: -9, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of (11\/5 + -1)\/(20\/150)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times 0.05\nAnswer: 0.005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -34, -10, -4 in ascending order.\nAnswer: -34, -10, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-7\/2))**31 assuming t is positive.\nAnswer: t**(-217\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 13884, 13994, 14258, 14742, 15512, 16634?\n\"Answer: 11*v**3 + 11*v**2 + 13862","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2549071*n*o**2 - 2*n*o - 43028*n - 2*o wrt o.\nAnswer: 5098142*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**2 - 5*w + 2. Let j be z(-4). Let q = j + 1. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -123 - 6?\nAnswer: -129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**2 - 3*s - 5. Let p be c(5). Suppose -3*l + 30 = -p*l. Let r = l - -226. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 184 = 4*q - 2*l + 14, 25 = -5*l. Suppose h - 1 = 0, -2*h - 3*h - q = -3*c. Let y = 26 - c. Is 11 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**3 + 3*r**2 - 2*r. Let w be d(-3). Find the second derivative of 10*y - 7*y - w*y + 27*y**5 + 0*y**5 wrt y.\nAnswer: 540*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 3 q when four letters picked without replacement from {a: 1, s: 4, q: 5, b: 3}.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 815977 or 815975?\nAnswer: 815977","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -35 + (-46 - -89) + -45\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is a734 + -64?\nAnswer: a6d0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 4*v**4 - 5*v**3 + 8*v**2 - 5*v - 5. Let o(t) = t**4 - t**3 - t - 1. Let k(j) = b(j) - 5*o(j). What is the third derivative of k(r) wrt r?\nAnswer: -24*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f = y - 15*f - 35, -4*f = 20. Which is smaller: y or -11\/535?\nAnswer: -11\/535","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*q = -f - 48*q + 2, -2*f - 3*f = 19*q - 18*q - 4 - 6 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1 (b) -4 (c) -4\/5 (d) -3\/109 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b + 3*b - 2 + 0)*(13 - 13 - 4*b).\nAnswer: -8*b**2 + 8*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = 2*w + 23*h - 26*h, 41 = -5*w + 4*h for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -3*v + 16*v + 3 - 6*v - 2*v + 0. Let q(g) be the second derivative of g**3\/3 + g**2\/2 + g. Calculate -11*q(m) + 4*s(m).\nAnswer: -2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 8*(87\/(-464))\/((-1)\/2)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*1*4\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 + -13 + 18 + 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 12962497.3 to the nearest 1000000.\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-6)\/(0 - 2)*(-12252)\/(-18)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 64*t**5\/3 - 3536*t**4 + 565052*t**3\/3 - 11522045*t**2\/3 + 16995539*t + 620445710\/3 = 0.\nAnswer: -5, 113\/4, 86","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(480)\/(sqrt(10) - 1*sqrt(90))*-6.\nAnswer: 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3*(-66)\/702 - (104\/(-24))\/(-13). Let i = 1 - 0. What is the nearest to 0.1 in -6, f, i?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -32 + -209. Let p = d - -247. Solve 0*n + 2*l - p = -2*n, 6 = -3*l for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 25*v**2 - 21*v - 57. Let r be m(-12). Suppose 74*t = 85*t + r. Is t <= -344?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**3 - 67*m**2 + 747*m + 281. What is k(10)?\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13278 is divided by 949?\nAnswer: 941","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that t**3\/3 + 14979659*t**2\/3 + 18699194462733*t + 93495847483215 = 0.\nAnswer: -7489827, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20238 and 163854.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8634*-0.1.\nAnswer: 863.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13\/17 - 161\/255. Which is the closest to -1? (a) 0.2 (b) -0.2 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -27*c. Let w(i) = -2*i**2 + 22*i + 11. Let q(u) = u**2 - 12*u - 6. Let s(h) = 11*q(h) + 6*w(h). Calculate r(s(g)).\nAnswer: 27*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 4*r + 2*r + 28 - 10.\nAnswer: -2*r + 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**3 + 29*v**2 - 62*v - 1807. Calculate k(-29).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes after 7:48 PM?\nAnswer: 6:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -104, -292, -454, -578, -652?\nAnswer: -664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17789045 and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f + 11. Let r be g(-6). Suppose 4*k - 11 = -i + 2*k, 4*k = -r*i + 31. Suppose i + 3 = -3*v. Which is the biggest value? (a) -4 (b) -0.5 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -233, -336, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 16 = -5*z + 13, z + 3 = -4*c for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 1318 = 1318?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**2 + 2*r + 3. Let g be w(2). Let u = 4 + -2. What is the greatest common factor of g and u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 1553?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = -5*s + z + 2*z, -5*s + 2*z = -33. Suppose s*x - 1691 = -166. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1858354 and 6828?\nAnswer: 1138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 328*u - 12793. Determine y(39).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -2*z**2 - 3*z - 3. Let s = 118 + -121. Determine n(s).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the first derivative of s**3 - 3*s**2\/2 - s + 35. Let m(w) = -w**2 + 5*w - 1. Let v be m(4). What is the units digit of k(v)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 - (-21)\/(-30)*28\/49. Is t at least 57\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*g**3 - 5*g**3 + 0*g**3 + (3*g**2 + 2*g**2 - 4*g**2)*(-g - 2*g + 5*g).\nAnswer: -10*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.0138 + 3.9862. Which is the closest to -2\/3? (a) -2\/3 (b) k (c) 0.04 (d) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 3*a - 3*i + 460 = 0, 0 = 3*a + 3*i - 1374. Let p = a - 455. Solve t - 5*k = -11, -k = -2*t - 2 - p for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 84073?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Total of -22.12357331 and 3514.\nAnswer: 3491.87642669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (6\/8 + 70\/28)*272?\nAnswer: 2, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 1470 = 7*c. Suppose -37 + 0 = -q. What is the remainder when c is divided by q?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99*n = -92*n - 14. Solve -2*y + n = 6 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.14 + 4.3. Let t = b - 0.16. Is t at most as big as 13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/4596 and -121\/2298.\nAnswer: 4596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2089381.\nAnswer: 7, 298483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h - h + 2*h**2)*(-1 - 12 - 1)*(-54*h + 110*h + 4*h).\nAnswer: -1680*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 + 3853?\nAnswer: 3852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in l**3 - 5*l**3 - 14*l - 10*l + 2*l**3.\nAnswer: -2*l**3 - 24*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -2*h**4 + 6*h**3 + 6*h**2 + 6*h + 10. Let x(l) = -l**3 - l**2 - l + 1. Let z(q) = p(q) + 6*x(q). Differentiate z(j) wrt j.\nAnswer: -8*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s**4 + 3*s**4 - s**4)*(254*s + 249*s + 107*s)*((-4 + 5 + 0)*(-3 + 0 + 1) - 4 + 1 + 4 + (5 + 0 - 3)*(-2 + 1 + 0)).\nAnswer: -3660*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 654159446?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -5*v + 42. Solve v*f = f + 8 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 639639 is divided by 112?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1398109469.1 and -0.2.\nAnswer: 1398109468.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1223 = -20*l - 308*l + 1729 for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 344 is divided by 117?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 28800863?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 177 and 10325?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2394534?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**3 + m - 6. Let l be g(-2). Suppose -4*i + 25 = -j - 4*j, j + 5 = l. Solve -2*v + 2 = -i for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 + ((6 - 3) + -4 - -10).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 7*s. Let f be 2 - (s - -2 - 4). Solve 0 = f*a - 4 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*x = -11*x - 2. Sort 4, 8, 5, x in descending order.\nAnswer: 8, 5, 4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.002 and -24?\nAnswer: -0.048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-25)\/80*-1*2*28\/(-70).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -277*t - 5*t**2 + 478*t - 3 - 203*t + 3.\nAnswer: -5*t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -275*j**2 + 2003*j**2 + 1790*j**2 - 30*j**6 + 316*j**6 + j**3 wrt j?\nAnswer: 34320*j**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/3)\/(2\/12). Let v = -1 - g. Solve -4*d + v = -1 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16 - 19. Let m(x) = -276592*x - 5. Let s be m(o). Suppose -s = 3*g + 10229. Round g to the nearest one hundred thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (2*sqrt(17))**2 + 1 + (sqrt(833) - (-4 + (sqrt(833) - (sqrt(833) + 0)**2))).\nAnswer: 905","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33023451 (base 6) to base 2.\nAnswer: 11110000000010010111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 165 + 2?\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7767 + 7767. Solve 4*m - 2*s + 6 = n, -4*m - s = -5*m - 4 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c**3\/3 - 9404*c**2 - 1192842*c - 37657872 = 0. Calculate c.\nAnswer: -63, 14232","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8884, -17485, -26086, -34687?\nAnswer: -43288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 5*q + 25 = 0, 2*h = q - 16 - 3. What are the prime factors of (-610)\/3*(2 - (-35)\/h)?\nAnswer: 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -86 + 689\/8. Suppose 3*h + 2*s + 1 + 0 = 0, 0 = -h + 4*s - 5. Is b < h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11508*v**3 - 544*v - 4*v**2 + 11504*v**3 - 23010*v**3 to the form o*v + w + l*v**3 + y*v**2 and give y.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes after 5:58 PM?\nAnswer: 10:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3382968 rounded to 3 decimal places?\nAnswer: -0.338","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 402?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -105784441 greater than or equal to -105784449?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in u**2 + 166*u - 250*u - 220*u + 134*u - 955*u.\nAnswer: u**2 - 1125*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Total of 290922 and 1206.\nAnswer: 292128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 109 - 40. Let u be (1 + 14\/(-10))*-5. Factor -3 + z*h**2 + 4 - 70*h**u.\nAnswer: -(h - 1)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j**2 - 3*j**2 - j**2)*(1537 - 3263 + 1372 + (3 - 5 + 1)*(1 + 4 - 3) - 2 + 0 + 3 + 1 + 2 - 4).\nAnswer: 712*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-1*sqrt(475) + -5 + -1))**2*5.\nAnswer: 1200*sqrt(19) + 10220","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -718 = 24*q + 38*q + 26 for q.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f + 12. Suppose 0 = -6*l + 2*l + 36. Let p be x(l). Let v(s) = -4 + 0 + s**3 + s + 4. Let g(t) = 2*t**3 + 3*t + 1. What is p*v(z) - g(z)?\nAnswer: z**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**3 + 215*m**2 - 217*m - 78. What is n(-216)?\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m = 3*x + 21, -81 + 75 = 3*m - x for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 55793 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 441 is divided by 199.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -29\/282 + -3\/47. Which is the nearest to -5? (a) -2 (b) -0.4 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**3 - 9*k**2 - 8*k - 5. Let m be h(-8). Let d(j) = 3*j. Let n(t) be the third derivative of -t**4\/6 - 53*t**2 + 2. Determine m*n(s) - 6*d(s).\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 100330 or 100328?\nAnswer: 100328","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17692828, -17692825, -17692822, -17692819, -17692816?\nAnswer: -17692813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-55 - (5 + -104))\/(-4).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18 - -22. Solve -f = -4*p + 3, v*f = 2*p + 4 + 12 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 15\/259, 0.1 in decreasing order.\nAnswer: 0.1, 15\/259, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.504 from 0.03.\nAnswer: 0.534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkn when three letters picked without replacement from nnknnknk.\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*w - 2*w - w)*(0*w - 3*w + 4*w) in the form h + f*w + p*w**2 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, -10, 0.3, 11\/8, 11, 0.4?\nAnswer: 11\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/43, 0.7, 27, -0.2, 3 in descending order.\nAnswer: 27, 3, 0.7, -2\/43, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**3 + 1340*q**2 + 8038*q + 203. What is a(-6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 6*n - 7. Let g be a(5). Suppose -12*h = -g + 11. Solve r - 2 - h = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-4))\/(-20*22\/1408)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 21 + -16. Suppose -5*g - 5 = 7*k - 2*k, -i*k = -4*g - 13. Let q(w) = 2*w**3 + 2*w**2 + 2*w + 2. Calculate q(g).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -167548 divided by -6?\nAnswer: 83774\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2215 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 3*u = -1 + 19, 3*d + 2*u - 13 = 0. Suppose -x + d + 0 = 0. Solve x*t + 0*t - 6 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 3*f - 22. Let i be n(8). Let x be -2*(-294)\/14*i\/6. Suppose -4*d = 8, -3*d = -6*y + y - x. Which is the biggest value? (a) 44 (b) y (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -2\/31, -3, -2\/3, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 7*b**3 + 4*b**2 - 4*b + 1. Suppose -6*n = -9 + 3. Let u be m(n). Solve j - 3*d + d = 3, -2*j - 3*d - u = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**3 - p**2 - 3*p - 7. Give j(-3).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 151 is divided by 102.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2436005 and 7527.\nAnswer: 1410446895","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iffififiifii. What is prob of picking 2 f and 1 i?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 165 - 161. Suppose -5*a - 8 = n*h - a, 3*a + 6 = 0. Solve h = -16*d + 18*d + 10 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -126*c**3*q**3 - 14*c**3*q + 3*c**3 + 38546*c**2*q**2 - 8*c**2*q - 2*c - q**3 - 51*q wrt q?\nAnswer: -756*c**3*q + 77092*c**2 - 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 4*a**3\/5 - 20588*a**2\/5 + 26274112*a\/5 + 560872704\/5 = 0.\nAnswer: -21, 2584","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -27*h**3 + h - 1 + 3*h**2 - 11*h**3 - 3*h**2 - h**2 - h**3. Determine g(1).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6313320 and 3933.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -15*r - 1. Let m(w) = -39*w + 3. Let n(v) = -54*v + 2. Let i(c) = m(c) - n(c). What is -3*i(j) - 2*u(j)?\nAnswer: -15*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand y**2 + y - y + (-126*y + 11*y - 90*y)*(-2 + 2*y + 2).\nAnswer: -409*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 28824 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5749033 + 0.01089.\nAnswer: 5749033.01089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -431 + -3456?\nAnswer: -3887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 3234 = -6*w. Let b = 304 - w. Which is greater: b or -1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -163120 * 1.\nAnswer: -163120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1101 - 2?\nAnswer: -1110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 636 + 509 = 5*j. Suppose -4*u - r = -j, 5*r + 10 + 42 = u. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 148350 divided by 690\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -61314276, -122628557, -183942838, -245257119, -306571400, -367885681?\nAnswer: -429199962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**2 + 2653329*n + 79602570.\nAnswer: -3*(n - 884473)*(n + 30)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 150 = -156. Solve 2*j - 16 = -v for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/18 - 55\/3. Let p = b - -10. Find the common denominator of 15\/22 and (-1)\/(-3)*294\/p.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -46*c - 48*c + 175 + 16 + 148*c + 53. Let v be z(-5). Which is bigger: -27 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 + 35 = 7*v for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4050b (base 13) in base 6?\nAnswer: 2244512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 2*c**3 + 139*c**2 - 157*c + 2013. What is d(-71)?\nAnswer: -1963","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5)\/(-2)*216\/90. Suppose -t*z = -14683 + 217. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, h: 3}. Give prob of sequence hh.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8738, -16066, -23390, -30710, -38026, -45338, -52646?\nAnswer: -59950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 58743, 58741, 58737, 58731, 58723?\n\"Answer: -p**2 + p + 58743","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 78548.\nAnswer: 2, 73, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 4*c**2 - 4*c + 3. Let u be m(2). Let r(f) = 4*f. List the prime factors of r(u).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(-4\/7))\/k)**19 assuming k is positive.\nAnswer: k**(-76\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/17))**44*(d**21\/d)\/(d**(-4\/9)*d) assuming d is positive.\nAnswer: d**(2183\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -18.0453451 + 23.588\nAnswer: 5.5426549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17\/249437 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 145*w - 79*w = -45*w - 66*w - 7788 for w.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2205)\/98*(-4)\/6. Calculate the highest common factor of k and 69.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p\/(p\/p**(4\/9))*p)\/((p\/p**(-5\/3))\/p*p))**(4\/23))**47 assuming p is positive.\nAnswer: p**(-376\/207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(264)\/(1*sqrt(972) - sqrt(972) - sqrt(12)))\/((sqrt(128) - (sqrt(128) - (-1*sqrt(128) - sqrt(128)))) + sqrt(18)*-3)*6.\nAnswer: -12*sqrt(11)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -25 - -31.2. Let f = -6.200188 + l. Round f to 5 decimal places.\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 127, 0, 1, -2, 5 in descending order.\nAnswer: 127, 5, 1, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 8*o**4 + 40*o**3 + 67*o**2 + 61*o + 21. Let v(k) = -44*k**4 - 220*k**3 - 368*k**2 - 336*k - 116. Let g(p) = 28*j(p) + 5*v(p). Factor g(r).\nAnswer: 4*(r + 1)**3*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4200861 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06302 rounded to two dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*p + 5*r, 10*r - 5 = 5*r. Find the third derivative of -3*i**2 - i**3 - p*i**2 + 6*i**2 - i**2 wrt i.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11128 and 2617862.\nAnswer: 2782","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the second derivative of i**5\/20 - i**4\/4 - 7*i**3\/6 - i. Let a(b) = -b**2 - 15*b - 9. Let k be a(-14). Give l(k).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 446025 is divided by 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 15 = -6*r + 4*r, -3*r + 3*j = -27. What is the highest common divisor of r and 384?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 2*i + 6. Solve 0*f = -f - i for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1054641489 - -0.5.\nAnswer: -1054641488.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 6*p + 1244. Give g(-208).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 70 - -37. Let y = 234 - w. What is the remainder when y is divided by 32?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 73876907?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -444.769385 to the nearest 10.\nAnswer: -440","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 19 times -722\nAnswer: -13718","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5475 (b) 0 (c) 5 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 175 = 2*u. Suppose 2 - 2 = -10*q. Suppose 14*t + 158 - 648 = q. Is t at most as big as u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1219 + 15856\/13. Let i = x - 179\/221. Sort i, 0, 0.1 in decreasing order.\nAnswer: 0.1, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2072941*a**2*t**2*v - 26*a**2*t - a**2*v + 194*a*t**2*v - 8*a*t**2 + 50*a*t*v - 44*a wrt a?\nAnswer: 4145882*t**2*v - 52*t - 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06 times -107.2?\nAnswer: -6.432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 556 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = u - 2*u + 466, 0 = 4*u - 4. Let o = 27 + f. Let h = o - -244. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8220 and 8905?\nAnswer: 685","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 31*c - 2552. Give t(82).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5464301 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/11? (a) -0.4 (b) -4 (c) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -2*j + 11. Let d be s(-9). Let a = 61 - d. Suppose -5*b + 38 = -a. List the prime factors of b.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the second derivative of -7*h**3\/6 - 9*h**2\/2 - 2*h. Let l be p(-3). Solve 4*b = b - l for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 815b (base 12) to base 4.\nAnswer: 3123113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -348.8 - -349. Which is the fourth biggest value? (a) y (b) 11 (c) -0.02 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 50 - (-4)\/1 - -1. Suppose -3*o - 214 = -0*q - 4*q, -63 = -q - 4*o. Let v(w) = p - q + w. Let d(l) = l. What is v(d(g))?\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 145687 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 20.9 - 21. What is the nearest to r in 1, -1\/11, -2?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -42212?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.33696*-0.0258\nAnswer: 0.008693568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47 = 5*j + r, 2148*r - 2143*r - 26 = 4*j for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -3*u - 1 + 3*u + 0 + u. Calculate the least common multiple of y(4) and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 286\/9 + 6\/27. Let f = 4 - 32. Let s = a + f. Let j(d) = -4*d + 4. Determine j(s).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8013 rounded to the nearest one hundred?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.64 times -87865?\nAnswer: 56233.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the third derivative of 0*w**6 + 0*w + 0*w**3 + 0 - 1\/90*w**5 - 4*w**2 + 0*w**4 + 1\/315*w**7. Find u, given that t(u) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 27795 + -27492. Calculate the remainder when 508 is divided by a.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3006*r + 39808 + 65416 + 21384 = -82*r for r.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(-8))\/(n*n*n**(-3\/8)\/n)*n*n**(-5\/4)*n**(2\/19)*n*n)\/((n**(-2))**22\/(n*n*n\/n**2*n**(-4\/7))) assuming n is positive.\nAnswer: n**(41133\/1064)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**22*s)\/s)\/s**(-21)*s*s**(-1\/4)*s\/((s\/(s\/(s**(-6\/13)\/s)))\/s) assuming s is positive.\nAnswer: s**(2455\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the first derivative of 18 + 0*g**4 + 0*g + 2\/3*g**3 - 2\/5*g**5 + 0*g**2. Let d(s) = 0. What is s?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -3 + -4 + 2 + -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 383 and 380 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 - a07a2ad?\nAnswer: -a07a2b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*p**5 + 4*p**5 - 2*p**5 + (-2*p + 3*p - 3*p)*(-242493*p + 242493*p - 1964*p**4).\nAnswer: 3926*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -6, 2\/17 in increasing order.\nAnswer: -6, 2\/17, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -21*h - 13. Does 70 divide q(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -44157.265 rounded to the nearest 10?\nAnswer: -44160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -3 * 19596\nAnswer: -58788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 14 and 14053.\nAnswer: 196742","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*o - 8*o - 15 = 0, 3*n + 5 = o. Suppose n = 220*h - 222*h - 10380000. Round h to the nearest 100000.\nAnswer: -5200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h*h**(-6\/13)*h))\/h*h*h\/(h**(10\/3)*h) assuming h is positive.\nAnswer: h**(-151\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*o**3 + 182*o**3 + 2*o**2 - 2*o**2.\nAnswer: 211*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-73 + 37 - -1) + 35.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((2021976\/(-777))\/(-276))\/((4\/14)\/1)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 101226244 to the nearest 10000.\nAnswer: 101230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cl when two letters picked without replacement from lclclllcllllclllcll?\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4881?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1230 and 2306632530.\nAnswer: 1230","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62190*d**2 - 12958*d**2 - 90687*d**2.\nAnswer: -165835*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 845?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v + 45 = -3*i, 3*v + 48*i - 44*i + 40 = 0. Let a(q) = 43*q - 9. Let t(h) = 11*h - 2. What is v*a(z) + 18*t(z)?\nAnswer: 26*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 64.92703 years to decades.\nAnswer: 6.492703","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3 - (-3 + -9))\/1. Suppose r*c - 19 = 26. Let a = 17 + -12. Solve -5*h - c*b = -25, 5*h = -b + a + 8 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -161177 = -188*b - 167193 for b.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that x**2\/4 - 69*x\/4 + 122 = 0.\nAnswer: 8, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 63 + -75. Suppose 3*d + 169 = 52. Let v = o - d. Does 9 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 85228774 to the power of 1\/6, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(96))\/sqrt(4))\/(sqrt(12) + sqrt(60)\/(1*sqrt(5))) + (sqrt(2) - (-1*sqrt(2) + sqrt(2)))*-5*2 + -3)**2.\nAnswer: 57*sqrt(2) + 379\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*n**5 + 4*n**5 + 3*n**5 + (-3 + 1 + 1)*(-2*n**5 + 3*n**5 + 3*n**5).\nAnswer: -3*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96*l - 631024 = -625552 for l.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p\/(p\/(p\/(p*p*p**(4\/3)))))\/p)\/((p*p*p**(-3\/7))\/p))\/((p*p**6*p)\/(p\/(p**(1\/17)\/p))))**(4\/11) assuming p is positive.\nAnswer: p**(-14228\/3927)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 513 - 1443. What are the prime factors of ((-15)\/(-25))\/((-3)\/l)?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 + 6*m**2 + (5 - 3 + 3)*(-4*m**2 + 0*m**2 + 5*m**2).\nAnswer: 11*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 57 + 11*c**3 - 3*c**2 + 6*c**3 - 60 + 3*c - 6*c**3. Let s(j) = 133*j**3 - 35*j**2 + 35*j - 35. Give -35*n(g) + 3*s(g).\nAnswer: 14*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -120, 3, 2\/37 in increasing order.\nAnswer: -120, -4, 2\/37, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 6487179 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 9 + -8 + 7.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 - 463.96569104034.\nAnswer: -465.96569104034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 40\/(-22)*(-243)\/(-540)*10\/(-6) + -2?\nAnswer: -7\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 35200?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*m - 12, -5*k + 15120 = -5*m. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**2\/5 + 428*n\/5 + 22898\/5.\nAnswer: 2*(n + 107)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (3854\/(-141))\/(8355\/8361 + -1).\nAnswer: 41, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ommk when four letters picked without replacement from mmkok?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5411 is divided by 1352?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 + -140?\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v - 5*v + 2*v)*(2*v + 0 + 0)*(6*v - v + v).\nAnswer: -24*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1966?\nAnswer: 2, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 5*x - 4 = 0. Suppose -5*g - 18 = u, 6*g + 89 = -x*u + 3*g. Let a = u - -37. What is the remainder when a is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 31 = -4*o - 37, 2*z - 5*o = 6 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 675000 rounded to the nearest 100000?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -5*r**3 + 20*r**2 + 1100*r - 8000 = 0.\nAnswer: -16, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -441 (base 8) in base 16?\nAnswer: -121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.99, 9\/2, 11.7 in ascending order.\nAnswer: 0.99, 9\/2, 11.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(2*(sqrt(88) + (sqrt(88) - -4*(sqrt(88) + -1*sqrt(88) + sqrt(88)))))\/((2*sqrt(24)*-2)\/sqrt(3))*1.\nAnswer: -6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**3 - 30*s**2 + 120*s + 4. Determine u(5).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 + 1)\/(5\/(-5)). Suppose -4*v - r + 16 + 3 = t, -v = -5*r - 10. Let j(c) = -c**2 + 10*c - 7. What is the remainder when j(6) is divided by v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b - 2*b + 20 = 0, -g + 3*b = -248. List the prime factors of g.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 31*j + 26*j - 55*j - 1. Let c = 12 + -7. Let m(q) = -q - 5*q + c*q. What is l(m(h))?\nAnswer: -2*h - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3275343\/35 - -93575. Let v = b - -34\/5. Let q(c) = 13*c - 104. Let n be q(8). Do v and n have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -611885859, -1223771719, -1835657579, -2447543439, -3059429299, -3671315159?\n\"Answer: -611885860*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 39 (b) -1\/4 (c) -3\/4 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6069 and 391.\nAnswer: 139587","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/7? (a) 0.3 (b) 0.5 (c) -8 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*m**3 - 11*m**3 + 24*m**3.\nAnswer: 5*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -14 + -30?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 18? (a) -2 (b) 0 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((-5)\/2*(-54)\/(-1080))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 - 3. Let v = 19285 + -19282. Solve l = -n + v - 0, -2*f + 3*n = 9 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14998 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13521640.\nAnswer: 2, 5, 11, 79, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the first derivative of -m**4\/4 + 3*m**3 - 3*m**2\/2 + 10*m + 2. What is the remainder when h(8) is divided by 82\/6 + (-14)\/21?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.053962 to 2 dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18 + -8. Suppose -3*g = -2 - v. Suppose -90 = -g*t + t. Is t a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6952789 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are 14529558 and 14529557 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8234794917.\nAnswer: 3, 17, 53, 71, 14303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-88)\/198*(-32256)\/256.\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -38385866*p**2 + 101135645*p wrt p.\nAnswer: -76771732","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -405*q**3 + 4*q**2 - 9*q - 23. Let k = -433 - -431. Is j(k) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the second derivative of d**5\/20 + 5*d**4\/6 + 6*d**2 - 3*d. Let z be h(-10). Calculate the highest common divisor of 48 and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 579 and 716995?\nAnswer: 2150985","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 3*l**2 + 408537*l - 14302470 = 0.\nAnswer: -136214, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, -3, 2, -29?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 165 and 0.02?\nAnswer: 164.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sum 7 and 3998.\nAnswer: 4005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/8, 0.36, 1, 19 in decreasing order.\nAnswer: 19, 1, 3\/8, 0.36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.2 + -3. Let v = -5.2 + f. What is the nearest to 2\/3 in v, 4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 262514?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 98 and -6.\nAnswer: -588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 31 = 5*s, g - 4 = -2*s + 3. Suppose i - g = -2*i. List the prime factors of i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -42655 - -42657. Find r, given that 0*r + 0 + 1\/2*r**3 + 11\/2*r**p = 0.\nAnswer: -11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (579\/45 - (-13)\/(-7 - -6))\/((-20)\/(-6)).\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 15 = 5*o, -4*o + 66*x + 10 = 68*x for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7455*f**2*s**3 + 9*f*s - s**3 + 4*s**2 - 3*s wrt f.\nAnswer: 14910*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 9 - (61\/(-3))\/(57\/288328401). What is k rounded to the nearest one million?\nAnswer: 103000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11769246 and 2052.\nAnswer: 1026","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*w**2 - 6 + 6 - 12*w**2 to a*w + r + m*w**2 and give m.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**4 + o**3 - 1. Let a = -130 + 120. Let r(n) = -40*n**4 - 10*n**3 - 28*n + 10. Let w(s) = a*u(s) - r(s). Find the second derivative of w(z) wrt z.\nAnswer: 360*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 7 - 0 - (-24)\/(-6). Let c(g) = 0*g**3 + 6 - 5 - 2*g**2 + i*g**3. Determine c(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(121) + (sqrt(121) - (sqrt(121)*2*2 - sqrt(121) - sqrt(121))))\/sqrt(11).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(171)\/(sqrt(27)\/sqrt(3)*-6) - ((sqrt(114)\/(sqrt(18)\/sqrt(3)))**2 + sqrt(19) + -5).\nAnswer: -14 - 7*sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7529839?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 5*f**3 + 18*f**2 + 57*f + 51. Let p(l) = 16*l**3 + 54*l**2 + 172*l + 152. Let s(t) = 20*h(t) - 6*p(t). Suppose s(k) = 0. What is k?\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (114\/(-4) - 1)*(-10 + 8). Let w = 65 - t. Suppose -z - 2*z = -6. Solve -4 = -z*d + w, -15 = -2*o - 5*d for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-5)*(-19)\/3724*-70*-2\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 15 = 0, -4*l - 360*p + 28 = -356*p for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h - 5. Determine k(5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 7 = 2. Let m be b\/(-4)*56\/(-21). Solve -3*w = -m*q - 20, 5*w - 36 = 3*q + q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 + 1378.7085.\nAnswer: 1378.6085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -4657, -9476, -17509, -28756, -43217, -60892?\n\"Answer: -1607*f**2 + 2*f - 3052","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 y when two letters picked without replacement from fffyyffyff.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4467 + -4279.7. Round y to the nearest 10.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1257 is divided by 63.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the third derivative of -w**5\/60 - w**4\/12 + 21*w**2. What is b(-5)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1\/2 (b) -14 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/(z*z**3))*z\/(z**(-7\/3)\/z*z*z))**(-3\/11) assuming z is positive.\nAnswer: z**(-19\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y**2 + 0*y**2 - y**2)*(-2 + 17 - 5) + (-2 + 2 - y)*(y - 1 + 1) + 26*y**2 + 661 - 241 - 29*y**2.\nAnswer: -24*y**2 + 420","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 151573 - 21?\nAnswer: 151552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16076 and 6.\nAnswer: 48228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 24 + -52. Let o = v + 19. Let u = 30 + o. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 135 is divided by 60.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(363) + sqrt(363) + 0 + 1 + -3 + sqrt(363)*2 - -2*sqrt(363)*-2*6)**2*5.\nAnswer: 4400*sqrt(3) + 726020","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from mymgmmmkkggym.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -682, 2\/5, 1.198 in descending order.\nAnswer: 1.198, 2\/5, -682","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*x\/(x*(x*(x\/((x*(x**(-1\/2)*x)\/x)\/x))\/x*x)\/x)*x*x*x**(2\/7)*(x**(-2))**(-2\/13) assuming x is positive.\nAnswer: x**(381\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65264?\nAnswer: 2, 4079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 4*v = v + 285460, -3*v + 228347 = 4*o. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -3 + a + 7*a**2 - a**2 - 3*a**2 + 0*a. Suppose -1 = -2*f - 3. Let c(v) = 3 - 2 - 4*v + 3*v. What is f*g(i) - c(i)?\nAnswer: -3*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from pddpdddddxdpdxpx?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.031? (a) 0 (b) 3.91 (c) 2\/77\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (88\/44*(-94)\/16)\/(-7*9\/(-252))\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.1 - 0.9. Which is the nearest to 1\/2? (a) -0.3 (b) n (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-10)\/(-6) - 0)\/(-2). Suppose -4 + 1 = -d. Let g be 0*(0 - d\/6). Which is smaller: g or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1541028?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -9240 - 11067*p - 9239 + 18477 in the form x + l*p and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**3 + 34*r**2 + 36*r + 21. Give h(-33).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 4*d = p - 22, -1 = -3*p + 2*d. Find the second derivative of -6*g**5 + p*g**5 + 10*g - 11*g wrt g.\nAnswer: -60*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*p**5 - 1896*p**4 - 291744*p**3 - 13296960*p**2 + 192735936*p - 612220032 = 0. Calculate p.\nAnswer: -162, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m. Let d(s) = -581*s - 7. Determine d(t(z)).\nAnswer: 581*z - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**5 + 6*u**4 - 11*u**3 + 6*u**2.\nAnswer: -u**2*(u - 3)*(u - 2)*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * 279043.7.\nAnswer: -1395218.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*f = -19*f - 3*a - 225, -f = -4*a - 28. Let c be 300\/(-5)*(-28)\/10. What is the greatest common factor of c and f?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68376415859 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**3 + 9*r**2 - r - 47. Let w be l(8). Calculate the highest common factor of w and 33.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 189*s - 43*s**3 - 32*s**3 + 19*s**3 - 196*s.\nAnswer: -56*s**3 - 7*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -131\/414 and 101\/460.\nAnswer: 4140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -4\/7 (b) -3 (c) -42\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 166242 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102*i - 63973 = 717*i + 98*i - 13538 for i.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 0 + 10 + -3 + -2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vhhhhhhhhhv. What is prob of picking 1 h and 2 v?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8663*q - 45954 = -9662*q for q.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3 and 86239842.\nAnswer: 86239842","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4892?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/3*(-1)\/2.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 883.5573 - 4.0873. Round z to the nearest ten.\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2190 - 1278. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l*((((l**(2\/11)*l)\/l)\/l*l*l)\/l)\/l)**44*l**(-9\/4)*l**(-4\/5) assuming l is positive.\nAnswer: l**(979\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -1 - f + f + f. Is n(8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.47 * -9.\nAnswer: -4.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2302, -4529, -6684, -8767, -10778, -12717?\nAnswer: -14584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*j = 7*j - 170 - 446. Put -14, j, 2 in ascending order.\nAnswer: j, -14, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 2*q - q**3 + 7*q - 4*q**2 - 3*q**2 + 9. Let t be v(-8). Let b be 1\/(t\/(-4)) - -8. Solve -5*a - w + 22 = 0, a - 3 = b*w - 7 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29734.\nAnswer: 2, 14867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 7158.022 grams in tonnes?\nAnswer: 0.007158022","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 + 186751272479928.\nAnswer: 186751272479929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -123*y**2 + 630*y**2 + 853*y**2 + (-1 - 2 + 2)*(3*y**2 - y**2 - y**2) - 3*y - 3*y**2 + 3*y.\nAnswer: 1356*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -13 + -425 + 422 + (119 + -9 - (4 + -2))\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4 - -38)*1 - 0. Suppose 0 = -k + 62 - 36. Let u = k - l. Sort 0, u, 1 in descending order.\nAnswer: 1, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -2*j**2 + 4*j + 1. Let w be k(3). Let g(v) = 3*v**2 - 5*v - 5. Let q(f) = f**2 - 2*f - 2. Let b(z) = w*q(z) + 2*g(z). Let l(u) = -u. What is b(l(d))?