diff --git "a/data/dm_maths/full_data_2/1677_11255.jsonl" "b/data/dm_maths/full_data_2/1677_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/1677_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is the next term in 2923, 3036, 3183, 3364, 3579?\nAnswer: 3828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -5314*h. Let v(c) = 1468*c. Calculate v(n(q)).\nAnswer: -7800952*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -197.96 - -197.9. Which is the biggest value? (a) -4\/15 (b) -12 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7463 and 38193.\nAnswer: 439","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6943 + -6873. Which is the second biggest value? (a) -0.05 (b) 0.3 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 143\/44 - (4 + 3)?\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1\/(-4))\/(1\/(-8)). Suppose -b*n = 2*r + 3*r - 1105, -5*r + 1085 = -2*n. Is 3 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 34*x - 4 + 1.\nAnswer: -34*x - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the second derivative of -a**4\/12 + a**3\/2 + 3*a**2\/2 - 3*a. Let h(l) = -l**2 + 3*l + 4. Let q(s) = -5*h(s) + 6*r(s). Determine b so that q(b) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 23*l**2 + 123*l - 84. Give m(-7).\nAnswer: 182","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 225515182 a multiple of 78?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 21005539 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wz when two letters picked without replacement from {q: 2, r: 2, h: 1, z: 1, c: 1, w: 2}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 4*p**2 + 7*p. Let u(h) = 13*h - 94. Let d be u(7). Let n(a) = 5*a**2 + 6*a. What is d*n(w) + 4*r(w)?\nAnswer: w**2 + 10*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -3*p + 2, 6 = -p + q + 3*q. Suppose -143 = -3*x + p*x. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 160529983 rounded to the nearest ten thousand?\nAnswer: 160530000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - 2*z - 23 = 0, -2 = -3*z - 14 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -39240983\/145 - -1355747\/5. Suppose -m - 530 = 2*a, m + 5*a + 549 = 7. Let o = m + q. Is o greater than or equal to 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(3\/8)*r**0*r*r**(-1)\/r**8 assuming r is positive.\nAnswer: r**(-61\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the second derivative of v**3\/2 - 21*v**2\/2 - 13*v. Let d be x(8). Solve -2 = d*b - r - 16, 0 = -4*b + 5*r + 37 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**2 + 2*i + 2. Let z be t(-3). Let r be 0\/(-2*(-2 - -3)). Sort z, 4, r.\nAnswer: r, 4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3411 - -1?\nAnswer: 3412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6)\/(sqrt(2)*2*1) - (sqrt(18)\/(sqrt(12)\/sqrt(2)) - 1*(sqrt(3) - sqrt(3)*-2)))**2 + 2.\nAnswer: 83\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -14*y - 4. Let d(q) = 12*q + 3. Let p(t) = 4*d(t) + 3*m(t). Let z(a) be the third derivative of a**5\/20 + 16*a**2. Give p(z(o)).\nAnswer: 18*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1199.5 * 88.1.\nAnswer: 105675.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 26.3 + -35. Let a = 0.05249 + 8.72051. Let k = a + l. Round k to 2 dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48383 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/(3213\/102))\/(-2).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.57? (a) -2 (b) 5 (c) 3 (d) -5\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1274651*q**3 + 4*q - 183090.\nAnswer: 7647906*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p = 2*c - 6, -3*p - 5 = -3*c + 2*c for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*t**5 + t**5 - 3*t**5 + (-t**3 - 3*t**3 + 2*t**3)*(5*t**2 - t**2 - 3*t**2) + (-15*t**3 - 2 + 23*t**3 + 1)*(0*t - 4*t + 2*t)*(3*t + t - 7*t).\nAnswer: 44*t**5 - 6*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 2\/7 (b) -0.3 (c) -2 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 65*b**3 + 5575*b**2 + 118635*b - 27675 = 0?\nAnswer: -45, -41, 3\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15 - -13.9. Let d = -8.4 + 10. Let s = d + m. Which is the smallest value? (a) 0 (b) s (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, s: 2, x: 4, e: 3, v: 2, n: 2}. What is prob of picking 2 v and 1 e?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_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: List the prime factors of 8191020000.\nAnswer: 2, 3, 5, 211, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 99707?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/3859, 0, -0.513?\nAnswer: -0.513","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 2*p**2 - p - 2. Let f be u(-1). Let o be f + (-4)\/50 - (-12 - -13). Which is the third biggest value? (a) -0.4 (b) o (c) -5 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1072308301.\nAnswer: 19, 41, 229, 6011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 8 (base 12) to base 13\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**3 - j**2 - 4*j - 5. Let y be p(4). Let h be (-5)\/(-18) + 6\/y. Let 1\/2*d**5 + 0 - h*d**3 + 0*d + 1\/2*d**4 - 1\/2*d**2 = 0. Calculate d.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 298a77 (base 11) in base 13?\nAnswer: 13403a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14842993 to the nearest integer?\nAnswer: 246","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17150?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77985 = 10*t - t. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13676.011 rounded to the nearest 1000?\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 19739.408 to the nearest 10.\nAnswer: 19740","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1852, -3702, -5550, -7396, -9240, -11082, -12922?\n\"Answer: j**2 - 1853*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (23 - 7 - 26).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -5*w + 3*i + 175, -w - 4*i + 54 = 0. Suppose 34 = 4*f - w. What is the least common multiple of f + (-2)\/2 + -2 and 18?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:19 AM and 9:49 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.023 and 28.06.\nAnswer: 28.037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 5*k - 11, -3*k + 729 = 2*u. Calculate the greatest common divisor of 99 and u.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.286 + 0.176. Let v = m + -0.89. Let t = -11.1 - -11. Which is the closest to v? (a) 2\/3 (b) 4\/7 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 53 - 62. Let x be 1 + 2 - 4 - c. Calculate the greatest common factor of x and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**3 - 78*q**2 - 77*q + 5. Give w(-77).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 28*w**3 - 4*w - 5. Let z(p) = 27*p**3 - 5*p - 6. Give -6*u(i) + 5*z(i).\nAnswer: -33*i**3 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**2 + 9*f + 7. Let z(i) = i - 13. Let v be z(6). Let l be w(v). Let k(x) = x**2 + 7*x + 5. What is the units digit of k(l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/16895860 and -9\/64?\nAnswer: 270333760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 7*k + 5*k - 5*k. Let o be 128\/68 + 4\/34. Let l(h) = 8*h**2 - 41*h**o + 18*h**2 + 14*h**2. Give t(l(i)).\nAnswer: -7*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/18610 in -0.4, -3, -0.1, -1, -2\/187?\nAnswer: -2\/187","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**2 + 10*d - 16. Let g be h(7). Suppose 0 = g*p + p. Let u = 2 - p. What is the greatest common divisor of 10 and u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the second derivative of o**5\/40 + o**4\/3 + 5*o**3\/3 + 4*o**2 - 97*o. Solve j(v) = 0 for v.\nAnswer: -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 58 - 57.68. What is k rounded to 1 decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5400*u**2 + 7845 wrt u?\nAnswer: -10800*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.034547 to 3 decimal places.\nAnswer: 0.035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 0*t**2 + 0 + 195*t**3 + t + t**2 - 183*t**3 - 1. Let j(a) = -a**2 - 2*a + 1. Let y be j(-2). Is v(y) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -6*v**3. Let o be (3 - 2)*(3 - 5). Let d(w) = 4*w + 3*w**2 - 4 - w**3 + 7 - w**2 - 3*w**2. Let r be d(o). Determine p(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2808356 a multiple of 139?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12388 - 29258. Let k be 4\/(-10) + z\/110. Round k to the nearest ten.\nAnswer: -380","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ydd when three letters picked without replacement from dddyddyd.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -19*s**3 - 18*s**3 + 25*s**3 + (-1 + 1 + s**2)*((-5 - 18 + 6)*(5*s - 4*s - 4*s) + 3*s + s - 2*s).\nAnswer: 41*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 417947320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 19359\/2 + -15322649\/1583. Let v = -101291\/66486 + w. Is v at least -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - -1. Which is the biggest value? (a) -1 (b) 4 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11.8 + 1.2. Let p = -1.3 - 11.7. Let f = p + o. Is 2\/9 at least as big as f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1033 - -c6?\nAnswer: 1119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4700 and 231240.\nAnswer: 1156200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 2987*r + 1550260. What is f(-519)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*y - 3039 = -855. Let c = -156 - y. Solve -r + 4*r - 6 = c for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11 - 20. Let d be 3\/u + (-12)\/(-9). Let r = -0.94 + 0.84. Which is bigger: d or r?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 2*x + 40 = 0, 3*x = 7*n - 63 - 7 for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 130617*a**5*p + a**4*p**3 - a**2*p**3 + 90*a*p**3 - 776*a*p**2 wrt a?\nAnswer: 7837020*a**2*p + 24*a*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -35.1943005 + -0.6866095. Let h = j - 0.02509. Let z = h + 36. Round z to two dps.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqiqqqqqqiqqqqi. What is prob of picking 2 q?\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**1)**42\/(u*u**(-6)*u**1))\/((u**(-6)\/u*u**4)\/(u\/(((u**(-2\/7)\/u)\/u)\/u)*u**(-6))) assuming u is positive.\nAnswer: u**(37\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 = -4*k - 5*y - 39, k = -4*y + 6. Let l(n) be the first derivative of -1\/3*n**3 + 5\/2*n**k + 9*n + 6. What is l(7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the first derivative of 0*b**6 + 0*b**4 - 22\/3*b**3 + 0*b + 0*b**2 - 16 + 0*b**5 - 17\/7*b**7. Find the third derivative of i(v) wrt v.\nAnswer: -2040*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 467 = -5*p, 3*p = -0*p + 4*s + 257. Which is the second biggest value? (a) -1\/3 (b) 0.4 (c) -0.2 (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1303?\nAnswer: 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -204988*-3.\nAnswer: 614964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1196 and 346501532.\nAnswer: 1196","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 48 + -46. Suppose -8*z + 29 = -6*z + o, i = -2*o. Suppose w + 3 - 1 = t, 2*t - 4 = 5*w. Solve t*k = -3*k - z for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 134888 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: Three letters picked without replacement from dord. Give prob of sequence odd.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 911 divided by 2.\nAnswer: 911\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -4*i - i**2 + 4*i. Let b be 4\/(-8)*-1*10. Let o(d) = b*d - d - d - d. Determine x(o(y)).\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0433651 to three dps.\nAnswer: -0.043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, 46 in ascending order.\nAnswer: -1, 0, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/(-44))\/((-20)\/((-7040)\/72)).\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*y = -18*y - 9. Let k = y + 139. What are the prime factors of k?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 - 0. Let s be w\/(-2)*(-24)\/(-18). Suppose 5*a - s = 28. Let b(z) = z**3 - 7*z**2 + 6*z. Give b(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(228)\/sqrt(300))**2 - -3*sqrt(95)\/sqrt(5)) + -4 + (-2 + sqrt(76) + 4 - sqrt(76))*-6.\nAnswer: -381\/25 + 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4018571 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 13) to base 2\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -97 + 95. Let s = -5.9 - -16.9. Let m = s - 11.6. Which is the third biggest value? (a) y (b) -0.5 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.59490466 to 5 dps.\nAnswer: 0.5949","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t = -5*h + 3*t + 143, 3*h + 4*t = 81. Let j(w) = -h*w**2 - 21*w**2 + 51*w**2. Let m(c) = 73*c. Determine m(j(r)).\nAnswer: -73*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 = -2*m - 42. Solve -m*n + 9 = 3*k + 21, -3*k + 6 = -n for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-31583)\/7 - (-9 + (513\/(-7))\/(-9)). Is -4509 at most as big as n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/7777875 and 71\/3111150.\nAnswer: 15555750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 76, 59, 34, 1, -40?\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -225 divided by 13.\nAnswer: -225\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9660?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 4180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91 is divided by 33.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a = 2*a + 2*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 324 + 31022?\nAnswer: 31350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 123603 is divided by 29627?\nAnswer: 5095","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the first derivative of a**4\/4 + a**3 - 2*a**2 - 2*a - 3. Let n be y(-3). Let q = -9 + n. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 4 and 6260.348?\nAnswer: 6256.348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the first derivative of d**6\/105 - d**4\/21 + d**2\/7 + d + 2. Let m(f) be the first derivative of j(f). Factor m(q).\nAnswer: 2*(q - 1)**2*(q + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6476 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*g - 63 = -23 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -47922 equal to -47960?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h**4 - h**4 - 2*h**4)*(-1 + 1 + h) + 0*h**4 + 0*h**4 - 2*h**5 + (-3*h - 2*h + 3*h)*(8*h**4 + 2*h**4 - 5*h**4).\nAnswer: -14*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 403, 813, 1225, 1639, 2055, 2473, 2893?\n\"Answer: x**2 + 407*x - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 362506 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 30993062, 30993063, 30993064, 30993065, 30993066, 30993067?\nAnswer: 30993068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:31 AM and 1:57 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 22.7 - 22.5. Which is the closest to -0.1? (a) -3 (b) -10 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-42)\/252)\/((-3)\/573246) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2951255?\nAnswer: 5, 590251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 + 568 = 2456*d - 2437*d for d.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes before 1:20 PM?\nAnswer: 9:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -3*r + 408, -5*r + 633 = 3*c - 39. Is r a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from coowomgoow. Give prob of sequence cw.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*6*sqrt(77)*2)\/(sqrt(35)\/(3*sqrt(125))) + -4.\nAnswer: -4 + 360*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -4*h - 112, x = h - 2*h - 36. Let w be 1\/(28\/x - -1). Let a(t) = t**2 - 6*t + 10. What are the prime factors of a(w)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -139, -1180, -4019, -9556, -18691, -32324, -51355, -76684?\nAnswer: -109211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -96, -192, -288?\nAnswer: -384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 3, y: 7, e: 2}. What is prob of sequence yvy?\nAnswer: 21\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is (14 - (10 + -3)) + (-93)\/6*-22844 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 116.3096 to 0 dps.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -291*a**3 + 148*a**3 + 150*a**3.\nAnswer: 7*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 43664310 to the nearest ten thousand.\nAnswer: 43660000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 96951.58ng in grams?\nAnswer: 0.00009695158","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 22904769551 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 653549 is divided by 257.\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**3 - 5*r**2 + 11*r + 4. Let d be o(-7). Suppose d - 16 = 3*h. Factor -2\/5*j**2 - 2*j - 6\/5 + 2\/5*j**h.\nAnswer: 2*(j - 3)*(j + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9 + 2*g**2 + 9)*(2 - 2*g - 2 + (-3 - 1 + 2)*(0*g + 2*g - g) + (-5 + 3 + 8)*(-3 + 3 + 2*g)) as w + x*g + t*g**3 + k*g**2 and give t.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lodllkxl. Give prob of sequence loxl.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -7*j**3 - j**2 + 3*j - 4. Let v(x) = -2*x**2 - 4*x**3 - 9*x**3 + 5*x + 483 - 490. Calculate -5*s(q) + 3*v(q).\nAnswer: -4*q**3 - q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.1 - -5.9. Let k = 5.6 - r. Which is the third biggest value? (a) k (b) -5 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1575074 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*a - 2*a - 4*a + 16159*a**3.\nAnswer: 16159*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27069 = -63*m + 27510 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 4*y - 2. Let x(a) = a**2 + 21*a + 19. Let o(d) = d + 1. Let n(k) = 2*o(k) - x(k). Calculate the remainder when n(-18) is divided by y.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4\/3, 212, 1211, 5?\nAnswer: 1211","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 1007 + 6 - 511 = -26*p for p.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1, 3, -369, 31, 2, -258 in descending order.\nAnswer: 31, 4, 3, 2, 1, -258, -369","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 129394435 and 115?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z + 4*i + 6, -16*z + 3*i - 3 = -18*z. Let a(j) be the second derivative of 0*j**2 + 1\/20*j**5 + 1\/2*j**4 + 3\/2*j**3 - z*j + 0. Factor a(h).\nAnswer: h*(h + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 9 = 159. Let b = l + 108. Suppose -8 = -2*v + b. Does 14 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 + 5*u**2 + 4*u + 1. Let o = -2176 + 2171. Calculate r(o).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes before 9:55 AM?\nAnswer: 4:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -31 + 20. Let r = -7 - v. What is the third derivative of 3*x**4 - x**r - x**2 + 3*x**2 wrt x?\nAnswer: 48*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -4*z**3 - 204*z**2 + 25. Calculate u(-51).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 28*m**4 - 27*m**5 + 113*m**4 + 321*m**3 + 170*m**2 - 59*m**2 - 42*m = 0. What is m?\nAnswer: -1, 0, 2\/9, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 4 + (-8 - -11)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 136824?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -250*y**2 + 15728 + 15727 - 47178 + 15723.\nAnswer: -250*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*f - 6*f - f as t*f + j and give t.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((-2*sqrt(324)*-3)\/sqrt(12))\/(1*sqrt(1296) + sqrt(1296) + (sqrt(9) - sqrt(36)\/(sqrt(16)\/sqrt(4))) + sqrt(9)).\nAnswer: 36*sqrt(3)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 596655 to the nearest integer?\nAnswer: 772","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 837263 is divided by 1133.\nAnswer: 1109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -13.7, -1\/3, -0.2, 7, 5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*q - 171*l + 176*l - 83, -5*l = -3*q - 104 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4436633?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 8*j + 12. Let o = -7904 - -47551\/6. Find the common denominator of o and j - (4 - 95\/(-30)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3\/(-2))\/((-3)\/(-52)). Let b = j - 3. Let i be -1 - (b + (2 - 1)). What is the highest common factor of 3 and i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from kknknkffkknk.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.5 - -0.4. Put 0.4, -0.4, z in decreasing order.\nAnswer: 0.4, z, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*x - 2*x**2 - x**3 + x**4 + 5*x**2 - x + x**4 to z*x**4 + k*x + r*x**3 + q + s*x**2 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 11*c**3 - 2*c**2 - 11*c + 66. Let q(b) = 5*b**3 - b**2 - 5*b + 33. Let l(x) = 9*q(x) - 4*z(x). What is the tens digit of l(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:34 AM and 10:47 AM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1659 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the second derivative of p**3\/6 - 8*p**2 + 15*p. Let a(i) = -i. Give a(b(v)).\nAnswer: -v + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 898, 1, -2, -16, 0, 9.\nAnswer: -16, -2, 0, 1, 9, 898","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 146016374 divided by 6348538\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9402, 7, 4 in descending order.\nAnswer: 9402, 7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 1 = x. Suppose 3 = -5*l + 5*m + 23, -m + 31 = 4*l. What is the remainder when l is divided by x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -337 in -0.5, -1, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of 0 + 0*m**3 + 0*m**5 + 0*m**2 + 1\/5*m**6 + 2*m + 1\/12*m**4. What is the third derivative of i(f) wrt f?\nAnswer: 144*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 348 - 292. Suppose -j*b = -53*b - 15. Solve -4*k = -5*o + 41, -5*k + 0*o - 5*o = -b for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2270, -2269, -2268?\n\"Answer: r - 2271","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in -0.3, -6224, 4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + 3*r - 144 = 0, 0*o + o + 2*r + 218 = 251 for o.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o + 15 - 13 - 40 - 2*o. What is the remainder when 21 is divided by m(-15)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4160062?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**3 - 4*f**2 - 3*f - 4. Let k be c(-3). What is the nearest to 1\/2 in k, 4, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/(-132)*(1 - ((-364)\/16)\/(-13)).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**2 + s + 2. Let v be c(2). Solve -g + v = g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -20 greater than -133?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 300110142 + 20?\nAnswer: 300110212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in seven halves of a millisecond?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -8*l + 152. Let j(v) = -2*v**2 - 42*v - 32. Let m be j(-20). Solve 12*y + m = l*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 70*f**2 - f - 1. Let g be d(-1). Suppose -w = w - g. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -620937 equal to -620939?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2 + 0 - 4)\/(-2). Suppose -5*s = 7 + c. Let f be (-20 + 1)*2\/s. Solve 0 = d + 4*a + f, -2*d - 2*a = 3*a + 23 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -22 - -10. What is the units digit of a\/20 - 233\/(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 10, 0, 1, 2 in descending order.\nAnswer: 10, 2, 1, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 11\/22 - 3\/(-2). Suppose -5*k + d = 45, 5*k + u*d + 29 = -1. Let c = k - -2. Let q(b) = -3*b - 3. Let g(m) = m + 1. Calculate c*q(z) - 17*g(z).\nAnswer: z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*s - 2*s = -7414. Let o = s - 338. Is o <= 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 132*y + 3. Let i be h(1). Suppose -102 = -3*z - 3*u, -2*z + 128 = 2*z + 2*u. Calculate the greatest common divisor of i and z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.0802 + 0.0802. What is the nearest to -1\/4 in -135, -1, f, 1\/6?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uxcxxuxxxuucxurrucu. Give prob of picking 2 u and 1 c.\nAnswer: 21\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqnn when four letters picked without replacement from {h: 8, q: 2, n: 4, z: 1}?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 5*s + 5 = 0, s = -y + 5 + 5. Suppose 2*g - 1799 = -3*i, 0 = i - 11*g + y*g - 613. What are the prime factors of i?\nAnswer: 3, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -2*d**3 - 19*d**2 + 4*d + 31. Determine q(8).\nAnswer: -2177","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**2 - 3*d + 2. Let s be z(4). Suppose 12*k = 3*k + 10395. Suppose 68*w - k = -9*w. Calculate the highest common divisor of s and w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 16 + g - 3*g + 3*g. Let o = -5 + -5. Is 5 a factor of m(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4.951 - 0.051. Let r = -5 + n. What is the nearest to 0.2 in 0.4, r, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 661 - 567. Suppose 73*f - v = 26*f. Solve -f*t + 8 = -4*k, 0 = -k + 2*k + 5*t + 2 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m**2\/7 + 400*m\/7 + 1616\/7 = 0.\nAnswer: -4, 404","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1082.6366 - 1083. Round d to 2 dps.\nAnswer: -0.36","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 160 + -1442\/9. Let h = 2 - 2. Which is greater: h or b?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 7*v**2. Let r(h) = h**2 + h + 1. Determine -2*r(i) + s(i).\nAnswer: 5*i**2 - 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-610)\/(-732) + 2\/(12\/49) + -2. Put w, 3, 97, 5 in decreasing order.\nAnswer: 97, w, 5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -378 - -5668\/15. Let s = 3958 - 3957. Which is the fourth biggest value? (a) -4 (b) -1 (c) s (d) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -330 = -16*d - 58. Let p = 13 - d. Sort p, 21, 4, -5.\nAnswer: -5, p, 4, 21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -3 - (4\/(-12))\/((-1)\/(-723))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*h - 3*h**2 + 2*h)*(-66 - 154*h + 66) as o*h**2 + d*h**3 + j + y*h and give d.\nAnswer: 462","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 6*g - 119 = 2*q, -3*g - 233 - 54 = -4*q - 14*g for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u*u\/(u\/u**(2\/39))))\/u)**33 assuming u is positive.\nAnswer: u**(-451\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1900)*-2)**2*-6*3.\nAnswer: -136800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**3 - 2*h**2 - 17*h - 21. Let z be n(6). Differentiate z + 0 - q + q + 157 + 134*q**3 with respect to q.\nAnswer: 402*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -175 - 114217?\nAnswer: -114391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16 - -12. Let p be -6*((-10)\/s + -3). Suppose -p*t + w + 39 = -2*t, -3*w = 3*t - 93. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (5\/(-4))\/((-18)\/24). Let g be 1\/(-3) + (-476)\/(-357) + -2. Let q be 0 + 0 + 2\/8. Which is the smallest value? (a) q (b) x (c) 3 (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 38*r - 12. What is v(-1)?\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 574523.019 minutes?\nAnswer: 56.99633125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4 + (-1025)\/(-10))*561050\/15. Let v be (19\/171 - m\/9) + 6. Round v to the nearest one hundred thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 252.9 from -228.\nAnswer: -480.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 122.\nAnswer: 488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -1995927.091 to the nearest 10000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1479660 and 56910?\nAnswer: 1479660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and 5116164.\nAnswer: 5116164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/132 and -95\/120072?\nAnswer: 1320792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1926, 1927, 1928, 1929, 1930, 1931?\nAnswer: 1932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5610 + -5551. Solve -45*n - r = 76 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -10*f**2 + 2*f + 2. Let n be x(2). Let l = 21 + n. Let j = -7 - l. Calculate the lowest common multiple of j and 20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 2 - 2 - 3*y. Let u(c) = -4*c**2 - 3*c + 3. Let v(x) = 7*x**2 + 5*x - 5. Suppose 26 = -4*a + 2. Let l(h) = a*v(h) - 10*u(h). What is l(s(j))?\nAnswer: -18*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 6, w: 7}. Give prob of picking 1 w and 1 e.\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.06 in 0.4, 0.5, 0.7, -3\/4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 595070 and 5695670.\nAnswer: 39869690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28)\/(-84) + 23*1\/3.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.13 + 44.87. Let o = c - 40. What is the fourth smallest value in -1\/5, 0.1, -2, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1442, -4584, -9864, -17282?\n\"Answer: -1069*c**2 + 65*c - 438","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**2 + 9*b + 44. Suppose -300 = -3323*f + 3298*f. What is r(f)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1570*f**2 - 2701*f**2 - 19702*f**2 as j*f**2 + r*f + s and give j.\nAnswer: -20833","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -25544, -102789, -231532, -411773, -643512, -926749, -1261484?\n\"Answer: -25749*c**2 + 2*c + 203","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -514483997*i**3 + 863802862?\nAnswer: -1543451991*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m + 6. Let v be u(5). Let c = 10 + v. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/40 and -77\/80.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 9466003 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 9175233031 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2565 - -6549. What is the greatest common divisor of 16 and n?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of ((-27756)\/(-15) - -1) + 138\/(-345)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3498*g**2*o**2*r + 32*g**2*o*r - g*o**2 + 28*o**2*r + 2*o*r - o + 6*r wrt g?\nAnswer: -6996*o**2*r + 64*o*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 22807945 plus -0.3915?\nAnswer: 22807944.6085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -46 - 10*g + 2 + 7*g + 19*g wrt g.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -x**3\/4 + 2842183*x**2\/2 + 5684369*x + 5684370 = 0.\nAnswer: -2, 5684370","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -2*x**3\/5 + 40728*x**2\/5 - 207305514*x\/5 - 414773956\/5 = 0?\nAnswer: -2, 10183","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2714552*h - 2714552*h + 344*h**2 + 732*h**2.\nAnswer: 1076*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.010275877 rounded to 2 dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-255)\/(-25) + -12)\/((-2)\/10). Solve -40 = w*p + p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1483dd2 (base 14) in base 9?\nAnswer: 20730187","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 6407650*a. Let x(p) = -6*p. Give x(s(r)).\nAnswer: -38445900*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -51933 + 2?\nAnswer: -51931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a kilometer in centimeters?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 1003*m + 19052. Calculate g(-19).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 264 - 324. Let i be (r\/105)\/((-2)\/175). What is the highest common divisor of 50 and i?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -185*y - 63*y**2 + 185*y.\nAnswer: -63*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 208 + -180. What is the remainder when 45 is divided by t?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 139 divide 621120805?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 + 1. Suppose 2*s - 3 = 3*d, h*s + 5*d = d - 4. Solve s*u = -u + 5 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7193.9 + 7194. Which is the nearest to z? (a) 0.7 (b) 4 (c) 6 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*a**5 + 24925*a**4 - 521215*a**3 - 24925*a**2 + 521220*a = 0. Calculate a.\nAnswer: -1, 0, 1, 21, 4964","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -7988878 divided by 3\nAnswer: -7988878\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4147, -16609, -37387, -66481?\nAnswer: -103891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62 = 4*o - 290, -4*w - 2*o = -5*w - 117 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 8*y - 6, -3*k - 125 = 5*y. Let f = 43 + k. Is -40\/13 >= f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + 3. Let a be 10\/4 - (-6)\/12. Solve 35 = -a*l - s*o, -l + 0*l = o + 10 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/2 + (-50)\/(-20). Let m = 181 - 186. Sort -2, s, m, -4 in descending order.\nAnswer: s, -2, -4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/25 of a meter?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(2736) + sqrt(2736)*-3 + -1 - sqrt(2736))**2 + -5)*-3*-1.\nAnswer: 648*sqrt(19) + 221610","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**3 + 5*q**2 + 8*q - 7. Let g(o) = 22 - 5 + 17 + 10 - 2*o. Let f be g(19). Give a(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 - 5. Suppose -y*p - 3*k = -96, 240 = 5*p - 0*k + 5*k. What is the greatest common factor of 6 and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 163716717?\nAnswer: 3, 1201, 45439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 16 in -4, 2\/5, -1\/7?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*q**2 + 2510172*q\/5 + 753048\/5.\nAnswer: 4*(q + 62754)*(10*q + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, c: 1, y: 4, p: 1, i: 4, s: 3}. Give prob of sequence gc.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (1 - -3)) + 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 38.9 - 39. Let q = -0.7 + 0.6. What is the closest to h in q, -5, 2\/3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 2*c**3 - 12*c**2 + 13*c + 8. List the prime factors of o(7).\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3248 < 3260?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (7 - 13)*(-17)\/2. Suppose 2*o - b = -o. What are the prime factors of o?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.778 - 0.088. Let g = 0.11 + p. Let w = 1.5 - g. Is w at most -0.05?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 406 - 418.85. Let o = -12 - i. Round o to 1 decimal place.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 18647986*x**5 - 29819867*x wrt x?\nAnswer: 372959720*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 351140 is divided by 117038?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 6*i - 2. Let x be a(1). Suppose -2*y = -x*y + 8. Solve -r = -y*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 322770 and 90.\nAnswer: 968310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 78 and 104.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -11100001 (base 2) in base 7?\nAnswer: -441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7391*r + 3630*r + 1218*r.\nAnswer: 12239*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, -3\/7, 4\/3, 0.5, -137\/2, 6?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -351*h + 6331. Determine t(18).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is 0 less than -137091?\nAnswer: -137091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 8849620123 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ain when three letters picked without replacement from {n: 2, a: 2, i: 1, l: 1, o: 1}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = f - 3. Let m(u) = 40*u**3 - u**2 + u - 1. List the prime factors of m(f).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**2 + 22*h - 3. Suppose 14*g - 15*g + 18 = 0. Let z be y(g). Suppose 4*r - z - 355 = 0. What is the tens digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 150 + -149.6. Let d be (-2)\/(-2) + 981\/36. Let u = 28 - d. Sort x, u, -2\/7.\nAnswer: -2\/7, u, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 796 (base 16) to base 13.\nAnswer: b65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 494, -1532, -44 in ascending order.\nAnswer: -1532, -44, 494","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 38\/5 or 0.36?\nAnswer: 38\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i - 413535 = 161865. Round i to the nearest ten thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z = -z - 6485 + 6517. Let h = -16 - -30. What is the nearest to 3 in h, z, -0.2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3414 + -3410. What is the second smallest value in 2, 0, 41, p?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5785269 and 105.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6*b**2*w + 5172*b*w**2 - 283*b - 11388*w**2 + 1498 wrt b?\nAnswer: -12*b*w + 5172*w**2 - 283","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -120.9 - -113.9. What is the closest to w in 1\/10, 0.06, 5?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -110553.99 to the nearest 10000.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.12791 + 159\nAnswer: 159.12791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17 - -6. Let d(z) = 13*z + 11. Let l be d(v). Let r be 3\/9 + l\/(-9). What is the greatest common factor of 75 and r?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59 = -12*p + 23. Let v = 104 - 98. Sort v, 5, p, -2 in increasing order.\nAnswer: p, -2, 5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/105)\/((-36)\/126)*-27.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*h**3 + 28917*h**2 - 28917*h**2 + 5*h**3.\nAnswer: 10*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 113437 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10 by 11.\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q = -5*w + 27, 36265 = -4*w - 4*q + 36281 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 136 and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(132) - ((-2*(2*sqrt(132) + sqrt(132)) - sqrt(132)) + sqrt(132)))*-6)\/((-1*sqrt(300) - sqrt(300))*-1))**2.\nAnswer: 4851\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 4*l**3 + 6 - 3*l**3 + l**2 + 2. Is 8 a factor of k(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q - 73 - 77. What is the greatest common divisor of q and 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 14*l - 11*l - 28 = 0, -20*i - 3*l = -172. Solve i*a = -61 + 21 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 26*y**2 - 50*y**3 - 28*y**2 - 11*y**3 to the form o*y**2 + d*y + w + b*y**3 and give b.\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 146 or 152\/7?\nAnswer: 152\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes before 2:05 AM?\nAnswer: 9:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1507, 1524, 1541, 1558, 1575, 1592?\nAnswer: 1609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 4*h - 5. Give w(4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the third derivative of 0 + 0*b**5 + 0*b**3 + 0*b - 13*b**2 - 3\/40*b**6 + 5\/24*b**4. What is the second derivative of g(k) wrt k?\nAnswer: -54*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-28)\/4)\/(((-90)\/(-18))\/5).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 3*q**5 + 1464288*q**4 + 5857122*q**3 + 8785668*q**2 + 5857107*q + 1464276 = 0.\nAnswer: -488092, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 28703*i - 5626.\nAnswer: 28703","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -610.46 + 621. Let c = -10.539483 + w. Round c to four decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**3 + 48*z**2 - 92*z + 230. What is j(46)?\nAnswer: 230","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 7093*s. Let c(p) = 2*p**2. Calculate c(q(w)).\nAnswer: 100621298*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4557128506.\nAnswer: 2, 7, 23, 599, 23627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1*97054*-1*-2. Let l = -562140 - q. Let d = 258032 + l. What is d rounded to the nearest one hundred thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 416218, 416280, 416342, 416404?\nAnswer: 416466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*o - 323*o + 16*o.\nAnswer: -315*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, -0.12, 3, 1, 4\/7, -6.6 in increasing order.\nAnswer: -6.6, -0.12, 4\/7, 1, 3, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**2 + 2. Let c(x) = 3*x**2 - 106 - 18*x**2 + 139. Let s(r) = -2*c(r) + 33*q(r). Let b(d) = -6*d. Give b(s(n)).\nAnswer: 18*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s - 6*s + 3*s = 0. Let g(c) = -c + c**2 + 13 - 23 + 20. Is g(s) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52543 to the power of 1\/2, to the nearest integer?\nAnswer: 229","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -35811*g*t**2 - 8*g*t - 3718*g wrt t.\nAnswer: -71622*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ld when two letters picked without replacement from jyjjwjldllj.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 55*i + 93. Calculate the remainder when w(4) is divided by 29.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeyeeeee. What is prob of picking 2 e and 1 y?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 115\/66 and 91\/48.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2262 + -252?\nAnswer: 2010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 550673 + -550672.8. Let v be 43\/126 - (-2)\/(-7). Which is the second smallest value? (a) v (b) 0.5 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1231, -1187, -1113, -1009?\n\"Answer: 15*n**2 - n - 1245","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 512 - 517. Let c(r) = 4*r**3 - 22*r**2 + 44*r - 22. Let u(q) = -8*q**3 + 43*q**2 - 88*q + 43. Let k(m) = s*c(m) - 2*u(m). Factor k(f).\nAnswer: -4*(f - 3)*(f - 2)*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 1276 = 4*r + r, -r = l - 255. Does 32 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-28)*-3)\/(162\/324)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 145442706 to the nearest integer?\nAnswer: 12060","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/20738 and 13\/22.\nAnswer: 228118","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - 3 - ((8 - 8) + -1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 7369 = -2*f, 4*f - 255*t + 251*t = 14768. What is the tens digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.17766 to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the second derivative of -l**4\/12 - l**3\/3 - l**2\/2 - l. Suppose 3*u - 2*u = 2*m, -4*u - 5*m + 52 = 0. Suppose -3*x = -x + u. Determine q(x).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:22 PM and 7:50 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*m - 31*m + 2*g + 16 = 0, -3*m - 3*g - 9 = 0. Solve 2*b + 13 = 2*f + 9, -m*f + 13 = b for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13 and 23519873?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2062297?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 4 = 3*n, 10 = 4*w + w. Suppose 4*s - 2 = 2*h, -5*s - 17 = 6*h - n*h. Let b(u) = -u**3 + 9*u**2 + 21*u + 5. Let j be b(11). Sort j, -4, s.\nAnswer: j, -4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2577, -5312, -8047, -10782, -13517, -16252?\nAnswer: -18987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the third derivative of -g**8\/840 + g**7\/525 + g**6\/60 + g**5\/50 + 8*g**2. Suppose h(z) = 0. Calculate z.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4552.\nAnswer: 2, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 70 = -238. Suppose 7*n = 2*n + 110. What is the remainder when o is divided by n?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15 + 39. Suppose -y*f = -31*f. Let x(n) = f*n - 8*n + 4*n + n. Let b(g) = -6*g**2. What is b(x(t))?\nAnswer: -54*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that h**3 + 21327*h**2 + 113142960*h - 6056633300 = 0.\nAnswer: -10690, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -4*a**2 + 18*a - 6. Let v be f(4). Let y(r) = -8*r**v + 105*r - 105*r. Let x(d) = 2*d**2. Calculate y(x(n)).