\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -57*o + 3. Let t be d(2). Let l = 8701 - 8586. Let v = t + l. Let p(w) = w**2 - 5*w + 4. What is p(v)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (-16 - (-3 - (5 - (13 - 7))))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.73 - 7.17. Let d = 26.1 - u. Let n = d + -33. Is -0.3 >= n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p + 3*p - 3*p)*(-4 - 2 + 4)*(2 - 1 + 1).\nAnswer: -4*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1090 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 23 - 211173?\nAnswer: -211150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 55176 and 1608?\nAnswer: 3696792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) -1843 (c) -8 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 30*g**2 - 7*g - 13. What are the prime factors of d(6)?\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 4 = -3*q + 10, 19 = -4*q - 5*d for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 3*w - 5. Let q be (28\/(3 + -7))\/(-1). Let n(p) = -5*p - 2 + q*p - 2*p + p. What is -2*m(t) + 5*n(t)?\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 16 - -25?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11, -43, -77, -113, -151, -191, -233?\nAnswer: -277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.052 (b) -0.4 (c) 4 (d) -10.9 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1520499497 to the power of 1\/7, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -3*l + d + d, 3*l - 5*d = 25. Suppose -l*f - 38 = 2*r - 168, -r = -4*f + 117. Let v = f + -31. Which is the biggest value? (a) 0.4 (b) v (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 123333451?\nAnswer: 123333451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4322 + -2020434?\nAnswer: -2011112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -77 + 387\/5. Suppose 3*s + 2*y + 1 = 0, -s - 3*y = -3*s + 8. Suppose 0 = 38*v - 37*v + s. Is v equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*14)\/((-24)\/(-16))*2*(-27)\/1044?\nAnswer: -14\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 23 = -2*u - 10, 4*y + 29 = 5*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -0.037?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -180 by 5.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 12*s. Let c = 51 - 62. Let a(g) = 7*g**2 + 6. Let q(p) = -13*p**2 - 11. Let u(l) = c*a(l) - 6*q(l). What is w(u(h))?\nAnswer: 12*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-3)*z\/(z\/z**(-2\/11)))\/(z**(-1\/3))**35 assuming z is positive.\nAnswer: z**(313\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 251364749 to the nearest integer?\nAnswer: 15854","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -2*i**2 - 21*i - 4. Give k(-10).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 157*a**2 - 4. Let t be w(-2). Suppose -10*f + t = -2*f. What are the prime factors of f?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8053.\nAnswer: 8053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:17 PM and 4:13 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 2*i**2 + 21*i - 1. Let o(p) = -p**3 + 12*p**2 - 12*p + 1. Let l be o(11). Let h be r(l). Which is smaller: -21\/2 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*a + 158 + 732*a**2 - 157 - 3*a to m*a**2 + y*a + f and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-171)\/6 + 3\/(-2). Let m be (x\/(-4))\/((-24)\/(-64)). Calculate the highest common factor of m and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-170)\/((-114750)\/(-405))*220\/(-3).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2558425 is divided by 1310?\nAnswer: 1305","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*-0.12506.\nAnswer: 0.012506","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2971?\nAnswer: 2971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 4*x - 3 + 2 - 2*x - 5. Let m be i(6). What is the second derivative of 2 + 9*j**2 - 6 + 4 + m*j wrt j?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 768 and 1824.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the third derivative of -r**6\/780 + r**5\/65 - r**4\/13 + 8*r**3\/39 + 9*r**2. Let f(v) = 0. What is v?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**3 - l**2 + l - 1. Let u be (-36)\/21 + (-38)\/133. Let z(p) = -4*p**3 + 5*p**2 - 5*p + 5. Calculate u*z(a) - 10*v(a).\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 56 + -2. Let q = r - 53.5. Let u = -3\/7 - 9\/28. Put u, q, -2 in decreasing order.\nAnswer: q, u, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -184064 minus 0?\nAnswer: -184064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 35, 257, 5\/2, 1.6, 3, -0.5?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 3562 + -3613 + 1 + 26\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -18 + -80?\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v + 0*v + 6*v)*(-140*v - 191*v - 63*v).\nAnswer: -1182*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-5))\/((-64)\/1120)*12\/7?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-1014)\/(-11))\/(93\/3069)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -496621167.4 rounded to the nearest 100000?\nAnswer: -496600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 88411 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 2*y = 0. Suppose -2*q - 6 = -4*u - 5*q, -4*u + 5*q + 22 = y. Determine x so that 0 + 4\/5*x**2 + 2\/5*x**u + 2\/5*x = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 w when two letters picked without replacement from babwbbbbbbaabawawwb?\nAnswer: 20\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 4*i = t - 4, 5*t - 5 = -i. Let h = 14 + t. Suppose 3*c - 172 = -40. Calculate the remainder when c is divided by h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 466\/(-14) - 4\/(-14). What is the common denominator of 3\/(180\/o) + 0 and (-5816)\/480 - 1\/(-5)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z + 0*z + 0*z + (-3 + 4 - 2)*(119 + 92*z - 119))*(z**3 - 3*z**3 + 3*z**3) + 2*z**4 + 7 - 7 + (1 + z**3 - 1)*(-2*z - 2 + 2) - z**4 - z**2 + z**2.\nAnswer: -91*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 130662 and 1125999?\nAnswer: 38283966","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 61778, 122741, 183704, 244667, 305630?\n\"Answer: 60963*p + 815","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1096753 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -2 - 18. Let a be (-108)\/d*6\/(-9). Let x be 7\/63*9 + 8. Calculate the highest common factor of x and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -173083 (base 9) to base 5.\nAnswer: -11412423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 6*x**2. Let t(a) = -5*a**2 - 62 + 23 + 24 + 181*a**2 + 17. Determine t(z(w)).\nAnswer: 6336*w**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o - 10. Calculate g(11).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 3 c when four letters picked without replacement from vpcevcpcnxpcxvcpxpnv.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 4.2 - 92\nAnswer: -87.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**2 - t + t + t + 5*t.\nAnswer: -3*t*(t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n - 78 - 77. Let s = -76 - n. Let w = s + 119. List the prime factors of w.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 385\/(-30)*(-243)\/(-1701).\nAnswer: -11\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3825, -11191, -22113, -36615, -54721, -76455, -101841?\nAnswer: -130903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 2*l - 29. Give r(12).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:14 AM and 7:00 AM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 915?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 287ec - -4?\nAnswer: 287f0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 26, -0.2, -4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -202\/63 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*n**2 - 16*n**2 + 23*n**2.\nAnswer: 23*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -26\/5*m**2 - 8\/5 - 12\/5*m**3 - 24\/5*m - 2\/5*m**4.\nAnswer: -2*(m + 1)**2*(m + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4947?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2216*w**3 - 2213*w**3 - 2261*w**3 + 8906*w**3 - 2220*w**3.\nAnswer: -4*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10001, 19334, 27997, 35990, 43313, 49966?\nAnswer: 55949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -28735, -57466, -86197?\n\"Answer: -28731*m - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4592446*d = 4592604*d - 21330 for d.\nAnswer: 135","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -b3 + 1?\nAnswer: -b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y**2\/9 - 6*y + 52\/9 = 0. Calculate y.\nAnswer: 1, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8 (base 14) to base 11.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.041313714 - 12920235.241313714. Let j = b - -12920295.199959. Let y = j + -60. Round y to 5 dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17 + 20. Let j = -22 + l. Let q = -19.3 - j. What is the third smallest value in 1, 0.02, q?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 5*l - 788, 3*l - 3*p - 370 = 122. What is the tens digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 270*j + 148*j = -234*j + 185*j - 1868 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (9*m - 3*m + 0 + 2)*(1 + 3 - 6) in the form d*m + b and give b.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:38 PM and 9:09 AM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 0 + (-1 + 1 + 5)*(-3 + 3 - 1))*(12*z - 9*z - 82*z).\nAnswer: 474*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**2 + 6*g + 7. Let n(o) = 8*o - 1. Let i be n(2). Suppose 5*u - 5*d + i = -15, -3*u + d = 20. Is x(u) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -69 + 75 - (-2 - -1).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of g**4 - 267255*g**3 + 3358144*g wrt g.\nAnswer: 12*g**2 - 1603530*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**2 + 36*a + 324. Let d be c(-14). Solve -19*b = -d*b - 3 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**9*u**(-10))\/(u\/u**(-2\/11))**23)**(-5\/6) assuming u is positive.\nAnswer: u**(775\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -719*r + 9992 = 21046 + 11954 for r.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -5*u + 19. Let t be (148\/u)\/(-1)*-12. Is (2\/4)\/(4\/t) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 48 - 39)*(-4*g + 2*g + g + 3*g + g - 5*g + 2*g + g - 5*g + g + 4 - 4 + (-5 + 3 + 4)*(1 - 1 + 2*g)) - g - 3*g + 0*g.\nAnswer: -88*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -956, -5, -1, 0 in decreasing order.\nAnswer: 0, -1, -3, -5, -956","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + z + 9878, g - 473 = -4*z + 2824. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.513 - -0.56004. Let q = l + -0.0534. What is q rounded to 4 decimal places?\nAnswer: -0.0064","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -718, -716, -714, -712?\n\"Answer: 2*c - 720","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52 = -7*h - 87 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**3 + 7*l**2 - 3*l + 13. Let y be u(-7). Let t = y - 2. 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 -0.183 + 37645.2845?\nAnswer: 37645.1015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - (3 - 6))\/7\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 6) to base 10\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -4*y**2 + 4*y + 4. Let k be u(7). Let l = 144 + k. Sort -1, 0, l in decreasing order.\nAnswer: 0, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 20, 12, 0, -16, -36, -60?\n\"Answer: -2*h**2 - 2*h + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 462 and 7846608.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4944 + 24727\/5. Let d(u) be the first derivative of 232\/15*u**3 - 256\/5*u**2 + 128\/5*u + 27 - k*u**4. Factor d(t).\nAnswer: -4*(t - 4)**2*(7*t - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*p = 9*p + 117 for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 177947 to the power of 1\/3, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the second derivative of -5*o**4\/12 + 41*o. Let p(v) = -2*v. Determine p(l(w)).\nAnswer: 10*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21 is divided by 19?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s*s\/(s\/s**(1\/8)))*s**(-4\/5)\/s)**(3\/46)\/((s*(s\/(s\/(s**1*s)*s*s))\/s*s)\/((s\/(s**(-6)\/s))\/s*s*s*s)*s**(-1\/2)*s**7) assuming s is positive.\nAnswer: s**(4369\/1840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 40 = 3*r, 5*f - 1 = 2*r + 34. Let a(n) = -n**3 - 5*n**2 + 3. Calculate a(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.02 in -1\/4, -2, 1, -3, 491\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 82962.23 kilograms in micrograms?\nAnswer: 82962230000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6512 is divided by 41.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (104\/(-39))\/((-56)\/(-12))\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -121249.9 rounded to the nearest ten thousand?\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1846909 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -18*77\nAnswer: -1386","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 21.7 - 18. Let l = 0.3 + a. Let z = 10 + -9.5. What is the biggest value in l, z, 2, 3\/2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -930, -928, -924, -918, -910, -900, -888?\nAnswer: -874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/16 of a meter?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 28707882 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let m = 181 - 172. Suppose 23*s - 20*s - m = 0. Put 4, 0.4, s in decreasing order.\nAnswer: 4, s, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m = -5*n - 110, 5511*n + 5*m - 4*m = 5507*n + 42 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/16)\/((-10)\/(-100))*(-1)\/10?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the third derivative of 0 + 0*o**4 + 8*o**2 + 0*o**6 + 0*o**5 - 1\/6*o**3 + 1\/210*o**7 + 0*o. Differentiate s(g) wrt g.\nAnswer: 4*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -13165, -13234, -13333, -13468, -13645, -13870?\n\"Answer: -m**3 - 9*m**2 - 35*m - 13120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 8*n**2 - 228*n + 113. Let t be l(28). Let v(h) be the first derivative of h**3\/3 - 7*h**2\/2 + 2*h - 4. Let c be v(7). Is t not equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 729?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(363))**2 + 2 + (-4*(0 + sqrt(363)))**2 + sqrt(363))*6.\nAnswer: 66*sqrt(3) + 43572","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/(-4)*(7\/(-3) - -5). Find the common denominator of (-48 - -2)*13\/((-1560)\/16) and (-6)\/81*-3 - n\/6.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5661 + 3744 = 9*w. What is the greatest common divisor of 22 and w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -15, 51, 159, 309, 501, 735, 1011?\n\"Answer: 21*z**2 + 3*z - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 9*n**2 + 2*n - 1. Let w be s(1). Let r(b) = -6*b - 90. Let z be r(-13). Let h = z + w. Put h, 1, 17 in decreasing order.\nAnswer: 17, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*z = 17*z + 90 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u - 22*u**2 + u**3 + 4*u - 2 - 6*u + 51*u. List the prime factors of d(20).\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*m - m = 6327. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 23 + -25. Let c be (36\/24)\/(w\/(-8)). Let a be (185 - (c - 2)) + 1. What is a rounded to the nearest ten?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-286)\/(-65) - (-2)\/(-5). Suppose s + 3 = 0, 3*l - k*s = 7*l + 24. What are the prime factors of ((-74)\/4)\/(l\/12)?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.2 - 0.2. Suppose -5*g - 2*m = 5, 0*m - 2*m = -5*g + 15. Let j = g + -6. What is the third biggest value in y, -4, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/124 and -33\/32.\nAnswer: 992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 35605104 to the power of 1\/3, to the nearest integer?\nAnswer: 329","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -1195586.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2673*n - 2559*n = 5244 for n.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -2*c**2. Let j(y) = y**2 + 31*y. Give j(t(a)).\nAnswer: 4*a**4 - 62*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 10, w: 2}. What is prob of sequence ew?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -27*k. Let u = -393 + 396. Let b(s) = -3 - 4*s**2 - 9*s**2 + u + 2*s**2. Calculate m(b(y)).\nAnswer: 297*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 36, 135, 298, 525, 816?\nAnswer: 1171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-8))\/(663\/136).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 165 = 10*u - 85. Solve -u = -5*w, 1 - 16 = -4*m - 3*w for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 11*q + 158. Let d be c(-14). What is the second derivative of 48*s**4 + 9*s**4 - 99*s - 1 - 17*s**d + 0*s**2 + 0*s**2 wrt s?\nAnswer: 480*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:35 PM and 11:11 PM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (-18)\/(-10)*(-20)\/180*45.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8.2908*-0.109.\nAnswer: 0.9036972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (52\/(-286)*2\/4)\/((-8)\/(-16))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.14? (a) -38 (b) 1 (c) -1.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4759 (base 14) in base 13?\nAnswer: -586c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.1349748 + -0.135. Round l to six dps.\nAnswer: -0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -274 + 275. Let i = 257\/35 + -43\/7. Which is the smallest value? (a) 0.5 (b) r (c) i (d) -6\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90*k + 318 = 92*k. Suppose 29 = -10*p + k. What is the remainder when 24 is divided by p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 30, 82, 154, 234, 310, 370, 402?\n\"Answer: -2*j**3 + 22*j**2 + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**3 - 4*i**2 + i + 5. Let b be p(-4). Sort -3, b, -5 in decreasing order.\nAnswer: b, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10177*k - 15528*k = -733087 for k.\nAnswer: 137","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(77)\/(sqrt(275) + sqrt(275) + (sqrt(275) - (sqrt(275)*1 - sqrt(275))) + sqrt(275)) - 3*sqrt(28)\/sqrt(4)*-1.\nAnswer: 61*sqrt(7)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 24283 rounded to the nearest one thousand?\nAnswer: 24000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.3577 - -0.6577. Let j = 0.5 + -1.1. Let t = p + j. Which is the fourth biggest value? (a) t (b) 1 (c) -1 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*w**2 + 262*w**3 - 264*w**3 + w**2 + (-2*w - 4 + 4)*(-6*w**2 + 2*w**2 + w**2) in the form j*w**3 + m*w**2 + q + r*w and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/9768 and -73\/7992.\nAnswer: 87912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/(-2))\/(5 + -4). Let c(d) = 1 + 0 - 12*d - 2. What is c(i)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 9 + 6)*(1080 + 922 - 109)*(-t + 5*t - 3*t + 2*t + 2*t - 3*t + (-t + 0*t + 0*t)*(5 - 4 - 3)) in the form f + l*t and give l.\nAnswer: 128724","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 7534.3089 rounded to the nearest ten thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2075 and 7387.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15413.\nAnswer: 15413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 16\/(-224)*4*-1*42\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*o**3 + 46*o**3 - 3*o - 131*o**3 + 3*o + 46*o**3.\nAnswer: -9*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-320)\/1248)\/(13855\/153))\/(3\/(-13)).\nAnswer: 2\/163","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*b**5 - 2*b**4 + 19*b**3 + 178863*b**2?\nAnswer: 180*b**2 - 48*b + 114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 18*v**2 - 4*v + 2. Let x = -35 - -38. List the prime factors of a(x).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -604 or 3?\nAnswer: -604","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 36 = -0. Let z = -10 - a. What is the third smallest value in 4, z, 2\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000926825159 to seven decimal places.\nAnswer: -0.0000093","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1078581.\nAnswer: 3, 7, 51361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -111*0.3\nAnswer: -33.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(1 + 0) - -8. Let p(i) = i - 16 + 11 + 0*i + 16 - 2*i. What is p(y)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 2*z**3 - 39*z**2 + 55*z + 130. What is the remainder when 734 is divided by s(18)?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*h**2*l**3*w**3 + 5*h**2*w**2 + 7*h*l**3*w**3 + h*w**3 + 27*l**2*w wrt l.\nAnswer: -12*h**2*w**3 + 42*h*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*v**3 + 59*v**3 + 23*v**3.\nAnswer: 54*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -909 and 11.9.\nAnswer: -10817.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 390*o**2 + 4441*o - 26. Calculate c(-11).\nAnswer: -1687","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 6*y**2 - 4*y + 4. Let k(v) = -7*v**2 + 5*v - 5. Let i(d) = -4*k(d) - 5*q(d). Let a(n) = -5*n. Determine i(a(u)).\nAnswer: -50*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0009861 rounded to four decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.3 - -5.7. Let c = a - 3. Sort -1, c, -4 in ascending order.\nAnswer: -4, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3499148 to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3006823708 to the power of 1\/3, to the nearest integer?\nAnswer: 1443","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 1719?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 120224205 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17 + -10. Calculate the least common multiple of y and 32.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*v**2 - 3*v**2 - 90*v - 2*v**2 + 96*v.\nAnswer: -2*v**2 + 6*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1313 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1297466937 and 351.\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 5, w: 4, v: 2, h: 1, j: 2}. Give prob of picking 2 j and 1 v.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 171 and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5415387.\nAnswer: 3, 47, 193, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 2020344 (base 5) to base 7\nAnswer: 164020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-57)\/(2166\/95))\/(9\/3)?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/14 and 73\/4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5\/(-25) + (-1)\/(-5). Suppose o = 2*w + 4*l - 12, -3*l + 18 = 5*w + l. What is the third derivative of -240*u**5 + 240*u**5 + 4*u**6 + 5*u**w wrt u?\nAnswer: 480*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 670 + -975. Let n = -305.0077 - m. What is n rounded to three decimal places?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes before 6:54 AM?\nAnswer: 10:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rgrggrrgrgrgrggg. What is prob of sequence rrg?\nAnswer: 9\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 615195 divided by 1953\nAnswer: 315","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h\/((h**(2\/3)\/h)\/h)))**(-25)*(h*h*h\/(h\/(h**(-3\/5)*h)))\/(h*(h*h**(-8))\/h))**42 assuming h is positive.\nAnswer: h**(8974\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 331488 and 11184?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = 2*y + 48, -114*y - 60 = -110*y + 4*l. Let w(v) = v**3 + 8*v**2 - 14*v - 8. What is w(y)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3150 (base 9) to base 11\nAnswer: -1813","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 4 + (-291)\/(-348) - (-40)\/(-10) and 95\/28.\nAnswer: 812","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0*(-1)\/2 + 8\/2. Suppose 3*g = 5*g. Put n, -1, g in ascending order.\nAnswer: -1, g, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the first derivative of -5*g**3\/3 - 25*g**2\/2 + 30*g - 83. Factor j(h).\nAnswer: -5*(h - 1)*(h + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**2 - 3*y - 1. Let p(z) = -4*z**2 + 10*z + 4. Let s(h) = 7*b(h) + 2*p(h). Let j(v) = 5*v**2 - v - 2. Let r(u) = -j(u) - 2*s(u). Factor r(w).\nAnswer: -3*w*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 206150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes before 7:22 AM?\nAnswer: 11:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*f + 2*b - 1, 0 = f + 4*f - 2*b + 9 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -30554872*f**5 - 21149345*f**2 wrt f?\nAnswer: -1833292320*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 14 = -12. Suppose -z = -3*w + 5*w + t, -2*w = -4*z + 22. Solve o = -0*o - z for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the first derivative of -154*r**6\/9 + 92*r**5\/5 + 89*r**4\/3 - 292*r**3\/9 - 8*r**2 + 16*r\/3 - 7. Solve d(q) = 0 for q.\nAnswer: -1, -2\/7, 2\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 188*l**6 + 10920*l**3 + 42938*l**2 - l + 41.\nAnswer: 22560*l**3 + 65520","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -216 divided by -119\nAnswer: 216\/119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4616 + -4555. Solve -9*k = -115 + v for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1798 is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 30 and 48595.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -307002 (base 10) in base 2?\nAnswer: -1001010111100111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:14 PM and 1:01 AM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-12 - -13)\/(2\/18). Suppose -d = -0*d + f. Let y(u) = -2*u - 3. Let m be y(d). Calculate the highest common divisor of 3 and m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**3 + 6*o**2 + 5*o + 6. What is b(7)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -302043 - 10?\nAnswer: -302103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 1400*m + 93832. Determine u(-67).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 23 - 5. What is the lowest common multiple of 6 and n?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 38124?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(40)\/sqrt(1152) - (sqrt(125) + 2)).\nAnswer: -59*sqrt(5)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1504)\/(-64))\/((-1)\/(-7)*42\/(-12)).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -41 + 56. Let j = x + -15.006. Let b = j + 0.00600112. Round b to seven decimal places.\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6662*d**3*y**2 - 292*d**3*y + d**2*y**2 + d**2*y + y**2 - 68*y wrt y.\nAnswer: 13324*d**3 + 2*d**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3354, 4\/7, -2\/9 in increasing order.\nAnswer: -2\/9, 4\/7, 3354","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**2 + x + 1. Let y(s) = -9*s**2 + 6*s + 6. Let m(k) = 6*n(k) - y(k). Let f(g) = 11*g**2 - 39*g**2 - 11*g**2 + 22*g**2. Give m(f(j)).\nAnswer: 867*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8120?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 47.02 - 47.02. Let w = 1 + -1.1. Suppose -2*i = 4*l + 10, -2*l - 20 = -5*i + 3*l. What is the nearest to i in w, 3\/4, v?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 123763 is divided by 13618.\nAnswer: 1201","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 18*p + 77. Let d(u) = 408*u - 4080. Let j be d(10). Determine v(j).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1600 divided by -160?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 17*f + 19. Let a be 4\/11 - (-78)\/(-33). What is d(a)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 70015323 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 12*j**2 - 51*j + 53. Let t be r(1). Solve -18*c - t = -32 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the second derivative of n**4\/6 + 5*n**3\/6 + 3*n**2\/2 + n. Is s(-4) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 + -511?\nAnswer: -513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 44422 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 9 = 21. Let q = j - -8. Suppose o = 3*r - q, -r = -3*o - o + 14. Solve -5*m + 18 = r*z, -z - 2 = -3*z - m for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 117051?\nAnswer: 3, 11, 3547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 - 8*m**2 - 14*m - 3. Let w be q(-3). Let j(c) = -c**2 - 10*c - 21. Let g be j(w). Factor 0 - 4\/7*f - 6\/7*f**2 + 10\/7*f**g.\nAnswer: 2*f*(f - 1)*(5*f + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 22, 43, 64, 85, 106, 127?\n\"Answer: 21*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 5*k + 375 = 111, 1320 = 5*z + 2*k. Calculate the remainder when 534 is divided by z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 36720 and 13778640?\nAnswer: 2160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -10*f**2 - 29*f - 1. Let w be m(-3). Let z(i) = -2*i**3 - 8*i**2 + 5*i - 3. Give z(w).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.87788 weeks in minutes?\nAnswer: 8849.0304","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from giigggg. Give prob of sequence giii.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1879*u = 17176 - 5902 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -3*o**3 - 2*o**2 - 6*o + 6. Let c(y) = 3*y**3 + y**2 + 5*y - 5. Determine -6*c(w) - 5*q(w).\nAnswer: -3*w**3 + 4*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 29936727 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 811 to the power of 1\/2, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, f: 3, n: 1, m: 3, x: 1, b: 2}. Give prob of sequence xfm.\nAnswer: 3\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1299 divided by -2.\nAnswer: 1299\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7.6 + -8. Let d = 683\/34 - 44\/17. Let q = d + -52\/3. What is the second smallest value in -2, q, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -50 + 48. Calculate the remainder when 37 is divided by (o\/(-5))\/((-6)\/(-300)).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 144886, 289918, 434944, 579964, 724978?\nAnswer: 869986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.09 in -1.2, -22, 1\/10?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*g + g + 2*g + 8*g.\nAnswer: 7*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:50 AM and 11:43 AM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(300))*2)**2.\nAnswer: 1200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(20) + -1*sqrt(1280)) + (4 + sqrt(20) + sqrt(20)*2 - sqrt(20) - sqrt(2880)*-2)**2.\nAnswer: 332*sqrt(5) + 13536","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*i - 13*i - 5 = 0. Solve -i*c - 7*g = -3*g, -3*g = -2*c + 23 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 555*u + 702 - 95 + 177 + 881 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(6\/11)\/a)**(-2\/3)*(a\/a**(-7\/3))**26 assuming a is positive.\nAnswer: a**(2870\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvddkvvddvqvvvvvddv. What is prob of picking 1 v, 1 d, and 1 k?\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/78)\/((10\/(-630)*-18)\/(36\/(-315))).\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2342, 4734, 7168, 9644?\n\"Answer: 21*u**2 + 2329*u - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3266 + 60?\nAnswer: 3356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 20*k + 18*k - 14*k. Let v(g) = -2*g. Give v(i(u)).\nAnswer: -48*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 2*s**3 - s**2 + 1. Let v(o) = o**2 + o - 1. Calculate 3*c(w) + 3*v(w).\nAnswer: 6*w**3 + 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -26*t**2 - 8*t - 2. Let k(a) = 41*a**2 + 12*a + 3. Let v(o) = 2*k(o) + 3*y(o). Let z(x) = -1699*x. What is v(z(g))?\nAnswer: 11546404*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(-17))\/(l\/l**(2\/21)) assuming l is positive.\nAnswer: l**(359\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (16\/(-20))\/((-1)\/5). Suppose 2*w = a*w - 14. What is the remainder when 26 is divided by w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.0155907 to 1 decimal place.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + 49 = -4*p, 5*p + 8*j = 5*j - 0*j - 15 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4131153210 to the power of 1\/2, to the nearest integer?\nAnswer: 64274","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 12*n**2 - 37*n**2 + 2*n + 22*n**2 - 5*n**2 + n**2 + 2*n**2 + (1 + 2 - 2)*(-3*n**2 + n - n).\nAnswer: -8*n**2 + 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42 is divided by 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 15490162 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1239 less than or equal to 1254?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes before 11:45 AM?\nAnswer: 1:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 + -6. Let j = -11 - h. Sort 5, 0.4, j in ascending order.\nAnswer: 0.4, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19889 divided by 3?\nAnswer: 19889\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14 (base 13) to base 5.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5472?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 12\/(-10) + (2 - 0). Let x = -89\/184 - 3\/184. Which is the second smallest value? (a) w (b) x (c) 4 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 2*j + 18. Let w be s(4). Suppose w*u - 88 = 18*u. Solve 5*y = u*y - 18 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*c - 82651 = 11*c. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * -9844.\nAnswer: -19688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s - 3. Let b be 32\/(-10)*(-15)\/6. What is the units digit of x(b)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7489747 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 times -11366?\nAnswer: -227320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/(-15))\/((-22)\/(-11))*5\/470*6\nAnswer: 1\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -134*i**5*k**2 + 10*i*k + k**2 + 4*k wrt i.\nAnswer: -2680*i**3*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**3 - 23*f**2 - 176*f - 32. Let x be t(-9). Let v be 2\/(-4)*-4*19. Calculate the greatest common divisor of v and x.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 8, x: 1, u: 2}. Give prob of picking 3 f.\nAnswer: 56\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*h + 6*h + 17 - 3*h)*(-4 - 3 + 0).\nAnswer: 14*h - 119","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19.92176 + -0.07824. What is the second smallest value in 1, 0.2, u?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1141 + 1126 + 1193 + 12*r - 3460.\nAnswer: 12*r","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 4*j = 24, 3*f + 90*j - 83 = 196 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 10143, 20282, 30411, 40524, 50615, 60678, 70707, 80696?\n\"Answer: -v**3 + v**2 + 10143*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15457 + -9326. Does 10 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 4, z: 1, j: 2, b: 7, p: 2, q: 4}. What is prob of picking 1 w and 3 b?\nAnswer: 28\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 30, -16\/3, 1\/4, 0.4, -7, 3?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 294074 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 38017240, 152068963, 342155168, 608275855?\n\"Answer: 38017241*l**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 21229582591 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 7 and 7?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-116)\/(-522)*18\/22?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 4*d + 73566 = 0. Let c = -2390966\/65 + d. Let q = c - -22\/13. What is the closest to -0.2 in -3, -0.5, q?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -103229.3 - -0.1.\nAnswer: -103229.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 2*w**2 + 120*w - 916. Let p be h(7). Let v(k) = -k**3 + 22*k**2 + 23. What is v(p)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one sevenths of a week in hours?\nAnswer: 1224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k - 5*r - 177 = -187, -k - 88*r + 578 = -132 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, -8152, -5, 4, -58 in ascending order.\nAnswer: -8152, -58, -5, 1\/2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -23 - -27. Suppose 11*x = s*x - 7. What is the nearest to x in 0, -5, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the third derivative of 0*k - 2*k**2 - 2\/3*k**3 + 0 + 3\/56*k**8 + 1\/15*k**6 + 4\/21*k**7 - 3\/5*k**5 - 13\/12*k**4. Factor i(z).\nAnswer: 2*(z - 1)*(z + 1)**3*(9*z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 51, 92, 133, 174, 215?\nAnswer: 256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**4)**(-39))**(-13\/3) assuming z is positive.\nAnswer: z**676","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*y**3 + 10530*y - 10530*y.\nAnswer: 11*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 - 7*p**2 + p + 4. Let j(f) = -f**3 - 5*f**2 + 6*f + 7. Let i be j(-6). What is the units digit of n(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d**5 + 3366*d**4 - 10125*d**3 + 12*d**2 + 13500*d = 0 for d.\nAnswer: -1125, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 608 is divided by 55?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*k - 642*k - 8823 = 10113 + 21838 for k.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 816 divided by -102.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (12\/105)\/(2\/7)*66\/924*1435\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 730*u**2 + 582*u + 5797076 wrt u?\nAnswer: 1460*u + 582","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1160 is divided by 192.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 7861 (b) 0.1 (c) -813\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 980\/(-100) + 90\/9.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.4 + -0.6. Which is the third biggest value? (a) 0.01 (b) -1\/7 (c) 0.4 (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z**4 + z**2 - 2579 - 5*z**2 + 2581)*(0*z + 0*z - 2*z).\nAnswer: -4*z**5 + 8*z**3 - 4*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 4799 = 2*w, -5*g + 0*g + 23985 = 5*w. Suppose -5*m = -2*c + g, 3*c - 2*m - 7189 = 2*m. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -13\/3, -5, -1\/122, 0.5, -1?\nAnswer: -1\/122","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.003788054 rounded to 3 decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**2 + 6*m + 3. Let i be w(-6). Suppose i*h - 18 = b - 4*b, 4*h = 8. Sort 5, b, 0.\nAnswer: 0, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*h + 5 = -3*r, -1100*r + 2*h + 22 = -1105*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*q**2 - 63 + 159*q**2 + 63.\nAnswer: 121*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 20756*d**2 + d + 109673.\nAnswer: 41512*d + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2*(-3)\/2064*2. Which is the third biggest value? (a) 0.5 (b) 0.4 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one ninth of a hour in seconds?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-2)\/7 - (-792)\/126 and 20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 5*f. Suppose -2*b + n = -12, 5*b - 21 = 5*n + 14. Suppose -203 = -5*w + 4*a, -b*w + a + 200 = -4*a. Let p(r) = 43 - w + 0*r - r. Give q(p(d)).\nAnswer: -5*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-7))**(3\/32)\/(x\/((x*x**13*x)\/x)*x\/x**(-15)*x))**49 assuming x is positive.\nAnswer: x**(-7301\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -6*u + 59. Let s = -27 + 37. Suppose s*m + 29 = -41. List the prime factors of z(m).\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 73199, 73195, 73189, 73181?\n\"Answer: -x**2 - x + 73201","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, -0.1, -0.3, -4, 31.\nAnswer: -18, -4, -0.3, -0.1, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -30148 - 294246. Round w to the nearest 10000.\nAnswer: -320000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -7*j**3 - j**2 + j - 5. Let c(y) be the first derivative of -3*y**4\/2 - y**3\/3 + y**2\/2 - 4*y + 1226. Calculate -4*b(m) + 5*c(m).\nAnswer: -2*m**3 - m**2 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9 and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*c**5 + 90*c**4 + 105*c**3 - 3640*c**2 - 7260*c - 3600 = 0. What is c?\nAnswer: -12, -10, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -369, -737, -1105, -1473, -1841?\nAnswer: -2209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t\/(((t*t*t*t\/(t*t**(-2\/7)))\/t)\/t*t)))\/t)**(11\/4)\/(t**(-6)*t**6) assuming t is positive.\nAnswer: t**(99\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does -46 = -46?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d - 1. Let y(s) = -43*s - 4. What is 10*l(q) - 2*y(q)?\nAnswer: 76*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1692 is divided by 81.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 182061769 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 s, and 1 t when three letters picked without replacement from {j: 3, k: 2, t: 2, s: 2, d: 6}?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 55 and 165?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 128810 divided by -128810?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 418 a factor of 956141560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*18\/((-8)\/8)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 3, 4, -3, -3095, 49 in descending order.\nAnswer: 49, 4, 3, -2, -3, -3095","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lyd when three letters picked without replacement from dddddddydlddyd.\nAnswer: 11\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*c + 25 = -252 - 17 for c.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/(-12) - 17\/(-42). Let l = -20546.5 - -20546. What is the third biggest value in t, -3, l?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.2 (b) -4 (c) 11 (d) 0.5106 (e) 1\/3 (f) -5 (g) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9053 and 77.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 1\/5 of a minute?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*o - 40*o + 234 + 36. Solve -7*u + s + 3 = -6*u, 0 = 2*u + o*s + 8 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 6082739?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 786294?\nAnswer: 2, 3, 14561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -1 + sqrt(288) - (-1 + (sqrt(288) - (0 + sqrt(288)))))**2*-4.\nAnswer: -1216 - 384*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**2 - 8*y + 13. Let x = -25 + 86. What is the remainder when x is divided by g(-8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -3*f + 1229, -18*f + 4 = -20*f. Is g a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-5*sqrt(88)*-2 + (2*sqrt(88)*5 - sqrt(88) - sqrt(88)))\/(sqrt(88)\/(sqrt(22)\/sqrt(2))*2).