\nAnswer: -32*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3677911 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the third derivative of v**8\/2520 + 3*v**7\/140 + 5*v**6\/54 - 197*v**3\/6 - 139*v**2. Let t(j) be the first derivative of m(j). Factor t(f).\nAnswer: 2*f**2*(f + 2)*(f + 25)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**3 - 3*w**2 - 2*w - 4. Suppose a - 2*a = -1, -4*l - 1 = -a. Suppose l = -2*t - 0 + 2, u + 7 = 4*t. Determine m(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**3 + 2*n**2 - n. Let v(t) = -t**2 - 2*t - 3. Let u be v(0). Let z be s(u). Let w(j) = -6*j - 9. List the prime factors of w(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*p - 12. Let g be (9 - -1)\/(2\/10). Suppose 0*m + p*m - g = 0. What is the remainder when 17 is divided by m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 415099 and 302?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1016852?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1904301 and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times 17.3?\nAnswer: -51.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63*y + 28 + 33 - 84 + 21.\nAnswer: -63*y - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2962121946.\nAnswer: 2, 3, 7, 283, 249211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1605, -3, 1, 5 in increasing order.\nAnswer: -1605, -3, 0, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -111\/14 and (116710\/9720 - 12)\/(24\/(-78))?\nAnswer: 27216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 971713471 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*g - 5*g + 2*g)*(-5*g**2 + 9*g - 9*g) - 3*g - 2*g**3 + 3*g + g.\nAnswer: -12*g**3 + g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 14995 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 202*t - 204*t + 6 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the second derivative of q**5\/60 + q**4\/6 + q**3 + 3*q**2\/2 - 4*q. Let r(o) be the first derivative of y(o). Calculate r(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5+3805116\nAnswer: 3805111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -3381*p + 20893. Give h(6).\nAnswer: 607","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-19)\/266 - (-2)\/(28\/(-41)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z**2 - z**2 - z**2)*(3 - 2 + 1) + (6*z + 3*z - 5*z)*(3*z - 1 + 1).\nAnswer: 10*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6039 is divided by 336.\nAnswer: 327","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.05049 and 0.3.\nAnswer: 0.015147","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9338*k**2 - 4625*k**2 - 8772*k**2 - 476*k**3 + 475*k**3.\nAnswer: -k**3 - 22735*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 0.5, 12, -0.2, 6\/7 in increasing order.\nAnswer: -0.4, -0.2, 0.5, 6\/7, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -89*t**3 + 13094*t**2 + 75638669?\nAnswer: -267*t**2 + 26188*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20302 (base 4) to base 7.\nAnswer: 1432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-1*sqrt(1620) - sqrt(1620))*-1)\/(sqrt(120)\/(sqrt(12)*-2) + sqrt(450)\/sqrt(5)).\nAnswer: -216*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**3 - s**2 - 5*s + 2. Let a be u(3). Let c(z) = z + 5. Let t be c(-5). Solve -w + t*w = a*g - 16, -2*w + 11 = 3*g for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*a - 88 = 18*a. Is a a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyyy when four letters picked without replacement from {y: 16, x: 4}.\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 211 + -416. Which is smaller: -204 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**3 + 9*b**2 + 33*b - 10. Determine m(-8).\nAnswer: -210","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(1\/21)*r*(r\/(r\/((r\/r**(2\/13))\/r))*r)\/r)**(-4\/15) assuming r is positive.\nAnswer: r**(-976\/4095)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 330559 times 0.5\nAnswer: 165279.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5\/2*(-38)\/95. Let l be (-4 + 2)\/(d\/17). Factor -2*y**3 + y**2 + 4*y - 18 - 15*y**2 - l*y.\nAnswer: -2*(y + 1)*(y + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 16590824?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2237 a factor of 201902736?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.6871 + -589.\nAnswer: -589.6871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -0.1, 87, -0.2, 4.\nAnswer: -0.3, -0.2, -0.1, 4, 87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -2*w**2. Let f(n) = -434*n - 11. Calculate f(s(r)).\nAnswer: 868*r**2 - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1.2 * 0.0801\nAnswer: -0.09612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**2 + 3*g + 2. Let n be v(-1). Let w(k) = k - 2 - 1 + 4 - 2. Let l(b) = b - 2. Let q(i) = n*w(i) + l(i). Let x(y) = -y**2. Give x(q(o)).\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6852710?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -9, -20, -4, 3 in decreasing order.\nAnswer: 3, -3, -4, -9, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 187802 is divided by 3229.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 179 = -5*k, -4*k - 2*d + 0*d = -152. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in two fifteenths of a day?\nAnswer: 192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 142580, 285237, 427894, 570551, 713208?\nAnswer: 855865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 1\/7 - 1\/7*t - 1\/7*t**2 + 1\/7*t**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*q**2 - 2 + 1 - 2*q**2 + 2*q**4 - 3*q + q**2 to the form d*q**2 + a*q**3 + s*q + c + p*q**4 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 198499530 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 198*x - 2*x**3 - 394*x + 196*x.\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -1387961\nAnswer: 5\/1387961","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -655390705 bigger than -655390705?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 226202777 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 39566761 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (26 - 72) + 20 + 46?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 5 = 3*r - f, r - 2*f = 6. Solve -j + r*j = j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 12\/(-4) + 13*-1. Let t be (-3)\/(6*4\/y). Solve t*i = 2 - 10 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13*u**5 + 256*u**4 + 2450*u**2 - 3.\nAnswer: 780*u**2 + 6144*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -2*z + 6*z - 58, 49 = -3*j - 5*z. Let m = -16 - j. Factor m*d + 4\/3 + 0*d**2 - 2\/3*d**3.\nAnswer: -2*(d - 2)*(d + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, l: 2, r: 4, g: 5, e: 1}. What is prob of picking 1 g, 2 b, and 1 e?\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -13*j + 3. Let v be h(-5). Suppose -2*b = -6*b + 8. Suppose 0 = -b*q + 4*u + 9 + 5, u = -3*q + 56. What is the highest common factor of q and v?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6652 + 9919. What is the remainder when n is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2884 and 38202185.\nAnswer: 721","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-392)\/84*(-36)\/294?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 30 * 21615.1\nAnswer: 648453","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -h**3\/3 + 140*h**2\/3 - 4900*h\/3 = 0.\nAnswer: 0, 70","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78*t - 45*t - 1 + 1.\nAnswer: -123*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + 177. Let f = 43 - 40. Suppose -j - m = -f*j. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -919*o**2. Let q(j) = j. Give f(q(h)).\nAnswer: -919*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -84.86543 - 0.13457. Which is smaller: r or 2\/9?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in ten sevenths of a week?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1272628 by -5.\nAnswer: -1272628\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(-3) + 34\/(-3). Let p = n - -5. Is (-78)\/(-4)*(-8)\/p a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59841000 rounded to the nearest 1000000?\nAnswer: 60000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11234057?\nAnswer: 1259, 8923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*i + s + 6 - 18, 2*i + 5*s - 14 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3116 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52*f + 47*f - 96*f.\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 12*s - 38. Let b be u(4). Suppose -5*k**2 + 14*k**3 - 25*k - 2*k**2 - 3*k**2 + 11*k**3 + b = 0. What is k?\nAnswer: -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -8 and 11?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 6726 = 2*x - 6738, 5*b - 2 = -x for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (104253\/(-16461))\/((2\/9)\/((-24)\/9))\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 167166283 is divided by 3613?\nAnswer: 3612","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 788*d - 790*d = -798. What is the hundreds digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the first derivative of -1\/20*y**5 - 1\/4*y**2 - 33 + 0*y + 1\/12*y**3 + 1\/8*y**4. Solve s(w) = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*k + k + 10. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/12 + 7\/(-42). Suppose c = 7*g - 2*g - 6300. What is g rounded to the nearest one hundred?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence egcw when four letters picked without replacement from ggbgwecwew?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 295 (base 11) to base 10\nAnswer: 346","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uvt when three letters picked without replacement from avtuvuxxuaaauauuaax?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -158*v - 18 = -a - 155*v, 4*a - 4*v = 32. Factor -4*o - 4\/3 - 11\/3*o**2 + 1\/3*o**5 - 1\/3*o**a + o**4.\nAnswer: (o - 2)*(o + 1)**3*(o + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17269 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 7*h + 3. Let o(c) = -c**3 + 11*c**2 - 12*c + 16. Let d(q) = 14*q - 32. Let a be d(3). Let l be o(a). Calculate s(l).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -239*j + 3504. Let c(b) = 130*b - 1753. Determine -11*c(l) - 6*y(l).\nAnswer: 4*l - 1741","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**3 - 10*w**2 + 10*w - 9. Let f be k(9). Solve 5*b - o - 19 = f, 2*b + 2*o = -2*o + 12 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -183 - -121. Let c = b - -99. Suppose 39*y = c*y + 12. Is 2 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(540) - -1*sqrt(540)*1)\/sqrt(12) - (3 + -2*sqrt(245)*-5 + 4)**2.\nAnswer: -24549 - 974*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (o**2 + o - o)*(o - 2*o**2 - o) + (5*o**3 - 6*o**3 + 13*o**3 + 2*o)*(-1 + 2*o + 1) in the form n*o**3 + i*o + m*o**2 + r + u*o**4 and give m.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1631 + 4424. Is 8 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 2*i + 1. Let b = -40 - -34. Determine r(b).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -454 - -456. Let f be (g\/8)\/((-23)\/(-4876)). What is the greatest common divisor of f and 106?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 + -10 + 6 + -12 + (-14 - 0)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 23*s**2 + 7. Let g(i) = -5*i. Determine x(g(m)).\nAnswer: 575*m**2 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/(-48)*-4*3\/46?\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, 2, 4, 9 in descending order.\nAnswer: 9, 4, 2, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 45*i**3 - 24*i**2 + 49*i - 11. Is w(7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 3*f. Suppose -127 + 37 = -3*v. Let r(u) be the first derivative of -v*u**2 - 1 + 27*u**2 + 5. Determine l(r(x)).\nAnswer: -18*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x + 1. Let l be f(1). Let h(m) = -m**2 + 4*m + 197. What is the hundreds digit of h(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4403044013 (base 5) to base 3.\nAnswer: -122201211111202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*(u\/u**(3\/5)*u)\/u*u**(-1\/31)*u)\/(u\/u**4*u)**(1\/16) assuming u is positive.\nAnswer: u**(3091\/1240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 - 361 = -3*y. What is the highest common divisor of y and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y + 270 = 282. Suppose -3*v = -o + 161, -v = o - 0*v - 165. Suppose 6*f - y*f = -o. What is f rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 21*b**3*j**3 + 7*b**3*j*t**2 + 3*b**3*t**2 - 4*b*j**3 - b*t**2 + 5*j**2*t**2 + 6*j*t**2 wrt j?\nAnswer: 126*b**3*j - 24*b*j + 10*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97*c - 78*c = 34*c - 63*c + 3212 for c.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 23 - 112 = -4*t, 0 = 3*t + 2*v - 97. Let m = t + 11. List the prime factors of m\/4 - (2 - 0\/1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = r - 3*b, 8*r + 22 = 10*r + 3*b. Solve 0*j + 4*o + r = j, -5*j + 2*o = -4 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -18) + (22 - (-46 + 72)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0 and 1688.\nAnswer: 1688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 2 - 1. Solve 5*t + g*m + 0*m - 3 = 0, 2 = 2*m for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, -5, -63?\nAnswer: -63","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*a - 18*a - 20*a)*(10 + a - 10).\nAnswer: -46*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand j**2 - 2*j - 4*j**2 + j + (4*j - 4*j + j)*(j + 0*j + 0*j).\nAnswer: -2*j**2 - j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -909272.47947976 - -8968.97947326. Let b = 900304 + w. Let d = b + -0.5. What is d rounded to 6 decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.3, 4\/7, -3\/5, 214?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 12) in base 3?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2366?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**11\/l**(-36) assuming l is positive.\nAnswer: l**47","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 5 = 2*u, -3*s = u - 16. Suppose 2*n - f = 14 + 7, -2*f = -s. What is the least common multiple of n and 2\/(-2*1\/(-2))?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -345? (a) 0.4 (b) -2\/37 (c) -2\/17 (d) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 534 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, k: 1, i: 1, t: 1}. Give prob of picking 2 o and 1 i.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2 - 7) + 1*2. Let b be 4\/(-3)*(-6)\/4. Let f = b + w. Sort f, -3, -5.\nAnswer: -5, -3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00009679084 rounded to five decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-3)\/(-9))\/((-1)\/2). Let m = -45 - -40.7. Let l = m + 4. What is the smallest value in -1\/8, l, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + -3. Let a = -0.15 - 0.35. What is the third smallest value in -4\/5, a, o?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ljg when three letters picked without replacement from {l: 5, j: 4, a: 7, g: 2}?\nAnswer: 5\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4634 divided by -2.\nAnswer: 2317","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(1\/4)*m)**(-31)\/(m**(1\/2))**(-11))\/(m**(-5)\/(m*m**(-3)*m)*(m**(-4\/3)*m*m)\/(m*m**(-1\/5))) assuming m is positive.\nAnswer: m**(-3607\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that i**3\/6 + 43*i**2\/6 - 71*i\/3 - 92\/3 = 0.\nAnswer: -46, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/148064 and 31\/212960.\nAnswer: 985365920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -4 (b) -6 (c) -0.1137 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 13 - 4 = 0, -5*x - 11 = 2*g for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes after 1:04 PM?\nAnswer: 2:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 379 + -217. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 7 - 56 - -49?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c + 40 + 29. List the prime factors of c.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 509598?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 47152 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -82.2274 + 0.3674. Round s to the nearest ten.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 divided by -5\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 6023140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*w + 10*w = -75. Suppose -p - w*p + 160 = 0. What is the highest common divisor of p and 230?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 160.9233 years to millennia.\nAnswer: 0.1609233","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 231, 839, 1831, 3201, 4943?\nAnswer: 7051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r**2 - 4048*r - 8112 = 0. Calculate r.\nAnswer: -2, 1014","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -185 - -175.02. Let j = 45 - 35. Let s = j + d. Does s = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 119 to the power of 1\/3, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9\/4, 3, -0.8, -0.66, -2 in descending order.\nAnswer: 3, -0.66, -0.8, -2, -9\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1625, -3359, -5093?\nAnswer: -6827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 11577, 11540, 11485, 11412, 11321, 11212, 11085?\n\"Answer: -9*d**2 - 10*d + 11596","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/5? (a) 44\/15 (b) 3\/4 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -598949\/2168121 + -3\/17627. Let k = n - 844\/2583. Find the common denominator of -19\/15 and k.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.3 and 876.1639.\nAnswer: 876.4639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 109978301?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -4*o + 221. Let j(t) = t**2 - 3*t + 1. What is j(z) - m(z)?\nAnswer: z**2 + z - 220","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 1 - (454 - 458)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 119530*i**2 + 7*i + 24. Let a be n(8). Suppose 0 = 5*u - 20*u - a. What is u rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*q**5\/7 - 561*q**4\/7 - 2144*q**3\/7 - 2301*q**2\/7 - 62*q + 288\/7 = 0. Calculate q.\nAnswer: -2, -1, 1\/4, 144","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11 + 7. Suppose l = 5*m - 12. Calculate the remainder when 11 is divided by m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes after 8:22 AM?\nAnswer: 5:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/11 or -5.325?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 13*n**2 + 1. Let y be w(1). Suppose -2*x = 2*a - 0*x - 2, -4*a - y = -2*x. Let b be (-3)\/(a - 74\/(-4)). What is the biggest value in b, 1, -0.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12121 + 300123211?\nAnswer: 300201332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 - (0 - 1)) + -5 + 9. Suppose -3*t + 209 = -f*v, -181 = -3*t - 3*v + v. Is t a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45 + k - 47 + 138 - 46.\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 569447.\nAnswer: -5\/569447","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.026811367 rounded to 5 decimal places?\nAnswer: 0.02681","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 3983?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40473902 divided by 3598.\nAnswer: -11249","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 - 5. Let z(t) = -3*t + 103. Let d(s) = s**3 - 6*s**2 - 5*s + 24. Let g be d(7). Let v be z(g). Which is the second biggest value? (a) n (b) v (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1486 and 53244866.\nAnswer: 1486","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20523015 (base 6) to base 7.\nAnswer: 5055053","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73*r - 69*r = -156*r. Solve 52*u - 39*u - 52 = r for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/o**(4\/23))\/(o\/(o*o*o\/(o\/((o**(-10)*o)\/o)))))\/((o\/((o*o**(4\/5))\/o)*o)\/o*(o*o**30*o)\/o))**(-44) assuming o is positive.\nAnswer: o**(199232\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*z**4\/3 + 172*z**3\/3 + 18*z**2 - 172*z\/3 - 32\/3 = 0 for z.\nAnswer: -1, -2\/11, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3317 + 3. What is the thousands digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -23 - -50. Calculate the common denominator of ((-32)\/(-3))\/(y\/18) and 22\/5.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**2 + 28*c - 59. Let h be w(24). Let v = -0.965 - 0.035. What is the nearest to h in v, -5, -4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6a06 (base 15) in base 14?\nAnswer: 82b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the third derivative of 0*t - 13\/60*t**5 + 0 + 1\/120*t**6 + 18*t**2 - 5\/2*t**3 - 17\/24*t**4. What is the tens digit of y(15)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1453847 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -8059, -5, 3\/2, -2\/5, -2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 193 a factor of 1875065831?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.4 (b) -3\/7 (c) -6\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.12565465 + 170.45348535. Let q = g - 171.979. Let d = -1.4 - q. What is d rounded to 4 dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -2*m**3 + 12*m**2 - 3*m + 13. Let k be b(-13). Suppose k = 2*g + i - 1046, -5*g + 18807 = -i. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2273 is divided by 1091.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -655476 divided by 655476.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 877 is divided by 80.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, t: 1, z: 6, g: 4, b: 1}. What is prob of sequence te?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + -37 + 25 + -8.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + v - 6 = -v, -3*v = 4*z + 26. Let a = 25 + z. Let g be ((-8)\/a)\/(1\/(-250)). What is the highest common factor of g and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 o, and 1 f when three letters picked without replacement from xhyxhhyhhfqxxhoy?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 96974.47 rounded to the nearest one hundred?