\nAnswer: -18*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 27151, -4\/7 in descending order.\nAnswer: 27151, 0.1, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11, 5, -15, -55, -121, -219, -355, -535?\nAnswer: -765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*d + 10170849 + 7363151. What is d rounded to the nearest one hundred thousand?\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -31925 > -31925?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 30 + -20. Suppose 0*u + 20 = g*u. Solve 2*t + 5*n + 29 = 0, 0 = u*t - 7*t - 5*n - 35 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = 4*c - s, -4*c - s + 33 = 60 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, -61, 17934, 0.5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/1)\/((-2)\/10).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 6*g**3 - g**2 - 4*g - 2. Let p be 42\/10 - (-7)\/(-4 - 31). Let f(l) = -5*l**3 + 3*l + 1. What is p*f(x) + 3*k(x)?\nAnswer: -2*x**3 - 3*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 11, 78 in ascending order.\nAnswer: -2, 11, 78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -189609 smaller than -189609?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5.84 - 0.822. Let b = 0.018 - j. Sort 5\/4, b, 1\/4 in decreasing order.\nAnswer: 5\/4, 1\/4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1001 (b) -1 (c) -2\/5 (d) -18\/7 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 73134005 to the power of 1\/3, to the nearest integer?\nAnswer: 418","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 + -48)\/1 - 4. What is m rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 206\/(-96)*2*2 and ((-6)\/4)\/((-18)\/22).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes before 8:06 PM?\nAnswer: 12:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-198)\/132*(20\/(-6) - 0). Suppose 4*u + 209 = -2*p + 1077, -3*u = x*p - 658. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00708686706 rounded to 6 dps?\nAnswer: -0.007087","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 - 43?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 104202 less than or equal to -23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*n**3 + 194350*n**2 - 2331660*n + 6994440.\nAnswer: -5*(n - 38858)*(n - 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 1, 5*h - 21001 = u + 11685. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 629771492688518799213745613\/42840378 + -14700418672508417953. Let n = -2\/2380021 + f. Let t = 790 + n. Find the common denominator of 17\/8 and t.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2356546 to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -5 + sqrt(108) + sqrt(108)*2 + sqrt(108) + (sqrt(108) - (4 + -1 + sqrt(108))).\nAnswer: -11 + 24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 4*z - 33 + 9 = 0, -4*z = 5*r + 8 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 329 - 3?\nAnswer: 326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Total of 315.4 and 394.\nAnswer: 709.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.7610938 rounded to 2 decimal places?\nAnswer: -1.76","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the first derivative of -3*a**4\/4 - a**2\/2 + 26. Find the second derivative of u(i) wrt i.\nAnswer: -18*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m**(4\/9))\/((m*m\/m**(-2\/17)*m)\/m))**(-5))**(-14) assuming m is positive.\nAnswer: m**(-7210\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 128974 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152) + (sqrt(152) + sqrt(152)*-2 + sqrt(152))*5 + sqrt(152) - sqrt(152))\/(-5*sqrt(8)*5).\nAnswer: -sqrt(19)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57590 = -799*u + 3014*u for u.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vzvvzzzzvzzvv. Give prob of sequence vzv.\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 2*k**3 + 6*k**2 + 9*k + 6. Let s be t(-3). Which is greater: -4.1 or s?\nAnswer: -4.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(-2\/5))\/(m**(-4\/7)*m*m))\/((m\/(m*m**10))\/(m*m*m\/m**(-5))) assuming m is positive.\nAnswer: m**(629\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 261905268 to the nearest integer?\nAnswer: 16183","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -504010 = -4*q - 2*p, 4*p = -6 + 26. Let k be 1*(-11)\/((-33)\/q). What is k rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1485281.61us in days?\nAnswer: 0.000017190759375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-8 - -17) + 3)\/(106 + -104)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 289068311, 578136620, 867204929?\n\"Answer: 289068309*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**2 + 6046*k - 7046030. Calculate h(1000).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 166 is divided by 56.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -2*z**2 + 3*z + 3. Let g(x) be the first derivative of x**3\/3 - x**2 - 3*x + 20. Give 3*g(l) + 2*t(l).\nAnswer: -l**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 + 6. Does 5 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3595, 28840, 97357, 230782, 450751, 778900, 1236865?\nAnswer: 1846282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - -21) + -4 + -9 + 4\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*p = 216032 - 213553 - 718859. List the prime factors of p.\nAnswer: 2, 7, 17, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 2*u - 15. What is the tens digit of q(15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-12)\/(-18))\/(24\/1264). Let x = b - 319\/9. What is the third smallest value in 27, x, 5?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -920 divided by 2267?\nAnswer: -920\/2267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t**5 + t**5 - 2*t**5 + (-4*t + t + t)*(t**4 + t**3 - t**3) - 4*t**5 - 7*t**2 + t**4 + 2310*t**3 - 2310*t**3.\nAnswer: -8*t**5 + t**4 - 7*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 297471460?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 5*s + 6. Let o(f) = -11*f - 11. Let a(c) = -c**3 + 7*c**2 - 20. Let t be a(6). Suppose -t = 25*p + 209. Give p*n(j) - 4*o(j).\nAnswer: -j - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/14 - ((-38)\/7 + 5). Suppose 5*k - 1705 = 5*r, 0 = -d*k + k + 3*r - 341. List the prime factors of k.\nAnswer: 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -7397943*w - 9332. Let r(z) = -2378*z - 3. Give 9332*r(i) - 3*t(i).\nAnswer: 2333*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*v**4 + 1059*v**3 - 126630*v**2 - 257472*v = 0. Calculate v.\nAnswer: -447, -2, 0, 96","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes after 3:59 AM?\nAnswer: 9:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 4*m - 3*z + 62, -2*m + 4*z - 36 = 0. Let r = m + 10. Factor 0 + 0*c + r*c**2 - 2\/3*c**3.\nAnswer: -2*c**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0459387 kilograms to grams.\nAnswer: 45.9387","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1063114 + 1063114.02456917. Let t = -0.02454 + g. What is t rounded to six dps?\nAnswer: 0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -2*m + 4. Let p be r(0). Suppose -3*v + 4 = p*f, -v + 10 = 2*v + f. Solve -12 = -v*o - g, -o - 2*g = -2 - 1 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**4\/3 + 74522*v**3 - 4165667968*v**2 + 174914238464*v\/3.\nAnswer: -v*(v - 111776)**2*(v - 14)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the third derivative of -d**7\/231 + d**6\/220 + 7*d**5\/330 - d**4\/44 - 2*d**3\/33 + 11*d**2. Find k such that l(k) = 0.\nAnswer: -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 443300095?\nAnswer: 5, 7, 83, 152599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -220867747*d + 54736844 with respect to d.\nAnswer: -220867747","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 246, 313, 518, 939, 1654, 2741?\n\"Answer: 13*g**3 - 9*g**2 + 3*g + 239","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17892 - 16938.1. Round i to the nearest 100.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.12 * -2.\nAnswer: -4.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -48 + 47. What is the nearest to u in 5, 2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 437462 and 59.\nAnswer: 437521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w and 1 l when four letters picked without replacement from {l: 1, w: 7, k: 5}?\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -10 or 40537?\nAnswer: 40537","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o = -11*o + 25. Find the first derivative of o*p + 12*p + 9 + 2 + 10*p wrt p.\nAnswer: 27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*i - 75292 = -62*i - 5*s, 0 = -4*i - 5*s + 100401. List the prime factors of i.\nAnswer: 7, 17, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = -4*n + 59. Let x be (96\/(-64))\/(n\/(-32)). Solve -1\/3*a**2 - x + 8\/3*a = 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 21*k**2 + 5*k - 4. Let z(o) = 20*o**2 + 4*o - 3. Calculate -4*d(a) + 5*z(a).\nAnswer: 16*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.48 + 0.68. Which is the third smallest value? (a) -0.4 (b) 0.5 (c) q (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 56480 and 106540?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/2, 9, 1\/3, -22.5, -0.1.\nAnswer: -22.5, -0.1, 1\/3, 5\/2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -k**3 - 3571*k**2 + 8*k**4 + 3515*k**2 + k**3 + 2 to x*k**3 + b*k**2 + d*k**4 + p*k + w and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21302 is divided by 18?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 11 (b) -4 (c) -2\/13 (d) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 17 - 1?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 19.19 to the nearest integer.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7.6? (a) -5 (b) 0 (c) -0.7 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 10*c**2 - 126*c + 408. Calculate t(8).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**3 + 7*h**2 - 5*h + 37. Let c be g(7). Suppose 0 = -c*i + 63 + 631. List the prime factors of i.\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-2)\/y)\/y*y*y**9)**(1\/45) assuming y is positive.\nAnswer: y**(2\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*h**3\/17 - 24*h**2\/17 - 40*h\/17 = 0. What is h?\nAnswer: -10, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 7*u**2 + 39*u - 42. Let g be x(-9). Calculate the greatest common factor of g and 1131.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3042 - -11931. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (20\/(-15))\/((-8)\/(-84)). Which is greater: -12 or p?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.10026 + -242.60026. Which is smaller: p or 1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = r - 3*u - 2*u, 5 = -u. Let j(p) = -p**2 - 23*p - 26. List the prime factors of j(r).\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((6 - 4 - 1)*(-k + k - 66*k) - 2*k + 2 - 2)*(-1 + 1 - k**4).\nAnswer: 68*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4752822?\nAnswer: 2, 3, 197, 4021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**3 - 22*r**2 - 50*r - 184. Let s be x(-29). Calculate the greatest common divisor of s and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101011110110101 - 100011110?\nAnswer: -1101100011010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in -3\/2, 3, -130\/11, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-1)\/(9\/25029*-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 - (-6 - (-6 + -13))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -4*a + 89. Let k(u) = -20*u - 3. Calculate the remainder when k(-3) is divided by y(15).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*h**3\/5 - 6*h**2 + 48*h\/5 + 8\/5 = 0 for h.\nAnswer: -2, -2\/13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72*d**2 + 72*d**2 - 2954*d**3 + 206*d**3.\nAnswer: -2748*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes after 8:49 AM?\nAnswer: 9:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 4*t = -2740. Let w be ((-2)\/2)\/5 + 117\/(-15). Find the common denominator of 2\/(-30)*1*t\/w and -99\/10.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68*f**2 + 146*f**3 - 68*f**2.\nAnswer: 146*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i. Let b(r) be the second derivative of r**5\/120 + 2*r**3\/3 + 5*r. Let w(o) be the second derivative of b(o). What is j(w(n))?\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.52 + 0.12. Sort 2\/13, i, 0.2 in ascending order.\nAnswer: i, 2\/13, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -25*r**2. Suppose 32*b = 24524 - 5036. Let m(s) = 0*s**2 + 1217 - 608 - b + 2*s**2. Determine x(m(g)).\nAnswer: -100*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**3 + 6*r**2 + 7*r + 7. Let x be m(7). Let q = x + -8. Which is the nearest to q? (a) 0.5 (b) -2 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -3*w - 16. Let p be c(-6). Put 3, -39, p in increasing order.\nAnswer: -39, p, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(19)*4 + sqrt(19) + (sqrt(931)*-5)**2 - (4 + -2*(sqrt(1539) + -1)).\nAnswer: 23*sqrt(19) + 23268","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the second derivative of d**4\/6 - 17*d**3 - 52*d**2 - 25*d. Let t be k(52). Solve t = 5*p - v + 8, 5*v + 6 = -4 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-36))\/1*(-993411)\/(-883032)?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 22*n**2 - 13*n - 17. Let q(y) = -11*y**2 + 6*y + 8. Give -6*p(h) - 13*q(h).\nAnswer: 11*h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 379, 365, 325, 247, 119?\n\"Answer: -2*m**3 - m**2 + 3*m + 379","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -5285, -5527, -5755, -5963, -6145, -6295, -6407?\n\"Answer: a**3 + a**2 - 252*a - 5035","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 3*g**3 - 5*g**2 - 5*g + 4. Let i(v) be the first derivative of -4\/3*v**3 + 3*v - 2*v**2 + 14 + 3\/4*v**4. Give -4*f(b) + 5*i(b).\nAnswer: 3*b**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 620800 is divided by 620725?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 13*q + 60*q - 208 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand m**3 - m**3 - m**3 + (4*m - 2*m + 0*m)*(2*m - 2*m + 2*m**2) + (-m + 4 - 4)*(219*m + 14*m**2 - 219*m) - 5*m**3 + 0*m**3 + 3*m**3.\nAnswer: -13*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 w when two letters picked without replacement from wpz.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -21.99 (b) -2 (c) -3524\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15)\/(sqrt(5) + sqrt(45)))**2 + 0 + 2.\nAnswer: 35\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 19*t**3 + 4*t**2 - 9*t + 20. Let z(y) = 39*y**3 + 7*y**2 - 16*y + 38. Determine 7*a(c) - 4*z(c).\nAnswer: -23*c**3 + c - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 334028221 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 2*a + 4, -3*m - 3*a = 2*m - 20. Let n = -59319 - -59319. Solve n = -m*p - 5 + 21, 4*p = 2*d + 24 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(847) + sqrt(7) - (sqrt(7) + (sqrt(77) - (-4*sqrt(77) - sqrt(77) - sqrt(77)))\/sqrt(11)) - ((sqrt(28)*-2 + sqrt(28))*1 - sqrt(28))*-5)**2.\nAnswer: 35287","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l + 520000. Let z be (-2)\/5 - 17\/(-5). Suppose 1 = q + 4*o - z, -4*q - 2*o + 2 = 0. Let v be p(q). Round v to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o**3 + 0*o**3 + 5*o**3)*(4 - 8 - 7).\nAnswer: -22*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112*q**4 - 2332*q**3 + 12608*q**2 - 9152*q + 1536 = 0. Calculate q.\nAnswer: 1\/4, 4\/7, 8, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5056.9 + -6340. Let x = 1282.5233 + k. Round x to two decimal places.\nAnswer: -0.58","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 530256005.\nAnswer: 5, 43, 1321, 1867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 m when two letters picked without replacement from {z: 2, a: 2, m: 9}.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 42965918 to the power of 1\/2, to the nearest integer?\nAnswer: 6555","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -84, 0.5, -1\/4, -5, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1227 is divided by 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes before 9:51 AM?\nAnswer: 4:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-80)\/50*3\/(-12).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -6*f - 4. Let j(o) = 13*o + 9. Let h be (-3)\/2*(-1 - -7). Let u(n) = h*q(n) - 4*j(n). Let b(k) = 2*k. Determine u(b(c)).\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y - 2. Let z be u(7). Let w(i) = i**3 - 2*i**2 + 7*i - 23. Let x be w(z). Let p = 217 - x. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2735124313 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18761 + -65479. Let o = y + 46718.0599993. Let t = -0.06 + o. What is t rounded to seven decimal places?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -8 - -8807?\nAnswer: 8788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g - 4*g + 6*g)*(1 + g - 1) + 4*g - 4*g - 2*g**2 + (0 + 3 - 7)*(3*g**2 - 2*g**2 + 2*g**2) - 3*g**2 + 3*g**2 - 2*g**2.\nAnswer: -12*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*t**4 + 45*t**3 - 100*t**2.\nAnswer: -5*t**2*(t - 5)*(t - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 811 = 5*z - 2*l - 2*l, l = 2*z - 325. What is the derivative of -3 + 1 - 1 + 67*s + z*s + 0 wrt s?\nAnswer: 230","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18564\/(-3536)*(-8)\/(-7))\/((-6)\/20 - 0)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 70 + 131. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17104*i - 8 = -17105*i, -3*j - 4 = -2*i for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3288 + 3289 - (0 - 37).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 3*a. Let q(z) = 1608*z**2 + 168*z. Let j = -275 - -280. Let s(f) = -48*f**2 - 5*f. Let b(k) = j*q(k) + 168*s(k). What is u(b(m))?\nAnswer: -72*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 7*t - 30. Let i(n) = 4*n - 3 + 27 + 9*n - 28*n. Calculate the remainder when i(t) is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**3 - 5*w**2 + 6*w + 2. Let x(m) = -2*m**2 - 4*m - 5. Let a be x(-2). Let o be b(a). Let d = o - -30. What is the closest to d in -0.4, 0.3, 0.2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 99944 to the power of 1\/2, to the nearest integer?\nAnswer: 316","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 11100100011110010110 (base 2) in base 10?\nAnswer: 935830","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -59*f**3*l**3 - 3*f**3 + f**2*l**2 + 8*f**2*l - l**3 wrt l.\nAnswer: -354*f**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -23.41 + 21.9. Let h = -2.32 - z. Round h to 1 dp.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 549062536?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7688 - -18361. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 170 + -173. Which is the third smallest value? (a) -0.2 (b) r (c) 4 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 13, 19, 25?\n\"Answer: 6*p + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*u - 35 + 182 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -3*l + 1. Let i be z(10). Let c = i + 45. What is the remainder when 46 is divided by c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -b**3 + b**3 + b**3 + (-4 - 1 + 3)*(4 - 4 + b**3) + 4*b**3 - 26*b**3 - 4*b**3 to l*b + o + k*b**2 + c*b**3 and give c.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2509140 and 4750.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -145, -296, -447, -598, -749?\nAnswer: -900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 greater than -12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6 - 3)*(1 - -2). Let m(c) = 3*c + l*c**2 - 3 - 3*c. Let q(y) = 18*y**2 - 5. Let f(j) = 5*m(j) - 3*q(j). Let i(o) = -o. Determine f(i(x)).\nAnswer: -9*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 + 7318*l**3 + 26470*l**3 - 9058*l**3.\nAnswer: 24730*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 57*f**3 - 60*f**3 + 11*f + 1 - 3 - 6*f**2 + 6. Is m(-6) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 + -1)*(3 + (6 - 8)). Let x be (1\/3)\/(8\/6). What is the second biggest value in l, x, 5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4115 + 4487. What is the smallest common multiple of o and 18?\nAnswer: 1116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -b**3\/8 + 83*b**2\/8 - 121*b\/4 + 20 = 0.\nAnswer: 1, 2, 80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 22057520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand k**2 + 3*k**2 - 2*k**2 - 4*k**2 + 2*k**2 + 4*k**2 - 5*k**2 + 2*k**2 + k**2 + (1 - 2*k**2 - 1)*(4 - 5 - 1) - 2 + 2 + 2*k**2.\nAnswer: 8*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:30 PM and 12:04 AM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (15\/(-6))\/(1\/(-2)). Suppose -4 + 29 = k*i. Which is the closest to 0.1? (a) 0.4 (b) i (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*a + 4*x - 56804 = -56684, -2*a - 2*x = -24 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 + 13. Suppose y*f = 5*o - 51 - 68, -3*o + 93 = 3*f. Let h = o + -11. Is h a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the second derivative of 8*m**3 - 201*m**2\/2 - 153*m. Let w(f) = 192*f - 805. Let l(b) = -9*t(b) + 2*w(b). What is the derivative of l(v) wrt v?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -450, -1981, -4532, -8103, -12694, -18305, -24936?\nAnswer: -32587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -480 + 489. What is the highest common factor of l and 81?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and -163748253.\nAnswer: 49124475.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 385405, 770895, 1156457, 1542097, 1927821, 2313635, 2699545?\n\"Answer: n**3 + 30*n**2 + 385393*n - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {d: 2, v: 6}?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/((-4)\/(-38)) + -3 - 7?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -4 - 550*w + 7 - 9 + 4 + 3. Let b(r) = 2*r**2. What is h(b(q))?\nAnswer: -1100*q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -584*o. Let l(d) = 1675*d - 818*d - 858*d. Give l(h(s)).\nAnswer: 584*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 98\/(-735) - 6330\/(-225)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 233*s**2 + 6*s + 5. Let h be w(-2). Suppose 3*k + 154 - h = 0. What is the second derivative of -138*f**4 + k*f**4 - 156*f**4 - 11*f wrt f?\nAnswer: -444*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 + 8. Let s be ((-5)\/5)\/(g\/(-5)). Suppose -33 = -s*n + 17. List the prime factors of n.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, m: 5, x: 4}. Give prob of sequence mmam.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*t**4\/9 - 106*t**3\/9 - 4*t**2\/3 = 0 for t.\nAnswer: -3, -2\/17, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5110709 is divided by 51?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -137*s + h = -326*s + 192*s - 117, -h = -3 for s.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:22 PM and 7:04 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1544*s = -1602*s + 1741856000. Round s to the nearest one hundred thousand.\nAnswer: 30000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12 + 8. Suppose 19 = 4*l + 3*t, 0*l = 3*l - t - 11. Solve -4*w + x = -x + o, 0 = l*w + 3*x for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (102\/8)\/(9\/(-72)). Let v = -73 - t. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -41849207*q**2 - 3545163?\nAnswer: -83698414*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14*l*w**3 + 5*l*w - 149*l + 24*w**3 + 3*w**2 wrt w?\nAnswer: 84*l*w + 144*w + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 61030 (base 7) in base 13?\nAnswer: 6952","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.6223044 - 835.4985044. Let c = 835 + u. Let v = c - 0.12380821. What is v rounded to 6 dps?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17.4 - 9.5. Let x = -6.9 + w. What is the nearest to 0.1 in -1, -3, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-1)\/a*a)**(-2\/3)*a**(-2\/3)\/(a**(-1)*a*a))\/((a\/(a*a*a\/(a*a**1)*a))**(-1\/8))**(3\/25) assuming a is positive.\nAnswer: a**(-203\/200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -4*f**3 + 21*f**2 + 18*f + 4. Let t be q(6). Suppose 0 = -t*h - 2*h + 30. Solve h*o + 2 = -3 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/9, -816, -4, 1.4?\nAnswer: -816","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -61*n - 4. Calculate b(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30\/(-18))\/(-5)*(-11 + 8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 29439*r**2 - 3*r - 4. Let h be n(4). Suppose 71008 - h = w. What is w rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 2*n. Let k = -24 - -26. Let a(o) = -o. Calculate k*l(x) + 3*a(x).\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:35 AM and 3:21 PM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(104)\/sqrt(72) + -4 + sqrt(13) + 1)**2 + 3.\nAnswer: -40*sqrt(13) + 1472\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 46\/10 + (2 + 0)*-2?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -5956*l - 2845. Is h(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 105 a factor of 853391?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 5*s + 10, 3*p - 21 = s - 3*s. Let m(f) = 44*f**2 - 8*f + 3. What is the remainder when m(1) is divided by p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45\/(176\/((-140448)\/1026)).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20 - (0 + 2)) + -398 + 395.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = 3*z + 4*s + 6 + 6, 7*s = -7*z + 5*z for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 0.3, -302\/3, -28, -2\/9, 4 in ascending order.\nAnswer: -302\/3, -28, -2\/9, 0.2, 0.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 52 = -4*k, 5*y = -k + 81 + 40. Solve -5*g - 29 = -y for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 16*x + 86. Let s(l) = -l. Let g(a) = -n(a) - 3*s(a). What is the units digit of g(-8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 5*y = -44889, 165 = 4*y + 185. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a millennium in years?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2*((-3)\/6)\/(-1). Is ((0 - s) + 2)*46 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 25*v. Let t(a) = 98746*a. What is b(t(l))?\nAnswer: 2468650*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**2 - 180633957*l - 361267926.\nAnswer: 3*(l - 60211321)*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1*2 + (9 - 3). Suppose -3*i + m = i. Solve 8 = i*w - 0*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 341*v**2 + 237*v - 13591. Is c(47) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4213?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pj when two letters picked without replacement from {p: 3, j: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19457140?\nAnswer: 2, 5, 19, 51203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2*(-57)\/(-30) + 8\/(-10). Suppose -l*s = -1 - 86. Let y = s - -131. What are the prime factors of y?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 258 is divided by 113?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -4*s + 45, 15 = 2*s + b - 2*b. Suppose -s = -2*y + y. Let a be y\/25 - (-23)\/(-65). Which is bigger: a or -1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 120 and 30?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*g + 6*z + 8, 2*z + 2217 = 2223 for g.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j + 8. Let d = -60 - -65. What is o(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - ((-9 - 5) + 5).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 712?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 194869 to the power of 1\/5, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 1 r when three letters picked without replacement from {h: 4, c: 3, r: 1, x: 6}?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 - 17. Let y(h) = -10 - 2*h - 5*h + 4*h + 4. Is y(c) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 23*j. Let h(p) = 2*p + 162. Give b(h(z)).\nAnswer: 46*z + 3726","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 + -32 - -10) + (-1 + 29 - (-23 - -26))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(-5)*155\/62. Solve -c - 5 = z - 3, 0 = 2*z + r for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 5*o, -27 = -0*o - 2*o + 5*l. Suppose o - 4 = -d. Suppose -16 = -c + d*p, -c - 20 = -5*c + p. Solve -3*n + 12 = 4*b - 0, -2*b - c*n = -6 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*k**3 + k**2 + 0*k**2 - 3*k**2 - 5*k**3 wrt k?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72*m - 15 - 48 - 153 = 0. Solve 9 = 3*t + 3*g, 1 = -m*t + 3*g + 10 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 4\/31 (b) 2\/3 (c) 0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(288)*-3 - (sqrt(288)*1 + -4)) + 2 + 1)**2 + 5.\nAnswer: 336*sqrt(2) + 1206","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 + z + 1. Let j(m) = -4*m**3 + 2*m**2 - 4*m - 3. Let y(v) = -v**3 + 1. Let s(k) = -j(k) + 2*y(k). Calculate 4*l(u) - s(u).\nAnswer: 2*u**3 + 2*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -100011011000 (base 2) in base 3?\nAnswer: -10002212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 216*m**3 - 149*m**5 - 82*m**2 + 469*m**2 - 216*m**3 + 219*m**2 wrt m?\nAnswer: -8940*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0004192067 rounded to six dps?\nAnswer: 0.000419","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 101 divide 318200?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 45.2 - 50. Let f = g + 4.9. What is the second smallest value in -0.3, -5, f?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 8*m**2 + 5*m + 5. Let l(q) = 57*q**2 - 2 - 53*q**2 + 4 + 2*q. What is -2*c(j) + 5*l(j)?\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**2 - 12*a - 16. Determine s(-11).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 2*q**2. Suppose -d = 3*d - 8. Let i = 2 - 0. Let p(a) = i*a - a**2 - d*a. Give v(p(s)).\nAnswer: 2*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1.054 or 1?\nAnswer: 1.054","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) 156 (c) -70\/9 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + p = -61 + 10, -5*s - 2*p + 63 = 0. Suppose 4*b - 5 - 51 = 0. Suppose 64 = 2*c + b. Calculate the remainder when c is divided by s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -0*a. Let m(c) be the third derivative of c**5\/60 + c**4\/4 + 4*c**3\/3 + 2*c**2. Let y be m(-4). Is y less than or equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 9, u: 7}. What is prob of sequence luu?\nAnswer: 9\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 26 + 6?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/36*2352\/29680*53?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the second derivative of 0*z**2 - 3*z - 1\/6*z**3 + 0 + 1\/12*z**4. Let v(k) = -k**2. Let j(a) = -p(a) - 2*v(a). Determine n, given that j(n) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 35.41 - 35. Let x = l - 0.01. Let s = x + 0.1. Which is the biggest value? (a) -2 (b) 3\/7 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*i**3*w**2 - 5*i**3 + i**2*w**2 + 6*i**2*w wrt i.\nAnswer: -12*w**2 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 + 3*r**2 + 4. Let l be k(-3). Let a = -482 - -966. Suppose 0 = -l*c - 4*g + a, g - 14 = -2*c + 227. List the prime factors of c.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 + 2*s**2 - s + 2. Let q be w(-2). Let u = -1 + 8. Suppose u*j = 10*j - 12. Solve -21 = -j*d + a, 3*a - 1 + q = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 767\/(-39) + (-143)\/(-156) + 2\/(-8).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 13 = 33. Suppose x = -3*c + 5*c - p, 3*c = -x + 25. What is the units digit of 211*-1*(-10 + c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000574504 to five dps.\nAnswer: -0.00057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -21 - -19. What is the nearest to -1 in f, 0.2, 1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*i - 379918 + 53218 = 0. Round i to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -27*v - 539. Give g(-19).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -62*m**4 - 12*m + 0 + 58*m**4 + 0 - 4*m**3 + 20*m**2.\nAnswer: -4*m*(m - 1)**2*(m + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5566873 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 2*w**3 + 4*w**2 - w - 2. Let a be t(1). Solve -4*v + 4*x = -16, 0*v + 4 = v - a*x for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w**3\/8 + 708675*w**2\/8 + 48106668*w + 6538733664 = 0. Calculate w.\nAnswer: -235681, -272","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 182*d. Let t(k) = 2 - 4 - 3*k**2 + 0 + 0. Let n(v) = 16*v**2 + 11. Let g(j) = 2*n(j) + 11*t(j). Give g(i(h)).\nAnswer: -33124*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the third derivative of 0*c - 5\/8*c**4 + 0 + 0*c**3 + 0*c**5 + 16*c**2 + 1\/10*c**6. Find the second derivative of b(l) wrt l.\nAnswer: 72*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -437 + 440. Solve 4*z = d + 21 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 19721627?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 3*m**3\/5 + 74721*m**2\/5 + 104586*m + 149400 = 0.\nAnswer: -24900, -5, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4250*p**3 - 1415*p**3 - 1416*p**3 - 1176*p**2 + 1176*p**2 - 1409*p**3 + 3.\nAnswer: 10*p**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 3*c**3 + 5*c**2 + 46. Let o(j) be the second derivative of -j**5\/20 - j**4\/6 - 23*j**2\/2 + 4085*j. Calculate 10*o(n) + 4*s(n).\nAnswer: 2*n**3 - 46","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in f**2 + 0 + 759*f**3 - 2 + 2.\nAnswer: 759*f**3 + f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00009328 rounded to six decimal places?\nAnswer: -0.000093","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -5*q + 32. Suppose -z + 0*z = -q. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 + -4.84. Let v = c - -16.84. Let y = 12 - v. Put 1, 3, y in decreasing order.\nAnswer: 3, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7421 - 7418. Let d(q) be the third derivative of -3\/50*q**5 - 11*q**2 - 4\/15*q**v - 1\/1050*q**7 + 1\/6*q**4 + 7\/600*q**6 + 0 + 0*q. Factor d(w).\nAnswer: -(w - 2)**3*(w - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-40)*(-90)\/12)\/(4\/16)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**3 + 973*g**2 - 172277*g - 157. Give r(153).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 13504 divided by -4?\nAnswer: -3376","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2649 (base 10) in base 3?\nAnswer: 10122010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-228))\/((-14)\/(-16))*21\/6.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 97022685?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 9469.309ml?\nAnswer: 9.469309","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -783794 - -6262311\/8. Let l be (57\/(-3))\/((-1)\/(-53)). Let m = i - l. What is the common denominator of 101\/6 and m?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**3 + 8*s**2 + 9*s. Let w be u(9). Suppose w = 3*b + 3*x - 12, 3*x = 4*x. What is the smallest common multiple of 14 and b?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (322\/7)\/(2 + 0). Let q = 49 - w. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, i: 3}. What is prob of picking 2 i?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.3 - -1.3. Which is the smallest value? (a) 3 (b) 0.4 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -404695\/8 in -1\/8, -4\/13, 1\/7?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9 - 1 - 1)*(-w + 3*w - w)*(1 - 54 - 1) to the form y + u*w and give u.\nAnswer: 594","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 464*q + 2564. List the prime factors of u(21).\nAnswer: 2, 17, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from esees. Give prob of picking 1 e and 2 s.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the second derivative of m**6\/120 + m**4\/6 - m**3\/6 + 4*m. Let n(y) be the second derivative of f(y). Find the first derivative of n(c) wrt c.\nAnswer: 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -62 - -62.057. Let r = -0.0569951 + u. What is r rounded to 6 dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.018039 and 44358408.\nAnswer: 44358408.018039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(250)\/sqrt(2) + sqrt(20)\/sqrt(64) - (4 + sqrt(5)*-3 + -2)**2*-4.\nAnswer: -171*sqrt(5)\/4 + 196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*x**4 - 23*x + 1 + 2 - 2*x**3 + 22*x - 4 + 5*x**2 to the form l + t*x**2 + h*x + r*x**3 + p*x**4 and give t.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -4*d**2 - 38*d - 202. Suppose 13 = 2*f + 9. Let p(w) = 9*w**2 + 75*w + 405. Let u(z) = f*p(z) + 5*t(z). Factor u(l).\nAnswer: -2*(l + 10)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 780289 is divided by 10271.\nAnswer: 9964","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -2*y**3 + 286*y**2 + 9*y - 3. Let o(t) = 5*t**3 - 572*t**2 - 21*t + 7. Give 14*d(h) + 6*o(h).\nAnswer: 2*h**3 + 572*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -50, -36, -1, 3, 36 in increasing order.\nAnswer: -50, -36, -1, 3, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1d0c8 (base 14) in base 2?\nAnswer: -10010001000011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than -171\/8413?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 725 and 120263?\nAnswer: 3006575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -50254*j**2 + 49795 wrt j?\nAnswer: -100508*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/(-15)*(-36)\/(-15). Let z = -14\/25 + t. Which is the second biggest value? (a) 4 (b) -19 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 164 = 5*q, -2*d + q + 172 = 2*q. Is 25 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:05 AM and 3:11 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -11*f + 76*f**2 + 15*f + 34*f**2 - 4*f. Let l(r) = r**2. Give h(l(c)).\nAnswer: 110*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*i = 10*i + 120. Let z = 26 + i. What is the tens digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30, -104, -188, -288, -410, -560, -744?\nAnswer: -968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 4*w. Let g be v(1). Let f = g + -1. Let c(l) = 6*l - f*l - 4*l. Let a(r) = 3*r. Determine a(c(j)).\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 430 + -67. Suppose 4*x - m = -293, 5*x + m = -m - v. What is x rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-246)\/(-41))\/(3\/(-2)*1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 20117 + -5624. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 3 + (-6 - -3)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in five quarters of a tonne?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -9*f**2 - 60*f - 215. Calculate z(-4).\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 96 divide 24960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the third derivative of -23*n**4\/24 + n**2. Let v(u) = 61*u + 30. Let b(r) = 660*r + 325. Let k(z) = -6*b(z) + 65*v(z). Give k(i(y)).\nAnswer: -115*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -871, -3960, -12333, -28630, -55491, -95556, -151465?\n\"Answer: -440*z**3 - 2*z**2 - 3*z - 426","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(30)\/sqrt(6))**2 + (2*sqrt(35))\/sqrt(7) - (sqrt(5)*-1*3 + (sqrt(20))**2 + -2).\nAnswer: -28 + 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 948879 and 20943?\nAnswer: 12335427","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (490\/(-12)*(-35 - (-6802)\/190))\/((-1)\/3)?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (11 - 16) + (2 - -1) + 1 + 7\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -512443112*h**3 - 368261546 with respect to h.\nAnswer: -1537329336*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-35 + 17 + 5*i + 16)*(125*i**3 - 1438 + 1438).\nAnswer: 625*i**4 - 250*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-7)\/2)\/7*-8. Suppose j + 3 = c. Calculate the greatest common divisor of 56 and c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 9, t: 1, g: 10}. Give prob of picking 1 t and 2 g.\nAnswer: 3\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 19 = -p, 2*o = -4*p + 3*o + 16. Which is the smallest value? (a) -5 (b) p (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -3*m + 36. Suppose -2*f - 20 - 10 = 0. Let t = 13 + 15. Calculate the remainder when v(f) is divided by t.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8640 bigger than 95047\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1190799?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-63)\/45*2\/7. Put q, 0.01, 35 in descending order.\nAnswer: 35, 0.01, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18794064 divided by 20744.\nAnswer: -906","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(-4) - 26\/8. Let k(p) = -17*p**2 - 3*p + 3. Let a(m) = -152*m**2 - 28*m + 28. Let j(q) = o*a(q) + 28*k(q). Let z(w) = w. Determine z(j(l)).\nAnswer: -20*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 14992292431 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 225*y**2 + 111*y + 229. What is the remainder when a(-2) is divided by 48?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9940.615l?\nAnswer: 9940615","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -76 - -107. Is f a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 32*i - 2 - 2*i**3 + 3*i**3 - 367*i**2 - 364*i**2 - 372*i**2 + 1085*i**2. Determine q(16).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 + 2. Let r = 0.687 + 742.313. Let i = r - 742.8. What is the closest to 3\/4 in a, 3\/7, i?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*w + 9 = -8*w, -w + 4 = i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5129975.\nAnswer: 5, 157, 1307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 2*f + 2. Let z be y(2). Suppose 0 = 5*c + 2*t - 7, z*c = 2*c - 3*t. Find the first derivative of 0*l**3 + 3*l**4 + 0*l**c + 6 - 2 wrt l.\nAnswer: 12*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-66)\/4*(-214)\/5885?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/(-4))\/(3\/12). Suppose 2*k = -p*k + 8. Find the third derivative of -4*l**6 + 7*l**6 - 3*l**k + l**2 wrt l.\nAnswer: 360*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*q + 41*q + 45 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 0 (b) -1\/4 (c) 15 (d) 2 (e) 4079 (f) -5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**3 - 4*y**2 - 4*y + 5. Let v be (-6)\/(-2)*(5 - 4). Let o(x) = -x**3 - 7*x**2 - 8*x + 9. Let z(c) = v*o(c) - 5*j(c). Is z(3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 4*i**3 - 12*i**2 - 713*i + 13. Calculate r(-12).