\nAnswer: 97000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -4040*x - 565563. What is v(-140)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 4590?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**3 - 8*v**2 - 19*v - 12. Give k(10).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 minus -291285822?\nAnswer: 291285822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*y**2 - 127*y**2 - 58*y**2 - 244*y**2.\nAnswer: -445*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * -3.78\nAnswer: 1.512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1*6\/(-18))\/3. Put u, -1, -1\/7 in decreasing order.\nAnswer: u, -1\/7, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*w - 40*w + 53 = 44*c + 213, -55 = -4*c + w for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2a8 (base 12) to base 2.\nAnswer: -110100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -215*v**2 - 330*v**2 + 13*v**2 + 0*v + 3*v + (-2 + 2 + v)*(-2 + 2 - 2*v).\nAnswer: -534*v**2 + 3*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53*d + 23*d + 26*d.\nAnswer: -4*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1664863 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 10204 - -2?\nAnswer: 10206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 409*c**3 + 5*c**2 - 3*c - 3. Calculate the smallest common multiple of 4080 and t(1).\nAnswer: 4080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/4982203 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -248310, -496620, -744930, -993240, -1241550, -1489860?\n\"Answer: -248310*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 + -6. Let l = 219845\/1799 + 278\/257. Let k = 123 - l. Which is the fourth biggest value? (a) i (b) -2 (c) 1\/2 (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 - n**2 + 5. Let m be p(0). Suppose -m*k + 88 = -k. Calculate the highest common factor of k and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.29321 less than -2384.2?\nAnswer: -2383.90679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 - -5. Let z = -7 + g. Let l = z + 2.94. Round l to two dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8)\/108*-24 + -2. Which is smaller: 1 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -48 (base 9) in base 11?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.469 + -0.031. What is the biggest value in 1\/3, i, -10?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -22*o**3 - 12*o**2 - 2*o + 12. Let x = 7 - 4. Suppose 4*h = -x - 45. Let q(g) = 4 - 5*g**2 - g + 3*g**3 - 12*g**3 + 1. Determine h*q(k) + 5*n(k).\nAnswer: -2*k**3 + 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1dcdd0 (base 14) to base 16\nAnswer: -105efa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 297 and -101070.\nAnswer: -30017790","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1325110 or 18551557\/14?\nAnswer: 18551557\/14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 410 and 82.\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30070 is divided by 485.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1803 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4\/97 (b) -432 (c) -14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that l**5\/4 - 2070805*l**4\/4 - 6212421*l**3\/4 - 6212423*l**2\/4 - 517702*l = 0.\nAnswer: -1, 0, 2070808","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 10942561?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8244 and 165348076.\nAnswer: 916","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1055\/((-15)\/(-10) + -2). Is t != -2107?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 49 - 42. Let n(x) = -31*x**2 + 8*x - 31. Let m be n(u). What is the remainder when (m\/(-12))\/(-3)*2*-1 is divided by 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 - -8. Let m = 8 - y. Suppose -m*b - 3 = -18. Solve -3*z + 2*a + 3 = 0, 2*z + z + 2*a = b for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -15, -2, 3 in decreasing order.\nAnswer: 4, 3, -2, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and -18548855?\nAnswer: 18548855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -141*f*g**3 - 2*f*g + 2*g**3 + 169*g wrt g.\nAnswer: -846*f*g + 12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 756 is divided by 176?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 9*q**2 - 544*q - 760. Let j be y(62). Let s(r) = r**2 + 2*r - 7. Let g be s(-5). What is the highest common divisor of j and g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + 16. Suppose -5*u + j = -u. What is the smallest value in u, 3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22170 is divided by 4433?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -4*a + 13 + 38, 2*a - 24 = -4*l. Suppose a*s = 12*s + 20. Solve q = -4*c - s + 27, -8 = -q - c for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s = 3*g + 3, -600*g + 3*s + 5 = -602*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -499616?\nAnswer: -3\/499616","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 - 12*x**2 - 4*x + 70. Let d be q(12). Solve -4*t + 2*r - d = 4*r, -5*t + 4*r = 21 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4545305 (base 6) in base 3?\nAnswer: 102210002012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lpi when three letters picked without replacement from pplpxlolglxoiloplool.\nAnswer: 7\/1710","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 4*w - 582441 + 582441. Let o(j) = 3*j - 1. Give -2*h(t) + 3*o(t).\nAnswer: t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (7 - (2 + 19) - -7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/190297352 and -39\/27185336.\nAnswer: 190297352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5)\/(0 + 2\/2). Let l = 0.2 + -0.3. Suppose 3*d - 432 = 3*m - 435, -5*m - 7*d = -29. Put m, k, l in descending order.\nAnswer: m, l, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.042*-9727789.\nAnswer: 408567.138","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2651435?\nAnswer: 5, 83, 6389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*g + 4*f, 4*g + 0*f = f + 6. Suppose 0*c + g*c - 24 = 0. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 715607 is divided by 2064.\nAnswer: 1463","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 4*d + 56 = 0, 8*d - 88 = -4*x + 12*d. Find the first derivative of 61 + 12 + 43 - x + 98*m**4 - 15 wrt m.\nAnswer: 392*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes after 11:29 AM?\nAnswer: 12:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5904*z + 5855*z + 392 = 0 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-19)\/(-2))\/((5\/(-10))\/((-57)\/57)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -c + 3*c - 2*m, -m - 14 = 2*c. Let b(g) = g**2 + 43*g - 429. Let o be b(8). Put 5, c, -2, o in decreasing order.\nAnswer: 5, -2, c, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h**2\/5 - 14*h\/5 = 0. What is h?\nAnswer: 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*k**5 + 52*k**4 + 54*k**3 = 0. What is k?\nAnswer: -1, 0, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -6.47 at least as big as -34316?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 7*q + 108. What is the remainder when 83 is divided by r(-12)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 531767135\/7 or 75966735?\nAnswer: 75966735","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -0 - 1. Let d be (9\/6)\/(j\/(-2)). Solve -d = -4*v + 5 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -12 + -15?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -285 (b) 4 (c) 350\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-14)*(430 - 339)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 - -48. Suppose -2*y + 7*y = r. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -99, 4, 5, 45790 in decreasing order.\nAnswer: 45790, 5, 4, -99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the second derivative of -s**3\/6 - 12*s**2 - 10*s. Let f be g(-11). Let c = f - -14. Is c less than or equal to -2\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 3*g = -1071, -2*g + 1354 = 4*m + 268. Round m to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 98*y**3 + 101*y**3 - 356*y**3.\nAnswer: -157*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 465*q**2 + 11*q + 12. Calculate the remainder when f(-1) is divided by 59.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*-2733241.\nAnswer: -19132687","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i - 13. Let j be u(-8). Let t be (j\/(-15))\/(1\/18). What is the derivative of 13*d + t*d + 1 - 30*d wrt d?\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13, -6, 1, 8, 15?\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 198 = 5*p + 7, 123 = 3*p + a. Calculate the greatest common factor of p and 70.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (47530\/(-3395))\/((-4)\/18).\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the first derivative of 15*t**2\/2 - 47. Let v(j) be the second derivative of 5*j**3\/6 - 26*j. What is v(p(h))?\nAnswer: 75*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the second derivative of d**5\/20 - d**4\/24 - 10*d**3\/3 + 17*d. Let k(g) be the second derivative of a(g). Let y = -6 - -7. Give k(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-5)*-5*-3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -313 + 319. Let s(m) be the third derivative of 1\/30*m**r + 0 - 1\/30*m**5 + 0*m**4 + 2*m**2 + 0*m**3 + 0*m. What is the third derivative of s(i) wrt i?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-7 + 5)*(-13)\/(-1). Suppose 0 = -4*s - 5*w + 69, -75 = -9*s + 5*s - 3*w. Let o = s + i. Put 0, 1, o in increasing order.\nAnswer: o, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the third derivative of c**4\/6 - 4*c**3\/3 + 5*c**2. Let a = -2514 + 2520. Let u(v) = -3*v + 7. What is a*u(i) + 5*l(i)?\nAnswer: 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*t = -17*t + 144. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6 and 236790?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13492a (base 12) to base 13.\nAnswer: -b2432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 4, a: 1, p: 4, e: 2, z: 5}. What is prob of sequence ppze?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**3 - 14*z**2 + 15*z + 40. Let k be a(12). Suppose -2*g = -7*g - 40. Let v = g - k. Is v a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 416 divided by 32.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2393 + -4773. Let n = -1655 - t. What is the hundreds digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the first derivative of -c**2 + 13. Let j be d(0). Solve 3*t - 1 = -4*l + 4, 3*t - 3*l + 30 = j for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*z - 326902 + 326582 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 865253?\nAnswer: 865253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2629\/3 or 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 12*m + 120. Determine r(-10).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1663475+-1.797037\nAnswer: -1663476.797037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 45 - 75. Let z be (-7 - 222\/d)\/((-1)\/(-20)). Sort 2\/9, 2, z in descending order.\nAnswer: z, 2, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - g = 4*o - 38, -3*o = -5*g - 31. Put 3, o, 5, -16 in decreasing order.\nAnswer: o, 5, 3, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 962997 is divided by 742?\nAnswer: 623","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 + -34 + 15 + 37?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-six fifths of a micrometer in nanometers?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes before 2:02 PM?\nAnswer: 5:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 1400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000591862 rounded to 5 decimal places?\nAnswer: -0.00059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 22? (a) 43\/5 (b) 0.5 (c) -2\/5 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 7976 - 1700 = 2*l, -2*l - 12588 = -4*i. Is 10 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 2*k. Let q be l(1). Which is the second biggest value? (a) 2\/177 (b) q (c) -1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 371564?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -803923601*z**3 + 283583883*z.\nAnswer: -4823541606*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/7 not equal to -2285?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(1\/(2 + -2 + 3)). Let a be 24\/9 - n\/(-9). Solve a*j + 5*u - 5 = 0, -j - 1 = -5*u + 4 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 124*w**2 - 3 + 127*w**2 - 255*w**2 + w - 10*w + 3*w**3 - 4*w**3 + 8*w. Suppose 0 = 3*r - 4*r - 4. Determine i(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2509 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1634410*h**5 + 108*h**2 - 5966*h.\nAnswer: -98064600*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 114 and 2318.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.28 - -0.02. Let z = m - 0.6. Let p = 18.48 + -15.48. Which is the closest to 1\/3? (a) p (b) -1 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the first derivative of 4*g**5\/5 + g - 5. What is the derivative of l(w) wrt w?\nAnswer: 16*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88227\/21 + 8\/(-28) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.1 + -3.7. Let c = m + 4. Let j = -0.8 - c. Which is smaller: j or 0.2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20518708?\nAnswer: 2, 7, 19, 38569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 16472595691 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -3, 9*h - 179 = -k + 8*h. Suppose 0 = -2*b - 3*b + 80. Calculate the highest common divisor of b and k.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.14 - 5.14. Let c = 2.2 - 0.2. What is the closest to p in c, -0.4, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 6, v: 4}. Give prob of sequence dv.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -56565 + -460?\nAnswer: -57245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -7*k**3 + 17*k**2 + 9*k - 15. Let w(c) = -3*c**3 + 8*c**2 + 4*c - 7. Let s(f) = -4*a(f) + 9*w(f). Is s(-3) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 27, 26, 5 in descending order.\nAnswer: 27, 26, 5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5867*w - 255570 = 2652*w for w.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -36 - -23.9. Let f = -17 - v. Let g = f - -5. Which is the nearest to -0.1? (a) g (b) 5 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -193 * -0.1.\nAnswer: 19.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 300 divided by 100.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sum 65.3 and -69.9.\nAnswer: -4.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1060.921 - -1061. What is v rounded to 3 dps?\nAnswer: 0.079","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 350 = -260. Let w = 127 + x. Solve -4*n + 0*t = t - 19, -n = w*t for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/((-4)\/(-16)*-21)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the third derivative of u**6\/120 + u**5\/60 + u**4\/24 - u**3\/6 - 18*u**2. Let k be a(0). Which is bigger: -4 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b**4 + 576*b**3 - 14576*b**2 + 102144*b = 0 for b.\nAnswer: 0, 14, 16, 114","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8567 + 8562 + 8561 - 3*a**3 - 34529 + 8839.\nAnswer: -3*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 - 44435a?\nAnswer: -44435c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-774)\/(-903)*(-14)\/15\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2110530 and 330.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 + -17 + 7 - -36) + 32 + -44?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the first derivative of -7*g**2\/2 - 5*g + 7. Differentiate b(i) wrt i.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 + -6. Suppose -j = -5*g + 122. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2570534 is divided by 1285252?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -1587*r**2 + 42838*r + 292. Give i(27).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 12 = -5*y, 4*y - 8 = y - 2*p. Suppose 7*t - 2*t - 5 = y. What is the closest to 0 in t, 2\/5, -6\/7?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wuw when three letters picked without replacement from {m: 4, w: 6, u: 2}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*s - 190 = 62 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 11645?\nAnswer: 1\/11645","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 56259*n**2 - 14*n - 16. Is o(3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4109083 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1454 - 2?\nAnswer: 1452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -114 + 101. Let i(f) = -2*f**3 - 22*f**2 + 6*f + 3. What is the tens digit of i(s)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 309089*q**5 - 42*q**4 + 2*q**3 + 5544020*q.\nAnswer: 6181780*q**3 - 504*q**2 + 12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -289 - ((-4)\/(-16))\/(1\/4). Let k = d + 331. Which is smaller: -1 or k?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -59 - -414\/7. What is the third smallest value in u, -4, -2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.316? (a) 12 (b) 0 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*u + 123 + 9 = 0. Let x(n) = -4 - 4*n**2 + 3*n**2 - u*n - n + 3*n. Let c be x(-8). Solve 0 = o + 3*d + d + 16, 4*o - 16 = c*d for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11.039 + 0.039. Which is greater: 1\/3 or x?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -15884*c - 47663. What is i(-3)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 451*h - 496*h - 495 for h.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/496713 and 149\/56420.\nAnswer: 129145380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 464051 * -52.\nAnswer: -24130652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.4 * -2.600549.\nAnswer: -8.8418666","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the first derivative of -b**2 - 9*b + 380. Let q = 12 - 18. Give p(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u + u - 4*u)*(1 - 6 + 74) - u - 4*u + 3*u + (0*u - 4*u + 3*u)*(-1 - 1 - 1).\nAnswer: -137*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.761749 months in millennia?\nAnswer: 0.00148014575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/2 - 1\/2. Let u(k) = k + 29. Let m(r) = -r**2 - 8*r - 6. What is the remainder when u(q) is divided by m(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 167 - 167 - 2*i**2. Let g(o) = o**2 - 10. Determine a(g(u)).\nAnswer: -2*u**4 + 40*u**2 - 200","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 7*l**3 + 213*l**2 + 19*l - 25. What is the tens digit of h(-19)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2 - (-3)\/(-3)) + 11. Let h = i + -15. What is the units digit of (0 - 1)*h*1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12 + -17. Suppose 3*a + 2*a - 5 = 0. Let f be ((-2)\/3)\/(40\/60). Sort a, f, u.\nAnswer: u, f, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2 + 14\/10)\/(1658\/4974). Determine l so that -3\/5*l**3 - 189\/5*l - 243\/5 + o*l**2 = 0.\nAnswer: -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 22 - 19. Suppose 5*v - 340 = -k, 4*v + n*k = 210 + 73. Let f = 192 + v. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s**4 - 2*s**4 - 3*s**4)*(-6*s - 6*s - 10*s) + 4*s**5 - 3*s**5 + 0*s**5.\nAnswer: 111*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mqqdmqdqrdqqqmdqqrdq. What is prob of picking 1 m, 1 d, and 1 q?\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, 3\/5, -4\/33, -2\/17, -32, 0.5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 120*s**2 + 3626*s + 9. Give r(-31).\nAnswer: 2923","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 106 (base 10) in base 3?\nAnswer: 10221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -153356 by 153356.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3280 to the power of 1\/4, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -2*o**2 + 83*o - 830. Determine y(13).\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 42631 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -27 - -17. Let v be (-8)\/b*105\/14. Solve l = v*l + 15 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**2 - 6*h + 13. Let a be u(3). What is the remainder when 19 is divided by 3\/((-12)\/22)*(2 - a)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.046867 and -11.56?\nAnswer: 0.54178252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -315 or -312?\nAnswer: -312","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 26*p + 3*p + 116. Let t = -6 + 10. What is the closest to t in 4, 0, p?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24352 divided by 6088.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (b - 8*b - b)*(1 + 7 + 0)*(-1 + 3 + 0) as d + o*b and give o.\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -18557080 divided by -215780?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 2*n = 0, -4*y - 2*n + 12 = -0*y. Suppose -w + y = 3*k, 3*k = -0*k + 3*w. Let d(q) = q**2 + 7*q + 6. Let u be d(-4). Is u greater than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 58 - -22. Let r(b) = 9*b - 16. Let s(w) = -w + 9. Let z be s(5). Let a be r(z). Calculate the greatest common factor of u and a.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -9*p + 423. Let l be h(47). Suppose -d - 6*j + 3*j + 23206 = l, -2*j + 92874 = 4*d. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(2\/7)*r)**(-12\/13) assuming r is positive.\nAnswer: r**(-144\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5348 + 4525.6. Let o = j + 822. Let m = -8 - -7.7. Which is the second biggest value? (a) 6 (b) o (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2271.2779 - -1059?\nAnswer: 3330.2779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 457 is divided by 149.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/26610 and -91\/150.\nAnswer: 133050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13964 + -13899. Solve -x = 10*k - 85 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 - -2. Suppose -3 = r + 30. Let j = r + 37. Solve 0 = -2*i - 2*p + j, 10*i - f*i + 6 = 3*p for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31995\/9243 + 6\/(-13).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (968\/12)\/(8\/12)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t\/(t*t*t**(-1)))\/t)\/t*t*(t\/t**8*t*t)\/t)\/(t**(-1)\/t**(2\/19)))**13 assuming t is positive.\nAnswer: t**(-1456\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -r - 246 + 13*r**3 + 485 + r**2 - 238 as d*r + y*r**2 + n*r**3 + c and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 599 a factor of 1698863434?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/1155111 at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5220 divided by -2610.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 6*n - 32. Let g be p(10). Solve 5*w - 9 + g = k, 4 = -w for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 + -6. Let i be 13 + (-1 - v\/3). Solve 0 = -2*x + 5 - i for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(4*(sqrt(119) + sqrt(119)*1) - sqrt(119))\/(sqrt(84)\/sqrt(3)).\nAnswer: 14*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -7*m**2 + 164*m + 18. What is the remainder when b(23) is divided by 32?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.1 - 5.1. Let q = p - -4.99999. What is q rounded to 5 decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**2 + 4*d - 17. Let u be f(-7). Let m(z) = -3*z + 4. Let v be m(u). Let h = v + 0. What is the smallest value in h, 1, 2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**3 - 3*b**2 - b - 2. Let l be s(-3). Let m be (8 - (5 + 4))*0\/(-2). Which is greater: m or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -74\/759 and 98\/3795?\nAnswer: 3795","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 40, 83, 126, 169, 212?\nAnswer: 255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 137*m**2 + 160*m**2 + 19*m**2 + (-10 + 4*m + 10)*(2*m + 2*m - 2*m) as c*m**2 + r + p*m and give c.\nAnswer: 324","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14.1 - -13. Let v = -1 - g. Which is the third smallest value? (a) -0.3 (b) v (c) 5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t + 6597. Let y(f) = -2*f**2. What is r(y(l))?\nAnswer: -2*l**2 + 6597","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -34002010 (base 5) to base 10.\nAnswer: -297130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-2)*-15 + 72\/1200*25?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-6)\/(-108))\/(-1 - 9\/(-12)). Let q = -0.03 - -0.43. Which is the second smallest value? (a) z (b) q (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 31b + -8be8?\nAnswer: -88cd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -69*p**3 + 3*p**2 + 6*p + 4. Let o be d(9). Round o to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2106640736?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 68551*o + 68559. Determine j(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**2. Let y(j) = 145*j**2 - 1. Calculate v(y(m)).\nAnswer: 21025*m**4 - 290*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 6*f**2. Let r(p) = -p + 2. Let i(m) = -2*m + 3. Let c(g) = 4*i(g) - 6*r(g). What is c(n(v))?\nAnswer: -12*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = 3*u + 31, -3*u + 35 = -5*g - 8*u. Let o be (-6)\/(-5) - (-80)\/100. Let k(i) = 4*i - 7*i**2 + 10*i**2 - 2*i**o - 7. What is k(g)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -75*f**3*z**2 + 35*f**3*z + 4*f*z**3 + 31*f*z**2 + 189*z wrt z?\nAnswer: -150*f**3 + 24*f*z + 62*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 58043608057 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -2, -1\/5, -0.1, 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1441043, -1441054, -1441065, -1441076, -1441087, -1441098?\nAnswer: -1441109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7322981 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 18, w: 1}. What is prob of sequence nnn?\nAnswer: 16\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (13352\/(-32))\/(6\/(-72)). Round v to the nearest one hundred.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 + (-2 - -10))*2\/(-3)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -3\/5 (b) 1 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 + -1)\/(-16 + 15). Solve c = a + 4*a + 15 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -1\/300?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**37\/(m\/((m*m\/((m**(9\/4)\/m)\/m))\/m))*m\/(m*m\/(m*m*m\/m**15*m*m))*m*m**(-2) assuming m is positive.\nAnswer: m**(99\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -29 - (1 + (-28 - -14)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z + 29 - 32 - 74)*(z - 4*z - 2*z).\nAnswer: 10*z**2 + 385*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 531333.1cm?\nAnswer: 5313.331","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/((x*x*x**(-7)*x*x*x)\/x)*x\/(x**9\/x))**32)**(-4\/9))**9 assuming x is positive.\nAnswer: x**384","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 533563889?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 5*l + 2*y, l = -0*l + y + 3. Let p = l + -3. Suppose q - 3 + p = 0. Solve -5*o - q*g = 0, g = o + 1 + 6 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 394?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the first derivative of -9*y**2\/2 - 9*y - 10. Differentiate h(p) with respect to p.\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 0*x = -2*h - 62, -x - 3*h + 19 = 0. Let s = 22 - x. Let m(p) = p**2 + 7*p + 22. What are the prime factors of m(s)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37060 divided by 37.\nAnswer: -37060\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most 6867\/8789?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z**2 + 2630*z + 18165 = 0. Calculate z.\nAnswer: -519, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 698*j**2. Let p(n) be the first derivative of 2*n**2 + 10462. Determine l(p(z)).\nAnswer: 11168*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1\/12, -9.3, -0.2, -5, 146 in descending order.\nAnswer: 146, 3, 1\/12, -0.2, -5, -9.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3674112591?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 10 + -264?\nAnswer: -254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 15\/(-20) - 1\/(-4). Let z = -4.4 + 4.3. What is the second smallest value in z, q, -1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 3*x - 2. Let b be 3*(1475\/(-15) - -3). Let y = -284 - b. Calculate the smallest common multiple of y and w(3).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35217 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: Calculate 173 divided by -1.\nAnswer: -173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i - 5130. Let y be m(0). Suppose -2*s = 6, 4*o + 16622 = -3*s + 2353. Let b = o - y. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -795082*1.\nAnswer: -795082","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, w: 1, h: 2, i: 1, r: 1, l: 2}. What is prob of sequence zzwh?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Total of 994 and 0.3.\nAnswer: 994.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.07 (b) 3 (c) -0.36\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -31 + 30 - (3 - (-3 + -2 + 26))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -61*c**2 + 36*c**2 + 33*c**2 + 2*c**3 wrt c?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.249339 + -128.25.\nAnswer: -128.000661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5928 = -239*a + 258*a. Is 1865\/6 at most a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from iiiaaaiiiiaaiiiiai?\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53070447.\nAnswer: 3, 17, 1040597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, 1\/4, -2, 1\/124908, 0 in descending order.\nAnswer: 1\/4, 1\/124908, 0, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3032 + 2?\nAnswer: -3030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -17*p**2 + 8*p - 8. Let b(f) = 11*f**2 - 5*f + 5. Let d(m) = -8*b(m) - 5*q(m). Let h(r) = 7*r. Give h(d(i)).\nAnswer: -21*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1002?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -257*r**4 - 1470*r**3 + 518 + 495*r**3 - 239*r**4 + 489*r**3 + 488*r**3 wrt r?\nAnswer: -1984*r**3 + 6*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23971 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cfx when three letters picked without replacement from kxpxxfffkfkkkcx?\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3720708 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -494 + 493.999990094. Round k to 7 dps.\nAnswer: -0.0000099","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 0*w - 82 = 4*w, -h - 4*w - 116 = 2*w + 131 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + 10 - 7) + -3 + -1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4054 + 24377\/6. Find the common denominator of n and -49\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -36555*a - 32844*a + 127972*a - 33232*a - 3*a + 2*a + 0*a + (3 + 0 - 1)*(-3*a + 0*a + a) - 2*a + 3*a + 0*a + 3*a + a - 2*a as h + k*a and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the third derivative of b**5\/10 - 7*b**3\/3 + 98*b**2. Let m(g) be the first derivative of n(g). Let a(r) = -7*r. Determine a(m(t)).\nAnswer: -84*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 11147 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35940543.\nAnswer: 3, 11980181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * 56.\nAnswer: 16.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 309*u - 613*u + 308*u. Let i(y) be the second derivative of y**3\/2 + 7*y + 3. Calculate l(i(n)).\nAnswer: 12*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*s + 11 = -13. Solve t - 3 = -c, s*t - 12 = -0*t - 4*c for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h\/h**(-2\/47)*h*h**(1\/14)*(h\/(h**(1\/2)\/h)*h)\/h*h*h**(3\/2) assuming h is positive.\nAnswer: h**(4023\/658)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/4)\/((-12)\/(-40)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 13*a - 10888 = 0. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 1968*v + 13861. Let z be j(-7). Suppose 0 - 3 = -3*m. Which is smaller: z or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -64.8 - -29. Let x = w - -36. Let v = -1 - 4. Which is the nearest to x? (a) v (b) 0.3 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -4402992071177 and -0.2?\nAnswer: 4402992071176.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11262 - 11273. Let k(p) = p - 2. Let i(r) = -17*r - 5. Let q(a) = 4*a + 1. Let y(b) = -6*i(b) - 26*q(b). Give z*k(u) - 6*y(u).\nAnswer: u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*z - 358819 = 6056965 + 1506446. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31 - (-12 + 23) - (-4 + -4 + -15 + 15).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*d + 31 - 4 = 0. Let y be (d + -4)\/((-1)\/3). Suppose 0 = n + 5*g - 19, 0 = -y*n + g + 6 + 3. Solve 3*b = n*b, 3*i = -5*b - 9 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-3)*((-11685)\/76)\/(-41)*8\/1100?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12483 is divided by 418?\nAnswer: 361","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jbbbjaaabnvjaa. What is prob of sequence bvaa?\nAnswer: 10\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -2*q. Let w(l) be the second derivative of 41\/6*l**3 + 0 - 13*l + 1\/2*l**2. What is r(w(h))?\nAnswer: -82*h - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -99 by 11.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13840.\nAnswer: 2, 5, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 24276565969 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2787, 2847, 2903, 2961, 3027, 3107, 3207?\n\"Answer: j**3 - 8*j**2 + 77*j + 2717","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the first derivative of 6977*z**2\/2 + 10481*z + 9699. What is the derivative of w(b) wrt b?\nAnswer: 6977","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5826?\nAnswer: 2, 3, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -166308 + 873560 = 67*w. Round w to the nearest 1000.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.5 from -4225741.\nAnswer: -4225740.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77380.\nAnswer: 2, 5, 53, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4340241 + -4?\nAnswer: 4340233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*b + 22*o - 86*o - 6, 66 - 60 = -3*b + 2*o for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 4 + -5 - (-11 - -1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 48439093?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02514928 rounded to five decimal places?\nAnswer: -0.02515","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**2 - b. Let p be l(0). Suppose p = -5*a + 8 + 12. Find the second derivative of -a*r - r**5 + 2*r + r wrt r.\nAnswer: -20*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**3 - 13*t**2 + 3. Let f be i(13). Suppose 0 = f*p + 6, 72 = 3*h + p - 2434. Suppose -4*o = -h - 720. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t + 1. Let p(f) = 2*f - 1. Let q(k) = -2*p(k) - 6*w(k). What are the prime factors of q(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -o - 3*x, 5*o + 0*o = -3*x - 1. Is o greater than 4\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:46 PM and 11:50 PM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3\/5*q**2 - 9\/5*q + 6\/5 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (5 - 11\/(22\/12)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t - 13. Let r be h(0). Let w = 6 - r. What is the remainder when w is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2*u**3 + 3)*(0 + 0 - 2)*(-8 - 2*u + 8).\nAnswer: -8*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -4a7383 (base 13) in base 14?\nAnswer: -34722b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 5*q = q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -4*s**2 - 28*s + 27. What is v(-7)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + -1. Let l = -7523 - -7623. Which is bigger: l or x?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - 3*x - 25 = 0, 3*x + 18 = -r - x for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54*q**2 - 103*q**2 + 57*q**2.\nAnswer: 8*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i + 50*q - 49*q - 43, -3*q + 72 = 3*i. Put 3\/5, i, -0.2, 0 in decreasing order.\nAnswer: i, 3\/5, 0, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.415 + -0.099. Let h = q + -0.486. What is the closest to h in 12, -3, 3, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 11 = w - 13, 4*w - 4*o = 16. Let q be (w - 3) + 8\/1. Solve f**5 + 54*f**4 + 4*f**5 - 49*f**q = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1b + 279ad?\nAnswer: 27992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 33707369 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2845*z + 15*z**2 + 2 + 2845*z + (-2*z + 0*z + 4*z)*(-z + 0*z + 0*z) + 2*z**2 - z**2 + 2*z**2 - 2*z**2 - 3*z**2 + 3*z**2.\nAnswer: 14*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5 + 2*h + 5 + 0 + 2*h + 0 + 2*h - h + 0*h + 4*h - 2*h + 0*h + (1 + 0 + 0)*(3*h + 2*h - 3*h) + (3 + 0 - 5)*(39*h - h + 8*h).\nAnswer: -83*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-2\/9)*x*x**(-6\/11)*(x\/x**(1\/13))\/(x\/(x\/x**(-8))) assuming x is positive.\nAnswer: x**(11783\/1287)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w + 3*w + 4 = 0. Which is bigger: w or 2\/11?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.01 in -5, 0.07, 107?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 + 3)*3*(-4)\/4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -29*i**4 + 258 - 258 - 21*i wrt i.\nAnswer: -348*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 122158 is divided by 122148.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 433325 to the power of 1\/5, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = k - 7, -q = -2*k + 3*k + 2. Let y be q\/(1\/(4\/(-3))). Let o(s) = -12*s + 2. Let a be o(y). Calculate the highest common factor of a and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -241 (b) -0.1 (c) -0.4 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 80*n - 77*n - 6. Suppose 5*q = 2*y - 362 - 151, 0 = -2*y - n*q + 492. What are the prime factors of y?\nAnswer: 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21*70\nAnswer: 1470","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*l + 13*l = -7364. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/3 + 116\/(-176). Let c = 173\/396 + i. Which is greater: -1 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, 3.92, 29, -2\/77 in decreasing order.\nAnswer: 29, 3.92, 2\/9, -2\/77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 549581755 a multiple of 1711?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5907.076 - -5865. What is i rounded to 1 decimal place?\nAnswer: -42.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = o + 2*c, 4*c + 107 = 3*o - 6*o. Let y = o - -18. Let b = -11 - y. What is the greatest common factor of 16 and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**2 - 7*o + 9. Let b be u(6). Suppose -3*f - 5 - 4 = -b*g, -5*f = -2*g. Suppose 0*h - 62 = -f*h. Calculate the remainder when h is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8\/(-36) - 11\/(-18)*2. Is ((-1346)\/4)\/m*(-15 + 13) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 110205 and 7584?\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**2 - 12*d + 1. Let v be k(-13). Let r be (-4)\/v*(-3)\/(-5). Which is the biggest value? (a) r (b) -0.2 (c) -1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 c when two letters picked without replacement from {t: 1, o: 1, w: 1, c: 1, i: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y + 2*y + 8 = 0. Suppose -4 = 2*s + y. Let i = -10 - -12. Which is the second biggest value? (a) s (b) 3 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1*32)\/1*20187500\/200. What is w rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 145, 129, 109, 91, 81, 85, 109, 159?\n\"Answer: f**3 - 8*f**2 + f + 151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 3*b**3 - 2*b**2 - 131*b + 21. Let q(v) = -14*v**3 + 9*v**2 + 524*v - 99. What is 9*g(m) + 2*q(m)?\nAnswer: -m**3 - 131*m - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 169*u - 1111. Calculate r(8).\nAnswer: 241","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1306274447 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cec when three letters picked without replacement from cccccoococcccec.\nAnswer: 11\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18522 by -63.\nAnswer: 294","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-10)\/(-20)*4\/(-2). Which is greater: x or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 535237.3 micrograms to tonnes.\nAnswer: 0.0000005352373","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14534 - 159994\/11. Let k = 1429\/132 + y. Let p = -1475\/11 - -134. Which is the second biggest value? (a) p (b) 4 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -4*a**2 - 7*a + 6. Let p(z) = 14*z**2 + 22*z - 20. Let d(s) = -3*p(s) - 10*y(s). Calculate d(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1103 - -2088. Let s = 987 - d. Solve 0 = -2*f + 4*u - 4, 4*u - 2 - s = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 24*d + 5. Let t be h(2). Let o = t - 53. Solve -b = -o*b + 4 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the first derivative of -8*m**3\/3 + 17. Let z(h) = 3*h**2. Give j(z(c)).\nAnswer: -72*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1224 and 143215752.\nAnswer: 429647256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -5*a + 2. Let k = -1 - -7. Let h(t) be the second derivative of -10*t + t**2 + 0 - 2\/3*t**3. Give k*h(j) - 5*p(j).\nAnswer: j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13172282?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6 - 341722c?\nAnswer: -3417226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 20 = 0, -3*r + 1 + 18 = 2*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v + g + 7781, 5*v + 9807 = 3*g + 85. Let s = -1049 - v. What is the tens digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89 is divided by 30?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**0)**(-11\/3)\/(c**3\/c**6))**(-48) assuming c is positive.\nAnswer: c**32","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(100) - (2*sqrt(100) + sqrt(100)))\/sqrt(2) + 0 + sqrt(36)\/sqrt(2) + -2.\nAnswer: -7*sqrt(2) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00195273719 rounded to 4 dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6553 + 6555. Let b be ((-5)\/9 + 1)\/((-16)\/(-12)). Let -2\/3*s - 1 + b*s**i = 0. What is s?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 139 + -20. Suppose 265 = 2*y - a. Let x(s) = s**2 - s + 2. Let t be x(6). Calculate the greatest common divisor of t and y.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -111031211312 - 3?\nAnswer: -111031211321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1124887 less than -6898?\nAnswer: -1131785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3257568973 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -3*b**2 + 12*b + 30. Let q be s(-6). Let i = -141 - q. Solve -4*l + i = -7 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -5 (b) -4 (c) 3.15 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q**2 + 69904*q + 305410576 = 0.\nAnswer: -8738","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.272 - 0.272. Which is the nearest to s? (a) -0.5 (b) -0.3 (c) -0.36\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6461 is divided by 291.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i**3 + 2*i**3 + i**3)*(-30*i**2 + 11*i**2 - 41*i**2) - i**5 + 3*i**5 - 3*i**5 + (-i + 5*i - 3*i)*(i**4 - 6*i**4 + 3*i**4).\nAnswer: -63*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1267 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*o - 30*o = 2*u - 212, -5*o - 236 = -2*u. Calculate the smallest common multiple of 16 and u.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(272) + -4 + -3)**2 + (((((sqrt(357)*-1 - sqrt(357)) + sqrt(357) - sqrt(357) - sqrt(357)) + sqrt(357))\/sqrt(7))\/sqrt(3))**2).\nAnswer: -2334 + 336*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 302 and 1040452?\nAnswer: 157108252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 822?