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 22 and 214811608.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/7487280 and 13\/880.\nAnswer: 82360080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -17*d**3 + d**2 + 3*d + 5. Let a(y) = 26*y**3 - 2*y**2 - 5*y - 8. Calculate -5*a(g) - 8*s(g).\nAnswer: 6*g**3 + 2*g**2 + g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 4 = -4. Suppose -y*g + 7 + 17 = 0. Factor 0 + 8\/19*d**g - 4\/19*d + 14\/19*d**2.\nAnswer: 2*d*(d + 2)*(4*d - 1)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3, -4, -1, 6, 17?\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, h: 4, q: 2, u: 3}. Give prob of sequence hqx.\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 54 - 52. Find the third derivative of -7*p**2 - 1310*p**3 - 47*p**d + 1342*p**3 wrt p.\nAnswer: 192","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 + -7. Let f = 13 + g. Suppose 4*y + 3*a - 22 = 0, -a - 3 = -5*y + 15. Solve k + y - 3 = f for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (4 + -2 - 7) - 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 14.72734 to two dps.\nAnswer: 14.73","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 30012300 to the nearest one million.\nAnswer: 30000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -74817427579\/1503989800 + -2\/6064475. Let z = f - -399\/8. Is z equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 4, j: 7, d: 3}. What is prob of picking 2 d and 1 r?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 632*j**2 + 55*j**4 - 303*j**2 + 2*j**3 - 57*j**4 to the form p*j**2 + z*j**3 + b*j + n + a*j**4 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -4*v**5 - 36*v**4 + 248*v**3 + 2736*v**2 + 7136*v + 5760 = 0.\nAnswer: -10, -4, -2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1\/42)\/((q*q\/q**(-42)*q*q*q*q)\/q))**(-25) assuming q is positive.\nAnswer: q**(49375\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h - 4*b = -29, -1 = -25*h + 24*h + 4*b for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 398 = -2*z + 3*i, -1002 = -5*z + 4*i. Suppose 534 = 4*f + z. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (25*(-18)\/(-405))\/(-1*((-100)\/45)\/5)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -4694501 divided by 35297\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 18.5 - 69.5. Let x = -51.00000202 - a. Round x to 7 dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 divided by -3750093.\nAnswer: -2\/416677","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 9*p - 54. Let x(d) = 2*d - 11. Let a be 2266\/143 - 16 - (0 + (-628)\/26). Give a*x(c) - 5*m(c).\nAnswer: 3*c + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -85, -2, -118, -41, 4, 1 in ascending order.\nAnswer: -118, -85, -41, -2, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and 84.93002?\nAnswer: 33.972008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.309238 rounded to 2 decimal places?\nAnswer: -0.31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 1728 = 3*j, 2*j - 5*k = -k + 1174. Let o = j - 5243\/9. Which is smaller: -1 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2761 - 1842. Does 5 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j = -13*j + 30. Suppose l = 5*v - 34, 5*v - 37 = -j*l + 3. Solve 6*d + 1 = v*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3274 + 2362 = 3*t - 4*u, 0 = -t + 3*u + 1872. What is the greatest common factor of 12 and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -981 (b) 0.4 (c) 0.3 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1150)\/(-30) + -23*473\/(-2967).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wccccwwpcsccpwwc. What is prob of picking 1 s, 1 w, and 2 p?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -22 - -97. What are the prime factors of ((-94)\/(-5))\/(15\/o)?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 - (2 - (-48 - 1) - (-24 + 25 + 0))?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**3 + g**2 + 15*g + 2. Let d be f(4). Solve -9*o = 2*c - d*o - 14, -2*c - 18 = 3*o for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -372*p - 3364. Calculate the remainder when c(-10) is divided by 159.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 132 and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 176 and 603499952?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*7*((-56126)\/(-57))\/211.\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v + 20 = -5*a, 4*a = 4*v - 18 - 14 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 3*x**5\/4 - 44496*x**4 - 889989*x**3\/4 - 178011*x**2\/2 + 355998*x = 0.\nAnswer: -4, -2, 0, 1, 59333","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 737.5, 0.3, -111?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2211122 (base 4) to base 5\nAnswer: 314321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bs when two letters picked without replacement from bebsre.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2*l**4 - 1)*(6*l + 17 - 17).\nAnswer: -12*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 23 + 61 = 0. Suppose -13*b + 76 = -9*b. Let a = y - b. Solve -3 = -f + a*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 1572?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 - -35. Suppose 6*p - 2 - b = 0. Let z(x) = -2983 + 2983 - p*x. Let v(g) = -2*g. Determine v(z(o)).\nAnswer: 12*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes before 9:33 PM?\nAnswer: 6:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 46 + -8. Suppose 0 = b + 4, -2*p - b + l = p. Suppose -2*d - p = -4*d. What is the remainder when d is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (135 - 137 - ((-9 - -4) + 9)) + -9?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 0, -1\/2, 3\/4, -2\/5, -1289\/6?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -9*c**2 - 245185*c - 21. Let m(k) = k**2. Give a(m(n)).\nAnswer: -9*n**4 - 245185*n**2 - 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 22 + 10. Suppose 0 = m*x - 5*x - 63. Solve 13*h - 16*h = x for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/31 in -20480, -0.047, -0.3?\nAnswer: -0.047","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the first derivative of -11 + 4*u**2 - 1\/4*u**4 + 4\/3*u**3 + 3*u. Is k(-8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 137*w + 15. Let x(l) = 140*l + 13. What is -5*o(r) + 6*x(r)?\nAnswer: 155*r + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 - 21) + 0 + -17 - 27?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 + 442?\nAnswer: 43b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4843 and 6525?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -35, -49, -73, -113, -175?\nAnswer: -265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15 - 14.922. Let g = d - 1.078. Is g at least as big as 1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 44*m + 1642. Let h be r(-38). Let x = -2059\/119 - 211\/17. Is x greater than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -31 + -13. Let t be (-33)\/m*8*2\/(-18). Which is smaller: t or -43?\nAnswer: -43","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -10*k**2 - 4*k. Let p(d) = -39*d**2 - 17*d. Determine 2*p(n) - 9*u(n).\nAnswer: 12*n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 284.87 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u**2 + 3*u**2 - 5*u**2)*(-5 + 5 - 2*u**3) - u**5 + u**5 - 4*u**5 + (-9*u**2 + 93*u**2 - u**2)*(2*u**3 - u**3 - 4*u**3).\nAnswer: -251*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3963638, -15854350, -35672196, -63417170, -99089266, -142688478, -194214800?\nAnswer: -253668226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*g*j**3 + 2*g*j**2 + g*j - 63502*g + 29*j**3 - 6324*j wrt g.\nAnswer: 4*j**3 + 2*j**2 + j - 63502","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.82366 millilitres to litres.\nAnswer: 0.00782366","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from feffkfrfreekrrrrk?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 19195591 a multiple of 1511?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5371 + 150345\/28. Let f = h - -171\/28. Let i = 10030 + -441283\/44. Calculate the common denominator of f and i.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 4*n = -r + 6603, -5*n = -3*r + 6603. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 33837*h**2*o - 3*h**2*t - 33*h*o*t - 2*h*o - 22914*h*t wrt h.\nAnswer: 67674*o - 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 505303128 a multiple of 822?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the first derivative of -n**4\/4 + 2*n**3\/3 + n**2 + 5*n + 2. Let b be m(-5). Suppose -h - b = -6*h. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 3*s. Let f(l) be the first derivative of 11*l**3\/3 - 4. Give f(u(p)).\nAnswer: 99*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j + j = 2*j. Is 3 a factor of (j + 7)\/((104\/(-64))\/(-13))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a millennium in months?\nAnswer: 57000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1.57+0.5\nAnswer: 2.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3687 + 3682. Which is the second biggest value? (a) 0.019 (b) g (c) -1.2 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 595 and 170?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven thirds of a decade?\nAnswer: 280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -47 + (-36 - -54) - (28 + -181)\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 4533 = 3*s, -4*s + 10*j - 7*j = -6044. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 12, y: 2, z: 3}. What is prob of sequence zzy?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 912.000537 + -912. Round m to 5 dps.\nAnswer: 0.00054","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -20*w + 1785. Let a be n(88). Solve -3*c = 3*g - 3, -2*c = -4*g + a + 3 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1424, 1285, 1068, 785, 448, 69?\n\"Answer: 2*r**3 - 51*r**2 + 1473","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 338 a factor of 11279736?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**3 + p**2 - p + 1. What is h(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -888216 divided by -3.\nAnswer: 296072","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.594 in -0.1, -23, -1\/13, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 343 a factor of 1464267?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -j + 3*v - 17, 5*j + 13 + 32 = 5*v for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 37096, 37017, 36922, 36811, 36684?\n\"Answer: -8*a**2 - 55*a + 37159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-449251)\/44)\/(4\/6*15\/(-40)).\nAnswer: 40841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14660 (base 8) in base 4?\nAnswer: 1212300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 1170039?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 542 divide 698638?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 9*c + 28 = -11*c, -2*z - c = 16 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**2 + 13*w + 53. Let z be y(16). Suppose 0 = 5*o - z*b - 1575, -o - o + 635 = -3*b. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + 5 = -5*b, 0*a = 4*a + 5*b + 5 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gekk when four letters picked without replacement from kkkeeegeegkkgg?\nAnswer: 50\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**4\/6 - 43*i**3 - 4154*i**2 - 534316*i\/3 - 2859936.\nAnswer: -(i + 62)**3*(i + 72)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 61909 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/305 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 4*f**2 + 9*f + 2. List the prime factors of q(-6).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -50.0521 times -0.082\nAnswer: 4.1042722","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the second derivative of 11*h**3\/2 - 256*h**2 + 88*h. Differentiate g(u) wrt u.\nAnswer: 33","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.809909201 - -31.309910591. Let m = -4484 + 4456.5. Let q = m + d. Round q to 7 decimal places.\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1291709*g**6 + 2*g**2 + 198*g - 2445 wrt g?\nAnswer: -155005080*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -9*v + 3. Let k(r) = r**3 - 8*r**2 + 5*r + 30. Calculate the remainder when i(-3) is divided by k(7).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -203*x + 2. Let r be t(-1). Suppose -r + 34 = -3*w. List the prime factors of w.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -2*h**3 - 9*h**2 - 24*h - 8. Determine w(-4).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**2 + 8*v - 1. Let n be z(8). Is 10 a factor of n - (-1 - -4 - 22)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4420 not equal to 4420?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1*1)\/(32\/(-38848)). Suppose 5*k - 1300 = 5*r, 0 = 5*k + 4*r - 104 - l. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 9*d**3 + 13*d**2 + 4*d - 7. Let b(x) = -5*x**3 - 6*x**2 - 2*x + 3. Let y(g) = 7*b(g) + 3*r(g). Find the third derivative of y(l) wrt l.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -259755, -260175, -261257, -263331, -266727, -271775, -278805?\nAnswer: -288147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8\/11 + 78\/77. Let l be (-2)\/(-7)*14\/3. What is the biggest value in n, 0.5, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 - (-2 + (-6)\/(24\/(-164))). Let a(h) = -h**3 - 40*h**2 - 6*h - 220. Let l be a(g). Solve -15 = -5*x - l for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes before 2:39 PM?\nAnswer: 1:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 + -20 + (1 - 1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 16*y**3 + 45*y**2 - 53*y - 60. Let b(r) = -3*r**3 - 9*r**2 + 10*r + 12. Let q(u) = -11*b(u) - 2*p(u). Does 9 divide q(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:11 PM and 10:13 AM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(4 + sqrt(6300) + 5) + -1)**2.\nAnswer: 2040*sqrt(7) + 25489","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 5, f: 2}. What is prob of picking 1 m and 1 f?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -291\/2, -24, 1, -206?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -125232370 rounded to the nearest one million?\nAnswer: -125000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/(y**(1\/4)\/y)*y*y)\/y)\/y)**(-28)*(y**(2\/3)*y)**27*(y**8*y**(4\/7))\/(y**(1\/6)\/y**(2\/3)) assuming y is positive.\nAnswer: y**(71\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -32878\/9 + 3647. Let o = 5649 + -33751\/6. What is the common denominator of i and o?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -3197, -3144, -3087, -3026, -2961?\n\"Answer: 2*q**2 + 47*q - 3246","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15 - 253*j**2 + 16*j - 31 + 5 + 41 to the form i*j + v + r*j**2 and give i.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*w, -k + w = -0*w + 1. Let y = k + -2. Let t be -1*(-1 + 8\/10). Is t bigger than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*d - 2*d - 2*d)*(-3 + 1 + 1) + 4*d + d + 12*d + (2*d + 0 + 0)*(3 + 3 - 4) + 3*d - 5*d + 3*d + 4*d - 7 + 7 to n*d + r and give n.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 2*w**2 + 3 + (0 + w + 0)*(-4 - 3*w + 4) + 76*w**2 + 58*w**2 + 86*w**2 in the form u*w**2 + j*w + d and give u.\nAnswer: 215","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 17*c**2 + c. Does 3 divide p(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - ((5 - 30) + 139 + -50).\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 60 and 35570?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -26287996, -26287994, -26287992, -26287990, -26287988, -26287986?\n\"Answer: 2*w - 26287998","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -278\/25 + -7\/25. Calculate the common denominator of 119\/10 and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = 6*o - 9*o for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.2 + -2.2. Suppose -72 = -14*t - 4*t. Sort t, u, -4 in decreasing order.\nAnswer: t, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -911*d*v**4 + 76*d*v**3 + 66*d*v**2 + d*v - 4*v**4 + 2*v**2 - 119*v + 2 wrt v?\nAnswer: -21864*d*v + 456*d - 96*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 164160\/(-118440) - 36\/846.\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 822 - 405. Does 23 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 3*t - 5. What is z(0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*u**4 + 1215*u**3 - 3680*u**2 + 2460*u.\nAnswer: 5*u*(u - 2)*(u - 1)*(u + 246)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2856509 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 divided by 7?\nAnswer: 128\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 58.3 + -58. Suppose 3*j + 4*t - 26 = 5*j, -3*j - 2*t + 1 = 0. Let o be (0 + j\/63)*3. What is the nearest to 0 in 0.2, o, a?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -2*u**2 - u. Let x(j) = -j**2 - j. What is k(w) - 3*x(w)?\nAnswer: w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 52144371821 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ynynnppnnpppnnyn. What is prob of sequence yn?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3577 and 146.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 6*n + 10. Calculate the remainder when 56 is divided by z(2).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 0.3 (b) -0.02 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 (base 10) in base 4?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 18479 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**2. Let n(d) = 18*d + 18. Let z be n(6). Suppose 11*c = 2*c + z. Let t(x) = -232*x + 24*x**2 + c*x**2 + 232*x. Give f(t(p)).\nAnswer: 1444*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -5*j**3 - j**2 + j + 1. Give y(2).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 300*b + 3569 + 0 = -4531 for b.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 240, 210, 130, -24, -276, -650, -1170, -1860?\n\"Answer: -4*d**3 - d**2 + d + 244","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*d**2 + 15659917*d - 15659917*d.\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 146225 is divided by 339.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -5*r - 264, 121 + 283 = 4*m + 2*r. Solve -216 = m*n - 62*n for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:23 AM and 12:09 PM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 675642, 675521, 675400?\n\"Answer: -121*w + 675763","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/8 of a micrometer?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6570024 (base 9) to base 13.\nAnswer: 967882","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 885 divide 177618615?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:11 AM and 12:26 PM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**3 + 102*m**2 + 339*m + 20965. Determine g(107).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59841178.\nAnswer: 2, 157, 190577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1190\/2416 + 4*8\/(-64). Let a = -22963\/21744 - v. Find the common denominator of a and -57\/8.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -2610, -2\/21 in ascending order.\nAnswer: -2610, -2\/21, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 99*g**2 - 267*g**2 - 92*g**2.\nAnswer: -260*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**2 + 49*g - 1428. What is w(20)?\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -89, -151, -215, -281?\nAnswer: -349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-65 - -36) + -25 + -14.\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v*v**10*v)*v)\/v**18 assuming v is positive.\nAnswer: v**(-28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1304\/10 - (10\/25 - 0). Suppose -4*c = -c - 78. Calculate the highest common factor of c and j.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 97047?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -34.19 - -34. Let o = -0.18999901 - x. Round o to seven dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 7*o**2 - 1. Let g(r) = -r**2 - 13*r - 1. Let n be g(-13). What is u(n)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 23168, 7, 2, -2 in ascending order.\nAnswer: -2, 2, 7, 23168","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p\/p**(1\/24))\/((p*p\/p**13)\/p)*p**17\/p*p**(-4\/3)*p assuming p is positive.\nAnswer: p**(237\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 353\/2 or 176?\nAnswer: 176","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 83 and 35607?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d\/d**(1\/6))\/d*d**(3\/8)*d)**0\/((d**(2\/19)\/d**7)\/(d*d**(-7)*d*d*d*d**(1\/6))) assuming d is positive.\nAnswer: d**(463\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 14\/7 + 0\/(-2). Solve -b = g + 2 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 5*n + 20, 0*l - 3*l = -n - 4. Let u(g) be the second derivative of -g**2 + l - 3*g - 1\/6*g**3. What is the derivative of u(b) wrt b?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -48\/31 (b) -0.4 (c) -3\/76 (d) 0 (e) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (5\/(-5)*(-1 + 2))\/(23\/(-1748)). Solve 37*x = 146 + q for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 80090?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = o - 6353, -14074 = 5*o - 3*w - 45839. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzzz when four letters picked without replacement from zzzzz.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*a**4 - 13*a**4 + 8*a**4 + (-3*a + 5*a - a + (-3*a + 0*a + 5*a)*(0 - 4 + 2))*(0*a - 6*a - 22*a)*(-a**2 + 2*a**2 + a**2).\nAnswer: 166*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-83*z**2 + 146*z**2 - 319*z**2)*(6 - 1 - 4)*(0 + 0 - 2*z) as n*z + g + i*z**3 + q*z**2 and give i.\nAnswer: 512","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes after 8:24 AM?\nAnswer: 4:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from btgwxbx. Give prob of picking 1 b and 1 x.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 34.4, 1\/2, -386, -10 in ascending order.\nAnswer: -386, -10, 1\/2, 34.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*f**4 + 3*f**4 - f**4 - 375*f**3 + 18*f**4 + 375*f**3 + (0*f**3 + f**3 - 3*f**3)*(-3*f + 3*f + f) - 2*f + 2*f + f**4.\nAnswer: 19*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -5*m + 1. Let k be g(1). Let w be (k - -2) + (11 - 3). What is the highest common factor of 2 and w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**2 - 42*v + 82. Let i be n(40). What is the second derivative of 63*q - 2 + i*q**3 - 13*q - 86*q**5 + 72*q**5 wrt q?\nAnswer: -280*q**3 + 12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 33621.3 + -33621. Which is greater: -32.1 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**3 + 2*q**2 + 5*q - 4. Let p be j(3). Suppose -p*f = -f - 30. Is 10 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tyt. What is prob of sequence ty?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 338\/42 - 30275\/3633?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/(-16))\/((3\/1)\/12).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, w: 5, p: 7, u: 3}. Give prob of picking 2 w and 2 u.\nAnswer: 3\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 66215?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - 10 = -n, 3*n + 2*u - 64 = -85 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1291\/1658 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 12 = -0*i. Let h be 10 - (i + 3 + 4). Let k(s) = 8*s + 19. What are the prime factors of k(h)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j + 3500 = -2*j - 5*i, 2*i - 4408 = -5*j. Let z(t) = j - 880 - 2*t. Let f(s) = -4*s**2. Calculate z(f(u)).\nAnswer: 8*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 6781721.1 hours?\nAnswer: 40367.3875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from enttteetfeo. Give prob of sequence tne.\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (7 - 3)\/(0 + -2). Let n(t) = -2. Let m(w) = -w**2 - 9. Let s = -197 + 206. What is k*m(q) + s*n(q)?\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zpp when three letters picked without replacement from {z: 2, f: 2, p: 4, w: 1, t: 3}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 133\/3 - 44. Let s = v - -1\/6. Let r = 6 + -2. Sort -0.5, r, s in decreasing order.\nAnswer: r, s, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-50)\/(-30) + (-20)\/15. Let f = -2 + -1. Suppose 2*j = 5*j. Which is the closest to y? (a) -2 (b) j (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75088 to the power of 1\/2, to the nearest integer?\nAnswer: 274","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 45 - 30. Let t be (-3)\/w*-6*5. Suppose t*i - 75 = i. Does 9 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22051?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h**3\/3 - 11397*h**2 - 6426752*h\/3 - 4238916 = 0. What is h?\nAnswer: -34002, -187, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 14365519 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/6)\/((6\/268)\/((-162)\/(-216))).\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -143 + -2?\nAnswer: -145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 182 - 229.8. Let d = -48 - g. Let i = d - -0.6. What is the nearest to -0.03 in 5, i, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100 = 2*j - 6. Round j to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8 - -14 - 14\/2. Suppose 0 = -10*u + 15*u - d. Put u, -3, -5, 2 in increasing order.\nAnswer: -5, -3, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oooofoofof. What is prob of picking 3 o?\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1*3\/(-3)*-13*(-26)\/2535\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 5*b**3 + 3*b**2 - 2*b + 3. Let m(j) = -11*j**3 - 7*j**2 + 5*j - 7. Let l be (6\/3)\/((-2)\/(-5)). Let f = l + -12. Determine f*z(a) - 3*m(a).\nAnswer: -2*a**3 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 102391\/4 or 25599?\nAnswer: 102391\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 7002112 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -128391318.533+-3\nAnswer: -128391321.533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 - 47*k - 24 - 82*k + 26*k - 186*k.\nAnswer: -289*k - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -4*c, 4*c + c - 5*v - 10 = 0. Let w be (0 + 0)\/(4 + c). Find the first derivative of t + 3 - 7 + w*t wrt t.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 9*t. Determine k(-4).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**2 + 6*d + 3. Let t be n(-8). What is the second derivative of -r + 5*r**3 + 19 - t - 4*r wrt r?\nAnswer: 30*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the second derivative of 0*x**2 - 37 + 0*x**3 + 41\/4*x**4 - 3*x. Let l(b) = -3*b**2. Calculate h(l(w)).\nAnswer: 1107*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4658047 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -779, -791, -803, -809, -803, -779?\nAnswer: -731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -48\/17509 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 233*c**5 - c**2 - 11*c?\nAnswer: 13980*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u = -7 + 21. Let k be -1 - (u\/1 - 1). What is the units digit of 0\/k - (-5)\/((-10)\/(-62))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 33 + (-26 - 16 - -33) - -68.\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 374837\/16 + -23423. Calculate the common denominator of -9\/2276 and d.\nAnswer: 9104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 234700 to the nearest ten thousand.\nAnswer: 230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16614 and 485394?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 - 5 - (-2 + 13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 216\/14795 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13012 + 13588. What is the remainder when p is divided by 66?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-1*(-2*(sqrt(567) - (sqrt(567) - (sqrt(567) - (1 + sqrt(567)) - sqrt(567) - sqrt(567)))**2) + ((sqrt(567)*2 + sqrt(567))*-2)**2).\nAnswer: -30620 - 90*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35303 is divided by 139.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-58)\/174)\/((-5)\/(-9)) - 204258\/(-5)?\nAnswer: 3, 17, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and -1.09.\nAnswer: 0.218","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 21.2 + -291.1. Let a = r + 270. Which is smaller: -1\/2 or a?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (84\/24)\/(9\/(-12))*-3?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 5\/24 of a minute?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3.792421 tonnes?\nAnswer: 3792421000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5416038 grams in nanograms?\nAnswer: 541603800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(3\/13)*(r\/(r**(-2\/23)\/r))\/r assuming r is positive.\nAnswer: r**(394\/299)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**3 - 6*q**2 - 2*q + 12. Let l be y(5). What are the prime factors of (95*(-1 + 2))\/(l\/(-184))?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10110100100 + -101?\nAnswer: -10110101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2636221 is divided by 6005?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37346 is divided by 290?\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 3*a**2 - 41*a + 10. Is 148 a factor of z(-23)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(-11))**(-29) assuming y is positive.\nAnswer: y**(-348)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -55394 + 89716. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = 3*p + 3*v - 156, p - 42 = 4*v. Let t be ((-108)\/10)\/((-15)\/p). What is the greatest common divisor of t and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -99339, -199776, -300211, -400644?\nAnswer: -501075","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 669 + -668. Calculate the greatest common divisor of z and 103.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((sqrt(77)*-2 - sqrt(77)) + sqrt(77)))\/(-2*sqrt(44)\/sqrt(4)).\nAnswer: 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - -1. Suppose -4*k + 9 = 1. Suppose 0 = k*f - 2*m, f - 2*m - 4 = -3*m. Solve -7 = -f*y + 3*s, y - s = -l*y - 7 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 689 + -481. Suppose -4 = 6*z - d. What is the first derivative of z - 8*n - 42 - 11*n wrt n?\nAnswer: -19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4 + -3 + 1 - 2. Let f(d) = -56*d**2 + 287*d - 235. Let c be f(4). Solve 3*h - 8 + c = a for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*k = -246*k - 146*k + k - 12992 for k.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 0*g - g - 31 = 0, 2*j - 43 = -5*g. Suppose -15*h + 14*h = j. Let y = 34 - 34. Put -3, y, -4, h in decreasing order.\nAnswer: y, -3, -4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.3, -1, -8, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p**2 - 4*p**2 + 5*p**2)*((-3 + 6 - 1)*(-2 + 4 + 0) + 0 + 3 + 1).\nAnswer: 8*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**3 + 3*s**2 + 2*s + 2. Let q be p(4). Let i(z) = 14*z**2 - 13*z**2 + 98*z + 3 + 106*z - 196*z. Determine i(q).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q - 1 + 2 - 2*q + q. Determine v(-5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 7*o**4\/5 - 2379*o**3\/5 - 100918*o**2\/5 - 4164*o\/5 + 86184 = 0.\nAnswer: -38, -15\/7, 2, 378","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -121*c**2 - 1. Let z(n) = n**2. Determine z(i(m)).\nAnswer: 14641*m**4 + 242*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - c**2 + 0 + (18*c - 11*c + 7*c)*(-2 + 0 + 1)*(13*c - 5*c + 16*c).\nAnswer: -337*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -282 - -148. Let n = 154.6 + l. Let y = -20.017 + n. What is y rounded to two dps?\nAnswer: 0.58","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -73 - -198. Suppose -x + 5 = -3*w. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.31647 to two decimal places.\nAnswer: 0.32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, 18, -663, 5, 1, -6.\nAnswer: -663, -6, -3, 1, 4, 5, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 133267 divided by 9\nAnswer: 133267\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 1)*(56*m - 74*m + 61*m) + m + 0*m + 0*m.\nAnswer: 44*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 6, v: 12}. What is prob of sequence vv?\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -221*f = -9*y - 225*f + 80, -f = 2*y - 20 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7668 (base 13) in base 16?\nAnswer: 405f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 3*x + x + 4, 0 = -x - i + 9. Suppose 0*w + x*n + 8 = -4*w, -4*w - 2*n + 2 = 0. Let y be w*(-4)\/12*-5. What is y rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/(-135)*9*9)\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -463 + 9?\nAnswer: -458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -129, -480, -1057, -1854, -2865, -4084?\nAnswer: -5505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5876 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: Simplify ((-5 + ((sqrt(2205) - (1 + 1*sqrt(2205))) + sqrt(2205) - sqrt(2205) - sqrt(2205)))*-4)**2.\nAnswer: 4032*sqrt(5) + 35856","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mddbdbmmmdbd. Give prob of picking 2 b and 2 m.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from {o: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13 - -14. Let h be o - (2 - (2 - 3)). Let w = h + 4. Which is smaller: w or 3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -30513 and 4.\nAnswer: -30509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*s**4 - 1147*s**3 - 1095 wrt s.\nAnswer: -8*s**3 - 3441*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and -8.6?\nAnswer: -1.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*u - 46*u - 640 = 0. Is 13 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100*j = 23*j + 492 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**3 - 16*i**2 + 6*i - 8. Let a be z(16). Suppose -j = 4*o - a, 3*j - 4 - 113 = -5*o. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3051*v - 24 = 3063*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1016\/4445)\/(8\/714) + -20. Let o = -512\/15 - -34. Which is greater: o or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 190 and -12885.5456868?\nAnswer: 13075.5456868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 623 and 1589.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the second derivative of 3*d**2 + 0 - 3*d - 1\/20*d**5 + 0*d**3 + 0*d**4. What is the first derivative of a(x) wrt x?\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57505597 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 + (-18)\/(-5) - -4. Is h greater than 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jpoyypq. Give prob of sequence jyy.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 10537721 - -5?\nAnswer: 10537726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 4 + 34)*(-2*a + 9*a - a)*(-1 - 2 + 2)*(12 - 14 - 10).\nAnswer: 3240*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u - 1. Let n = -1 + 4. Let o be h(n). Suppose -5*j + o*j = -111. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4200*m + 4190*m + 4199*m - 25208*m + 4205*m + 4188*m + 4191*m.\nAnswer: -35*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -5*j**2 + j + 8. Let v be r(0). Let y(d) = d**3 - 5*d**2 - 22*d + 5. What is the remainder when ((-177)\/6 - -4)*-4 is divided by y(v)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the third derivative of 0*k - 2*k**2 + 0*k**3 - 1\/15*k**5 + 0 - 5\/24*k**4. What is the second derivative of l(r) wrt r?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -0*g + 1. Let i be 12\/(1 + 2) - g. Solve -4*l = -i*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.86 - -10.26. Let r = 9 - c. Let o = -13 + 8. Put 6\/7, o, r in descending order.\nAnswer: 6\/7, r, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**2 + 2307*b - 49302.\nAnswer: -3*(b - 747)*(b - 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 84.5 + 9.5. Let h = -94.00182 + d. Round h to 4 decimal places.\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0 (b) -0.5 (c) 2 (d) -2\/3 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 58 + -118. Let r = b + 94. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.04 - -2.353\nAnswer: 2.393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 600*v - 526*v = 237 - 1569 for v.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**2 - 19*z + 3. Let x be a(-19). Suppose 2*t - 2*j = 3*t - 12, 16 = t + x*j. Solve 0 + 12 = -f + 4*g, -t = f - 2*g for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10813 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*r - 2208 = -40*r - 27*r - 2216 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 147465.\nAnswer: 3, 5, 29, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 134505073 times 0.4\nAnswer: 53802029.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/928 and 115\/216?\nAnswer: 25056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3.32, -0.09, -7, 0.36, -5?\nAnswer: 3.32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 104579 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-20)\/(-25) - (-6)\/5. Suppose s*m - m - 94 = 0. What is the tens digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17031 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/88, -0.1, 62, 2\/3?\nAnswer: 62","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -36 and 38\/3*(-48)\/64.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 2*f**2 + 85*f - 1696. Determine l(-55).\nAnswer: -321","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/27 (b) 1\/2 (c) -1 (d) -0.3 (e) -67 (f) -0.05\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-48)*(-61 - 45103\/(-742)).\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5 and 125?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 121, 211, 317, 403, 433?\nAnswer: 371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/24 + 157\/6. Suppose 3*v = 5*v - l. What are the prime factors of v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2382720 and 127840?\nAnswer: 2720","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 18040.07 years in decades?\nAnswer: 1804.007","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5695119ug in milligrams?\nAnswer: 0.0005695119","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 2 s when four letters picked without replacement from {w: 2, s: 5, p: 8, z: 4}.\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 6, d: 12}. Give prob of sequence dd.\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5976372 divided by -2?\nAnswer: -2988186","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 + -2310040120?\nAnswer: -2310040114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - (3 - 3 - -10) - -3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13665 is divided by 571.\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.12 + -2. Let h = r + -0.06. Let w = h + 2.94. What is the second smallest value in -0.2, w, -1\/3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p + 3*p = -10. Let j be (-2 + -4)*(-790)\/3. Suppose -2*v - p*v = -j. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 62020 and 140.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(2\/5)*l**(8\/3)*l*l)**6)**(-38) assuming l is positive.\nAnswer: l**(-5776\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 10*v - 12*v. What is the lowest common multiple of 15 and v?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 232040239.\nAnswer: 5\/232040239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*t - 190 = -21*t. Let q = 45 + t. Let o(y) = 29*y**2 - 1. Let z be o(1). Calculate the highest common divisor of z and q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes before 10:23 AM?\nAnswer: 3:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/27*6*(-2442339)\/(-34). Let s be g\/(-90) - (-1)\/(-5). What is s rounded to the nearest 100?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*f + 70*f = 75740. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -228*g + 4. Let i(o) = 113*o - 2. Give -5*i(w) - 2*t(w).\nAnswer: -109*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 2*r = g + 18, -g = -4*r - 9. What is the least common multiple of g and 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -1 - (-18 + 15).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 divided by -445552?\nAnswer: -21\/445552","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 753680, 753693, 753706, 753719, 753732?\n\"Answer: 13*b + 753667","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -32 - 111 - 3*t + 85 to j + n*t and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15828, -15663, -47154?\nAnswer: -78645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/250988 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 27350 by 5470.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*y + 4*y - 4*t + 2996, y = -4*t + 1498. Let d = -4439\/3 + y. What is the common denominator of d and 45\/11?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10 by -1.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-306)\/24)\/((-1)\/4) is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a millennium in centuries?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 152716430 is divided by 1004?\nAnswer: 1002","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*h**4 - 6 + 2*h**2 - h**2 + 5*h + 4 - h in the form n*h**2 + r*h + x + p*h**3 + j*h**4 and give r.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -5*l + 1575 - 1575. Let g be (-2)\/(-9) + (-86)\/(-18). Let w(x) = 11*x + 2*x + g*x - 10*x. Give w(k(r)).\nAnswer: -40*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48506 = -3787*p + 15873 for p.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:04 AM and 1:07 PM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**3 - 18*h**2 + 19*h - 32. Let o be y(17). Solve 0 = -4*l + o*w - 12, -l - 2*l + 2*w - 10 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -3, 2, -0.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3\/13943 - -2105339\/250974. What is the common denominator of j and 13\/60?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -d - 7*d**2 - 16 + 17 - 9*d**2 as s*d + m + t*d**2 and give t.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of (-868)\/(-20) + 9\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jejejjjjjejjjejejej. Give prob of sequence ej.\nAnswer: 13\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express ((2 - 1 + 0)*(0*y + y - 3*y) + (-2 + 2 + 2)*(2 - 2 - y))*(-5 + 1 + 3)*(-347 - 275 - 149) in the form d + h*y and give h.\nAnswer: -3084","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/82 and 23\/94?\nAnswer: 3854","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 18229 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1024 - 608\/7*a**3 + 20\/7*a**4 - 784*a**2 - 12032\/7*a + 4\/7*a**5 = 0 for a.\nAnswer: -8, -2, -1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**3 - 18*h**2 + 34*h - 33. Calculate b(16).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 32*g**3 + 55*g**3 - 418*g**3 + (0*g + g - 3*g)*(g**2 + 5 - 5) - 4*g**3 + 2*g**3 + 0*g**3.\nAnswer: -335*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1174 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.73852 and -1990?\nAnswer: -1469.6548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*x + 1 - 1 + (19*x + 27*x + 34*x)*(0 - 2 + 4) - 2*x - x + 2*x - 3 + 3 + 2*x + x - 2 + 2 + (1 + 0 - 3)*(-4 - 2*x + 4).\nAnswer: 162*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -r - 43, -2*r + 8 + 36 = 5*s. Solve -4*c + s = -3*y, 4 = -4*y - 0*c + 3*c for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3692 divided by 923.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**2 + 3*a - 1. Let n(t) = -58*t**2 - 23*t. Calculate -4*m(w) - n(w).\nAnswer: 54*w**2 + 11*w + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 - 7da2?\nAnswer: -7d9c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -95876, -95877, -95878, -95879?\n\"Answer: -j - 95875","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_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: Let i(y) = -543*y**3 - 8*y**2 - 19*y - 5. Let s be i(-14). Let l = s + -888685. Round l to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = -5*z + 4*g, 4*g - 26 + 18 = 4*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from unn. What is prob of sequence nnu?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/477108 and -115\/583132.\nAnswer: 5248188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/6 or 69469461?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -283494201369 + 0.07\nAnswer: -283494201368.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five quarters of a millennium in decades?\nAnswer: 1125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -56*(1 - 13)\/12.\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a decade in months?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -130 + (4 - -2) - (21 - -5 - (-11 + 48))?\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -12*a + 32*a - 7 + a**2 - 15*a. Let n be l(-5). Let r = n - -10. Solve -h = -4*u - 17, 2*u + r*u + 25 = 2*h for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 4 = -o - 6, 5*h = 20. Suppose 0 = o*f - 49 - 11. What is the remainder when f is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 5 = 10. What are the prime factors of g?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2 - (-19)\/1674*176. Let v = -22615\/6696 - a. Let o = 2131 + -38227\/18. What is the common denominator of v and o?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4375 to the nearest one hundred.\nAnswer: 4400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 8*w**2 - 65*w - 77. What is s(9)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times -19294795?\nAnswer: 19294795","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a kilometer in meters?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 3*r - 16 = 3*z, -3*r - 20 = 5*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**2 + 8*w + 2. Let j be o(4). Let h(r) = r**3 - 5*r**2 - 5*r - 3. Let a be h(6). Solve 5*y + d = j, -3*y - y = -5*d + a for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes before 3:48 AM?\nAnswer: 1:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.08 in 0.4, 22, 4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 2*b = 252, -3*m - 179 = -6*m - b. Let g = 375 - m. What are the prime factors of g?\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1412, 2713, 3904, 4985, 5956, 6817, 7568?\nAnswer: 8209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and 4.274.\nAnswer: 8.548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -8*f - 188. Suppose 156 + 1521 = -39*d. Let x be c(d). Is 154 less than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 107 - 516 + 199 = 6*w for w.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**2. Let k(v) = -1. Let b = 9 - 14. Let h(q) = -2*q - 5. Let l(d) = b*k(d) + h(d). Determine z(l(s)).\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 + 10 = -14*b. Put 48, 4, b in descending order.\nAnswer: 48, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**2. Let u(t) = 550*t. Give u(j(w)).\nAnswer: 550*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.18 and 9.\nAnswer: -1.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -10346*c + 326. Let f be o(-19). What is f rounded to the nearest 10000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 219402?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 9, r: 3}. Give prob of picking 2 o and 1 r.\nAnswer: 27\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(672))\/sqrt(6) - (sqrt(84)\/(sqrt(24)\/sqrt(2)) + 3).\nAnswer: -9*sqrt(7) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -213202013 - 1?\nAnswer: -213202020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uddsfdussdduu. Give prob of picking 2 u.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together -25925 and 25.\nAnswer: -25900","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85 is divided by 16?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 120923188?\nAnswer: 2, 31, 975187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + 22 + -21 - (0 - 71 - (54 - 57)).\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*u**2\/5 - 80978*u - 6679596\/5 = 0. What is u?\nAnswer: -101206, -33\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13411 (base 7) to base 3.\nAnswer: 11222121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*d + d - 3*d)*(-1 + 1 - 2*d)*(-86*d + 149*d + 29*d).\nAnswer: -368*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 225 - 575 = 5*b, -3*d = -12. Let a = 92 - 16. Let x = a + b. Solve 0*k - 2*k = x for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/(-8) + (-185)\/130. Let h = 12\/13 + i. Let o(f) = 6*f**2 - 71*f - 9. Let c be o(12). Sort -3, h, c in decreasing order.\nAnswer: c, h, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1 (b) 1\/4 (c) -2 (d) -4 (e) -0.38\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.913 - -3.11. Let n = 0.19 - p. Let l = n + -0.059. Round l to 2 decimal places.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.51 and 1143?\nAnswer: 582.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13 + -4. Let d = c - -2. Calculate the remainder when d is divided by (0 + (-12)\/9)*-3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -234 times 4?\nAnswer: -936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:16 AM and 9:43 PM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -2715*o + 24760 - 24763 - 724*o as w*o + y and give w.\nAnswer: -3439","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 154 is divided by 59?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13944 + 13944. Factor -3\/7*j**3 - 9\/7*j + w - 12\/7*j**2.\nAnswer: -3*j*(j + 1)*(j + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h - 36. Suppose 37*i = 39*i + 24. Let d be f(i). What are the prime factors of (2 - -4)*(d\/(-9) + -1)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2\/5)\/(4\/20). Let b(q) = 2*q - 16 - 2*q**2 - 9*q**2 + 10*q**c + 9*q. What is the remainder when 25 is divided by b(6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one eighths of a litre?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -p + 44. Let x be (-3 - 0)\/(15415\/(-1100) - -14). What is the highest common divisor of x and p?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the first derivative of -289*c**5\/5 + 123*c**2\/2 - c - 22. What is the second derivative of l(t) wrt t?\nAnswer: -3468*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**3 + 7*p**2 - 6*p - 1. Let l be n(6). Let y be (-9 + 9)*l\/2. Solve -4*u + r = 3, -4*u + 4*r = -y*r + 12 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4018*g*j**2 - 6074*g*j - 68739640*j**2 wrt g?\nAnswer: 4018*j**2 - 6074*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 + ((-1932)\/(-1))\/(-3). Find the common denominator of 69\/4 and a\/144 + (-2)\/(-9).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*((-35)\/10 + 4))\/(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-753 + 394 - 1891)*(2*f + 3 - 1 + 0)*(-2 - 2*f + 2) + 4*f**2 - 3*f**2 - 3*f**2.\nAnswer: 8998*f**2 + 9000*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.631544 rounded to 1 decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the second derivative of o**4\/36 + 11*o**3\/9 + 121*o**2\/6 + o. Factor u(t).\nAnswer: (t + 11)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 2*y = -24, -5*y = -4*i - y + 20. Which is bigger: 5 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sd when two letters picked without replacement from {s: 1, m: 4, d: 2, b: 5, k: 2, t: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 + -6.4. What is the nearest to -2 in 4, -5, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -35491.58069 to the nearest one thousand.\nAnswer: -35000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:12 AM and 3:49 AM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + 2. Let l be (x + -2 + 3)\/(-2). Suppose l = -6*v + v + 50. What is the least common multiple of 6 and v?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**3 + 4*o**2 - 8*o.\nAnswer: 4*o*(o - 1)*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 167 a factor of (1678\/(-1))\/(810\/(-72) + 11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 158\/1341 + -1\/149. Let z = -172\/5 + 34. Let f = -24 - -49\/2. Which is the nearest to f? (a) m (b) 1 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10 or -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 v, 1 q, and 1 s when four letters picked without replacement from {s: 1, u: 2, d: 1, j: 1, q: 1, v: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2265 (base 11) to base 10\nAnswer: 2975","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*h**2 - 3*h**2 + 4446*h + 4 - 3 + 2.\nAnswer: h**2 + 4446*h + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(243) + sqrt(243) + 1 + sqrt(243) + 3 + sqrt(243) + 2)**2.\nAnswer: 432*sqrt(3) + 3924","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vx when two letters picked without replacement from {v: 2, w: 9, x: 4, a: 4}?\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 - -7)*2\/4. Let r be g + 0 + -1 - 11. What are the prime factors of (-2)\/(((-4)\/r)\/(-2))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from momqtqmmoaqmmm. Give prob of picking 1 m, 2 o, and 1 q.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1996\/171 + (-3 - 58\/(-18)) - 8642\/(-82099)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/83, 1, 1\/8?\nAnswer: 2\/83","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 12) in base 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -9791 - 3*r**2 + 10*r + 9802 + 7*r**2. Calculate k(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.03, 2, -1\/4, -3\/32, -0.4, 4.\nAnswer: -0.4, -1\/4, -3\/32, 0.03, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 8 + 0 - 5 + 2*w. Let k(i) = -i**3 + 5*i**2 - 4*i + 6. Let b be k(4). What is the remainder when 29 is divided by m(b)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:21 PM and 12:21 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*l + x + 17, 5*x - 3 = 4*x for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16, 22, 32, 46?\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 385219000 is divided by 379.\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14806 is divided by 59.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -306 at least as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100 (base 3) to base 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmxmxqqqccuuu. Give prob of picking 1 u and 1 c.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -12122211212 (base 3) in base 11?\nAnswer: -76796","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000693043952 rounded to seven decimal places?\nAnswer: 0.0000693","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 708 is divided by 95?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -326665 divided by -2233.\nAnswer: 326665\/2233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 10 + 8 = 0. What is the highest common factor of 13 and w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 17 = 21, -5*d - 3*m - 7 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the first derivative of -2*b**5\/35 - 36*b**4\/7 - 2732*b**3\/21 - 360*b**2 - 350*b + 3454. Suppose k(q) = 0. Calculate q.\nAnswer: -35, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -49 + 59. Solve -4*z = -6*z + w for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the first derivative of 4\/3*l**3 - 8 + l + 3\/2*l**2. Let u = -1 - 1. Determine d(u).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j**5\/3 + 12595*j**4\/3 - 38612086*j**3\/3 - 6632750078*j**2\/3 + 38612087*j\/3 + 6632737483\/3 = 0.\nAnswer: -163, -1, 1, 6379","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 271785 (base 16) to base 9.\nAnswer: 4734263","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 500296145 from -79.\nAnswer: -500296224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -13*x**2 + 3. Let z(p) = -14*p**2 + 2. What is -2*g(t) + 3*z(t)?\nAnswer: -16*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.07 + 3.07. Let c be (-6)\/(-10)*10\/(-4). Let g = 94 - 95. What is the nearest to h in c, g, -3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 472328018.\nAnswer: 2, 236164009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 71.69 rounded to zero dps?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:24 PM and 10:28 AM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 17 = 47. Let n(l) = 2*l + 1. Let s(r) = 4*r + 2. Calculate o*s(v) - 11*n(v).\nAnswer: 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 89041 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(125))*3.\nAnswer: 15 + 15*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/32 of a tonne?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1537, -12788, -43323, -102784, -200813?\n\"Answer: -1607*m**3 - 2*m + 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**3 - 3*x**2 + 69*x + 207. Let n be y(-3). Solve n = -5*d + p - 25, 6*p - 5 = -5*d + p for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 128 - 330 - 321 + 56 + p as r*p + d and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1303, -1288, -1273?\nAnswer: -1258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 298 + 3 + 144)*(5 + 2*n**2 - 5) - 4*n**2 + 0*n**2 + 3*n**2 in the form c*n**2 + x*n + v and give c.\nAnswer: 895","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4 and 100?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -r - 15. Let w = r + 7. Let l(j) = -j**2 + 4*j**w + 3*j**2 - 5*j**2. Let h(f) = f**2. Calculate h(l(a)).\nAnswer: a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 81 and 99?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -44259, -88272, -132297, -176340, -220407, -264504?\nAnswer: -308637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -21120 - -101310330?\nAnswer: 101223210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 144 or 0.3408?\nAnswer: 0.3408","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, 2\/3, 0.1, -0.38, -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 57.00356 micrometers in millimeters?\nAnswer: 0.05700356","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 34 - 30. Suppose -2 = 4*l - f - 33, -a*f + 20 = 2*l. Let h(b) = -b**2 + 5*b - 4. Calculate the least common multiple of l and h(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 28171?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 10502 to the power of 1\/2, to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 4*g - 2. Let s be c(3). Suppose 19*q = 14*q + s. Solve -2*l - q*l - 8 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the first derivative of -3*y**2 + 85. Let l = -369 - -364. Determine t(l).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + (sqrt(1900) - (sqrt(1900) + -3 + sqrt(1900))))*-1)**2 - ((-4 + sqrt(2299)*-3)*-2)**2.\nAnswer: -80912 - 1136*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the first derivative of -357*m + 302*m - 64*m**2 - 37 + 234 - 12*m**2. What is the derivative of w(v) wrt v?\nAnswer: -152","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 5 (b) 2\/13 (c) -0.2 (d) -27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 36812 + -36813. Let w(c) be the first derivative of c**5\/15 - c**4\/12 - c**3\/6 + c**2 - 2. Let j(n) be the second derivative of w(n). What is j(h)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*c + 12*c + 5*c + 0*c.\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 454231.5 millilitres to litres.\nAnswer: 454.2315","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -131*s + 193*s**2 - 322*s - 142*s**2 + 199*s**2.\nAnswer: 250*s**2 - 453*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -9*b - 10. What are the prime factors of u(-4)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 989\/3972 - -1\/993. Let m = 0.1 + 1.9. Which is greater: m or p?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 107 = -22*o + 19. Which is bigger: o or -59?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-12)\/(-32)*-2 + (-6705)\/36. Is -187 bigger than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64576.08g in micrograms?\nAnswer: 64576080000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*r + 18 = -13*r + q, -2*r = 17*q - 121 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 16113\/5 or -3099?\nAnswer: 16113\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q**(-1\/3))\/q)**(-5)*(q**(-2\/5))**(-4\/21))\/((q*q\/q**(4\/5)*q)\/(q\/(q\/((q**(-2\/11)*q)\/q))))**(-46) assuming q is positive.\nAnswer: q**(42853\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d**2\/2 + 71355556*d - 2545807686034568 = 0. Calculate d.\nAnswer: 71355556","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-12)\/16)\/((-3)\/12). Suppose 4 - v = w. What is the closest to 0 in w, 0.1, -2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 5) to base 6\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 686, 932, 1342, 1916, 2654, 3556, 4622?\nAnswer: 5852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 25*k**2 - 3*k + 7. Let j be u(-3). Let c = j + -157. Let d = c + -57. Is d a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -559621 divided by 9\nAnswer: -559621\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90 = 5*q - 5*i, -4*i - 94 = 2*q - 7*q. Calculate the greatest common factor of 22 and q.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/110 and -73\/44?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-957)\/44)\/((-27)\/5688).\nAnswer: 2, 29, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*j**3 - 9042 + 4522 + 4520 - 80*j**3 - 178*j**3.\nAnswer: -263*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001100101111010 - 100011110?\nAnswer: -1001101010011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4747*c**2 + c**3 + 1 - 15 + c**3 + 6 + 7.\nAnswer: 2*c**3 - 4747*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 6, 1, -3, 3, 427 in ascending order.\nAnswer: -4, -3, 1, 3, 6, 427","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.5 times -0.062?\nAnswer: 0.093","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*c + c + 4*c - 4*c to z*c + x and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32393725 + 363.9128.\nAnswer: 32394088.9128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + -42. Let s = n + 32. Let d = s - -13. Solve -d*p - 3*v + 24 = -6*v, -2*p + 3*v + 20 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 29 + 24 + 7*q**4 - 4*q**3 + 27 + 32 - 114 as z + w*q**3 + a*q + t*q**2 + r*q**4 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1278558, 2556954, 3835188, 5113260?\nAnswer: 6391170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/10, 17\/6, 5?\nAnswer: 17\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the third derivative of -1\/540*w**6 + 1\/27*w**3 + 1\/90*w**5 + 84*w**2 - 1\/36*w**4 + 0 + 0*w. Find j, given that o(j) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the second derivative of d**3\/6 + 2*d**2 + 3*d. Let t(x) be the second derivative of 9\/2*x**2 + 6*x + 1\/2*x**3 + 0. Give 9*h(f) - 4*t(f).\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**3 - 4*j**2 - 2*j + 5. Let v be f(3). Let x be (46\/(-115))\/(14\/v). What is the closest to x in -0.6, 0.3, 4\/3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 6, k: 4}. What is prob of sequence ktt?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the second derivative of 37\/6*c**3 + 0 + 35*c - 13\/6*c**4 + 0*c**2. What is the second derivative of s(q) wrt q?\nAnswer: -52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 6381160 = 12441496. Suppose j = 3*x - 80777389. Suppose -4*n + s = -4*s - 33200025, -x = -4*n + 3*s. Round n to the nearest one million.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12997?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - i + 4*s + 8 = 0, 0 = -i - 3*s + 9. What is the remainder when 27 is divided by i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2\/7)*j)**(-2\/105)*j**(-2\/3)*(j\/(j\/j**(3\/8)))\/j*(j**(-10)\/(j\/(j**(3\/8)\/j)))**(14\/3) assuming j is positive.\nAnswer: j**(-65333\/1176)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 + 495?\nAnswer: 492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, p: 2, s: 3, k: 1, f: 4}. Give prob of sequence fs.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 54882?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 - 6)*(3112 + 0*w + 3*w - 3125) + 6*w - 4*w - 3*w.\nAnswer: -22*w + 91","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 132 and 88?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 - 211001200011201?\nAnswer: -211001200011120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(57)\/(sqrt(12)\/sqrt(4)))**2 - (2 + 2 + sqrt(19)).\nAnswer: -sqrt(19) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11667 = -2439*l + 253128 for l.\nAnswer: 99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 8 (b) -57644 (c) -1\/2 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 139 + 141 - 280 - 8826*p.\nAnswer: -8826*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11295 + 11275 = -5*j. Put 3, j, -10, 47, 5 in descending order.\nAnswer: 47, 5, j, 3, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.99 - 205.99. Let j = -319 - f. Let w = j + 113.6. Which is the second biggest value? (a) -0.5 (b) w (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54 is divided by 21?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2551 = 14*d + 1271. Let r = 98 + d. Which is smaller: -174 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4*3)\/(-3) + 9*(-3)\/(-9). What is the highest common factor of 7861 and h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*z**2 - 3*z**2 + 0*z**2)*(-2*z - 35*z**2 + z + 37*z**2) as d + t*z + x*z**3 + s*z**4 + p*z**2 and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 19123140 divided by -956157\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4631699462 a multiple of 4698?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*f**2 - 20*f - 24.\nAnswer: 4*(f - 6)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 123102 (base 4) to base 7.\nAnswer: 5043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 84917.88g in micrograms?\nAnswer: 84917880000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 4275, 4288, 4323, 4392, 4507, 4680?\n\"Answer: 2*d**3 - d**2 + 2*d + 4272","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/1932522 and 35\/111.\nAnswer: 71503314","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 111 (base 2) to base 5\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 1) + 0 + (-1 - 1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - -2 - -8 - (10 - 1).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**3 + 4*i**2 + 6*i - 7. Let b be a(5). Let h = b + 5. Suppose 0 - 18 = -h*u. Is 3 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-1*(-5 + sqrt(272) + 2) - -4*(-4 + sqrt(272)*3*-4))**2.\nAnswer: 424*sqrt(17) + 764049","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o + 450 = 10*o. Calculate the remainder when 322 is divided by o.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 5*j - 4 = c, -2*j + 8 = 0. Suppose -c*n = 1 - 9. Suppose 6 = -n*z + 16. What are the prime factors of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -101*c + 2289. Calculate x(23).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3 + 2 - 4\/(-6). Let s = -1483 - -1477. What is the smallest value in c, -1\/4, -2, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6.4 - 6. Suppose 921*p - 916*p = 15. Which is the second smallest value? (a) s (b) p (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (58*((-6)\/(-48))\/(-1))\/(141\/(-564))?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 77 and 60.\nAnswer: 4620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 24349349?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -20575011*b**4 - 82364130.\nAnswer: -82300044*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(256) + sqrt(256)*-2)\/(sqrt(6)\/sqrt(3)*5) - (sqrt(2) - (sqrt(32) + 0)**2 - sqrt(14)\/(sqrt(35)\/sqrt(5))).\nAnswer: -8*sqrt(2)\/5 + 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -8*g + 4. Suppose -18587 = -3*l + 2821. Let y(c) = -2*c**2 - 7136 + l. Calculate d(y(t)).\nAnswer: 16*t**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*y + 12*y = -1435 + 1305 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -5*h**2 - 8*h + 3. Suppose 0*a - 2*i = -5*a + 7, 4*a = 3*i. Let f = 2 - a. Let k(m) = m**2. Let t(v) = f*w(v) - 4*k(v). Calculate t(-8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 261 and 135053?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.1 + -3.9. Let t = -3397\/3 + 1133. Let y = -9 + 8.8. What is the third smallest value in y, t, h, -2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 5*b**2 - 5*b - 227. Let a be f(-7). Solve -10*z - 17 - a = 0 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10413 * 0.2.\nAnswer: 2082.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - 50 - 2. Suppose -4*f = -2*f + w - h, 0 = -2*f - 2*w + 26. Let i = -599 - -635. Calculate the remainder when i is divided by f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express n - 22 - 11*n**2 + 22 in the form u + i*n + d*n**2 and give d.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3096464221 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -5*k**3 - 4*k**2 + 1. Let p(g) = -4*g**3 - 3*g**2. Let v = -266 + 269. Give v*p(a) - 2*t(a).\nAnswer: -2*a**3 - a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2112 - 21101?\nAnswer: -23213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*y - 2*y + 3*y)*(84*y + 34*y + 30*y)*(1 - 1 + y) + (-2 + 4 + 2)*(-y**2 + y**3 + y**2) to d + v*y**3 + a*y**2 + t*y and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 + 14. Let w = 12395\/7 - 1767. Which is greater: w or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*g**3 - 6*g**2 - 3*g**3 + 5*g**2 + (-3*g - g + 6*g)*(-5*g**2 - 11 + 11) + 6*g**3 + 8*g**3 - 6*g**3 to the form m*g**2 + p + x*g + i*g**3 and give i.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(600\/(-205)) - ((-88)\/(-4620) - 2\/7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -35, -15, 27, 97, 201?\nAnswer: 345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 26186 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes after 8:51 PM?\nAnswer: 3:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1987577 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -500, -1003, -1504, -2003, -2500, -2995, -3488?\nAnswer: -3979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*b**3 + 0*b**3 - 7*b**2 - 7*b**2 + (3*b - b + 0*b)*(210 - 2*b**2 - 210).\nAnswer: -2*b**3 - 14*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the third derivative of -v**5\/120 - 7*v**4\/12 + v**3\/3 - v**2. Let x(a) be the first derivative of i(a). Determine x(0).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 + 1\/1)\/(-1 + -1). Suppose -6*m - 60 = -12*m. Solve m*t - 25 - 15 = n for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {w: 3, f: 10, j: 2}?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(20)\/(sqrt(40)\/(sqrt(10) + -3*sqrt(10))) - ((sqrt(45) + -3)*-1)**2).\nAnswer: -53 + 16*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((84\/16)\/7)\/(1\/4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*t**3 - t + 17 wrt t.\nAnswer: 12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -63970, -23571, 16838, 57263, 97710, 138185, 178694, 219243?\n\"Answer: o**3 - o**2 + 40395*o - 104365","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2048 and 8?\nAnswer: 2048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uw when two letters picked without replacement from {u: 2, d: 3, o: 1, w: 3, m: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 7 (b) 5 (c) 0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.5 from -93138958.49731.\nAnswer: -93138958.99731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand k**2 - k**2 - k**4 + (0*k**3 - 2*k**3 + 0*k**3)*(7*k - 2*k - 4*k).\nAnswer: -3*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*j + 486 = 28*j for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 3 = -3*q - 3*f, 2*q - 4*f - 4 = 0. Suppose -5*y = -q*y - 100. Suppose -y = -4*g + 12. Which is the third smallest value? (a) -1\/4 (b) 5 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1228257 and 454910.\nAnswer: 12282570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2294*b*s + 8544*b wrt s.\nAnswer: 2294*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1567 - -14?\nAnswer: 1582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -u - 2*u - 359, u = 5*t - 363. List the prime factors of t.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -360*a - 25209. Calculate r(-70).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**3 - 6*j**2 + 4*j - 11. Let h = -585 + 630. What is the least common multiple of k(-7) and h?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -4*r**2 + 8*r - 3. Let d(a) = 4*a**2 - 7*a + 2. Let s(l) = -5*d(l) - 4*o(l). Let x be s(-2). What is the tens digit of ((-12)\/8)\/(3\/x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 192815 is divided by 192703.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 16182792409 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3887.7 and 40.\nAnswer: 155508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3760670?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 252767941 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 309? (a) 0.3 (b) -1.4 (c) -1 (d) -0.1 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 6*k**2 - 9*k + 15. Calculate j(2).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 2*s - 5 = 0, -5*p - s = -0*p - 8. Solve -3 = -2*h - p for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:44 PM and 12:47 AM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 1 + 4 = 0. Let t be -20 - -27 - 40\/((-25)\/(-5)). Sort 0, t, 4, p in decreasing order.\nAnswer: 4, p, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 28425?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the third derivative of 0*y**4 + 0*y + 1\/20*y**6 + 1\/20*y**5 + 1\/70*y**7 - 7*y**2 + 0*y**3 + 0. Factor j(m).\nAnswer: 3*m**2*(m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19 + (-44 + 20 - (-8 + -5))\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4560986 and 158?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**2 - 16*r + 3. Let b = 5379 + -5371. Calculate g(b).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/2*(-22)\/11. Differentiate -4*i**2 - 4 + 4 + k wrt i.\nAnswer: -8*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes before 4:32 AM?\nAnswer: 6:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**2 + 10*k + 16. Suppose -5*q = -5*j - 50, -j + 18 = -5*q + 40. What is p(j)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 20110*y**4 - 30*y**3 + 7153547.\nAnswer: 80440*y**3 - 90*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*z = -7*z - 2913. Suppose -11*t + z - 333 = 0. What is the greatest common factor of t and 145?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -6*h**2 + 2*h + 3. Let k(g) = -g**2 + 2*g - 2. Let c(j) = j**2 - 1. Let s(i) = -4*c(i) + k(i). Determine 3*r(d) - 4*s(d).\nAnswer: 2*d**2 - 2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*p + 55*p - 57*p = -210. Is 21.8 at most p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_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: Is 35 a factor of 216957230?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/4 + 18\/24. Let s = 0 + -1. Which is bigger: s or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -281, -541, -801, -1061, -1321?\nAnswer: -1581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 103971?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.2 + -0.8. Sort 0.5, m, 1 in ascending order.\nAnswer: m, 0.5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n**3 - 1502*n**2 - 281248*n + 282752 = 0 for n.\nAnswer: -376, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p - 6 = -9*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -667466 divided by -467.\nAnswer: 667466\/467","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**3 + 6*i**2 + i - 6. Let x be u(6). Determine c so that x*c**2 + 6*c - 4 + 7 + 3*c**2 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 283 and 53.\nAnswer: 14999","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**2 + 9*h. Let r be i(10). Let j(q) = 2*q. Determine j(r).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*f - 7*f - 3 + 15*f + 7*f + f**4 - 4*f in the form o*f**4 + p*f**3 + g*f + y + n*f**2 and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -34270 (base 10) in base 13?\nAnswer: -127a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, -0.08, -0.6 in decreasing order.\nAnswer: 2, -0.08, -0.6, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -8 divided by -9800848\nAnswer: 1\/1225106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -181, -1930, -3677, -5422, -7165, -8906?\n\"Answer: b**2 - 1752*b + 1570","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 3074.815628 to the nearest one hundred.\nAnswer: 3100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -388*f + 24*f**2 - 407*f - 28*f**2 + 544*f as s*f**2 + c + w*f and give w.\nAnswer: -251","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 99 (base 11) to base 12\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -825*a + 1061?\nAnswer: -825","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23 - 1 - 10*l**2 + 8 + 5*l**3.\nAnswer: 5*l**3 - 10*l**2 + 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**2 - 1. Let p(d) = -d + 1 - 21*d**2 - 4 + 23*d**2. Let v(x) = 3*j(x) - p(x). Factor v(b).\nAnswer: b*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 534 + -529.01. Let j = -6.99 + o. What is the nearest to -3 in -0.4, 0.2, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*-32465\nAnswer: -97395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from {l: 1, r: 3}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 59545.4 tonnes?\nAnswer: 59545400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 97\/26 at least 22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-530)\/4)\/(-5) + (-767)\/(-26) + -30.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 3 = -b, 3*b - 9 = 3*i - 2*i. Solve 4*y**b - 4*y**4 - y**2 - 2*y**3 + 3*y**4 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - -3. Suppose 0*s - 2*s = -6. What is the third derivative of 3*b**m + s*b**4 - 3*b**4 - b**6 wrt b?\nAnswer: -120*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 27 + 95993?\nAnswer: 95a0a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 76 + -3. Is 4 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = 3, 2*r - 11 = -4*a + 5*r. Solve 0 = h - a*h + 5, -4*h + 16 = -d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -8 + 13 + -10?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -38*f**2 - 2*f + 1. Let a be p(1). Let g = 4 + a. Does 10 divide (2 - 28\/10)*g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 50*n + 49*n + 31 + 53*n - 154*n. What is p(15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*l + 25*l**2 + l + 6*l + l**3 + 5*l to m + q*l**3 + o*l + w*l**2 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 318*o**2 - 318*o**2 - 24*o - 45 - 2*o**3 wrt o?\nAnswer: -6*o**2 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4.3 - 3.3. What is the fourth biggest value in 1\/9, q, -5, -0.5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 18 (b) -0.3976 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.08 + 0.03717061?\nAnswer: -0.04282939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the second derivative of 2*c**3 - c**2\/2 - c. Is f(2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -46*s**2 - 38*s + 9568.\nAnswer: -92*s - 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is four thirds of a week in hours?\nAnswer: 224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1935 and 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.073777615 less than 5?\nAnswer: 5.073777615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*r - 4*r + 3*r**2)*(0*r + 17 - 34 + 4*r) to x + t*r**3 + v*r**2 + f*r and give v.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-315)\/15 + (-471)\/(-15))\/(2\/5)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 4, x: 2, i: 2, n: 2, o: 4}. What is prob of picking 1 n, 1 x, 1 i, and 1 o?\nAnswer: 32\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 38 = -12. Let q(o) = -o**3 + 12*o**2 - 23*o + 22. Let h be q(8). Let n = s + h. What is the remainder when n is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -2*h**3 + 53*h**2 - 315*h + 17. Calculate the remainder when 3652 is divided by b(9).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 102867710?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 3*p**4\/4 - 1041*p**3\/4 + 258*p**2 + 519*p = 0.\nAnswer: -1, 0, 2, 346","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 11, 14, 9, -4, -25?\n\"Answer: -4*i**2 + 15*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21002?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**2 + 12*o + 13. Let j be f(-11). Solve -j*v = 2 - 10 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-18\/5)*n)\/n**(-35))**16 assuming n is positive.\nAnswer: n**(2592\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 20, -1\/7, -0.27, 0.2, 0.1 in increasing order.\nAnswer: -0.27, -1\/7, 0, 0.1, 0.2, 20","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 162478.\nAnswer: 2, 81239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -0*g, g = 3*t. Suppose -2*f - x - 15 = t, 5*x = x - 12. Is (-33)\/(-6) + (-9)\/f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*u + 3*u - 8*u - 367.\nAnswer: u - 367","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the third derivative of 2*o**7\/105 + 5*o**6\/24 - 47*o**3\/6 - 3*o**2 - 30. What is the first derivative of c(h) wrt h?\nAnswer: 16*h**3 + 75*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -22 - -71. Suppose -5*o + 169 = k. Suppose -2*c = -6*c + 12. Calculate the highest common factor of o and c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/(-26) - (-13)\/(77571\/(-1984)). Let p = -8\/27 - o. Which is the third smallest value? (a) -1 (b) 3 (c) p (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 4*f**3 + 80*f**2 + 55*f + 111. What is k(-19)?\nAnswer: 510","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 241526 and 0.1?\nAnswer: 24152.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 3 (b) 0.3 (c) -2\/33 (d) -8\/25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 177504 and 152.\nAnswer: 3372576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 52\/7*q**3 - 68\/7*q**2 - 10\/7 + 2\/7*q**5 + 6*q - 18\/7*q**4 = 0.\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105631 = -20*c - 22231. List the prime factors of c.\nAnswer: 2, 3, 5, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(1 + sqrt(1216) + -2) + -3*sqrt(1216)*3 + -1)**2.\nAnswer: -384*sqrt(19) + 175108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:57 PM and 8:13 PM?\nAnswer: 256","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Is 47614 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 83*h**4 - 8*h + 9*h + 18*h**2 - 6*h**2 + 0 to the form f*h**2 + j + t*h + o*h**4 + u*h**3 and give f.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 506 + 523 = 5*x, -14 = 2*i for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 634624002.\nAnswer: 2, 3, 31, 797, 1427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 996 a factor of 4083266852?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 6, q: 2}. What is prob of picking 3 h and 1 q?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -59088.976 and -5.\nAnswer: 295444.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 3 = p + 3*o, 5*o = -2*p + 5. Suppose 4*s + 4*m = -p*s - 20, -10 = 5*s + 2*m. Solve s - 2*b - 1 - b**2 + 0 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, 5, 0 in ascending order.\nAnswer: -5, 0, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -100, -187, -270, -349, -424, -495?\n\"Answer: 2*v**2 - 93*v - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 5*r**3 + 26*r**2 + 12*r + 222. Determine v(-10).\nAnswer: -2298","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*l = -67388 - 15292. Let x = l + 2045. Is 47 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -514, -288, -62?\nAnswer: 164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2231 + 3?\nAnswer: -222d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000002742 rounded to seven decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15937 + 15940. Let u(o) be the third derivative of 10*o**2 + 0*o + 0*o**5 + 0 + 1\/18*o**6 - 40\/9*o**w + 1\/126*o**7 - 10\/9*o**4. Factor u(m).\nAnswer: 5*(m - 2)*(m + 2)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**3 - 5*t**2 - 7*t + 9. Let b be k(6). Suppose -2*s + b*s = 1. Let m(v) = 37*v**2. Is m(s) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 383\/2 (b) -4 (c) 1 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0071006 to four dps.\nAnswer: 0.0071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 161 + -161. Solve -3*s - s = b, 0 = -h + 4*s - 1 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1024505?\nAnswer: 5, 17, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a century in months?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 3*l + 8691 = 0, 5*l - 3*l = -4*s - 34804. Let i = 2\/813 + 86903\/35772. Calculate the common denominator of s\/(-1512) - (-2)\/7 and i.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-8))**(-4)*(s*s**0\/s)\/(s*s**34) assuming s is positive.\nAnswer: s**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**2 + 23*j + 75582 - 76261 - 23*j. Let h(p) = 2*p. Determine u(h(t)).