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pppfppppfjjyrp. What is prob of sequence ry?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 45, -46, 2, -5, -1 in ascending order.\nAnswer: -46, -5, -4, -1, 2, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1427 - -1432. What is the second biggest value in t, 74, -3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -9 (b) 25 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2144 (base 11) to base 2.\nAnswer: -101100001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(2 + (3*(sqrt(133) + sqrt(133) + sqrt(133)*3))\/((sqrt(77)*1)\/sqrt(11))).\nAnswer: 4 + 30*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-7\/5)*n**(-7))\/(n*n**(1\/4)*n)**(3\/19) assuming n is positive.\nAnswer: n**(-3327\/380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18 - 13. Sort -0.6, 0, u in ascending order.\nAnswer: -0.6, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*f - 4*f + f + (-f + 2*f + f)*(-14 + 123 + 3 + 57) in the form j + s*f and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*x**3 - 4*x + 3*x + 6*x + 1668*x**2 - 4*x + 6.\nAnswer: 21*x**3 + 1668*x**2 + x + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2338 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 take away 1439.5?\nAnswer: -1435.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + 2 + sqrt(891) - (sqrt(891) - ((-1*sqrt(891) + sqrt(891))*6 - sqrt(891)))) + 0)**2.\nAnswer: -36*sqrt(11) + 895","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -148*i**2 - 3. Let q(b) = -1775*b**2 - 35. Let c(j) = -35*l(j) + 3*q(j). Let s(n) = -3*n**2. Calculate c(s(g)).\nAnswer: -1305*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*g**2*l**3 + 19*g**2*l**2 - 11*g**2*l + 15*g*l**3 wrt l.\nAnswer: -18*g**2 + 90*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:18 PM and 6:42 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.5, 0.3, 5.185203?\nAnswer: 5.185203","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-38)\/(-6)*(-5)\/(-360)*54?\nAnswer: 19\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**2 - 4*u - 2. Let o be r(4). Let y be (-3)\/18*-3*10. Put y, -4, o in decreasing order.\nAnswer: y, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -29*q + 27*q - 6, -2*q = 4*k - 366. Let n be 19*1\/9 - k\/837. Solve 5*z + n = -5*a - 38, -4*z - 27 = 3*a for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 7, v: 3, a: 4}. What is prob of sequence aav?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1137955?\nAnswer: 5, 7, 13, 41, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q + 3*q + 525. Suppose -130*u + 18083 = 23*u + 182. Let w = u + q. Solve 3*r = 7*r + 3*k - 20, 4*k = 2*r + w for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 39*m**5\/2 - 120*m**4 - 3492*m**3 + 34665*m**2 - 171375*m\/2 + 12375 = 0.\nAnswer: -15, 2\/13, 5, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.08513 * 1\nAnswer: 0.08513","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -32*u**2 - 7*u**3 + 32*u**2 + (-u + 2*u + 0*u)*(2 - 2 + 2*u)*(-4*u + 4*u - 2*u).\nAnswer: -11*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 2*f + 50, -2*x - 4*f + 6 = -22. Let u = x + -15. What is the closest to -1 in u, 0, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 6 = 4*z, -3*z + 0 = -2*g + 7. List the prime factors of 4 - (2 - z\/(-1)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c - 18*c - 48 = 0. What is the common denominator of -17\/35 and (-1870)\/350 - (c + -2)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -86*j - 77. Let l be s(-1). Let y(q) = q**3 - 11*q**2 + 12*q - 11. Determine y(l).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fz when two letters picked without replacement from rfmfzm?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6945557.22us to weeks.\nAnswer: 0.00001148405625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1113516\/193 or -5769?\nAnswer: -5769","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 4*p**3 - 89*p**2 - 471. Let n(l) = -9*l**3 + 177*l**2 + 942. Let r(v) = -2*n(v) - 5*y(v). Find the first derivative of r(h) wrt h.\nAnswer: -6*h**2 + 182*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 16938*s**2 - 18574*s wrt s?\nAnswer: 33876","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 104 = 2*r - 5*o, -3*r + 157 = 5*o. Suppose 5*w + q + 76 = -1, r = -4*w + 3*q. Let s = w - -29. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hkh when three letters picked without replacement from hkhkh.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*q = -4*q - 246 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -4*b + 23. Suppose 0 = 4*i + u + 7, 3*i + 4 + b = 4*u. Let c(z) = z**2 - 2*z - 3. Let h be c(i). Solve 8*r - 2*x - 30 = 3*r, -5*r - 5*x = h for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69366 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: Expand (-3*s**2 + s**2 + 4*s**2)*(-1 - 3*s + 1) + 145*s**3 - 144*s**3 + 18*s - 4 + 2.\nAnswer: -5*s**3 + 18*s - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(152) + sqrt(152))*-3 + sqrt(152) - 4*(sqrt(152) - 3*sqrt(152) - sqrt(152)))\/(-2*sqrt(48)\/sqrt(96)*-5).\nAnswer: 38*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5813 = 905*q - 522 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -163*g + 13. Let o be n(1). Let y = o - -154. Calculate the lowest common multiple of 5 and y.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*t + 2*t**2 - 4*t)*(-5*t + 2*t + t) + 37 - 29054*t**3 + 36 - 126 + 28 + 25.\nAnswer: -29058*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = k + 2, -4*k - 3*r + 17 = 3. Suppose 3*j = 3*n - 102, -5 = k*j + 1. What is the remainder when n is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/((-4)\/(-6)) + 0. Let q(z) = -2*z + 30. Let c be q(12). Is c\/6 + (-4626)\/j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 37*m**4*u**2 - 2*m**4*u - m**2 + m*u**2 + 22*m wrt m.\nAnswer: 888*m*u**2 - 48*m*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuss when four letters picked without replacement from {u: 5, s: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*c + 1 + 3 - 4 as w + p*c and give p.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -294 = -5*v + 2*l, 5*l - 7 = 8. What is f in -127 - 9144*f**2 - v + 2832*f - 53 - 1944*f**3 + 32805*f**4 + 6561*f**5 = 0?\nAnswer: -5, -2\/3, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4386229 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 174595 to the nearest integer?\nAnswer: 418","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-452914)\/3927 - 2*7\/(-42)\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2304 = -708*n + 996*n for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 4*z - 68 = -12, 4*u + 5*z - 74 = 0. Let i be (-2)\/(-6)*(-6)\/(-1). Let v be (-392)\/(-12) + i\/(-3). Calculate the highest common factor of u and v.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - (14 - 4 - 24)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1876 + -1726. Calculate the remainder when 443 is divided by w.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -31 - 141?\nAnswer: -222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4*-1*2447\/(-4)*-2. Let f = m - -7055. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 196439 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43 = 3*y + 4*m, -513 = 5*y + 3*m - 445 for y.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 4*a = -172, 0 = 5*f + 3*a - 6 - 169. Let h be 2\/(-3) - f\/(-3). Suppose -5*x - h = -6*x. What is the remainder when x is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 362\/20 - (-6 - (-732)\/120). Calculate the greatest common divisor of k and 153.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 144408 + 145*i - 72206 + i**2 - 72202.\nAnswer: i**2 + 145*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -101 and 3.\nAnswer: -303","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1077861*d**4 - 50976*d**2?\nAnswer: -25868664*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -2*g**3 + g**2 + 3*g - 2. Suppose -n + 8 = 1. Let r = 4 - n. Let j be 2\/(-3*1\/r). Give b(j).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + n = -4*h, 4*n + 4*h = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*b + 8. Put -4, b, 3 in decreasing order.\nAnswer: 3, b, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*c = 128, -3026*p + 5*c + 4 = -3032*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 12*(-2)\/(0 + 4). Calculate the common denominator of -6\/11 and 23\/(-4)*c\/3.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -289, -458, -725, -1090?\nAnswer: -1553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m = 3*m - 0*m. Suppose 5*u - 15 = 0, m = -n - 2*n - 4*u + 42. Let k be (-4 + n\/4)*(-13 - -1). Calculate the highest common divisor of 2 and k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-31)\/(-3) + (-152)\/(-228). Solve -12 = -h*t + 17*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/6 of a decade in months?\nAnswer: 140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, -4, -2, -1.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(1200) - (sqrt(1200) + sqrt(1200)*-2*-3 + sqrt(1200))))\/((-3*(sqrt(60) + 1*sqrt(60)))\/(2*sqrt(10)*-1)) + 5.\nAnswer: -140*sqrt(2) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p + 0 + 0 - 1 + 2*p + 1 + (2*p - 1 + 1)*(-3 - 3 + 7) - 6006 + 6006 - 775*p)*(2 - 2 - p**2).\nAnswer: 769*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-3))\/(-3*(-8)\/(-156))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/3*93 - 0. Let u be a\/(-10) - (-3)\/(-15). Differentiate 3 + 0 - z - u + 0 wrt z.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 829420959?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*p + 3*a + 11, -4*p + 2*a - 36 = 6*a for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/(-36))\/(11*(-132)\/(-5445)).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5328.3339 seconds in days?\nAnswer: 0.06167053125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 8 = -4. Suppose v*j - 268 = -j. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/77 and -26\/121?\nAnswer: 847","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the second derivative of -i**8\/6720 - i**7\/420 - i**6\/720 + i**5\/15 + i**4\/12 - 3*i. Let a(h) be the third derivative of l(h). Does 7 divide a(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b + 12. Let h(n) = -n + 11. Suppose -9*a = -362 + 299. Give a*h(r) - 6*d(r).\nAnswer: -r + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -81607*n + 40812*n + 40806*n.\nAnswer: 11*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 2*q**2 + 17*q - 4. Let n(c) = 2*c**2 + 16*c - 3. Let z(v) = 5*n(v) - 4*r(v). Let u = 151 - 161. Is 13 a factor of z(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 76805530?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 770 + -765. Solve 4*z = -4*y - 4, m = z - 4*y + 3*y for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0.3, 2 in decreasing order.\nAnswer: 2, 0.3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 20467197 to the nearest integer?\nAnswer: 274","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2746*y**3 - y - 3611.\nAnswer: 8238*y**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -600*w = -598*w - 1672. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.4 - 2.2. Let i = 50.6 + l. Let q = -47.999954 + i. Round q to 5 decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1514)\/(-8))\/(19\/76). Suppose 0 = 9*r - 53 - n. What is the lowest common multiple of r and 57?\nAnswer: 1710","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gqmg when four letters picked without replacement from mmwwwwmqeeeggm.\nAnswer: 1\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes after 4:52 AM?\nAnswer: 7:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13865.\nAnswer: 5, 47, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000364467 rounded to six dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, 1\/3, -0.09, 4, -5?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -26 - -23. Let u be (-4)\/(-7)*(t + 165\/6). Solve u = -5*b - 6 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the first derivative of 11*n**4 + 22*n**3\/3 + 1197*n - 775. Differentiate d(v) wrt v.\nAnswer: 132*v**2 + 44*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 7*s**2 - 8*s - 3. Let r = 174 - 177. Let a(p) = -16*p**2 + 17*p + 7. Let o(g) = r*a(g) - 7*j(g). Suppose o(q) = 0. What is q?\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 - (-3)\/((-105)\/98)) + (-28)\/40. What is the fourth smallest value in 4\/3, b, -3\/5, 5, 0.4?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13613 - -7797. Let d = j + 3476. What is d rounded to the nearest 100?\nAnswer: -2300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.04269 (b) 232\/9 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**3 + 20*p**2 - 18*p - 12. Let t(j) = 2*j**2 + 1. Let i be t(-3). Let h be y(i). Let r(q) = -q**3 + 8*q**2 - 10*q + 4. Calculate r(h).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the first derivative of n**4\/4 + 14*n**3\/3 - n**2\/2 - 3*n - 123. Determine x(-14).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000693383392 rounded to six dps?\nAnswer: -0.000069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**3 - j**2 - 1. Let t(g) = -8*g**3 - g**2 - 5*g - 1. Suppose 0 = -2*i + i - 1. Let s(p) = i*t(p) + c(p). Find the second derivative of s(a) wrt a.\nAnswer: 54*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 - (2 - 2))*(-25 + 29). Let a = -0.06 + 0.46. What is the smallest value in x, a, -1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v, 1 g, and 1 h when four letters picked without replacement from {h: 1, c: 3, g: 6, j: 1, v: 2}?\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 5*r + 23 + 197 = 0, -5*r = 20. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**3 + p**2 + p - 1. Let n(k) = -5*k**2 + 17*k + 9. Let y(w) = -w**2 + 4*w + 2. Let s(h) = -6*n(h) + 26*y(h). What is -2*j(f) + s(f)?\nAnswer: 2*f**3 + 2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -91, -185, -279, -373, -467, -561?\n\"Answer: -94*i + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -6*n - 8. Suppose i = 5*x - i + 3, 4*x - n*i = -12. Let j be (-84)\/18 - x\/3. Sort 1, j, 2 in increasing order.\nAnswer: j, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*g**3*n**2 - 50*g**3*n + g**2*n**2 - g**2*n - 658*n**2 - 2*n wrt n?\nAnswer: -4*g**3 + 2*g**2 - 1316","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -87795, -351205, -790221, -1404843?\n\"Answer: -87803*c**2 - c + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20248.\nAnswer: 2, 2531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(280) + -2*sqrt(280))*-4)\/sqrt(5)*-6)\/(5*(sqrt(200) + (sqrt(200) + (sqrt(200) - -5*(sqrt(200)*-1 + sqrt(200))) - sqrt(200)) - sqrt(200))))**2.\nAnswer: 4032\/625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 81655?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 333? (a) -3 (b) -201 (c) -65\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the second derivative of -5*t**4\/6 - t**3\/3 - t**2\/2 - 1981*t. Calculate v(-1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 1846392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 4 + 9 + 6 + -5 + 5\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*r - 3*r**3 - 21*r**3 + 33*r**3 + 3*r - 15*r**3.\nAnswer: -6*r**3 - 5*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the second derivative of -23*y**5\/60 - 5*y**4\/3 - 33*y**3\/2 + 203*y. Let h(q) be the second derivative of c(q). Differentiate h(z) wrt z.\nAnswer: -46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3821079, -1, 7 in ascending order.\nAnswer: -1, 7, 3821079","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*x**4 + 16863*x**3 - 202032*x**2 + 605772*x = 0. What is x?\nAnswer: 0, 6, 5609","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4572 and 3204?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -5 + w - 3*w**3 - 21*w**2 - 1 + 26*w**2 + 1. Let d be t(1). Which is the second biggest value? (a) d (b) 0.3 (c) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = -22*k + 126 + 25 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 43 in 4, 4\/7, 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n*n\/n**1))\/n)**(1\/44)*n**(-4)\/((n\/(((n**5*n)\/n)\/n))\/n*n) assuming n is positive.\nAnswer: n**(-45\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*v - 7*v - 4*v)*(2*v + 4*v - 12*v + 2*v) in the form y*v + s*v**2 + x and give s.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2*1*(-4)\/5*-5. What is the smallest common multiple of 44 and (-1792)\/b - (-4)\/(-1)?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9881 + -316139\/32. Find the common denominator of -71\/36 and b.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -4*q + 45. Determine r(-22).\nAnswer: 133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 125313915?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1054, 6428, 26760, 66368, 131678, 229116, 365108, 546080?\nAnswer: 778458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 - -5. Let y = 15 - f. What is the greatest common factor of 108 and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the second derivative of -q**6\/45 - q**5\/10 + 2*q**4 - 32*q**3\/9 - 169*q + 2. Factor z(o).\nAnswer: -2*o*(o - 4)*(o - 1)*(o + 8)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 4*p + 5242 = 0, -2*p + 6680 - 1426 = 3*o. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 998777.1mg to nanograms.\nAnswer: 998777100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.06 (b) -4 (c) -3 (d) 141 (e) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1488 + 1?\nAnswer: 1489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 + 0. Let b = z + 3. Let o be (4\/6)\/(16\/(-8)). What is the nearest to 7 in -5, o, b?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2729.8 to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes after 3:28 PM?\nAnswer: 10:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2 + (-3)\/(-1))*1. Is (-2)\/5 + (-1)\/(d\/(-3897)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -8*m - 7. Let l be c(-5). Suppose 2*j = -2*d - 4, 72*d - 74*d = 4*j. What is the second derivative of -8*s - l*s**j + s + 25*s wrt s?\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001084444 to 6 decimal places.\nAnswer: 0.001084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85 is divided by 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:38 AM and 9:58 AM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 + -3. Let r = 10 - 8. What is the derivative of 2*k**q + k**r - 3*k**2 - 4*k**2 - 4 wrt k?\nAnswer: -8*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2802901037 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -2*i**2 + 6. Calculate the remainder when 18 is divided by f(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2 and -0.19.\nAnswer: -2.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2315, 9562, 21743, 38858?\n\"Answer: 2467*x**2 - 154*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 4, i: 1, x: 1, h: 2, b: 1, n: 3}. What is prob of picking 1 n, 1 s, 1 b, and 1 i?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2688260.77 times -0.3\nAnswer: -806478.231","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 3*n = -8. What is the first derivative of 17*t**n - 18 + 35 - 14 wrt t?\nAnswer: 34*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) 3 (c) -2\/19 (d) 18930\/43 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -43, 2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10744*z - 10745*z = -3*q - 10, 5*q - z + 20 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9502 - 2375 - 2372 + 109*j**2 - 2379 - 2376 - 126*j**2.\nAnswer: -17*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4907, 9772, 14505, 19040, 23311, 27252, 30797?\nAnswer: 33880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*m + k + 6, 3*m + 2*k - 4 = 7*k for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -157, -296, -429, -556, -677, -792, -901?\nAnswer: -1004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*a = -567 - 393. Calculate the highest common factor of 1000 and a.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12531 - -12531. What is the fifth biggest value in 2, -13, y, -1\/4, 0.2?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 5, v: 5, k: 1, m: 4}. Give prob of picking 1 v, 1 k, and 2 x.\nAnswer: 10\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x**5 + 126*x**4 + 192*x**3 - 22266*x**2 + 135885*x - 234900 = 0 for x.\nAnswer: -29, -27, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/(-6)*6 + 6. Suppose -y + x = 9. Let m(h) = -h**2 - 10*h - 23. Let z be m(-8). Does y = z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16482 is divided by 8235?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l - 20 - 10 = 0. Let s be 990\/25 - 2\/l. What is the greatest common factor of 10 and s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, 11, -302, -8, 0, -4 in increasing order.\nAnswer: -302, -8, -4, 0, 2, 4, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 18\/(-15) - 3294\/(-270).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 + 8. Suppose 6 = 2*w + x. Suppose -2*l + 12 = w. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -204709883*l**3 + 534285653*l**2.\nAnswer: -1228259298","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 87491 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (7\/28*4)\/(2\/4). Suppose -12 = 2*i + 4*d, 5*i = -0*i + c*d + 18. Find u, given that 0 - 2*u**i + 2\/5*u = 0.\nAnswer: 0, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -3*h**3 + h**2 - h + 17. Is c(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -10 - -12 - (-41)\/(-5). Let i = v - -63\/10. Find the common denominator of i and -49\/5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(242) - (-4 + sqrt(242))))**2 + 1.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6499 a factor of 708569718?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the second derivative of -l**4\/6 + l**3 - l**2 - 13*l. Let h be m(2). Let f = 1 - -1. Solve 2*x - 2 = -f*i, h*x + 5*i - 10 = -2 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-4\/7)\/i)\/(i\/(i*i\/(i\/(i*i**6))*i)))**(-29)\/(((i**(4\/3)*i*i)\/(i*i\/(i**(2\/5)\/i)))\/(i\/((i*i**5)\/i*i)*i\/(i*i**(-2\/3))*i)) assuming i is positive.