\nAnswer: -4*t**2 - 679","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -2*g + 7 + 89, 5*h = g - 34. Let v = g - 27. Suppose 0 = 5*k + 4*c - 29 - v, c = k - 4. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 54 - 29. Let x be 3*4*6\/24. Let j = o + x. Calculate the remainder when j is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29579270 divided by -10?\nAnswer: 2957927","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -16, -2\/11, 17?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -a**3\/4 + 13*a**2\/2 - 129*a\/4 + 45 = 0.\nAnswer: 3, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -234*b - 7488. Calculate u(-32).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:23 AM and 8:54 AM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 - (-3 - (-1 - -1)). Solve u + s = 2 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 2255*d**2 - 8*d - 2. Let t(x) = 3383*x**2 - 12*x - 3. Give -10*c(u) + 7*t(u).\nAnswer: 1131*u**2 - 4*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 1171700 to the nearest one hundred thousand.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 3 l when four letters picked without replacement from {p: 9, l: 7}?\nAnswer: 9\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 3*v**2 + 29*v - 591. What is z(-33)?\nAnswer: 1719","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12399903 a multiple of 586?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 0.4 (b) -0.4 (c) 3\/7 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -580 divided by -5.\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ahataaohaao. Give prob of sequence hhaa.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - (-1 - -7)) + (-3 - -1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1780506 divided by -1087?\nAnswer: 1638","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -201*t - 198*t = -396*t - 27 for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*u + 28 = 37*u. Let w(m) = -m + 10. What is w(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/121 > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 - 7. Suppose 5*m - 12 = d*m. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (25 - 1)*666\/(-999)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/(-6) - 2\/6. Let y(i) = 34*i + 5. Let b(q) = -34*q - 7. Let m(w) = -3*b(w) - 4*y(w). What is the units digit of m(z)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.02 and 65231.\nAnswer: 1304.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1358 + -12166\/9. Let h = 1 - 2. What is the common denominator of 51\/(-44) - h\/4 and z?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:19 AM and 3:03 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -333*a**2 - 2991*a + 54 = 0. What is a?\nAnswer: -9, 2\/111","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -4*z**2 + 29*z - 26. Let l be h(6). Solve l*i + 2*i + 24 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*a + 7*a + 3*a - 9*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 152281220?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(-2))\/q)**(1\/71)\/((q*q*q**0)\/q)**(2\/125) assuming q is positive.\nAnswer: q**(-392\/8875)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 10406157067 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/24 - (-665)\/399.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*c**3 - 5010 + 5010.\nAnswer: -4*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 36064 and 4508.\nAnswer: 36064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 divided by -1704.\nAnswer: 7\/1704","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 24*108\nAnswer: 2592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59100 = -593*r + 7890*r + 15318 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -91036, -91029, -91018, -91003, -90984, -90961?\nAnswer: -90934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 c, and 1 j when three letters picked without replacement from {l: 1, d: 1, j: 1, q: 1, c: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the second derivative of -d**5\/40 + d**4\/6 + 11*d**3\/12 + 3*d**2\/2 - 40*d. Find g, given that t(g) = 0.\nAnswer: -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - z - 149 = -154, 5*q + 3*z + 9 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 - -11. Suppose -3 + 2 = -m. Sort -2, m, u in increasing order.\nAnswer: -2, m, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, -0.5, 0.3, 4\/3, 3 in descending order.\nAnswer: 15, 3, 4\/3, 0.3, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5 - -4.934.\nAnswer: 4.434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/24)\/(20\/(-80))?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 15\/(-6)*4\/(-5). Suppose -x - 39 = -f*x. Let c = x + -5. Is 11 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.391003 and -0.4.\nAnswer: -0.1564012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -172 - -175. List the prime factors of k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, f: 1, b: 1, a: 1, c: 1}. What is prob of sequence ac?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -2*z**2 - 4*z + 9. Let s be b(-6). Let n = 45 + s. Is 4 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00661212888 rounded to five decimal places?\nAnswer: -0.00661","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5144*z + 5158*z + 5146*z + 5146*z - 20583*z.\nAnswer: 11*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5081836?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 236086, 236090, 236094?\nAnswer: 236098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -14 in 0.5, 2, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 2*z + 4 = 14, -3 = -3*z. Sort 5, t, -1 in ascending order.\nAnswer: t, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the first derivative of -8*h**2 + 5*h - 6. Find the first derivative of k(s) wrt s.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 39*q**5*r - 310562*q**4*r + 5*q**2*r - 3*q**2 - q*r + 52*q - 9*r - 303 wrt q?\nAnswer: 2340*q**2*r - 7453488*q*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 47321199*c - 274343095?\nAnswer: 47321199","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the second derivative of 3*p**5\/10 + p**4\/12 - 133*p**2 + 43*p - 2. What is the first derivative of r(h) wrt h?\nAnswer: 18*h**2 + 2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 210 and 2590?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -39372 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.03, 22, -5 in ascending order.\nAnswer: -5, -0.03, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3 + (-1110)\/378)\/(2376\/(-243) - -10). Let m be 0 + (0 - 2\/(-8)). What is the second biggest value in t, -4, -2, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 6\/(-12))*1\/5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/(-1)*32\/6. Suppose -15*y - 5 = -s*y. Suppose -p = p + 4*a, p = y*a. Solve -5*c = -3*z - p*z - 6, 21 = 5*z + 2*c for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26 * 0.179\nAnswer: -4.654","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16903627?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.8181 (b) 0.3 (c) -5 (d) 1\/2 (e) 543\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -669.9 + 524. Let p = i + 146. Sort 0.3, p, -1, -3\/7 in ascending order.\nAnswer: -1, -3\/7, p, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -191*x + 98*x + 29 = -97*x - 3*l, x + 5*l + 20 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10826000 rounded to the nearest 1000000?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, -1, 67, -9909 in increasing order.\nAnswer: -9909, -5, -3, -1, 67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k = -2*k + 5*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11 - (4 - 4)) + -14 + (-11 - 1)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7, -10, -11, -10, -7, -2, 5?\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -a + 12 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.61513 - 0.41513. Let m be (-10)\/(-36) - 1\/2. Which is the nearest to m? (a) -5 (b) x (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**2 - 2*u - 229. Let p(g) = 4*g**2 + 9*g + 923. Let b(i) = -18*f(i) - 4*p(i). Let s(z) = -4*z**2. What is s(b(c))?\nAnswer: -16*c**4 - 6880*c**2 - 739600","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3, 25, 71, 153, 283, 473, 735?\nAnswer: 1081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**3 - 2*s**2 - s + 43. What is the remainder when b(0) is divided by 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 72 + -28458?\nAnswer: -28376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -139\/572820 and 83\/4.\nAnswer: 572820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -2*h**2. Let v(y) = -354*y**2 + 11*y - 4. Let s(t) = -99*t**2 + 3*t - 1. Let q(w) = 11*s(w) - 3*v(w). Calculate q(j(g)).\nAnswer: -108*g**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7*(-7)\/(-49)*5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -66*r + 5. Is z(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 87234904 and 6920?\nAnswer: 1384","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d + 21. Let q be (34\/(-4))\/((-5)\/10). Let k be i(q). Let n be k*(3 + 0 + -2). Calculate the highest common factor of n and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddaq when four letters picked without replacement from ppadxpqpd.\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of (18 + -19)*166\/(-1 + -1)*23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the third derivative of 0*o**3 + 0*o**6 + 0*o**4 + 0*o + 0 + 0*o**7 + 1\/5*o**5 - 139\/336*o**8 + 14*o**2. What is the third derivative of j(b) wrt b?\nAnswer: -8340*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -7 - 7*k + 3 - k**2 + 4*k**2 + 0*k**2 - 2*k**2. Give y(6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 13*b + 25. Give i(2).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, e: 2, x: 4, j: 2, l: 4, o: 1}. Give prob of sequence xj.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*x + 35*x + 7*x - 9*x.\nAnswer: 56*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (9\/3 - 31) + 2. Let b = d + 36. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28\/(-10) - (-815856)\/576420.\nAnswer: -18\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -411*g**2 + 28*g - 147. Let v be w(7). What is v rounded to the nearest 1000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2760708395 - -4.\nAnswer: -2760708391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3349713 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 570, 572, 574, 576, 578?\nAnswer: 580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -16487 from -24.504.\nAnswer: 16462.496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + sqrt(700)*-2 + 2 + (-1 + sqrt(700) + 2 + sqrt(700) - (sqrt(700) + 0 + sqrt(700))*5))*-2)**2.\nAnswer: 1600*sqrt(7) + 280016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -119*j + 103*j - 87*j - 198*j.\nAnswer: -301*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5)\/((-2)\/16 + 0) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 3*p**2. Let b(g) = -2*g**2 + 107. Give i(b(o)).\nAnswer: 12*o**4 - 1284*o**2 + 34347","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - -7679696?\nAnswer: 7679697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-4))\/(-5 + 6)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92647 is divided by 13234.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 - 522?\nAnswer: -523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a microgram in nanograms?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8 or 222\/25?\nAnswer: 222\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 14 = 5*r, 0*r + 4 = -2*r + 2*u. Solve -5*c - 4 - r = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((0 + 3 - 1)*(-1 - 4 + 3) - 14 + 0 + 1)*(0*r - r + 0*r) + 5*r + 0*r - 2*r in the form i*r + a and give i.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**28\/l*l**(-23\/2)\/l assuming l is positive.\nAnswer: l**(29\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 737*m + 20. What is the tens digit of i(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -6*r + 67. Let u be q(11). Let k(h) = 2*h**2 - 20*h - 1. Let g be k(10). Put -3, 4, u, g in increasing order.\nAnswer: -3, g, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/12 + (-305)\/(-20). Suppose j*k = 11*k + 568. Let c = -23 + k. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, i: 7, l: 3, u: 2}. Give prob of picking 3 l.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s + 9 = m - 3*s, 0 = -5*s + 5. Which is the third smallest value? (a) m (b) -2\/7 (c) 3 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1046287 to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = l - 12. Let s(t) be the second derivative of 0 + 2*t + 0*t**l - 1\/18*t**3 + 1\/9*t**4 + 1\/45*t**6 - 1\/12*t**5. Determine g, given that s(g) = 0.\nAnswer: 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 - 3.75. Let g = 2.1463 + -1.886. Let a = p - g. Round a to 3 decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1385 (base 15) to base 14\nAnswer: 1743","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*k + 18*k = 2836. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 14\/(5 - 6\/2). Suppose -3*s + t*s = 8. Is 2 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11613.\nAnswer: 3, 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6 + -6 - (-1 + 4). Let s be 0*x\/(-18)*3. Do s and 8\/7 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 250 divide 140139?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6928515 and 495.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k - 3. Let q(y) = -y + 1. Suppose 9*l = -90 + 135. Suppose -5*g = 5*d + 5, 8 = 2*d - 5*g - 4. Give d*n(s) + l*q(s).\nAnswer: -4*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 9 - 5. Suppose 9*d - 50 = b*d. Calculate the smallest common multiple of 2 and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/77 and -101\/374?\nAnswer: 2618","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dkkkmdkdddkdmd. Give prob of sequence dkmk.\nAnswer: 5\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**4 - 6*l**3 + 24*l**2 + 40*l - 96.\nAnswer: -2*(l - 2)**2*(l + 3)*(l + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*n - 1650 + 1586 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 2*o + 30 = 0, 2*v - 55*o - 66 = -58*o. Which is the nearest to 0.06? (a) 4 (b) -7 (c) -0.4 (d) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 17 = -11. Let v(a) = -a**3 + 7*a**2 + 2. Calculate v(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 5*v - 51 = -1215, 3*c = v + 1763. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1306976.\nAnswer: 2, 11, 47, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*k + 8*k + k + 0*k.\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llsslllsssslssgll. What is prob of sequence gsll?\nAnswer: 2\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**3 + 10*u**2 + 9*u + 16. Let k be 3\/(12\/55)*(-5 + 1). Let w = k - -32. Let r = -12 - w. Calculate i(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 281*l + 275*l - 904*l - 57*l**2 + 421*l**2 wrt l.\nAnswer: 728","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 837646931.\nAnswer: 11, 67, 823, 1381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 895266 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1100) + 5)*3.\nAnswer: 15 + 30*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -397 (base 10) to base 13.\nAnswer: -247","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 3*r**2 - 216*r + 1005 = 0?\nAnswer: 5, 67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 - (-14 + 3) - (37 - 29)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/6 - (-295)\/15. Is 4\/(-10) - (-3708)\/g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9504, 9739, 9974, 10209, 10444, 10679?\nAnswer: 10914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10060 + 10065. What is the closest to 0.2 in -1\/7, 0.5, 0.08, w?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/2, -1\/4, -0.2, 2, 863?\nAnswer: 863","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 65 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -490*h + 23. Suppose -3 = -v + w, 0*w - w - 2 = 0. Let q be (v - 0) + -3 - 3. Is l(q) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 104395, 208790, 313185, 417580?\n\"Answer: 104395*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from yyhdyhyyyyyyyy.\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -482.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30\/(-4))\/(-20*(-12)\/(-288))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 7*o**2 - 3*o. Suppose 0 = -13*f + 9*f - 4. Let p(i) = i**2 + i. Let g(b) = f*d(b) + 2*p(b). Find the second derivative of g(z) wrt z.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 6*a**2 + 17*a - 1. Let r be i(-3). Suppose r*l - 10 = -2*q, 3*q - 9 = -5*l + 16. Round q to one decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -207\/5 greater than 448433?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**2 + 3. Let t be s(0). Suppose 2 = -2*m - 8, -t*b - 5*m - 10 = 0. Sort 2, -0.1, b.\nAnswer: -0.1, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2806)\/(-11) - 17\/187.\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 325843.05943 take away 0.3?\nAnswer: 325842.75943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 + -43?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/2 and -89\/142.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1222651 a multiple of 312?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -57\/172 and 95\/498?\nAnswer: 42828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -133202 (base 4) in base 16?\nAnswer: -7e2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 8, k: 2}. Give prob of sequence pk.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kuj when three letters picked without replacement from kuuhuikiuviivivjhui.\nAnswer: 5\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (15 - 0)*4\/12. Suppose -i = -y + 3. Let g = -3 + y. Solve g*w = -0*w - 15 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(1*sqrt(175) + (sqrt(63)\/(-2*sqrt(9)))**2 + -5*sqrt(112)*-4)*-3.\nAnswer: 63\/4 + 765*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of -b**2\/2 + 11*b - 4. Let c be a(9). Is c bigger than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12 in -23, -1\/85, 0.21, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the third derivative of -25*h**8\/672 + h**7\/6 - 19*h**6\/240 - 31*h**5\/60 + 11*h**4\/12 - 2*h**3\/3 + 48*h**2. Determine t, given that q(t) = 0.\nAnswer: -1, 2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.7086 (b) -10\/7 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -165695\/9 or -18410?\nAnswer: -165695\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 5 - 3 = 0. Let i be (f + 3)\/2*10. Let n = 6 - i. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -439*w**3 - 4*w**2 - 2*w**2 + 726*w**3 - 356*w**3 in the form k + m*w + a*w**2 + o*w**3 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f**2 - f**2 - f**2)*(8*f + 13*f - 7*f)*(1 + 2*f**2 + 1 + 0).\nAnswer: -28*f**5 - 28*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*i - 6*i - 5*i**2 + (-3*i + 0 + 0)*(-5*i + 2*i + i).\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -20250737 divided by 1?\nAnswer: -20250737","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 64*p + 60. Determine s(-17).\nAnswer: -1028","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.01 + -0.01. Let o = 293\/20 - 72\/5. What is the nearest to o in 2, -1\/4, s?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2035457 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4317631 to the nearest integer?\nAnswer: 2078","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -743, -1039, -897, -317, 701, 2157?\nAnswer: 4051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 2309*o + 11534. Calculate j(-5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16 - (-150 - -122)) + (2 - 20)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the third derivative of -1\/2*y**3 + 2*y**2 - 1\/8*y**4 + 0 + 1\/20*y**5 + 0*y + 1\/40*y**6. Determine p, given that r(p) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1977 - 7909\/4. What is the second biggest value in 38, s, 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(468) + sqrt(468)*1 - sqrt(468))\/sqrt(9))\/(sqrt(256)*2 + sqrt(256))*5 + 4.\nAnswer: 5*sqrt(13)\/24 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 32283, 32305, 32347, 32409, 32491?\n\"Answer: 10*w**2 - 8*w + 32281","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 50011 to the power of 1\/3, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 2*h. Let f(i) = 255*i**2 - 911*i - 3. What is l(f(o))?\nAnswer: 510*o**2 - 1822*o - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 104947 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 300441959 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and -939.\nAnswer: -2817","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (10203\/895)\/((-1)\/(-5))*1?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 356957?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 23 = 5*f, 0 = -2*f + 6275*d - 6272*d + 18 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 264698 to the power of 1\/2, to the nearest integer?\nAnswer: 514","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(2736) + 1))**2 + 1.\nAnswer: 216*sqrt(19) + 24634","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 6\/(-270)*1490\/4 and 61\/24?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -64 - -32. Let o be (2 - (-177516)\/(-8))*k. 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 z(p) = -3*p**3 - 3*p**2 + p - 3. Let b(h) = -7*h**3 - 6*h**2 + 3*h - 7. Let f(d) = -4*b(d) + 9*z(d). Determine f(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 377 + -242. Suppose 2*p = 2*d + 246, -p + 0*p + 4*d = -l. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 2*k**2 + 3*k - 2. What is s(-1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the third derivative of v**6\/180 + 2*v**5\/45 - v**4\/36 - 4*v**3\/9 + 4*v**2 + 47*v. Factor y(r).\nAnswer: 2*(r - 1)*(r + 1)*(r + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 264 = 261. Calculate the remainder when (q - (-3284)\/10) + (-32)\/80 is divided by 66.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 5 - 4 + 3*u + 0*u. Suppose -15 = 5*n + l, -3*l + 3 = -n - 0. What is o(n)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b - 2 = 7*b. Let p(q) = -11 + 0*q**2 + q**3 + 10*q**b + 13*q + q**2. What is the tens digit of p(-8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**2 - c + 2. Let o be s(2). Suppose o*z + 12 = 0, 5*h - 3*z = -2 - 4. Sort 0.1, -2, h in decreasing order.\nAnswer: 0.1, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (2 - -2 - 7)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the third derivative of -r**7\/35 + r**4\/12 - 3*r**2. What is the second derivative of v(c) wrt c?\nAnswer: -72*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 + 3\/(-1) + (-515)\/309)*3\/14?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 4*165\/(-99)*9\/(-15)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (79 - 92 + 65)*(-1 - 2 + 5)*(-75 + 12*b + 75)*(0 + 0 + 2*b) to q*b + f*b**2 + k and give f.\nAnswer: 2496","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -6*b. Let m(x) = 716*x**2 - 44. Let f(h) = -179*h**2 + 12. Let u(v) = -22*f(v) - 6*m(v). What is u(i(c))?\nAnswer: -12888*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes after 11:37 PM?\nAnswer: 4:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67630316 is divided by 158.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1456 and 13286?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 6) to base 12\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -698, -1363, -2028, -2693, -3358, -4023?\n\"Answer: -665*n - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 + 4*k**2 - k. Determine p(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.108611 to 1 dp.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35 - 73 + 95269453*j + 38 - 95269444*j.\nAnswer: 9*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 10:21 PM?\nAnswer: 11:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 1188?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -31*r**3 - 1. Let c be x(1). Let l = c + 55. Let j = 60 - l. 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: Suppose 0*q + 10 = q. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/123, -0.5, 1\/9, -0.017?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 18 - (-4)\/(4\/2). What is the greatest common factor of 160 and s?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -202 (base 5) to base 9.\nAnswer: -57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 + -366?\nAnswer: -361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-2)\/14 + (-487)\/21 and 29\/7?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 + -11. Let h(y) = 1 - 2*y - 7 + y. Let p be h(v). Solve p = m + j + 2, -j - 2 = 2*m + 5 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 33 + -41 + 13 + (0 - (3 + -6)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*s - 9*s = 28*s + 219 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -156*h**4 + h - 223.\nAnswer: -1872*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2392 times -17?\nAnswer: 40664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 230.635 litres?\nAnswer: 230635","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*i + 4*i - 5*x + 10156, -3*i + 3*x + 10116 = 0. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 16*g**2 - 27 - 3*g - 15*g**2 + 30. Give x(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -850 to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -2*q**2\/3 - 577232*q = 0?\nAnswer: -865848, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 432\/55, -3\/4, 2\/5, 5?\nAnswer: 432\/55","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -94 - 46.\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 35288653 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = -r - 4*h + 7, 4*h = -16 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i - 7. Let w be t(-7). Let x = 4 - w. Suppose -2*n - 3*n = x*l - 126, 0 = l - 4. What is the greatest common divisor of n and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (72 + 428 - 225)*(c**3 + 4*c**3 - 6*c**3).\nAnswer: -275*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*u = 355 - 95. Suppose 0 = -9*g - 4*g + u. Solve -4*t = -g*y - 18, 3*t - 14 = 2*y - 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000127445 to 6 dps.\nAnswer: 0.000127","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l**3 + 0*l**3 + 0*l**3 + (-l**2 - l + l)*(2 - 2 + l) - 5*l**3 - l**3 + 4*l**3 + 5 + 4*l**3 - 5)*(-2*l + 15 - 15 - 24*l**2).\nAnswer: -72*l**5 - 6*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -74.57 - 11587574.08.\nAnswer: -11587648.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 757250158 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5205103 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8826, 17738, 26664, 35604, 44558?\nAnswer: 53526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 2669 (c) 4 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-4)\/7)\/((-4)\/14). Let s(a) = 2*a + 1. Let w(z) = -3*z - 2. Let m(n) = -4*s(n) - 3*w(n). Let l be m(0). What is the highest common divisor of l and d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -2*w**2 + 22*w - 37. Let l be i(9). Sort 4, l, -3, 80 in decreasing order.\nAnswer: 80, 4, l, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -154*f - 2302. Let p be t(-15). Let n(g) = -1 + g**2 - 8 - 11*g + 8. What is n(p)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-nine halves of a year?\nAnswer: 174","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) - (sqrt(2) + -3*sqrt(4)\/sqrt(2))**2 - (sqrt(2) + -1)*4) + (sqrt(288) - (-2 + sqrt(8)))**2.\nAnswer: 37*sqrt(2) + 200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.1 times -0.2?\nAnswer: 1.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3435176 and 7729146?\nAnswer: 30916584","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the third derivative of -m**4\/24 + m**3\/6 + 14*m**2 + m. Calculate a(-9).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, f: 3, l: 1, x: 4, v: 4}. Give prob of picking 1 v and 1 x.\nAnswer: 8\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.013 + -803066.7\nAnswer: -803066.687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -80033\/2 + 40015. Which is the smallest value? (a) -4 (b) 55 (c) r (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -179.3346 to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 544 and -0.4?\nAnswer: 544.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the second derivative of -m**8\/560 - m**4\/6 + m**3\/2 + m. Let o(p) be the second derivative of s(p). Differentiate o(l) wrt l.\nAnswer: -12*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1152 + -233300?\nAnswer: -232115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (-1 - -1) - (-7 + 7).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -45? (a) 628 (b) 0.1 (c) 0.4 (d) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the second derivative of q**6\/480 - q**5\/40 + q**4\/8 - q**3\/3 + q**2 - q. Let j(g) be the first derivative of u(g). Determine x so that j(x) = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.9 - -0.9. Let b be 19\/77 - (-2)\/11. What is the nearest to -0.1 in 5, n, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*h**3\/11 - 40890*h**2\/11 + 285936*h\/11.\nAnswer: 6*h*(h - 6808)*(h - 7)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 + 142\/(-426) + 2373056\/6 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*9\/4*(-104)\/(-130).\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -25 - 20?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2578 is divided by 289.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4110)\/8905*(1 - 0).\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 2*n + 8. Let u be l(-10). Let a = u + 12. Suppose 0 = -a*t - 4*t + 116. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108 = -22*p - 288. Let f be p\/(-4)*20\/90. Which is the third smallest value? (a) 0.3 (b) f (c) 2 (d) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 494?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*f + 10 + 23 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11.5 - 7.5. Let v = 67.3 + -67.34. Sort v, t, -1.\nAnswer: -1, v, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7149273068 to the power of 1\/5, to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3277530 a multiple of 366?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (35\/(-30))\/((-2)\/6). What is the nearest to 3\/4 in -1\/11, t, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 5*w**3 + 12*w**2 + 10*w - 6. Let m(h) = 6*h**3 + 13*h**2 + 12*h - 7. What is 6*m(r) - 7*u(r)?\nAnswer: r**3 - 6*r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2354118775?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 - -1) + 3\/(-6). Let w(c) = c**3 + 7*c**2 - 7*c + 8. Let d be w(-8). Suppose 0 = -4*y - d*y. Is y > f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 440 and 112860.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -32*g + 31*g + 4*x + 30930, -92881 = -3*g - x. What is g rounded to the nearest 100?\nAnswer: 31000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -561, -564, -569, -576, -585, -596?\nAnswer: -609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -18.21 plus -760.9021?\nAnswer: -779.1121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2959 take away -4?\nAnswer: -2955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 19\/4 of a week?\nAnswer: 47880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12416372.\nAnswer: 2, 3104093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 14*v - 13*v. Let j = 71 - 66. Suppose -j*d + 2*d = -n + 7, 4*n - 15 = -d. Solve -o = n*w + 3 + v, -2*o - w = 3 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1934 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -6397 at least as big as -83152\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 22 + -20. Suppose 4*x = -c*y - 2*y + 372, x + 3*y - 95 = 0. Let i = x - 57. Does 23 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q + q - q**2)*(20 + 12 - 14).\nAnswer: -18*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -24 - (-57 - -78) - -50?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.5 (b) 146\/5 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**2 + 7*x + 10. Suppose -4*o = -2*d + 3 + 17, 0 = o - 2. Let n(r) = 2*r + 3. Give d*n(q) - 4*g(q).\nAnswer: 4*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.014 - 0.966. Let w = -33.02 + 33. Let y = p + w. Which is the closest to y? (a) 4 (b) 3\/2 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m - 3. Suppose 20 = 5*q + 5*j, 9*q - 2 = 12*q - 4*j. Let r(v) = -v - 10 + 22 - 7 - 7 + q*v. Calculate -3*a(f) + 5*r(f).\nAnswer: 2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * -89391\nAnswer: -8939.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2)\/6 - (26780\/(-12))\/5?\nAnswer: 2, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*n**3 + 49*n**3 - 11*n**3 - 7*n**3 + 4 + 10 to the form p*n + y*n**2 + o*n**3 + s and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2367 + -1646. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes before 7:59 PM?\nAnswer: 11:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 605094 and 3570.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 2*n + 7. Let a = n + -8. Let h(k) = -k + 4. Let v(z) = -3*z + 13. Let t(w) = 7*h(w) - 2*v(w). Calculate t(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 z when two letters picked without replacement from {z: 1, y: 2, d: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10338 and 795752043?\nAnswer: 5169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/5*(-2)\/72*(-1095)\/657. What is the fifth biggest value in 3\/4, -4, u, -2, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 4*y + y = 6225, 3*p - 18657 = 3*y. Is p a multiple of 74?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes after 9:50 PM?\nAnswer: 10:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 179883044 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (5 - 3)\/(-8) - 3270\/(-13064). Does f = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3698.769 centuries to decades.\nAnswer: 36987.69","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/(-3)*(9 - 1353\/154). What is the biggest value in o, -3\/5, -5, 4\/141?\nAnswer: 4\/141","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3\/52 and 87\/20.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 0*f + f**2 - 27*f**3 + 270 - f + 16*f**3 + 10*f**3. Is 18 a factor of r(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4812.60684 rounded to the nearest 10?\nAnswer: 4810","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -268 - -190. Let i = y - -83. Solve 3*f - i*f - 9 = -k, -18 = 5*f + 2*k for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 590*q + 26 + 706*q + 581*q - 499*q - 26.\nAnswer: 1378*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + q = -2*q + 487, -455 = 5*l + 5*q. Is -95 greater than or equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -5*i + 375, 2*v - 4*v - 380 = -5*i. Suppose -18*y + 13*y = 3*m - i, -3*y = m - 42. Solve -7*a - 12 = -y*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2142028417 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -2*d. Let y(z) = 132*z. Determine h(y(r)).\nAnswer: -264*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -1.8 (b) -0.1 (c) 9\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 954, 1910, 2866, 3822, 4778?\n\"Answer: 956*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/(-2))\/(6\/(72\/(-6))). Solve -r*f + 1 = -3*k, f + f - 5*k = -1 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.4 and 229865?\nAnswer: 229865.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 5*x = -y + 35, -5*y + 4*x = -46. Suppose -5*g = 3*n - 101, -2*g + 4*n = -3*g + y. Let j = -15 + g. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gugg when four letters picked without replacement from {u: 6, g: 12}?\nAnswer: 11\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -42*i**2 - i - 1. Let q(u) = -u**2 - 7*u - 7. Let p be q(-6). Let b be t(p). Let y = -12 - b. What are the prime factors of y?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the first derivative of -i**7\/56 - 3*i**6\/40 - 3*i**5\/80 + 3*i**4\/16 + i**3\/4 - 21*i - 24. Let r(d) be the first derivative of y(d). Solve r(p) = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 88*z - 259. Determine x(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 322 divided by 14.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 496963.7ml in litres?\nAnswer: 496.9637","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(130) - (sqrt(130) + 1*sqrt(130)))*-1)\/(sqrt(160)*2) - (sqrt(208) + -5 + (sqrt(208) + 2*sqrt(208))**2 + -1 + 1*sqrt(208)).\nAnswer: -1866 - 63*sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:09 PM and 7:13 PM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) -3\/28 (b) 1 (c) -7.55\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 8*o - 2. Calculate the lowest common multiple of o and 57.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 3 = -1. Suppose s = -1 + x. Let h = s - -9. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1133*b**2 - 6886*b**2 + 0 - 1)*(-10*b**2 - 13*b**2 - 5*b**2) in the form n + v*b**4 + u*b**2 + q*b + t*b**3 and give v.\nAnswer: 224532","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(-20))\/(27\/(-15))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-209 - (25 + -232)) + (-120 - 1)?\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 268 = 3*x. Find the second derivative of -6*j + x - 5*j**4 - 134 wrt j.\nAnswer: -60*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the third derivative of -949*z**9\/504 - 53*z**5\/2 + 14*z**2 - 4. What is the third derivative of h(n) wrt n?\nAnswer: -113880*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2\/((-8)\/(-414)) + (-6)\/4.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -924147, -924148, -924149, -924150, -924151, -924152?\nAnswer: -924153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5 - 2*a - 5 + (-54 - 4 + 110)*(-2*a - 3*a + 4*a)*(0 + 4 + 1).\nAnswer: -262*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14180\/3 - -4726. Let m = -295\/4 - -73. Which is the nearest to m? (a) x (b) -6 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 39 - 227.\nAnswer: -188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/(-3) - 0)*1\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes after 3:06 PM?\nAnswer: 11:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2155, -2155, -2163, -2185, -2227, -2295, -2395?\n\"Answer: -b**3 + 2*b**2 + b - 2157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 2*g + 11. List the prime factors of m(11).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/4, -4\/37, -4, 1 in decreasing order.\nAnswer: 1, 3\/4, -4\/37, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1247*a + 1512 + 24805 + 33539 = 0 for a.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (-5 - (1 - 3)) - 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 2817*f**2 - 4*f - 39*f - 12 - 2818*f**2 as w + q*f + l*f**2 and give w.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 0*l = 3*l + 2388, -5*o + 2420 = 5*l. Suppose -n - t + 97 = 0, 0*n = -5*n - 4*t + o. List the prime factors of n.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 11294 and 2.88?\nAnswer: 11291.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g + 2*g - 15. Find the second derivative of -2*l**3 - 10*l**3 - 36*l + 2*l**3 - 12*l**g wrt l.\nAnswer: -132*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -115183320 divided by -1995\nAnswer: 57736","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 583.67547 from 36550.\nAnswer: 35966.32453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*a**3 + 1 - 3*a**3 + 6*a**3 + (2*a**2 + 4*a**2 - 4*a**2)*(a + 1 - 1) - 135*a**3 - 31 + 31.\nAnswer: -132*a**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + v = -13, 5*n - 515 = -4*v - 525. Solve 2*d - 3*t = 6, 4*d + t - n = 10 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4880 divided by -16.\nAnswer: -305","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1261532 and 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 + 13*x**2 + 24*x + 6. Let w be g(-2). Solve 9\/7 + 15\/7*p + 3\/7*p**w - 3\/7*p**3 = 0 for p.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28\/(-154)*-11 - -3087 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3103*n**2*t**2 - 28*n**2*t - 5*n**2 - 2*n*t**3 + 8*n*t**2 + 7*n*t - t**2 - t - 14 wrt t?\nAnswer: -6206*n**2 - 12*n*t + 16*n - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4*((-21)\/(-6) - 1). Suppose -4*u + a*u = 48. Let r(s) = -u*s**2 - 4*s**2 + 13*s**2. Let h(b) = -19*b. Determine r(h(x)).\nAnswer: 361*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 300017 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -597 or 2\/9?\nAnswer: -597","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put together 81 and -1.5.\nAnswer: 79.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19394 - -40677. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -777629270 divided by 55.\nAnswer: -14138714","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 70464 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 v(c) = -319*c - 321. Calculate v(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -2692647455 divided by 5\nAnswer: -538529491","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z = 9 + 111. What is the highest common factor of 5 and z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -46 - -103. Does 6 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 254 + -259. Let t = -26.8 + 24.8. Which is the fourth biggest value? (a) -1 (b) f (c) -0.04 (d) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**3 - 2*k**2 - 3*k - 2. Let h be u(4). Let d(w) = -2*w**2 - 30*w - 22. Let i be d(-8). What is the greatest common factor of i and h?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 155 divide 974463?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.12 - -373044281.\nAnswer: 373044282.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-957 - 1399 + 340 + 737 - 1664)*(-3*q + 4*q - 2*q).\nAnswer: 2943*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 482, 4, 0, 559 in descending order.\nAnswer: 559, 482, 4, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 870447002 a multiple of 1466?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 0*g + 32 = 4*g, -3*q + 2*g = -2. Does 20 divide 6 + 1 + 11 - q\/(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3a3 + 2?\nAnswer: 3a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 4 (b) 0.8 (c) -7 (d) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 2*v - 325. Suppose 0 = 5*j - 0*j - v. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 64707, 129482, 194257?\nAnswer: 259032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (22\/(-55))\/(8\/10)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + 8 + -13 + -4 + 1 - -4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6753, -13504, -20255, -27006, -33757?\nAnswer: -40508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 165357950 and 550.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (32715 - 12435 + 25670 + 34794 + 19595 - 11364)*(0 + 2*g + 0).\nAnswer: 177950*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6418, -6441, -6466, -6493?\nAnswer: -6522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) -28\/5 (c) -17 (d) 0.3 (e) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**2 + s + 2. Let x be h(0). Let z(t) = 13*t - 48. Let n be z(12). Let m = n - 108. Solve m*u + 10 = x*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-95)\/(-114))\/((-120)\/(-1008)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15 + -10. Let r = 233 - 234. Put 2, t, r, 1 in decreasing order.\nAnswer: t, 2, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 43758, 87513, 131268, 175023, 218778?\n\"Answer: 43755*z + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**3 - 14*k**2 - 10*k - 23. Let m be q(-14). Suppose 3*s = -3*h + 9 + m, -h = -3*s - 30. What is the remainder when h is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 838 - 134?\nAnswer: 704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1791 by 597.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 1 = -14. Solve 0 = 3*j + 6, 5*j = c*n + 2*n - 5 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -17*m**2 + 35\/4*m**3 + 1\/2 + 31\/4*m.\nAnswer: (m - 1)**2*(35*m + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -161 + 268. Is f at most as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2643795 years in millennia?\nAnswer: 0.0002643795","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24921762 is divided by 1634?\nAnswer: 1628","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -320 - -820. Suppose -p - 380 = 4*h. Find the common denominator of (-19 + 1)\/(h\/(-121)) and 107\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7933?\nAnswer: 7933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 2*r + 3*r + 10516 = 0, 20990 = 2*d + 4*r. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -19 + 23. Suppose -2*b + 22 = -9*u + a*u, 5*u + 2*b + 18 = 0. Let r = 3 + -8. Are u and r equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the second derivative of 0*y**3 + 0 + 1\/3*y**4 - 236*y + 0*y**2. Let x(i) = 67*i**2. Determine p(x(g)).\nAnswer: 17956*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 6*j + 111. Let o be u(-18). Solve 0 = 4*g - 3*c - 11, 6*c + 16 = 5*g + o*c for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 988610983?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*l**2 - 3*l**2 - 5*l**2 + 4*l**2 + 117*l as w + b*l**2 + x*l and give x.\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/(-168)*12)\/(6\/(-4))\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1387 + 274 + 47)*(-3*u**2 + 3*u**2 - 2*u**4 - 2*u**3) as p*u + w*u**4 + i + h*u**2 + d*u**3 and give w.\nAnswer: 2132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 506 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3 + 13)*15\/10. Suppose 0 = -23*z + p*z + 40. Solve b - z*b + 12 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**3 - 16*y**2 + 69*y + 18. Give q(-19).\nAnswer: -210","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 5 = -g + 2*h, -g + 3*h = -5. Suppose 0 = -l + g*i + 18, -2*l - i = -4*l + 18. Does 7 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 45345064 to the nearest integer?\nAnswer: 357","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*c + 116*c - 4446 = 14*c for c.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:16 AM and 1:32 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 4*x - 23, -3*x + 27 = 5*f - 42. Is (22*(-5)\/f)\/((-2)\/843) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*p + 3*p. Let l = -1 - p. What is the nearest to l in 3, 0, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 142777035.\nAnswer: 3, 5, 3172823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -28 + (-174)\/(-39)*117\/(-18).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - -16 - 10) + (-2 - 0) + -8?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4252125643 a multiple of 3529?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 42317144 not equal to 42317141?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**3 - 7*g**2 - 9*g + 10. Let h be z(8). Suppose -5 = 2*b - p, -6*b + h*b = p + 19. Is 19 a factor of b\/(-6) - 220\/(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 4*r**2 - 3*r - 2. Let n(g) = -g. What is 3*n(f) - y(f)?\nAnswer: -4*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 28494028?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00003892 rounded to 6 decimal places?\nAnswer: -0.000039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 932*h. Let d be n(-3). Let c(v) = -75*v**3 - 4*v**2 - v + 4. Let q be c(-3). Let w = d + q. Round w to the nearest one hundred.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*r**2 + r + r**2 + 3*r**2 - 4*r**2 as a*r + l*r**2 + p and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 105128481 to the nearest integer?\nAnswer: 10253","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1b01 (base 12) to base 6\nAnswer: 23201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-6\/7)\/(n*n**(-4)\/n)*((n\/(n*(n*n**(-1\/6))\/n))\/n)\/(n\/(n\/((n\/(n*n**(-2\/3)))\/n))))**(4\/9) assuming n is positive.\nAnswer: n**(74\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-60 - (-15 - 17) - 21) + (0 - 1 - -7).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a litre in millilitres?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 3 - 2)*(-3 - 4*n + 3) - n + 2*n + 6*n to c*n + d and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 - 9.7. Let q = 13 - 12. Which is the third smallest value? (a) 4 (b) q (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1716615 = -24*g - 21*g. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -248 + 254. Let w(y) = 11 - t - 3 - 8*y**2 - 5 + 2*y. What is w(1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 13) + -1 + 1?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(275)*-2 - ((sqrt(1584) - sqrt(1584)*-2) + -5)) + -2 + 5)**2*3.\nAnswer: -3168*sqrt(11) + 143940","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the second derivative of -73*h**3 + 21*h + 25*h - 30*h**2 + 77*h**3. Does 20 divide g(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 12 = -j, 0 = 3*j - 5*r + 4 - 3. Suppose 2*i + 4*f = 5*i - j, 0 = 2*f - 2. Solve -3 = i*m + 17 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7)\/(-99) - (-6)\/(-33))\/(-1)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 137 - 67. Suppose -3*o = 2*o + 2*u - h, -2*o = -3*u - 47. What is the remainder when 43 is divided by o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -27202.930551 - -27203. Round h to 4 dps.\nAnswer: 0.0694","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -107 greater than 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 51, 176, 503, 1128, 2147?\nAnswer: 3656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12066.\nAnswer: 2, 3, 2011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 9, o: 3}. What is prob of picking 1 o and 1 v?\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 25522112 and 1309?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 215 and 817?\nAnswer: 4085","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -452 + -6?\nAnswer: -458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**3\/4 - 80*m**2 + 109*m\/4 + 107\/2.\nAnswer: -(m - 1)*(m + 107)*(3*m + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3354?\nAnswer: 2, 3, 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a + 1. Let g(y) = 12*y + 10. Let r(p) = g(p) - 10*q(p). Let x(h) = h - 8*h + h. Let w = 0 + 4. What is w*x(j) + 11*r(j)?\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 + (-102)\/17)\/((-2)\/4).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9*r**2 + 32*r**2 - 35 - 26 - 33 + 98 + 8*r**4 wrt r?\nAnswer: 192*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 363 a factor of 14249946?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -56*l + 55*l - 447, 4*l - 12 = 0. Let n = 184 + -159. Calculate the greatest common divisor of q and n.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4590 and 45?\nAnswer: 4590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the second derivative of -7021*a**4\/12 - 4*a**3\/3 + 77*a**2\/2 + 4456*a. What is the second derivative of x(o) wrt o?\nAnswer: -14042","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -2*l - 138. Let u be j(0). What is u rounded to the nearest 10?\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97*j + 346877 = -68*j - 36735. What are the prime factors of j?\nAnswer: 2, 3307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -c**2 + 300*c + 301 = 0.\nAnswer: -1, 301","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 51 = -11. Let i = v - 15. Suppose 4*n + 2*x - 285 = 1229, -2*n - i*x + 737 = 0. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -72172 times 0.3\nAnswer: -21651.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1957 + -1942. Solve -8*t = 6*t - x*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 3 + 10*n - 3*n as i + d*n and give d.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24, -22, -144, -378, -760, -1326, -2112?\nAnswer: -3154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 75.38628 kilometers to micrometers.\nAnswer: 75386280000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 56, 108, 160, 212, 264, 316?\n\"Answer: 52*a + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 781 is divided by 87.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-1\/4)*f**(-2\/19)*f\/(f**(-12)\/f)*f*f**(-5) assuming f is positive.\nAnswer: f**(733\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/((-1)\/(-1)) + 71. Suppose 0 = -33*y + 3113 + 41 - 811. Is y less than or equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -33, -4, 5, 3 in ascending order.\nAnswer: -33, -4, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-4))\/((-25)\/(-10))\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -247, -257, -287, -349, -455, -617, -847, -1157?\n\"Answer: -2*u**3 + 2*u**2 - 2*u - 245","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 2*u = -4, -5*w = -5*u + 5. Let j be (-49997)\/5 + w\/5. What is j rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = c - 34. Let r = -51 - -74. Suppose 83 = 5*a + r. What is the remainder when c is divided by a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3775\/(-150) + 11 + 715\/(-66).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f = -j - 19, -5*f + 93416*j - 55 = 93411*j for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 206532 by 6.\nAnswer: 34422","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 25\/4 of a gram?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/((-72)\/63) - (-1 + 3 + 2).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 742757 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1922.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k + 2*j + 706, 5*k + 2*j = -477 + 3983. Let f = 6951 + -6897. Calculate the greatest common factor of k and f.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -104*k - 7 + 5 - 17*k + 52*k in the form d + p*k and give p.\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 138050295.\nAnswer: 3, 5, 19, 29, 16703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x + 2*x + 0*x)*(2 - 3 - 6 + (-1 - 4 + 4)*(0 + 0 + 1)).\nAnswer: -16*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1273890 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4 + (-36)\/8)*2\/3. Let j(d) = -d**2 - 11*d + 4. Let l be j(-11). What is the nearest to n in l, -0.4, -1\/7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes before 9:21 AM?\nAnswer: 9:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 585447 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = 4*i + 83, 5*k + 66 = -2*i - i. Let s = i - -30. Solve s + 5 = 5*b + 2*q, -5*b - 4*q = -26 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -287 - -1a?\nAnswer: -269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-7)\/(-3))\/(1\/3). Solve -a*z - 10 = -2*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -16\/10227 and 16\/77?\nAnswer: 112497","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11095 and 148120469?\nAnswer: 2219","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 + 1 + 1\/(3\/343199985). Suppose 0 = 3*q + 3*n - 85799991, n = -6*q + 2*q + v. What is q rounded to the nearest one million?\nAnswer: 29000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes after 1:49 PM?\nAnswer: 2:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 640\/(-25) - (9553\/(-205) - -46)\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the first derivative of -h**3\/3 - 3*h**2 - 5*h + 16. Factor b(y).\nAnswer: -(y + 1)*(y + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the second derivative of 0*g**2 - 19\/6*g**7 + 2 - 18*g + 0*g**4 + 0*g**6 - 40\/3*g**3 + 0*g**5. Find the second derivative of y(j) wrt j.\nAnswer: -2660*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:25 PM and 12:52 PM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -69, 26, 335, 966, 2027, 3626?\nAnswer: 5871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**3 + 173*t**2 - 11024*t + 152100.\nAnswer: (t - 26)**2*(t + 225)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21, -29, -33, -33?\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together -85.44590601 and -4.\nAnswer: -89.44590601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1392 and 1952.\nAnswer: 169824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 24 by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 83810807?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x**4\/7 - 8*x**3\/7 - 6*x**2 - 8*x\/7 + 8 = 0 for x.\nAnswer: -2, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3006)\/(-3340)*30\/57.\nAnswer: 9\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 2 + -4 + -19 + (27 - 5)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -321, -599, -877, -1155?\n\"Answer: -278*g - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 21001010002 (base 3) in base 11?\nAnswer: 95144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 4*h**2 - 3*h + 3. Let d(g) = 27*g**2 - 24*g + 20. Let o(b) = 3*d(b) - 20*p(b). Let m(i) = -i. What is -3*m(u) - o(u)?\nAnswer: -u**2 + 15*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q + 12*q + 0*q)*(54*q + 14 + 17 - 59*q).\nAnswer: -45*q**2 + 279*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 7706 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: Is 3563 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g**5 - 53230*g**4 - 532635*g**3 - 1758020*g**2 - 2344220*g - 1065600 = 0.\nAnswer: -5, -2, -1, 10656","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 976 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: 5971 + -20841612.322\nAnswer: -20835641.322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 336?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -47*p**3 - 29 - 16*p + 9*p**2 + 25*p + 42*p**3. Let y = -6 - 3. Let d(a) = -a**3 + 2*a**2 + 2*a - 7. Determine y*d(b) + 2*h(b).\nAnswer: -b**3 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + b = -8. Is b\/(-6) + 618\/18 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6466*l - 6127*l + 12591*l.\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*i + 7 - 52 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -965 - -976.31. Let c = w + -11. Round c to one dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 652\/480 + (-52)\/12 + 3. Is 1 at most z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the first derivative of p**6\/30 + p**5\/20 - 4*p - 3. Let o(r) be the first derivative of j(r). Factor o(q).\nAnswer: q**3*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5\/6 + 11\/18. Which is bigger: l or 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5612 - 5614. What is the second biggest value in v, -0.02, 2\/13, -2\/21?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -1369\nAnswer: 5\/1369","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 14\/84 - 742\/(-12). Let v = 252 - 136. Calculate the remainder when v is divided by r\/3 + ((-88)\/12)\/11.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + -5*(-88)\/(-55)*-4.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1209224?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 2*q = -3. What are the prime factors of (q\/(-2))\/(8\/(-272))?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 113 = 3*v, -v - 176 = -3*l + 203. Let a = -160 + l. Round a to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 607187433 to the nearest integer?\nAnswer: 847","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 27735529 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6179 and 167.\nAnswer: 6179","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((180\/(-25))\/(-6))\/((-40)\/250).\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-12 - -9) + (1\/1 - -6). Let o be (4 + (-6)\/3)*-1. Let q be o\/(-16) - (-234)\/48. Solve q*p = p + g for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -11*r**3 + 2. Let t(y) = y**3 - 1. Let v(a) = h(a) + 3*t(a). Differentiate v(x) with respect to x.\nAnswer: -24*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 45 + 26850?\nAnswer: 26895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the third derivative of h**5\/20 - h**4\/8 - 2*h**2. Let c(a) = 3*a**2 - 2*a. Calculate 3*c(f) - 2*y(f).\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1882?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 28, 115, 258, 457, 712, 1023?\n\"Answer: 28*p**2 + 3*p - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -45044 and -5.25?\nAnswer: 45038.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 13*i = 4*k + 13, -3*k + 27*i = 31*i + 7 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:48 AM and 7:50 PM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**2)\/d*d\/d**(1\/3))\/(d**(-2\/11)*d\/d**7)*(d*(d*(d**5\/d)\/d)\/d*d*d)\/(d\/(d*d**(1\/13)))*d**2\/d**5 assuming d is positive.\nAnswer: d**(3400\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1\/19350 - -416039\/270900. What is the common denominator of i and 57\/7?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21133, -82127, -183709, -325885, -508661, -732043, -996037, -1300649?\nAnswer: -1645885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1086\/(-8) - -3)*-4. Suppose -5*y + b = -2*y. Suppose 3*x - y = -f, 0 = -f - 2*f. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -24\/55 - -13\/55. Which is the smallest value? (a) 42 (b) 2 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*2*3\/((-36)\/1).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 17 = v - 2, 5*v - 5*s = 75. Let d(m) = 4*m - 34. Let r be d(v). Let c = 42 - 28. Solve -2*k - 5*q = r, 0*q + 4*q + c = 2*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 41, 380, 1297, 3080, 6017?\nAnswer: 10396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/17, -0.5, -2 in descending order.\nAnswer: 3\/17, -0.5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4384 and 160?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the first derivative of -841*w**5 - 29*w**2\/2 - 65*w + 3401. Find the second derivative of v(c) wrt c.\nAnswer: -50460*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26220 divided by -874\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 50567?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -140*u + 198*u + 3 - 69*u. Let q(a) = -5*a + 1. Calculate 4*m(r) - 9*q(r).\nAnswer: r + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + 0. Let m be -2 - (-1 - n) - -1. Suppose m = 3*z - 30. List the prime factors of z.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 8 = 2*n - 50, 5*n - 5*w - 105 = 0. What is the remainder when n is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, y: 1, s: 1, p: 1, f: 1}. What is prob of picking 1 y and 1 p?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12411997?\nAnswer: 13, 19, 31, 1621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**10)**(5\/7)*d**(-16)\/d**(-6\/11) assuming d is positive.\nAnswer: d**(-640\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - 5*b - 109, -10 = -4*b + 2. Let p = 2 + -2. Suppose v + p*v + z = x, -70 = -2*v - 4*z. Does 9 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - 17 - 41. Let v = 24 - r. Let l = 4 - v. Which is greater: l or 4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -282 + 285. Suppose -5*u = g*h - 4*u - 119, -2*h = 3*u - 77. Solve -4*t + 4*c - 4 = 0, 2*t + 5*c + h = -2*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1300432 (base 7) in base 5?\nAnswer: -20341124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/5477553 and -41\/4833135?\nAnswer: 82163295","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 17*q - 13. Let l(j) = -284*j**2 - 2*j + 1. Determine l(t(b)).\nAnswer: -82076*b**2 + 125494*b - 47969","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 - 9*h**2 - 6*h - 4. Let x be (0 + -6)\/((-6)\/(-8)). Let j be i(x). Let y = j + 62\/3. Are 0 and y unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -5*j**3 - 1623315*j**2 + 5*j + 1623315 = 0.\nAnswer: -324663, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from suussussyyyuysys. What is prob of picking 2 u and 1 s?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v + 5*b + 52 - 212, -2*v = 2*b + 80. Let p be 10\/v + (0 - 1). What is the closest to -2\/3 in 0.5, -0.2, p?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*j + 2700 = -33*j. What is the least common multiple of j and 60?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/180*-1542 - ((-40)\/6 - -9)?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -798.045923 to the nearest 100.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6666 + -6458. What is the lowest common multiple of f and 220?\nAnswer: 11440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -167490*l**2 + 2173826*l + 16*l**3 + 167490*l**2 - 2173826*l.\nAnswer: 16*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -3 - 2*o - o**2 - 2 + 9*o + 1. Let j be k(6). Solve -b**j + 4*b + 1 - 2*b - 2 + 0 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2002184 a multiple of 107?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -106620*k**3 + 17945.\nAnswer: -319860*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vt when two letters picked without replacement from ddttdtvvtttdvnvd?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -258, -256, -254, -252, -250, -248?\n\"Answer: 2*b - 260","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/351416 and 58\/2328131?\nAnswer: 18625048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**2 + 13012*d - 13008.\nAnswer: -4*(d - 3252)*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the third derivative of -b**6\/40 + 13*b**3\/6 - 16*b**2. Find the first derivative of t(u) wrt u.\nAnswer: -9*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 3*m**3 + 2*m**2 + 2. Let q(s) = -6*s**3 - 5*s**2 - s - 5. Calculate 2*q(p) + 5*x(p).\nAnswer: 3*p**3 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 938 and 289373.\nAnswer: 469","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.02 - -2.02. Sort 5, 2\/3, z in descending order.\nAnswer: 5, z, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(-3) + 28\/12. Let y = 212 - 224. What are the prime factors of 1\/m + (-102)\/y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 754\/(-65) + (-3)\/(-5). Let y = h - -10. Which is the nearest to 0.1? (a) 0.3 (b) -3 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 - -261)\/(6\/(-4)). Let x = -121 - t. Let s(h) = -2*h + 4. Calculate the remainder when x is divided by s(-7).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 202, 160, -158, -752, -1622, -2768, -4190?\nAnswer: -5888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*y - 42*y = -24. Let t(p) = 2*p**2 + 14*p - 42. Let f be t(-16). What is the greatest common factor of y and f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 18*h**2 - 106*h - 13. Let f(k) = -27*k**2 + 160*k + 19. What is 5*f(a) + 7*t(a)?\nAnswer: -9*a**2 + 58*a + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 29, 2, 470, -2851 in ascending order.\nAnswer: -2851, 2, 29, 470","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**3\/5 - 319*z**2\/5 - 3872*z + 1022208\/5.\nAnswer: -(z - 33)*(z + 176)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -181 - -185. Suppose -2*c = -4*k + 360, -639 + 211 = -5*k - 3*c. Let a = k + -52. What is the least common multiple of z and a?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 947 divide 447931?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g = -4*i - 60, g + 111 - 498 = 39*i + 161 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*h*v*x**2 + h*v*x + 4*h*x**2 - 16*h - 1507*v*x**2 + v*x wrt h?\nAnswer: -2*v*x**2 + v*x + 4*x**2 - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 346 is divided by 173.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26 - 14 + 75)*(-2*w**3 + 3*w**2 + 1 - 3*w**2).\nAnswer: -174*w**3 + 87","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 571.6713009749?\nAnswer: -571.6713009749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 458792 to the power of 1\/2, to the nearest integer?\nAnswer: 677","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 12071 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c**2 + 218786720*c - 2991726803022400 = 0. What is c?\nAnswer: 27348340","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 53 or -122?\nAnswer: 53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddss when four letters picked without replacement from {u: 2, s: 5, d: 2}?\nAnswer: 5\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, 5, -1\/186, 1\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 122*q - 912 = 91*q - 137 for q.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1\/190 - -757\/570. What is the second smallest value in 0.4, x, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28611 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 u = -149 - -148. What is the second smallest value in 0.3, u, 6?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 6, d: 6}. What is prob of sequence wdw?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v + 2. Let l be j(-3). Suppose 0 = c - 6*c + l. Factor -3 + c + 4*w - w**2 - w**2.\nAnswer: -2*(w - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -18? (a) 506 (b) -2 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**3 - 4*c**2 - c + 2. Suppose 266*j - 259*j = -28. What is i(j)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7526 - -7556. Let n(t) = t**2 - 33*t + 91. Determine n(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19 + 11. Let i = 13 + -14. Let g = i - y. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-38*o**4 + 33*o**4 + 31*o**4 - o**2)*(0 + 0 + o).\nAnswer: 26*o**5 - o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5552 or 5553?\nAnswer: 5552","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f + f + 3*f)*((2*f + 0 + 0)*(-3*f**2 + 2*f**2 + 2*f**2) + 3*f**3 - 2*f**3 + 2*f**3 + (3 - 3 + 2)*(-2*f**3 + 0*f**3 + 4*f**3) + 0 + 0 + 2*f**3).\nAnswer: 11*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 + 5*g**2 + 5*g + 12. Give q(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 39641551 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and 0.6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (12 - 12 - 21)*(0*v - v + 5*v) as k + m*v and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -541*z**2 + 2 + 231*z**2 - 2 + 316*z**2.\nAnswer: 6*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*a**4 + a**4 + 2229 - 26*a**3 - 2228 - 14*a**3 in the form s*a + k + x*a**3 + l*a**4 + n*a**2 and give x.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -201a1 (base 11) to base 16\nAnswer: -734a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -p**5 + 20*p**4 - 2*p + 91.\nAnswer: -20*p**3 + 240*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/376176 and 5\/423198.\nAnswer: 3385584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, 15830, -3, 4, 0, -2.\nAnswer: -3, -2, -1, 0, 4, 5, 15830","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 69 - 15 - 23*j**3 + 117*j - 18*j**3 + 6 + 54*j**2 + 38*j**3 = 0?\nAnswer: -1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -682.5 to the nearest ten.\nAnswer: -680","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.96030578*-0.4.\nAnswer: -0.384122312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4133327 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 112 and 84?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 342 + -495. Let i = p + 160. Which is the second smallest value? (a) -0.3 (b) -4 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1102150 divided by -670?\nAnswer: 1645","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-6)*m)\/((m*m*m\/m**(-4))\/m)*m**(-2\/5)\/(m\/m**(-1\/2)*m*m))\/((m**(-2\/5))**43)**(5\/9) assuming m is positive.\nAnswer: m**(-481\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 0*m = 3*m + 31, -5*m = 5. Let a(b) = -b**3 + 4*b**2 + 12*b + 3. Let n be a(6). Solve w + 8 = n*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 + 12*(-8)\/(-6). Let z be (c\/(-21))\/((-2)\/12). Find s such that 1\/3*s**2 + 0*s - 1\/3*s**z + 0*s**3 + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes before 12:26 PM?\nAnswer: 6:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 2*m - 3. Let r be f(9). Suppose 8*t - 3*t - r = 0, 2*b = -t + 3. Let g = 0 + 1. Is g greater than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180)\/(sqrt(10) - sqrt(160)))\/(sqrt(24)*-6) + sqrt(3) + sqrt(3) + 1 + -1 + (0 + sqrt(243) - sqrt(3))**2.\nAnswer: 73*sqrt(3)\/36 + 192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(20) + sqrt(20) + 1.\nAnswer: 1 + 14*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -49.1 + 49. Is k less than 185?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 76\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(52)\/(sqrt(40)\/(sqrt(30)\/sqrt(3)))*4 + (sqrt(13)*-3*2 - sqrt(143)\/sqrt(396)))**2 + -2.\nAnswer: 2125\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 39.23 + -0.23. Let y = 43.6 - n. Round y to 0 dps.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**3 + 11*q**2 + 11*q + 27. Let m be i(-9). Let u = -90 + m. Solve u = -2*h + 11 - 9 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3241*-54.\nAnswer: -175014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 14, 247 in descending order.\nAnswer: 247, 14, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*r - 452*r = -193 - 1382 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + -6*(2*(sqrt(425) - (-1 + sqrt(425) - sqrt(425))) + sqrt(425)))*-1)**2.\nAnswer: 1440*sqrt(17) + 137764","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + 13. Let g = -10.00000005 + t. What is g rounded to 7 decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide -4 + (244\/(-10))\/(16\/(-80))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91*j + 3006 = 2*l + 94*j, 2*l - 5*j = 2990. Is 4 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 140641684 and 22.\nAnswer: 1547058524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -3*d + 23, 15 = -0*d + 5*d. Solve -a*m - 10 = -9*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.248 + -22.752. Which is the third smallest value? (a) -4\/9 (b) 4 (c) 0 (d) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the second derivative of -59*o**4\/4 - 21*o - 4. Let s(k) = -2*k**2. Calculate s(i(t)).\nAnswer: -62658*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -35 - -37. Solve j = 2*r - 1, -2*r + 4*j - z*j + 6 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5350.511 meters in millimeters?\nAnswer: 5350511","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.269 and -11710499.5394.\nAnswer: -11710499.8084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11734.688 + -13662.0563. Let q = 1927 + z. What is q rounded to 2 decimal places?\nAnswer: -0.37","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31559 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.1, 0, -7, 453, 4?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1363.73226 rounded to the nearest integer?\nAnswer: -1364","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 1 + 2*b + (-5*b - 3*b + 3*b)*(2 + 6 - 3) in the form t + f*b and give f.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 2*n**2. Let q(y) = -128*y**2. Give c(q(x)).\nAnswer: 32768*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -424570000 to the nearest 1000000.\nAnswer: -425000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -2*l + 6. What is the units digit of d(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8327 + 2827 = -169*g + 5852 - 198 for g.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -239*q + 239*q + 14*q**3.\nAnswer: 14*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 33 and 11789073.\nAnswer: 129679803","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 20*h + 363. Give j(-19).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10100000 + -100110?\nAnswer: -11000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**2 + o + 17. Let h(d) = 9*d**2 - d**3 - 6 + 0*d**2 - 2*d**2 - 5*d. Let v be h(6). What are the prime factors of l(v)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14838 + -14831. Solve 9*d = 52 - l for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6.5 - -7. Let o = -5.5 + 0.5. Let j = 4.6 + o. What is the nearest to 1 in p, -4\/3, j?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-644)\/(-3)*(-41205)\/192290.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 2 + -2 + 10 + -7.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z - 4, -4*i + 511 - 159 = 4*z. Let a = i + -43. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4, -3, -23, 65.\nAnswer: -23, -4, -3, 1, 65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = l + 4, 2*l - 5 = -2*z - 13. Let d(k) = -k**2 - 6*k - 8. Let r be d(l). Suppose r = 6*h - 2*h - 36. Solve 0 = -5*y - 29 + h for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -6*g - 1. Let h(u) = 6*u + 58. Give y(h(x)).\nAnswer: -36*x - 349","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 269 * -0.15.\nAnswer: -40.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -9 - 0?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-201)\/2211)\/(10\/(-1210)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*s**4 + 157*s**3 + 502*s**2 + 91*s - 475678?\nAnswer: -72*s**2 + 942*s + 1004","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -56 + 152. Does 2 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*w**2 - 1364*w - 1361*w + 2716*w + w**2 + w**2 - 3*w**2 + (3*w + w - 3*w)*(-84*w - 70*w + 145*w).\nAnswer: -17*w**2 - 9*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2023)\/6358*(-20)\/7*-33*(-4)\/(-144).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21527476 is divided by 8705?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 + 4. Let r be b\/3 + (-328)\/24. Let s = -12 - r. Does s = 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -2\/9, -2, -0.08, -3\/7 in decreasing order.\nAnswer: -0.08, -2\/9, -3\/7, -0.5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 110259?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 946468, 3785790, 8517994, 15143080?\nAnswer: 23661048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 218.869 - 219. Round q to 2 dps.\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21552 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 2*j + 4*l + 36 = 0, 3*l - 8 = -4*j. Let f = -9.4 + 9. What is the nearest to 2\/5 in j, 3, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = r - 59 + 57 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((68\/(-6))\/(-53 - (-3454)\/66))\/5\nAnswer: 17\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 - 1\/(-6)*(1 - 3). Let g = 4 - 6. Which is the closest to v? (a) g (b) -3 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -78 - -78. Let n(s) = -s**3 + 18*s**2 - s + 18. Let l be n(18). What is the closest to b in 1, 3\/4, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 41*c**2 + 18*c + 9. Let b be m(5). Suppose 83*v = 81*v + b. What is the tens digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 2 g when four letters picked without replacement from {t: 17, g: 2}.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 29*r**2 - 6*r + 352. Let a(i) = 12*i**2 - 2*i - 2. What is 3*a(z) - f(z)?\nAnswer: 7*z**2 - 358","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 + 6 = 5*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -13 >= -0.155?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**4 - 4*v**3 - 75*v + 7. Let o(g) = g**4 - 2*g**3 - 38*g + 3. Let q(z) = -5*o(z) + 2*t(z). Find the second derivative of q(k) wrt k.\nAnswer: -36*k**2 + 12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 1037?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - z - 230 = -229, 21 = -5*b + 3*z for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.02 - -1.98. Which is the second biggest value? (a) n (b) 5\/4 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express n**2 - 2*n**2 + 4*n**2 + (10 - 10 + 6*n)*(3*n - 7*n + 2*n) in the form w + i*n**2 + m*n and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-182 - 28)\/15 + (-21)\/((-231)\/902)\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:17 AM and 6:52 AM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -2*x - 6. Let p(c) = 16*c**3 - 2*c. Let a be ((-18)\/(-8) - 27\/18)*140\/15. Let f(i) = 5*i**3 - i. Let z(m) = a*f(m) + x*p(m). Factor z(v).\nAnswer: 3*v*(v - 1)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 + 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/2)\/((-2)\/(-4)). Suppose 5*i = u*i + 6. Suppose 0*z = -i*z + 28. Is 7 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = 3*r + 4*l, -6*r + r + 16 = 3*l for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 4*p + 4*k, 5*k + 9 = -4*p + 33. Let b(l) = -14*l**3 + 8*l**2 - 3*l + 11. Let s(w) = -5*w**3 + 3*w**2 - w + 4. What is p*s(a) - 4*b(a)?\nAnswer: a**3 + a**2 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 215013 to the power of 1\/2, to the nearest integer?\nAnswer: 464","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 - 12 = 12*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 51*i**2 + i - 34*i**2 - 26*i**2 to the form m + g*i + q*i**2 and give q.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*l - 1)*(1 + l - 1 + (3 + 2 - 12)*(654 - 654 + 26*l)).\nAnswer: -362*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**2 - 385897*i + 4630616. Calculate c(12).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**3 - 5*u**2 + 4*u - 1. Let d(m) = 2*m**2 + 14*m + 4. Let g be d(-7). Determine w(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14*d**5 + d**4 - 42*d**3 + 2*d + 67.\nAnswer: 280*d**3 + 12*d**2 - 252*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -290 or -1238?\nAnswer: -1238","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3189 is divided by 1594.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12100 by -605.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t = 3*f - 23, 350*f - 354*f = t for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/44 and -155\/132?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + (-399)\/76 + 5 + (-95)\/4?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69608\/3850 + 6\/(-75)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 126 is divided by 26?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**3 + 7*h**2 - 9*h - 4. Let s be d(-8). Let c be ((-30)\/(-21) + -2)\/((-28)\/98). Find the first derivative of 3 + 4 + s - c - 21*b**4 wrt b.\nAnswer: -84*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**5 + 5*b**4 + 41*b**3 + 83*b**2 + 68*b + 20.\nAnswer: -(b - 10)*(b + 1)**3*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*t**4 - 23*t**2 - 11049*t - 19851948 wrt t?\nAnswer: 12*t**3 - 46*t - 11049","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 14553883, 14553815, 14553747, 14553679?\n\"Answer: -68*a + 14553951","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*l - 160 = 9*l. Let m(z) = z + 2. Let u(v) = -3*v - 5. What is l*m(b) - 2*u(b)?\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*l - 40 - 173 = 77 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes before 1:32 AM?\nAnswer: 9:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 8 - 44 = -3*t, -b = -3*t - 44. Suppose -24 = 3*w - 2*x, 4*w - 3*x + b = -1. Let u be (-3)\/w - 6\/(-36). Is u less than 10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ree when three letters picked without replacement from {e: 14, r: 5}.\nAnswer: 455\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Total of 27 and -36.2.\nAnswer: -9.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -3*r + 42. Let t(n) = n**3 + 8*n**2 + 4*n - 10. Let w be t(-7). Let d be p(w). Calculate the highest common divisor of 90 and d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 23, 2, -0.5, 0.3, -0.035, -6?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the first derivative of 1163*n**3\/3 + 1975. Let d(z) = -6*z. Calculate m(d(a)).\nAnswer: 41868*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 2452642 (base 9) to base 3\nAnswer: 2111202201102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kbbe. Give prob of sequence bb.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 3*q - 0*q + 33, q = 3*w - 29. Suppose w + 6 = 3*i. Is i a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 51413 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a. Let x(j) = -316 + 656 - 340 + 84*j. Calculate 56*k(c) - x(c).\nAnswer: -28*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 4 = 0, -t + 3 = -p + 2. Suppose -4*j + 16 = p, 4*m = -j - 3*j + 36. Suppose -m*n = -42 - 8. What is the lowest common multiple of n and 18?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*h*u*x - h*u - 47661*h*x - 32*u*x + 9*u with respect to u.\nAnswer: -4*h*x - h - 32*x + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/10 of a century?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the first derivative of r + 5 + 5 - 5 - r**2. Let k be y(3). Which is the third smallest value? (a) -0.2 (b) -3 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 14, 8, 2, -4?\n\"Answer: -6*f + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*r + 9739 + 9737 - 19476 - 2*r.\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -807 - -807. Which is smaller: -6\/143 or k?\nAnswer: -6\/143","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1061873.6499965 + -1061874. Let d = w - -0.35. What is d rounded to 5 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1021*i - 1484*i = 487*i - 158225 - 27279 for i.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j and 1 t when four letters picked without replacement from {i: 1, u: 1, r: 1, s: 3, j: 4, t: 2}?