\nAnswer: i**(-20002\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02378098 to three dps.\nAnswer: 0.024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1656 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -35*x + 71*x - 108. Solve -5*b + 17 = -x*q + 4, 0 = -2*b - 3*q + 22 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1756 + b?\nAnswer: -1747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 2*d**2 - 14*d - 2. Let s be l(6). Let j = s + 14. Factor j - 1\/4*i**2 + 1\/4*i.\nAnswer: -i*(i - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01442999465 rounded to seven dps?\nAnswer: -0.01443","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-81)\/((-2187)\/18)*-4*(-15)\/760\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 4*w - 368 = 0, -2*w - 104 = -h - 0*h. Suppose 3*t = h + 96. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65364 is divided by 322.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1, 118.356, 0.2, -1\/3, 3 in decreasing order.\nAnswer: 118.356, 3, 2, 0.2, -1\/3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-29 - 7 - -2) + 46?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g = 0, 2*t - 868*g = -865*g + 54 for t.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/151 and -23\/1359.\nAnswer: 1359","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (-11 - (-18 - -15))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 4*r**2. Suppose x + 5 = 2*y, -6*y - 4*x + 2 = -3*y. Let u be q(y). Suppose -k - u = -5*k. Solve 3*o = -k*f - 8, 12 = -4*o + f - 5 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, l: 3, b: 3, q: 7}. What is prob of sequence lqhq?\nAnswer: 1\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7389269ml in litres?\nAnswer: 0.0007389269","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**3 - 11*d**2 + 2. Let s be (0 - 2)*22\/(-4). Let k be h(s). Find the third derivative of 20*z**4 + 2*z**5 - 20*z**4 + 10*z**k - 4*z**2 wrt z.\nAnswer: 120*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*r**5 + 0*r**5 - r**5 + (2*r**2 + 0 + 0)*(-4*r**2 + 2*r**3 + 4*r**2) + r**2 + 2*r**5 - r**2 + (2*r + 2*r - 6*r)*(5*r**4 + 2*r**4 - 4*r**4).\nAnswer: 2*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k\/(k\/k**5)*k*k**(-6))**(-31)\/((k**(-3\/7)\/(k**(-2)\/k))\/(k**(-2\/3)*k*k)**(-1\/18)) assuming k is positive.\nAnswer: k**(-6359\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 47*c**3 - 5*c**2 + 111*c**3 - 160*c**3 + 8*c to the form o*c + q + d*c**3 + l*c**2 and give l.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from ffffvvfvfff.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -140246 or -140249?\nAnswer: -140249","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d*d\/(d*d\/(d**(-24)*d))))\/d*d**35)\/(((d**(-44)*d)\/d)\/(d**(-19\/2)*d)) assuming d is positive.\nAnswer: d**(187\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) 354 (c) -2\/3 (d) 1 (e) -4\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.7136747 millilitres?\nAnswer: 0.0007136747","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*r + 17443 + 322. Suppose -5*l = r - 965. Put l, -7, 1 in descending order.\nAnswer: l, 1, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 - 2. Let q = 2253 - 2267.99. Let p = q - -15. Put p, l, -1 in decreasing order.\nAnswer: l, p, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 15 = b + b, t = -3*b - 3. Let o = 80412 - 16323435\/203. Let y = -8\/29 + o. Is b smaller than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -2*g**2 + 625*g + 1. Let v(q) = 7*q - 1. Give v(s(y)).\nAnswer: -14*y**2 + 4375*y + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 178654, 16, -92 in decreasing order.\nAnswer: 178654, 16, -92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 473312804.\nAnswer: 2, 149, 794149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -b**2 + 2*b**3 - 4830*b - 4 + 21 + 4833*b to the form d*b**3 + p*b + f + m*b**2 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 116 - 114. Suppose -5*v - c*j = -0*j - 124, -5*j = -5*v + 145. What is the highest common divisor of v and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2*m + 3)*(880*m + 15*m**2 - 879*m - 50*m**2) + (2 - 9*m + 9*m + m)*(3*m**2 + 5*m**2 - 6*m**2).\nAnswer: -68*m**3 + 6*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13 + -10. Differentiate 2*k + k + k - u with respect to k.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b = -m + 7, -5*b = -6*m + 2302 - 2310 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4295077 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes before 10:53 PM?\nAnswer: 3:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*(z\/((z\/z**0)\/z))\/z*z))**47\/(z\/z**(4\/3)*z\/(z\/(z\/z**(1\/5))*z)) assuming z is positive.\nAnswer: z**(-697\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 4*u**3 - 6*u + 5. Let b(p) = -7*p**3 + 11*p - 9. Give -6*b(n) - 11*d(n).\nAnswer: -2*n**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 9 + 18 + 3 - 20 + 13*j + 13. Let v(s) = -4*s - 8. What is -6*p(u) - 17*v(u)?\nAnswer: -10*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.087 in 10\/21, 1, -9?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) -11 (c) 5 (d) -108\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes before 5:14 AM?\nAnswer: 1:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3008, 87 in increasing order.\nAnswer: -3008, -1, 87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 546742.\nAnswer: 2, 7, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.1 - 1.1. Which is the closest to y? (a) -3\/5 (b) 0 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssssussssssusssussss. Give prob of picking 1 s and 3 u.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u - 3*u + 8. Suppose -3*w - u*w = -85. List the prime factors of w.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1222222022110 + 2?\nAnswer: 1222222022112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -75770 + 234426. Let l(b) = -w - 31*b**2 + 158656. Let r(i) = i. Determine r(l(j)).\nAnswer: -31*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**2 + 7*h - 3. Let o be k(6). Let l(d) = d**3 - 7*d**2 + 2*d + 6. Let i be l(7). Solve -o*g = 2*g + i for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 s when two letters picked without replacement from {s: 1, e: 4, o: 4, y: 6, g: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 8, -2, 2, 5, 202.\nAnswer: -2, 1, 2, 5, 8, 202","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 186229 to the nearest integer?\nAnswer: 432","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30\/14*2\/(-12)*(-576)\/(-360)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11850 and 18350?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.02 and 13703.\nAnswer: 274.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20)\/sqrt(2)*-4 + sqrt(10))\/(sqrt(5)*-2*2 + sqrt(5)) - 5*(sqrt(288) + sqrt(8))*-6.\nAnswer: 421*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1284 - 1278. What is the smallest value in q, -0.2, -0.14?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 5*g - 5. Let l(f) = f - 1. Let v(m) = 6*l(m) - z(m). Calculate v(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s*s**(-5\/2))\/((s*s*s*s**(2\/5)\/s)\/s)*s**(2\/3)*s**11)**1 assuming s is positive.\nAnswer: s**(293\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 96017*o**2 - 6*o - 81. Is g(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1784 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand k**3 + 3*k**2 - 3*k**2 + k**3 + 2*k - 2*k + (4*k - k - 2*k)*(2*k**2 + 0*k + 0*k) + 233*k - 6*k**3 - 74*k**3 + 82*k**3.\nAnswer: 6*k**3 + 233*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -5561*m + 931. List the prime factors of q(-2).\nAnswer: 17, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kmk when three letters picked without replacement from {m: 3, k: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**3 + 4*k**2 + 3*k + 3. Let j(o) = 3*o**2 + 2*o + 2. Give 6*j(x) - 4*y(x).\nAnswer: -4*x**3 + 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 478 - 465. Calculate the highest common factor of 13 and o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + (5 + 1 - 5).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(49)*-4)\/((sqrt(567) - 1*sqrt(567)) + sqrt(567) + sqrt(7)).\nAnswer: -2*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 q, and 1 n when three letters picked without replacement from {n: 1, f: 1, q: 9, u: 1}?\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*f + 120 = -16*f + 2*d, 2*f - d - 60 = 0. Suppose 3*q = -26 + 206. Calculate the greatest common divisor of q and f.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes before 5:09 AM?\nAnswer: 12:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 2*q = -43454, -2 = -3*q + 7. What are the prime factors of w?\nAnswer: 2, 5431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t + 3. Suppose -p - 3*q + 4 = -2*q, p = -3*q. Let c be 1 - 1\/(2\/p). Let k be 0\/c - (8 + -5). Determine r(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -2) + 2 + -6 + -2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**2. Let x(k) = -5*k**2 - 6*k. Let v(q) = -4*q**2 - 5*q. Let l(p) = -6*v(p) + 5*x(p). Give d(l(s)).\nAnswer: s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 1.5, -2\/5, 1\/6840, 0.2, 3, 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 12\/(-5)*-1*(-290)\/4. Let a = i - -119. Let c = 98 - a. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 2*r**4\/3 - 428*r**3\/3 + 18722*r**2\/3 + 148944*r + 726624 = 0.\nAnswer: -9, 116","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 4 + 4 = -4*c, 3*c + 12 = 0. Let r be (20\/m + -2)*0. Let y be r + (4\/2 - -16). Calculate the highest common factor of 2 and y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -29268 + 29287. Solve 3*w - 5*b = -r, 75*w - 2*b + 8 = 74*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 101*c**3 - 7175*c + 5*c**3 + 28800*c.\nAnswer: 106*c**3 + 21625*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -25624 - 4?\nAnswer: -25630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 8 = -24. Find the third derivative of -4*o**6 - 2 - 6 + q - 7*o**2 wrt o.\nAnswer: -480*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.8723*-0.01\nAnswer: -0.018723","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -33\/49 and -52\/49.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -58.7 + 60.7. Put x, 0.4, -4, 3, -222 in increasing order.\nAnswer: -222, -4, 0.4, x, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -238 - -545. Does 33 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14.818 + -14.918. Suppose 0 = r - 5*g + 23, -14 = 3*r - 5*g + g. Let k be (-20)\/(-96) + r\/(-6). What is the closest to -1 in w, k, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1625)\/(-39))\/(10025\/3609)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 7228587 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, -36, -2, 35 in increasing order.\nAnswer: -36, -4, -2, -1, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 70*p + 35. Let k(n) = -70*n - 34. Suppose -4*x - 20 = -0*x. Let a(v) = x*o(v) - 4*k(v). Is a(-17) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the first derivative of -3*i**2\/2 + i - 13. Let w(d) = -d. Give 2*r(n) - 7*w(n).\nAnswer: n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-28*t + 40*t - 22 + 47)*(-4*t - 16*t + 13*t) as f + y*t + g*t**2 and give y.\nAnswer: -175","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 96 = -4*t - q, 5*t + 99 = 4*q. Let r = 15 - t. Is -10*r*(-2)\/8 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21 + -3 + 16 - -7\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 670.\nAnswer: 2, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - i = 0, 2*x + 17*i = 21*i - 6 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3*3\/9 - 2. Let l be 1*(y + 1) + 1. What is the third derivative of l + 2 + h**2 - 3 + 3*h**4 wrt h?\nAnswer: 72*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 3 + 4*-1*(-5 + sqrt(700)*1) + -2.\nAnswer: -40*sqrt(7) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 195 = 19*l - 1959. Solve -l*s + 87 = 759 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 + 204\/17)\/(12\/(-24))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*q**2 + 3*q**4 - 11*q**3 + 10*q + 4*q**3 - 2*q**3 + 7*q**3 in the form x + u*q**4 + i*q**3 + d*q + z*q**2 and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 12080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4469 + -4467. What is the third smallest value in 841, -1\/2, v?\nAnswer: 841","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 3, -31, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 1 f when three letters picked without replacement from vbfbf?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((2 + ((sqrt(21) + (sqrt(63)\/sqrt(3) - sqrt(21)))\/sqrt(3) - (sqrt(343) + 0)**2) - ((sqrt(252) + -2)*2 + 2)) + -5).\nAnswer: -2064 - 66*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**2 + 838212728*d + 43912536086325124.\nAnswer: 4*(d + 104776591)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaaysas. Give prob of sequence ay.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 27*f - 30 = 32*f, 10 = 2*d - 4*f. Let x(m) = 7*m**3 + 3*m**2 + 4*m + 3. Let v(b) = -13*b**3 - 5*b**2 - 7*b - 5. Determine d*x(i) - 3*v(i).\nAnswer: 4*i**3 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3964157 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 19861 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(2*(-3)\/12*-1)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 214563 and 111?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2, 26, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**3 - 85*w**2 + 165*w + 114. Determine o(83).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 140579004659 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -182115976 from 30899.\nAnswer: 182146875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132) + 6*(sqrt(132) - -1*sqrt(132)) - sqrt(132))\/(6*sqrt(192) - sqrt(12)).\nAnswer: 12*sqrt(11)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/57, -2\/5, -1.81096?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -9833*t**2 + 88500*t - 31. Give a(9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/98*34\/((-5916)\/203).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5192487671 - -0.2.\nAnswer: 0.7192487671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 116?\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:36 PM and 5:55 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -438*b + 112*b = 506*b + 47424 for b.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.279852 and -0.2.\nAnswer: -0.479852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:24 AM and 1:09 PM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**2 - 6*d + 9. Let q be g(3). Suppose -2*p + 0*r + 10 = -2*r, q = -5*p + r + 29. What is the derivative of 26*l**2 + 7 + 19 + p*l**2 wrt l?\nAnswer: 64*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 443 + 242 = 0. Let b = u + 164. Suppose -25*n + b*n + 864 = 0. What is n rounded to the nearest 10?\nAnswer: -430","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7432116 and 1606944.\nAnswer: 59456928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 65551007?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15 - 15. Suppose 2*z - 2*z + z = q. Solve -26 = 4*o - z*p - 2*p, 0 = 4*p - 12 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-19)\/((-3 + 6 - 17) + 13))\/(-3)?\nAnswer: -19\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 4 + 5 = v, 2*q = -v + 6 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, 0.3, 5, 23\/5 in decreasing order.\nAnswer: 5, 23\/5, 0.3, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2b4 (base 12) to base 4.\nAnswer: -12220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4\/3, 0.1, -2\/271, -2624?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 170617314.\nAnswer: 2, 3, 7, 580331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 90\/7 + 2\/7*w**2 + 92\/7*w.\nAnswer: 2*(w + 1)*(w + 45)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4 + (-3)\/3 + -1. Suppose 59*p**w + 128*p + 26*p**2 + 7*p**2 + 12*p**3 + 48 = 0. What is p?\nAnswer: -6, -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (314*f**2 - 314*f**2 - 73*f**3)*((-3 - 2*f + 3)*(1 - 1 - 1) + 5*f - 2*f - 2*f).\nAnswer: -219*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -j - a - 0*a, 2*j = -3*a - 7. Suppose 3*z - j*z + 263 = 0. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -187*t**3 - 4*t + 5*t + 168*t**3.\nAnswer: -19*t**3 + t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 14, n: 4}. What is prob of sequence xxnn?\nAnswer: 91\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the third derivative of 1\/24*s**4 + 0*s - s**3 + 4*s**2 + 0. Calculate z(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19856\/105 - -946\/5. Sort -644, q, -3 in descending order.\nAnswer: q, -3, -644","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((-1 - -3)\/(-6))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 164568097, 164568096, 164568095?\nAnswer: 164568094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/8 - 6258\/(-168). Solve 2*q - 4*s + 6 = 0, 0*s + 3*s - o = -5*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 289\/849777?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 225 is divided by 109.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100*f - 97*f = 3 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 18a (base 13) to base 16\nAnswer: 11b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 375120 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: Sort -4, 17, 190 in decreasing order.\nAnswer: 190, 17, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes after 10:19 PM?\nAnswer: 5:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q + 4. Let b be t(-3). Let d be (-35)\/(-3) + b\/3. Let i be (6\/d)\/(1\/82). What is i rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 5*v**2 + 34*v + 79. Let u be h(-3). What is the greatest common divisor of u and 5346?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 10*((-6)\/(-15) - 0). Let p(t) be the first derivative of 5 + 5*t**2 + 5 - 4 + m*t + 3*t. Differentiate p(h) wrt h.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -91 - -247. Suppose 0 = -o + 4*k - 44, -y = 3*o + 2*o - 4*k. Let v = o + 45. Is v a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 2*k - 7 + 1 = 0, -3*s + 4*k = -8. Let g(w) = w - 4. Determine g(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5.9693 - 0.0307. What is the third biggest value in -3, -20, t?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**3 - w + 6. Let l = 11 + -14. Let f = l - -6. Let v = 3 - f. What is n(v)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 443?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12620?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 367703 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -195716 + -4?\nAnswer: -195720","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1349 - 1346. Solve 2*h - 6 = 3*f, 0*h + 29 = -k*h - 5*f for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 18426*b + 2306. List the prime factors of p(2).\nAnswer: 2, 7, 2797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 - 4. Suppose y = 4*v - v - 15. Suppose -o - 4*o + 5*a + 35 = 0, 29 = v*o - 3*a. Solve -x - 3*x - o = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the first derivative of c**4\/4 - 10*c**3\/3 + 9*c**2\/2 + 27. Let x be v(9). Solve 5*n + 10 = x, n + 11 = 5*h - 11 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 1 = -4. Let a(o) = o - 4*o - 4*o - m*o - 33. Calculate the remainder when a(-9) is divided by 21.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(425)*-2 + (sqrt(425) - (sqrt(425) + 3)**2*-1) - (((sqrt(425) - (sqrt(425) + 0 + sqrt(425)))*-2 + 3)**2 + 0).\nAnswer: -1271 - 35*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -279, -292, -295, -282, -247, -184, -87?\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**2\/15 - 11006*a\/15 - 153692\/15.\nAnswer: -2*(a + 14)*(a + 5489)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -142860*a + 283893.\nAnswer: -142860","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 + 2. Let h be 4\/8 - (-33)\/(-156). Let k = h - -6\/13. Which is smaller: k or c?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -38 + 38.1. What is the second biggest value in 3, 1\/6, y?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 - -14. Let s(z) = -v - 9*z + 22. Let y(c) be the first derivative of c**3 + 2256. Calculate s(y(t)).\nAnswer: -27*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*y - 5*y**2 - 10*y + 13*y - 10*y.\nAnswer: -5*y**2 + 8*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*o**2 - 2*o - 17*o - 3*o in the form h + x*o**2 + c*o and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 7 - 8 - l**3.\nAnswer: -l**3 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*t**2 - 8*t**2 + 44*t**2 + 0*t + 31*t**2 - t in the form r*t + w*t**2 + x and give w.\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -15\/247? (a) -3 (b) 1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 + 23123142?\nAnswer: 23123201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/((-24)\/(-6) + -3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -468072*m - 35880.\nAnswer: -468072","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) -63 (c) 0.5 (d) 37\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 72.27121 millilitres to litres.\nAnswer: 0.07227121","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -7 - 6880252?\nAnswer: -6880260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - 24*k - 1020 = -20*k - 1023, -13 = g - 7*k for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 3*g = -3. Suppose 5*j = 4*k + k + 15, j + k + 3 = 0. Suppose -6*z - 34 + 4 = j. Is g at least z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 13a0b47 + -5?\nAnswer: 13a0b42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = -8*j + 6 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 6*h**3 + h**2 - 16*h + 103. Let l be m(7). Suppose -s + 5*g = 3*g - 1058, l = 2*s + 5*g. List the prime factors of s.\nAnswer: 2, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2604?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*m = -13*m - 5*t - 24, -2*m = -5*t - 22. What is the third biggest value in 0.17, 0.1, m?