\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c + 6*c. Solve c = -0*s - 5*s + 10 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 59 + -1 + -297 + 258 + 3\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h, 1 n, and 1 w when four letters picked without replacement from {w: 3, n: 1, e: 3, h: 6}.\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.4 at most 926?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**3 - 11*y**2 + y - 2. Determine d(-11).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 3*q + 3. Let b be t(7). Find the common denominator of (-1)\/1*(2 - 92\/b) and 43\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, -0.163, 13, -3, 0.5, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * 9573.\nAnswer: -1914.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -856*m - 7*m**2 + 859*m + m**2 - 1917 - 4*m**2.\nAnswer: -10*m**2 + 3*m - 1917","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the third derivative of 2 - 1\/570*p**5 + 0*p + 4\/57*p**3 - 54*p**2 - 1\/19*p**4 + 1\/380*p**6. Factor l(j).\nAnswer: 2*(j - 2)*(j + 2)*(3*j - 1)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3550 divided by 4\nAnswer: 1775\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 355505.3cm to micrometers.\nAnswer: 3555053000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 2*t + 11, 2*y - 5*t + 11 = -y. Let u(q) = q**3 + 5*q**2 - 14*q + 8. Let a be u(y). Solve -4*f - j = 7 + a, 2*f - 5*j = -13 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1028, 1022, 1006, 974, 920, 838?\nAnswer: 722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.537 and -1\/44 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1357 and 8968.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the first derivative of -j**4\/16 + j**3\/4 - j**2\/4 - 15. Factor l(r).\nAnswer: -r*(r - 2)*(r - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i - 2*i + 36. Let r be 26\/8 + 9\/i. Suppose 0 = r*z - 0*z - 168. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 4*a = -22. Let g be (a\/33)\/((-2)\/(-15)). Let f(v) = v**3 + 6*v**2 + 7*v + 7. What is f(g)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.3 - 0.1. Let u = 0.4631 - 5.4631. What is the second smallest value in u, w, 4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 262927422 divided by -3\nAnswer: -87642474","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*k**4 - 535*k**3 - 12400*k**2 + 26980*k.\nAnswer: -5*k*(k - 2)*(k + 38)*(k + 71)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, 5, -2\/3, -3\/7?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -704485070, -704485053, -704485022, -704484971, -704484894, -704484785, -704484638, -704484447?\nAnswer: -704484206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 382*l**3 - 25 - 32 - 29 + 85 + 86*l + 9463*l**3 wrt l?\nAnswer: 59070*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -2*o - 12. Suppose v - 2*t + 2 = 0, v + 2*t + 10 + 0 = 0. Let l be g(v). Suppose f + f - f = l. Solve -n + 8 = -5*m, n + 0*n - m = f for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 726352077 to the power of 1\/2, to the nearest integer?\nAnswer: 26951","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w when three letters picked without replacement from {v: 2, o: 3, z: 1, w: 3, m: 1}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2120021 + 1?\nAnswer: -2120020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 2*v = 6, 2*v - 6*v = -3*j - 13. Let k = -7 - -21. Let q = k + -10. Which is the closest to j? (a) 1\/5 (b) q (c) 0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -479*r**3 + 5303*r**2 + 5736538?\nAnswer: -1437*r**2 + 10606*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -451198*z**4 - 2*z**3 - z**2 - 98*z + 6731 wrt z.\nAnswer: -5414376*z**2 - 12*z - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 40457 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 3*u - 7 = -11, 5*i - 3*u = 8. Let t be ((-36)\/48)\/(78\/(-16)). Which is the third biggest value? (a) t (b) i (c) -0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d*d*d**(-6)*d)\/d*d**(-2\/3)*(d**0)**(2\/65))\/((d\/(d*d\/d**(2\/7)))**(2\/29))**50 assuming d is positive.\nAnswer: d**(-733\/609)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**3 + 15*n**2 + 24*n - 2. Let i be k(16). Suppose -10*w + i = -8*w. What is the tens digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -f*g**3*p + 123*f*g**3 + 2*f*g**2 - 2*f*g*p - 2*g**3*p - 2*g**3 - 395*g**2 wrt g.\nAnswer: -6*f*p + 738*f - 12*p - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 8*s - 75. Let v be z(10). Solve 0 = -3*a - 2*w + w + 13, 3*a - v = w for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwzz when four letters picked without replacement from {u: 1, g: 5, z: 2, i: 4, w: 2}.\nAnswer: 1\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 19*l. Let q(b) = 91*b. Give q(j(n)).\nAnswer: 1729*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1516*w**6 - 156*w**5 + 2*w**2 + 844790 wrt w?\nAnswer: -181920*w**3 - 9360*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the third derivative of -v**5\/60 + v**4\/6 - v**3\/6 + 17*v**2. Let i = 0 + 2. What is the units digit of s(i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 132528 - 132525.99994. Let l = 2 - r. Round l to 5 decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-1\/3)\/b)\/b**(-1\/4) assuming b is positive.\nAnswer: b**(-1\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2459657 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*v**2 + 3*v + v - v**2 - 28 - 36*v**2 + 23*v**2 to c*v**2 + j*v + k and give k.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in -1740, -1\/84, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 331865 at least 331856?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3516.165 milligrams?\nAnswer: 3516165000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4316431?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -2*h - 20. Let y be d(-14). Let v be 15\/12 + 2\/y. Factor u**2 + 1\/2*u**5 + u**3 - v*u**4 - 3\/2*u + 1\/2.\nAnswer: (u - 1)**4*(u + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, c: 1}. What is prob of picking 2 z?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 + -38. Let h(f) = f**2 - 32*f + 111. Let o be h(26). Let m = d - o. Which is bigger: 16 or m?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 142*i**2 - 11*i - 60. What is the thousands digit of d(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(19) + (2*sqrt(19))**2)*-2 - sqrt(57)\/(sqrt(15)\/(1*sqrt(5))).\nAnswer: 11*sqrt(19) + 912","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*t + 17*t - 16. Let i = t + 8. Solve 3*w - 4*c + i = w, -3*w = -4*c + 10 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 32\/3032895 and 77\/16284.\nAnswer: 12131580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p - 2. Let t = 221 - 216. Let l(j) = j - 2. Calculate t*v(h) - 4*l(h).\nAnswer: h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1204605844 to the nearest integer?\nAnswer: 1064","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3350?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (42\/(-98))\/(((-3)\/(-7))\/(-3))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12300270433 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -2*r + 3. Let l be u(3). Let z(s) = 4*s**2 - 3*s - 7. Let i(x) = 1614*x - x**2 - 1126 - 1613*x + 1127. Determine l*i(f) - z(f).\nAnswer: -f**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7.464 + 2.464. Which is the third biggest value? (a) 0.1 (b) -0.5 (c) o (d) -0.034 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2866801 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 67*m - 140*m + 78*m - 1. Let g(c) = -11*c + 3. Let a(b) = -4*g(b) - 9*v(b). Give a(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 33.24 + -0.24. Let d = -35.3 + r. Let m = 2.29916 + d. What is m rounded to four decimal places?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -34 + 55 + (35 - 44)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1a9c (base 13) to base 7\nAnswer: -14465","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -13*v**3 + 2*v**2 - 46. Let u(d) = 3*d**3 + d**2 + 4*d**3 - 15*d**3 + 7*d**3. Let f(r) = m(r) - 2*u(r). Differentiate f(i) with respect to i.\nAnswer: -33*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15.3 - 6. Let q = -5.3 + v. Let c = 1 - 0. What is the smallest value in c, -4, q?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the second derivative of 0*m**4 - 1\/70*m**5 + 1\/21*m**3 + 29*m + 0 + 0*m**2. Factor b(w).\nAnswer: -2*w*(w - 1)*(w + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 79 by 1311.\nAnswer: 79\/1311","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-16)\/2*1\/((-8)\/4). Put 2, q, 3, -1 in ascending order.\nAnswer: -1, 2, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 191246?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t - 18 = -58, 3*g - 4*t = -37 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -10210 (base 3) in base 13?\nAnswer: -7b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/10728 and -95\/12?\nAnswer: 10728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1053) + (sqrt(1053) - sqrt(1053)*-1 - sqrt(1053)))*-2*-4 - 1*(sqrt(1053) + -5 + (-1 + sqrt(1053) - sqrt(1053))))*6)**2.\nAnswer: 58320*sqrt(13) + 8530596","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49285375.\nAnswer: 5, 47, 8389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -8929 bigger than -133939\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 3*f**3 - 38*f**2 - 7*f. Let b(i) = -i**3 + 13*i**2 - i. Let p(w) = 4*b(w) + g(w). Determine p(13).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (44\/(-18))\/(73\/(-22995)*-35).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 0 + 14*j**4 - 2 + 8*j**4 - 4*j**4 wrt j?\nAnswer: 72*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t - 2*t + t**2 + 5*t + 6)*(-t**2 + 2*t**2 + 0*t**2 + (2*t + 0*t - 3*t)*(-4*t + 2*t + 3*t) - 2*t**2 + 4*t - 4*t).\nAnswer: -2*t**4 - 6*t**3 - 12*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d. Let c be s(2). Suppose 0 = -c*x + 5*k + 31, -36 - 26 = -5*x - 3*k. What are the prime factors of x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -16 + 22. Suppose -s + 5*o = 32, -3*s + 0*o = 3*o + b. Let i(l) = l**3 + 6*l**2 - 16*l. Does 9 divide i(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -5*p. Let k(a) = 5*a - 5. Let v(h) = 11*h - 11. Let m(d) = -9*k(d) + 4*v(d). Let x be m(-4). Let o(g) = -4*g + x*g - 3*g. What is w(o(r))?\nAnswer: 10*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 21 + 1. Calculate the least common multiple of k and 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.273 + 49.273. Let o = 53 - k. Which is the closest to -0.1? (a) 5 (b) o (c) -0.49\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y + 4. Let h(l) = 5. Let d(f) = 4*h(f) - 5*p(f). Let u(k) = -4*k. Give d(u(z)).\nAnswer: -20*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes after 11:11 AM?\nAnswer: 12:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 119, 1568, 5771, 14192, 28295, 49544?\n\"Answer: 244*v**3 - 87*v**2 + 2*v - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c - 8. Suppose -24*x - 35 = -29*x. Calculate l(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 149 is divided by 59?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 283 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 4*i - 2*u = -6, -u + 4 = 3*i. Suppose d + i*d = p - 20, 40 = 3*p - 5*d. Which is the closest to 2? (a) -3\/7 (b) -5 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 p when three letters picked without replacement from {f: 4, w: 1, d: 4, p: 1, i: 8, a: 2}?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -2663*d - 3854. What is the hundreds digit of g(-12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 15185 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-36)\/(-45))\/(-4))\/((-2)\/(-20)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3831453.15 rounded to the nearest one hundred?\nAnswer: 3831500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -46) + 77 + -62 + (7 - (27 + 4))\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -136, -463, -1044, -1909, -3088, -4611, -6508?\n\"Answer: -5*w**3 - 97*w**2 - w - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 2 - (-988)\/1092?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:13 PM and 1:59 AM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*a - a - 5*k + 256 = -3*a, -2*a = 24*k - 1194 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/9 + (-1428)\/(-18). Solve 11*g + c = -9*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 7*h - 13 - 12*h - 5*h - h**2. Let i be d(-4). Let l(f) = 3*f**3 + 2*f + 1. Let c be l(3). What is the highest common factor of i and c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:41 PM and 8:23 PM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 + -4. Suppose -5*a - 3*p = -i*p - 140, -25 = -5*p. Let y = a - 10. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -191*p**3 + 12*p**2 + 23*p + 6. Give w(-1).\nAnswer: 186","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*q = 2*r + 42*q + 20, 5*r + 3*q = -19 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 388885?\nAnswer: 5, 7, 41, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00012278 rounded to six dps?\nAnswer: 0.000123","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -488 (b) -5 (c) 5 (d) -0.1 (e) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -8 and -145?\nAnswer: 1160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70388*r = 69978*r + 27060 for r.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 32636 * 1862.\nAnswer: 60768232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1000211 + 10?\nAnswer: -1000201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 18 = 2. What is the third derivative of 2*x**2 - 5*x**a - 4*x**3 + 6*x**5 + 4*x**3 wrt x?\nAnswer: 60*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 544389?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 120223 - 1?\nAnswer: 120222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 110742 is divided by 293.\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5.11621 + -5.4037. What is a rounded to 2 dps?\nAnswer: -0.29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 181 + -185. What is the units digit of ((-132)\/110)\/(y\/170)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 334060.\nAnswer: 2, 5, 16703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -57751246044 - -0.1.\nAnswer: -57751246043.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 74506297\/3 greater than or equal to 24835431?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 139 - 610 - 21*q**2 + 471.\nAnswer: -21*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 509487.\nAnswer: 3, 11, 15439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + (-32 - -25 - (3 - 25))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the second derivative of -41\/6*h**4 + 43\/20*h**5 + 0*h**3 + 14*h + 0*h**2 + 2. Find the third derivative of m(a) wrt a.\nAnswer: 258","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of (-174)\/2001 + 27142\/23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 6740, 13463, 20160, 26819, 33428, 39975, 46448, 52835?\n\"Answer: -2*j**3 - j**2 + 6740*j + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/109893003 and 119\/33300910.\nAnswer: 1098930030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -944 - 268*a**2 + 2*a**3 + 15558*a - 14510*a - 96 = 0. What is a?\nAnswer: 2, 130","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.19 + -2.81. Let v = -9 - -8.94. What is the smallest value in q, v, 0.3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 2 + 0)*(-8 - 1 + 1)*(-2*u + 3 + 0*u - 2) in the form h + a*u and give a.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -1929134.\nAnswer: 3\/1929134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78*m = 75*m + 54. Let l be (4\/((-16)\/(-9)))\/(m\/192). What is the highest common divisor of 36 and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 0 = o. Let q be (-1)\/(3*(-6)\/90). Sort -4, -5, o, q in descending order.\nAnswer: q, o, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*l, -3*z + 2*l - 5*l + 567 - 273 = 4*z for z.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 4*u + 118 = 0, 0 = 3*z - 4*u - 0*u - 86. Let c(o) = -5*o + z*o**2 + o**3 + 2 - 14*o**2 - 16*o**2. Determine c(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v**5 + 70*v**4 - 185*v**3 - 420*v**2 + 540*v = 0. Calculate v.\nAnswer: -2, 0, 1, 6, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-288)\/1536*((-15)\/(-3))\/(-5).\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -25034.027 + 25050. Let m = l + -15.9. What is m rounded to two decimal places?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-90)\/(-54))\/((-575)\/3450).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 41 - 19 - 21 + 10*l. Determine b(1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3c5 + -21?\nAnswer: -3e6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 462 is divided by 223?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*p + 29*p - 357 - 387 = 10*p for p.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -45456710 divided by 4545671\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1231?\nAnswer: 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-42)\/(-63)*6\/(-4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vjjtpctpjjpv. Give prob of sequence pp.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 103 is divided by 36?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**3 + 6*t**2 - 17*t - 6. What is the hundreds digit of j(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + 5*f + 8, -f = f. Suppose m*s - 823 = -3*x + 2*x, 3*s + 4*x - 1242 = 0. Suppose -4*g - s = -9*g. What are the prime factors of g?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*z**2 - 91354*z + 2290100.\nAnswer: -2*(z - 25)*(5*z + 45802)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, e: 5, r: 9, q: 3}. What is prob of sequence ey?\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -12.5, 314\/7, 2, 6?\nAnswer: 314\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -30*((-20304)\/20)\/(-6). Calculate the remainder when -1 - l\/33 - 62\/(-341) is divided by 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*g + 0*g - 4*g)*(0*g + 0*g + 2*g)*(-1148 + 177*g**2 + 1148) as n*g**4 + b*g**2 + f*g + x*g**3 + y and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -154, -302, -460, -634, -830, -1054?\n\"Answer: -d**3 + d**2 - 144*d - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 6072 + 305?\nAnswer: 6377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**3 - 9*i**2 + i + 1. Let c be h(7). Let w be 1\/(-3*3\/c). Let a = 33 + 37. Calculate the greatest common factor of w and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/(3\/34*(5 + -6)). Suppose -4*q - 124 = -456. Let c = q + b. List the prime factors of c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2498701 - 17.13.\nAnswer: -2498718.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -133432142 (base 5) to base 4\nAnswer: -2213213103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3456*l**2 + 3464*l**2 + 161*l**3 - 192*l**3.\nAnswer: -31*l**3 + 8*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 489 a factor of 6667515?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q + 48. What is the tens digit of g(-14)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + (-3 - 1 - -3 - -6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 4636*w + 119. Let b(j) = 2322*j + 55. Determine 13*b(m) - 6*h(m).\nAnswer: 2370*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 493*c + 4 - 295*c - 4 in the form s + b*c and give b.\nAnswer: 198","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3357 + 71740. What is the thousands digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 61 + 16 = 0. Let a(l) = 3*l - 18. Is 9 a factor of a(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1410778 to the power of 1\/3, to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1\/((-14)\/(-4)))\/(56\/392). Let k be (-30)\/(-20) + 1\/(q + -3). Suppose 3\/4*p - k - 1\/4*p**2 = 0. Calculate p.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37769 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7)\/98*0)\/(0 + -1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 401*g**3 - 18*g**2 - 5*g - 14. Let u(z) = -405*z**3 + 17*z**2 + 4*z + 14. Let p(t) = 5*u(t) + 4*y(t). What is the third derivative of p(a) wrt a?\nAnswer: -2526","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3231949.\nAnswer: 7, 461707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 2*d + 53958068. Suppose 246258068 = -3*w + d. What is w rounded to the nearest 1000000?\nAnswer: -64000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-27)\/18*(-4)\/45. Which is the biggest value? (a) d (b) -88\/3 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (56\/(-252))\/(21\/(252\/10)).\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 12) to base 16\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -1603, 0.05, -0.6, -8?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*p + 159 = -29*g, -107*p + 112*p - g - 15 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 5866 = 5*b, 6*b - 7*b - 5854 = -2*r. Suppose 3*s + 681 = r. Is s a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 170118 is divided by 8924.\nAnswer: 562","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 278 a factor of 48228684?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 - -5. Suppose 2*r + 4*j = -j + 18, 5*j - 2 = 2*r. What is the least common multiple of r and d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 0 + 5)*(2*z + 8*z - 8*z)*(-5 + 0 + 3) as v*z + d and give v.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Do 28023 and 28024 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - (-1 - -6)) + (-24 - -14)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3460\/15 - 4\/6. What is the common denominator of d\/(-15) + -1*(-1 + 0) and -28\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13274478947 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*z + 1204 - 1039 for z.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-2) + (-176)\/32.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 941 divide 9831568?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*s - 605 - 505. Suppose -4*w + 18 = -w - 5*n, 2*n + 6 = w. Suppose -2*o = -w*o + 76. What is the remainder when s is divided by o?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 3126240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - 8040 - 4864. Suppose a - 916 = 33*q. Calculate the highest common factor of 40 and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -57, -5, -4, 4 in ascending order.\nAnswer: -57, -5, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the second derivative of -2*k**3 + k**2 + k. Let s be (-1)\/(-31 + (-1953)\/(-62)). Determine p(s).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (-45 + 13\/((-156)\/(-216)))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 2*p**2. Let o(u) be the second derivative of -3\/2*u**3 + 0*u**2 + 0 + u. Determine l(o(a)).\nAnswer: 162*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*u + 6*u = 1088. Is 19 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1125.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 - 3\/(-18) - (-69)\/46. Factor 5\/6*t**2 - 1\/6*t**4 - z - 1\/2*t + 1\/2*t**3.\nAnswer: -(t - 4)*(t - 1)*(t + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8.68 + -3.672. Let i = d + -0.408. Round i to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (66 - 38) + 48 + -14\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in one tenth of a gram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(192)*3 + sqrt(192))**2 - (sqrt(192) - (3*sqrt(192) + 1))**2 - (sqrt(192) + ((sqrt(192) + 0)*-4 - sqrt(192)) + 4 + -4)**2.\nAnswer: -32*sqrt(3) + 5567","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1, 5, 676 in decreasing order.\nAnswer: 676, 5, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 7*l**2. Let s(d) = -2584*d + 1. Give p(s(m)).\nAnswer: 46739392*m**2 - 36176*m + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 2*h + 26 = 0, -4*h - 5 + 68 = 5*r. Let v be 6\/(-15)*(r + 16\/4). Let c(n) = -1 - 2*n + 5*n + 6 + 4. What is c(v)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that w**5\/3 + 4*w**4\/3 + 2*w**3\/3 - 4*w**2\/3 - w = 0.\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, 0.1, 117?\nAnswer: 117","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 49 - 1 = 0. Solve -8*m = -3*m + b for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 129?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16327.000009019 + -16327. Round i to 7 decimal places.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pgeegidw. Give prob of picking 1 d and 1 i.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/1040 and 131\/9227760.\nAnswer: 119960880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6277*i - 1240*i - 54279 + 24216 + 246654 = 0 for i.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.32699201 - 1.327. Round i to 6 decimal places.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 312\/(-91) - (-3)\/7 - -117. Suppose -s - 14 = 4*a. Is a <= -32?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 divided by -60?\nAnswer: -21\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 66 and -56316.6?\nAnswer: -3716895.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = o + 3*o - 152, 3*o + h - 106 = 0. Let t = -41 - -41. Suppose t = 5*r - r - 96. What is the greatest common factor of o and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -5*a**2 + 7*a. Let k(g) be the first derivative of -4*g**3\/3 + 3*g**2 - 9. What is -5*j(t) + 6*k(t)?\nAnswer: t**2 + t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*i**2 + 13*i**2 + 11*i**2 + 18*i**2 - 65*i**2.\nAnswer: -5*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1249, -2457, -3607, -4675, -5637?\nAnswer: -6469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**0)**(-44)\/(o**(1\/2)*o*o**(-10)\/o) assuming o is positive.\nAnswer: o**(19\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 13 = 5. Suppose 0*b + 2*v = b + 10, 0 = -4*v + q. Are -9 and b equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -46.27 + 46. Suppose 3*c = 194 - 164. Suppose 4*s + 2*m = 0, 0 = 8*m - c*m. Is s at least as big as j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 66, -5, -2, 4, 17?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11100000010001010 - -1110101?\nAnswer: 11100000011111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -5207?\nAnswer: 5\/5207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 t when two letters picked without replacement from trbbe?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -156 = -9*z - 246 for z.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**2 - 8*i - 7. Let s be z(-6). Suppose -2*g - 3*g + 387 = -3*m, -2*g = s*m - 161. What are the prime factors of g?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = u - z + 2, u - 2*z = -6 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -2*m. Let c(q) = q. Let h(k) = 20*k + 5. Let i(r) = -30*r - 8. Let f(d) = 8*h(d) + 5*i(d). Let l(b) = 12*c(b) - f(b). What is j(l(s))?\nAnswer: -4*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -6174 (b) 0.5 (c) 0.2 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 5, 31, 95, 215, 409, 695?\n\"Answer: 3*b**3 + b**2 + 2*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -53.564 and 3.7.\nAnswer: -198.1868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000055 to seven dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 10853 divided by 5\nAnswer: 10853\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 32? (a) -0.2 (b) 2 (c) 21\/2 (d) 747 (e) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 108017 by 4923.\nAnswer: 108017\/4923","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 + 1. Suppose 0 = 2*g - 15 + 91. Let s = 50 + g. Solve z = -3*z - m - s, -j*m - 18 = -z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3 and 470585597.13.\nAnswer: 470585600.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 19 in 195, 3\/7, 363?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-2 + sqrt(192))**2.\nAnswer: -1176 + 192*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27, 53, 79, 105, 131?\nAnswer: 157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/((-6120)\/(-32))*9\/(-2).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 60 + -61. Let d be (3\/(-2)*1)\/((-4)\/8). What is the units digit of d - (x\/3 + (-3848)\/39)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6498, -9205, -16554, -30867, -54466, -89673, -138810, -204199?\nAnswer: -288162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*z - 2*d - 14, -2*z = -d + 337 - 328 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 15*q**3 - 4*q**2 - 3*q + 5. Give p(1).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -2*c**2 + c. Let y(g) = g**3 + g**2. Let o(f) = -j(f) - 3*y(f). What is the units digit of o(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 78 + -94. What is the smallest value in 1\/3, i, -1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 41121\/14 + -2936. Find the common denominator of o and (-6)\/18 + 254\/(-120).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 g, and 1 e when three letters picked without replacement from gruwegeejgwwuu?\nAnswer: 27\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 1833114?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*g - 12*g = -57 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1537733.88 + -1988.\nAnswer: -1539721.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000035025 rounded to seven dps?\nAnswer: 0.0000035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000651 rounded to 4 decimal places?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -5524282.\nAnswer: 2\/2762141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1691 - 66*u + 30*u + 27*u - 130*u - 35*u wrt u.\nAnswer: -174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 - -157. List the prime factors of j\/9 - 4\/6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2381, 7152, 33029, 83422, 166503, 290444?\n\"Answer: 1362*l**3 - l - 3742","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*n - 946*n**2 + 199 - 199 - 2*n**4 + 59*n**2 to the form m*n**4 + a + c*n**3 + g*n + o*n**2 and give o.\nAnswer: -887","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*v - 2 + 6*v + 4*v + 4*v - 27*v**2 - 11*v to q + l*v + k*v**2 and give l.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 14053596629 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-40)\/6*(-609)\/9570*-132.\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -2*p**2 - 5*p - 3. What is y(-4)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 32 = 0, 0 = -2*h - 1212*f + 1213*f - 2 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16188080?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1674)\/(-112) - 12*(-2)\/(-64). What is the second smallest value in -4, -3, q, -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/10 + (-6)\/15. Let h(s) = -1 + 1 - 1 - 4*s + 0. Let z be h(p). Solve -5*g + 12 = -z for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*d + 1 - 1)*(-1 + 1 - d**2)*(d - 3 - 2 + 7) in the form i*d**4 + o*d + v*d**2 + g*d**3 + p and give i.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 361, 459, 719, 1219, 2037, 3251, 4939, 7179?\nAnswer: 10049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -913*o + 2*o**2 + 338*o + 575*o.\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -346 + 349. What is the nearest to -8 in -7, 1, s, -3?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 3*s - 20 = -4*g, 20 = 4*g + 2*s. Solve -k = 5*n + 18, 0 = -3*n + g*n + 5*k + 21 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 10 - 4*o + 11*o + 4*o + 3*o. Does 19 divide w(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 55 + -15 - (-4 - -26)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 33037*x**3 - x**2 - x + 1. Let s be c(1). Suppose s = 4*d - 12964. Round d to the nearest 1000.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) 0.9 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 36 + -33. Suppose -5*u = -5*z - 80 - 15, 97 = -5*z + i*u. Let r = z - -34. Calculate the remainder when 53 is divided by r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6016000 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 666 is divided by 66?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*i + 18590 = -0*i. Let h = i + 847. Factor -1\/5 + 2\/5*x + 3*x**h.\nAnswer: (3*x + 1)*(5*x - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 2 + 0 + 357*k**2 - k.\nAnswer: 357*k**2 - k + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.4 or -8574?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the second derivative of d**4\/6 + 46*d**3\/3 + 168*d**2 + 10618*d. Let x(b) = 0. Calculate b.\nAnswer: -42, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 63995 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*j**3 - j**2*v**3 + 5*j**2*v**2 + 1292*v**3 + 2 wrt j.\nAnswer: -9*j**2 - 2*j*v**3 + 10*j*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (-6 + 4 + -12) - 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 4*k**2 - 1259*k + 11238. Give d(9).\nAnswer: 231","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*((f**(1\/5)\/f)\/f*f*f)\/f)**(-6\/11)\/((f**0\/f*f)\/((f\/(f**27\/f))\/f*f)))**(-13\/3) assuming f is positive.\nAnswer: f**(17953\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 74 + -77. Let b be (-6 + 7)*-19 - (f - -1). Sort -4, -2, b in descending order.\nAnswer: -2, -4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**2 + b - 1. Let r(c) = -31*c**3 - 2*c**2 + 5*c - 6. Let f(o) = -5*m(o) + r(o). Find the third derivative of f(i) wrt i.\nAnswer: -186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -2*c**2 - 111*c - 1374. Calculate the remainder when 423 is divided by v(-34).\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + 2 - (12 - (-10 - (-40 - 11))).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -d (base 16) to base 15\nAnswer: -d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2*2\/4 + 4. Let v = -23811 + 23811.01. Sort -0.6, z, v in decreasing order.\nAnswer: z, v, -0.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07052 take away 14918645574?\nAnswer: -14918645574.07052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes before 1:31 AM?\nAnswer: 5:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(-10)*150\/(-45)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(192) + (sqrt(192) + sqrt(192) + -2)**2 + 3.\nAnswer: -56*sqrt(3) + 775","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t + 3. Let s = t + 20. Suppose -4*d = -7*d + s. What is the remainder when 13 is divided by d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.1, -0.1, -8, 8, -2\/27, -1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xhxhxxxhhx. What is prob of picking 1 h and 1 x?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**2 + 1. Let x(h) = -29*h**2 + 6. Let b(s) = -6*p(s) + x(s). Let v(l) = -l. Determine b(v(u)).\nAnswer: -23*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 6*m - 7*m. Suppose -m*c - 6 = 0, 4*v = 3*v - c + 96. What are the prime factors of v?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 975\/497 <= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**2 + 3*n + 6. Suppose 0 = -5*w - 2*i - 25, -3*w + 5*i - 14 = 1. What is the tens digit of p(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -171*j + 92*j - 45 = -94*j. Sort 2, -1, j, -14.\nAnswer: -14, -1, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -437 - -622. List the prime factors of d.\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(2\/60) - -8. Let w(v) = -7*v + 271. What is the remainder when 9 is divided by w(u)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 2 z when three letters picked without replacement from zznqqqqzqqqd.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -2*t + 5*l, t = 2*l - 0*l + 5. Let w be 1*(-7 + (t - 2)). Let q be w\/(-16)*(1 - 1). Which is the second smallest value? (a) q (b) 0.4 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 38*-3.6\nAnswer: -136.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 + ((-18081)\/(-120))\/(-7). Let u = j + 117\/5. What is the common denominator of -43\/14 and u?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 43\/2 (b) 5 (c) 3\/5 (d) -0.03 (e) 7 (f) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 111*c - 4*c - 26*c + 346*c + 111*c.\nAnswer: 538*c - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-17))\/(j*j**(-24)) assuming j is positive.\nAnswer: j**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104 = 5*d - 31*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/(-2)*152\/133?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*n**3 - 42*n**3 - 2 + 35*n**3 + 0 + 2.\nAnswer: -7*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 384 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5644102 + 7?\nAnswer: 5644111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -19 - -68. Let y = 50 - v. What is the fourth smallest value in -0.4, 2, -4, y?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5862310403 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 34 (b) 9\/17 (c) -4\/5 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1625 is divided by 74.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/8 - (-29 - 13271\/(-460))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 2*h - 64. Suppose -x - s + 5 = -0*s, -3*x - 2*s + h = 0. Let p(q) = -q**2 + 8*q - 5. Let d be p(x). Solve -d = f - 3 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 756 and 18196.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t + 1. Let k(n) = 8*n**3 - 6*n + 2. Determine k(c) - 6*p(c).\nAnswer: 8*c**3 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -113 + 20. Let i = -26 - d. Calculate the remainder when i is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -19 - -18. Is 294\/12 - c\/(-2) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1103160 and -250.\nAnswer: -1103410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -501 + 507. What is the third derivative of -9*f**6 + 33*f**q + 33*f**4 - 12*f**6 - 13*f**6 + 126*f**2 wrt f?\nAnswer: -120*f**3 + 792*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 279*y - 329*y - 150 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54*y + 176*y + 55*y.\nAnswer: 285*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-35)\/(-21)*(-18)\/5. Which is the nearest to 0.1? (a) -1\/7 (b) 8 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -2*s**2 + 47*s + 27. Let r be k(24). Let g(j) = 10*j**2. Let l(u) = 170*u**2. Calculate r*l(y) - 50*g(y).\nAnswer: 10*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4534?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -307 - -1149. What are the prime factors of f?\nAnswer: 2, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**3 - 12*z**2 - 750*z - 43. Suppose p - 5 = -3. What is the remainder when p is divided by g(-22)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -241*o - 5146 = -1290 for o.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -65, -125, -185, -245, -305, -365?\n\"Answer: -60*w - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.2 (b) 0.67 (c) 6 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -145*n**2 - 190*n**2 + 301*n**2.\nAnswer: -34*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 120*m + 100. Let t(f) = 7*f + 6. Let s = -299 - -302. Let w(c) = s*d(c) - 50*t(c). Let x(y) = -32*y. Give w(x(o)).\nAnswer: -320*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 98*b - 16. Let p(h) = 37*h - 6. Let n(g) = 8*p(g) - 3*w(g). Let a(s) = -952*s + 2. Determine n(a(t)).\nAnswer: -1904*t + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes after 4:11 AM?\nAnswer: 7:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -5 - 22*z - 88*z + 5*z. Is d(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 176, 339, 502, 665, 828, 991?\n\"Answer: 163*z + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 91349?\nAnswer: -1\/91349","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -123 + 48*x + 123 + (1 + 0 - 2)*(0 + 0 + x).\nAnswer: 47*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a litre in millilitres?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9765 is divided by 56.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 x when four letters picked without replacement from {x: 8, g: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/((-5)\/(-2))*10. Suppose -c*v = 20 - 240. Does 23 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/((-335)\/80 + 4). Is 1054\/(-8)*(q + 12) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.14 + -4.14. Which is the third biggest value? (a) t (b) 0 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 117455\/6 - 3055985\/156. Let g = 269\/39 + k. Let t = -6211\/294 - 100\/49. What is the common denominator of t and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**2 + 7*a - 5. Let i be w(-6). Let k = i + 13. Suppose z - 3*r - 66 = 0, 2*z = 3*r + k*r + 132. Does 30 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30780)\/558 + (-1795)\/(-11129)?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.5, 5, -8091, 0.4, -13, -0.13?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00938 to 4 dps.\nAnswer: -0.0094","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -203 - -206. Suppose -n + 17 = 5*t + n, -4*t - 3*n + 8 = 0. Solve -u*b + t*q = 2*b + 30, b + q = 4 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o - 45 = 4*o. Suppose -5*s = 7*z - 2*z + o, -3*s = -2*z - 6. Suppose 3*v = -2*y + 32, s = 3*y - 6*y + 2*v + 22. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 199 + -122. What is n rounded to the nearest 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -187, -189, -191, -193?\nAnswer: -195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 9*i**2 + 4. Let p(u) be the second derivative of u**4\/12 + 15*u. Determine a(p(m)).\nAnswer: 9*m**4 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 354 + 18*a - 1188 - a**2 - 18*a in the form r*a + y + m*a**2 and give y.\nAnswer: -834","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 8691, 17387, 26081, 34773?\n\"Answer: -r**2 + 8699*r - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16\/6)\/(-7 - (-230)\/30)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 1095*d + 38327. What is z(-35)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 22. Let y(n) = -n + 24. Give 3*g(q) - 2*y(q).\nAnswer: 2*q + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 12 = -4*o, -6*x + 2*x - 15 = -5*o. Let z be -1 + 1 + 3 + -5. Let l be (8\/10)\/(z\/(-5)). Solve x = l*n - 2 + 6 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 11*m**2 - 9*m*r - 365*r wrt m.\nAnswer: 22*m - 9*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}