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15 - 15. Suppose o = -p*o + 12. Let t = 15 + 31. What is the remainder when t is divided by o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 64.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 362 is divided by 176.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1604250 rounded to the nearest ten thousand?\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 3*k**2 + 1. Let u be a(1). Suppose 0 = x - u*b, -4 = -3*x + 4*b + 4. What is the second derivative of -j**x + 3*j**4 - j + 0*j wrt j?\nAnswer: 24*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - 1594 = 5*j - 1589, -2 = -2*d - 2*j for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0*1*((-4)\/8 - -1). Solve 0 = -3*q - 12 - o for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llmu when four letters picked without replacement from uluummluummmuumlllum?\nAnswer: 28\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 3*q - 8. Suppose -j + 42 = 4*h - 2*j, -8 = -4*j. Let m(p) be the first derivative of 3*p**2 - 15*p - 72. What is h*v(c) - 6*m(c)?\nAnswer: -3*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -285*r + 30847007 = -55957908 + 25082750. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1514332852?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*q**2 + 100*q**2 - 40*q**2 - 8*q**2 - 9*q**2 - 16*q**2 - 9*q**2.\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7879200?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jna when three letters picked without replacement from {n: 4, a: 1, j: 2, h: 2, e: 1}.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/839, 0.2, -5, 0.07?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, k: 7, p: 4, r: 5}. What is prob of sequence kpk?\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**2 - 110*w - 2451. What is s(-19)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 619313641 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 2 = -4. Let j(o) be the third derivative of 0 + 0*o**3 + 2*o**h - 1\/20*o**5 - 1\/12*o**4 + 0*o. What is the second derivative of j(u) wrt u?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 37 + -40. Let c(u) = 33*u**2 - 4*u. What are the prime factors of c(s)?\nAnswer: 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0013635933195 rounded to 7 decimal places?\nAnswer: 0.0013636","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 188395 and 246.\nAnswer: 1130370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 151*a + 1716. Calculate y(-9).\nAnswer: 357","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5997 - 13430667.\nAnswer: -13424670","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 - (1 + -2)*145. Suppose -66 = -5*b + 2*b + 4*f, 2*b - 3*f - 45 = 0. What is the greatest common factor of b and w?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00023311233 rounded to seven decimal places?\nAnswer: -0.0002331","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -15*w**2 + 15*w - 20. Let l(u) be the first derivative of -2*u**3\/3 + u**2 - 3*u + 2. Let g(x) = -3*h(x) + 20*l(x). Let j(p) = -2*p. What is j(g(s))?\nAnswer: -10*s**2 + 10*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -21460000 rounded to the nearest one million?\nAnswer: -21000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 744 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -19002 divided by -3167\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**3 - l**2. Let o be n(0). Suppose -3*u + 30 = -o. Suppose -10 = -3*p + 4*r + u, -27 = -3*p - 3*r. Does 4 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nhzzhzhhfhfnh. What is prob of sequence nhh?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -48*b**2. Let z(w) = -103*w. What is a(z(h))?\nAnswer: -509232*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 2*h - 8. Let c(j) = -j**2 - 6*j - 13. Let s be c(-9). Let o = 62 + s. Calculate the smallest common multiple of d(6) and o.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 780.7356t?\nAnswer: 780735600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(-4\/13)*c)\/c)\/c)\/(c**12\/c*c) assuming c is positive.\nAnswer: c**(-173\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1360056 to the power of 1\/3, to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1692\/324 - 1*4\/18.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -125.5 + 126. Suppose 2*p - 36 = -4*p. Suppose 0 = p*l - 11*l. What is the closest to 0.1 in l, -1\/3, a?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 625493 or 625253?\nAnswer: 625253","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(96)*3)\/(sqrt(33)\/(sqrt(77)\/sqrt(7))) + -2.\nAnswer: -2 + 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*x - 4*x + 1200 = 0. Suppose 0 = -17*d + x - 24. Solve 4*h - 3*z = 3 + 6, -9 = -2*h + d*z for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28195 = 5*h - 5*u - 7785, 0 = -2*u + 8. Round h to the nearest 1000.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 5*c**3 + 11*c**2 - 4*c. Let u(f) = -f**3 - 3*f**2 + f. Let z(i) = 4*u(i) + v(i). Let x(y) = -12*y**3 - 4*y**2. What is x(q) - 2*z(q)?\nAnswer: -14*q**3 - 2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -143, -626, -1497, -2768, -4451?\nAnswer: -6558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9287 (base 10) to base 13.\nAnswer: -42c5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*k**5\/2 - 735*k**4 + 732*k**3 + 735*k**2 - 1467*k\/2 = 0. Calculate k.\nAnswer: -1, 0, 1, 489","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.26*-34\nAnswer: 8.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01230757 to five dps.\nAnswer: -0.01231","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94*p - 19 = 25*p - 88, 2*k = -2*p - 2*p - 10 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(4\/9)*w*(w\/w**(3\/5))\/w*(w*w**(-2))**(-49) assuming w is positive.\nAnswer: w**(2243\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -314 + 316. What is the second biggest value in v, 11, -2\/9?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -4 + 8*r**2 + 4. Let o(h) be the first derivative of 5*h**3\/3 - 791. Calculate t(o(y)).\nAnswer: 200*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nhnn when four letters picked without replacement from hrrnnhhhhnnnhhnhh.\nAnswer: 9\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -427*b*s**2*w - 151386*b*s**2 - b*s + b*w + b + 27*s - w - 28468 wrt s.\nAnswer: -854*b*w - 302772*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1759602957 to the power of 1\/2, to the nearest integer?\nAnswer: 41948","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -141566081789.99 - 5\nAnswer: -141566081794.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**2 - 2256*f - 13428.\nAnswer: -3*(f + 6)*(f + 746)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1430*k - 1331*k = -891 for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jiitjeijitivejiieii. What is prob of sequence et?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -21*l**3 + 5*l**2 - 4*l - 1. Let a be z(2). Let t = 159 - a. What are the prime factors of t?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6524333 (base 7) to base 15\nAnswer: 10adee","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -72 - (23 + (-44 - 1)).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10 by 321535.\nAnswer: -2\/64307","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -3781 divided by 1?\nAnswer: -3781","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 10112831 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 398 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*d + 65 = 19*d. Suppose 2*g - 11 + 3 = 0. What is the remainder when d is divided by g\/10 - (-66)\/10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -22 + 30. Calculate the remainder when 31 is divided by z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3838 + 4672. Calculate the remainder when a is divided by 208.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11054 (base 8) in base 13?\nAnswer: 216b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 184 and 1.98?\nAnswer: 364.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 + 11. Suppose -b - d = 3*g - 16, -23 = -4*b + 5*g. Let l be 5\/((-20)\/(-52)) + 1. What is the highest common factor of l and b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 627\/5 + -125. Which is the nearest to f? (a) -13 (b) 1 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -148 - -155.15. Let m = 0.15 - z. Let g = -0.008 - -0.108. Which is the smallest value? (a) 0 (b) g (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 340\/90 + (-4)\/(-18). Suppose -6*b + 3*i = -7*b + 10, -u*i = -5*b + 12. Let z be b\/3*110*3. Round z to the nearest one hundred.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and 299.\nAnswer: 119.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (((-9)\/3)\/(-3))\/(23\/8201). Let l(p) = -11*p**2 - 7*p - 3. Let j be l(-6). Let t = j + o. Which is smaller: t or 1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -38*f + 423. Determine a(11).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (4 + -8 + 8 + 2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3741 - 522 = -93*a - 70*a + 52*a for a.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4589696 is divided by 1114?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(5082)*-5)\/((sqrt(864) - (sqrt(864) - sqrt(864)*-1))*6).\nAnswer: 55*sqrt(7)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 + 483\/(-14))*(-6)\/9?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:29 AM and 6:35 AM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4.37 + 385.63. Let l = 447.1 - y. Let i = -51 + l. What is i rounded to zero dps?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(4 + ((6*sqrt(350)*-1)\/sqrt(7) - ((sqrt(50) - sqrt(350)\/(sqrt(14)\/sqrt(2))) + sqrt(450) + -5))))**2.\nAnswer: -810*sqrt(2) + 4131","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 37*c + 3 + 7 + 32*c - 73*c. Let l(a) = a**2 - 5*a + 9. Let g(d) = -6*l(d) + 5*q(d). Let g(v) = 0. Calculate v.\nAnswer: 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 34 = 4*b + 17, -5*b = 4*g + 30. What is the biggest value in g, 20, 1?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:49 AM and 4:38 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4103 + 0.1.\nAnswer: -0.3103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*-8*4\/(-32)*1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/((-29)\/(348\/72)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/39 - 28\/(-13). Let f(w) = 2*w**2 - 3*w + 3. Let y be f(a). Solve 2*k - 20 = -5*d + 3*k, 0 = 4*d - y*k - 37 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the second derivative of i**6\/45 - 2*i**5\/5 + 10*i**4\/9 + 3*i - 72. Factor j(t).\nAnswer: 2*t**2*(t - 10)*(t - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 36 and 1854?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 177 = -33*j - 120 for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/36828 and -19\/13098492.\nAnswer: 39295476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.22 or -8321?\nAnswer: 0.22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -89.749994729 - -89.75. What is f rounded to six dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1003 + -3?\nAnswer: -1012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 - -2*1)\/1. Let l = -590 - -593. Sort 5, -1, l, q.\nAnswer: -1, q, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33\/265 and 31\/7?\nAnswer: 1855","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kn when two letters picked without replacement from {k: 1, t: 3, n: 3}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -3*x - 4*d, 3*x - d - 12 + 2 = 0. Solve -x*u + 14 = n, -u + 2*u - 2*n = 8 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -462\/835?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44743778?\nAnswer: 2, 22371889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 2*w = 5*b - 230, 4*b + 16 = 0. What is the greatest common divisor of 5 and w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 136488 and 10716.\nAnswer: 2593272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-eight fifths of a micrometer in nanometers?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1031 = 2*r + 3*l, 3596 - 1016 = -5*r - 5*l. Is -518 <= r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 138 + -141 - 4*1\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 + 8*x**2 + 14*x - 111. Give q(0).\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 158 divide 13796?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(320) + 5*(0 + sqrt(320)))**2*-5 + -2.\nAnswer: 172798","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -25*y**3 - y**2 - 20. Let h(q) = q**3 + q**2 - 1. What is c(x) + h(x)?\nAnswer: -24*x**3 - 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the third derivative of 0 + 4*i + 0*i**3 - 1\/3*i**4 + 18*i**2. Let m(c) = 8*c**2. Determine n(m(b)).\nAnswer: -64*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**4\/4 + j**3\/2 - j**2 - 2*j.\nAnswer: j*(j - 2)*(j + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -8*b**3 + 217*b**2 - 1238*b - 27. Determine h(19).\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 2*w = 144 + 8, -5*q + 2*w + 392 = 0. Let i(v) = -3*v**3 - 2*v**2 - 3*v - 2. Let r be i(-2). Calculate the highest common factor of r and q.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 196 is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the second derivative of -p**4\/12 + p**3\/6 + p**2\/2 - p. Let w(u) = 4*u**2 - 2*u - 2. Suppose -3*o + 15*o = 12. What is o*w(g) + 2*a(g)?\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/456 or 1?\nAnswer: 1\/456","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the first derivative of 5*p**6\/6 - p**3 + 6. Find the third derivative of s(g) wrt g.\nAnswer: 300*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 + -9. Let y = j + 9. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.5 in -2\/7, -1\/3, -3, -25, 337?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -221083 smaller than -221085?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**2 - 1. Let o(r) = -r. Let h(i) = 4*i**2 - 6. Let n(x) = -h(x) + 4*o(x). Let p(c) = -n(c) - 6*t(c). Determine q so that p(q) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*d + 152*d - 888 = -3288 for d.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -717 + 364 + 4*r**2 - 5*r + 9*r**3 + 356 wrt r?\nAnswer: 54*r + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20984632 to the nearest integer?\nAnswer: 4581","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/19 and 37\/68.\nAnswer: 1292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are -97 and 2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/(((-18)\/15)\/(42\/140)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.5 - -1. Let k = -10.4 - -10. Let m = 844 + -847. What is the closest to 1\/2 in h, k, m?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 352 - 535. Let t = -183.0000035 - x. Round t to 6 dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-5)\/(-6) + (-9601192)\/(-816)?\nAnswer: 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 times 16?\nAnswer: -208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -33\/7 and -36\/213241.\nAnswer: 213241","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12*z**4 + 0*z**4 + 10*z**4 - 8*z - 3*z wrt z?\nAnswer: 264*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the second derivative of 164*a**5\/5 - 175*a**4\/12 + 576*a. What is the third derivative of y(b) wrt b?\nAnswer: 3936","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -4*x - 6. Let p(h) = h - 1. Suppose -77*q + 153*q + 1185 = -161*q. Determine q*p(t) - z(t).\nAnswer: -t + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -85 - -82. Let x = 2.5 + z. What is the smallest value in x, -9, -1\/4, 1\/10?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 11 = -3*r - 1, 0 = -5*j + 4*r + 16. Suppose 5*z - 62 - 13 = j. Calculate the highest common factor of 6 and z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 - 5. Suppose 0 = q*v - 5*v - 6. Let y = 25\/12 + -83\/36. Put -2\/5, y, v in ascending order.\nAnswer: v, -2\/5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-760)\/(-1710)*(-15)\/(-8).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 71.77308 nanograms in kilograms?\nAnswer: 0.00000000007177308","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 295 is divided by 17?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from {h: 4, k: 6, l: 5}?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6063*f**2 + 16106*f**2 - 1866 + 2410*f**2 + 1866.\nAnswer: 24579*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/((-6)\/(-7)) - -3. Put 2, d, -2 in ascending order.\nAnswer: d, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -154.1 and -108.9?\nAnswer: 16781.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 180\/60*(1\/(-575))\/((-3)\/5)?\nAnswer: 1\/115","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18\/25 - 28\/25. What is the smallest value in -2\/3, x, 84, -0.3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -75, -84, -93, -102, -111, -120?\n\"Answer: -9*c - 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59*c + 52*c + 54*c + 66*c - 361*c + 63*c + 64*c.\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes before 8:00 AM?\nAnswer: 10:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-22)\/(-4))\/((-2)\/(-4)). Suppose -278 = -10*l - 258. What is the first derivative of -6*x**2 - 19 + 11 + s*x**l wrt x?\nAnswer: 10*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*(b\/b**1)\/b)**(-50)\/(b**(-1\/7))**(3\/5) assuming b is positive.\nAnswer: b**(3\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -145, -393, -821, -1435, -2241, -3245, -4453, -5871?\n\"Answer: -i**3 - 84*i**2 + 11*i - 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**3 + o**2 + 2*o + 1. Let r(m) = 116*m**3 - 2*m**2 - 2*m - 4. Determine -b(g) - r(g).\nAnswer: -117*g**3 + g**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 + 2)\/((-133)\/(-38)). What is the closest to 0.1 in 5, s, -3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 227*z - 2917. What is the remainder when 112 is divided by y(13)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-9)\/(-2)*(-92)\/(-138). Suppose -5 = -5*o, -f*i = -4*o + o - 9. Solve -x + 2*j = -5*x - 4, -5*x - 18 = -i*j for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 221929 and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the third derivative of -23*j**7\/105 - j**5\/60 - 283*j**3\/6 - 1303*j**2. What is the first derivative of c(n) wrt n?\nAnswer: -184*n**3 - 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4948 is divided by 130.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 224276569 - 0.018.\nAnswer: 224276568.982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 2524602782?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 164 (b) 1\/5 (c) -0.47 (d) 1\/4 (e) -3 (f) -54\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 8 + -5 + 2 + -2\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*a**3 - 109*a**3 - 30*a**3 - 97*a**3.\nAnswer: -267*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 161647419 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2127 - -2128. What is the second smallest value in -2, -2\/3, v?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -0*j + 4*j. Let y be 15\/60 + 41\/(-4). Let u be (y\/(-4))\/((-2)\/j). Solve -6*l + l - u*r = 50, -15 = 3*r for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1546\/(-2319) + (16\/6)\/2. Let c be 2 - 1*4 - -2. Let 17\/3*v**2 - 13*v**3 - y*v + 8\/3*v**4 + c + 16\/3*v**5 = 0. What is v?\nAnswer: -2, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 7 = 3. Suppose -5*g = -g - 56. Let s = g + -10. Solve -5*t + 0 = c*z - 25, -t + 17 = s*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25561541 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/(-10) + (-4)\/5. Let t = -9430.1 - -9431.1. Which is the nearest to o? (a) -2\/3 (b) t (c) -1 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from agyyyyaaay. What is prob of sequence ayy?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114*q + 33*q - 441 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 12) in base 14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1037813 * -46\nAnswer: -47739398","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 812\/3 + -8776\/33. Find the common denominator of m and (8\/9 + -2)\/(4\/(-51)).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13 (base 9) to base 7.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 62 and 4.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11 - -47. Calculate the highest common divisor of b and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -5*i**4 + 40*i**3 + 1020*i**2 - 12400*i + 32000 = 0?\nAnswer: -16, 4, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -445 + 412. What are the prime factors of (4101\/f)\/((-3)\/33)?\nAnswer: 1367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the second derivative of -h**7\/168 - h**6\/60 + 3*h**5\/80 + 8*h. Let b(y) = 0. What is y?\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3001 - -4012. Which is smaller: 0.1 or f?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uxuquxuxuqzqquuxzx. What is prob of sequence zzu?\nAnswer: 7\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + r + 7 = 0, -o - r + 4*r - 1 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -100001000100 (base 2) in base 5?\nAnswer: -31431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5802019 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, 0.4, -0.5 in decreasing order.\nAnswer: 0.4, -0.5, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 times -45209?\nAnswer: -3029003","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -32.109 - 0.17?\nAnswer: -32.279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 19, -78, -13 in decreasing order.\nAnswer: 19, -13, -78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -5*m**3 + m**2 + 2*m + 1. Suppose 2*a - 3*a = 1. Let y be c(a). Suppose -4*t + 2 = -2*u + 28, y*u = -2*t + 29. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/6*106\/(-159)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 4522184.6 to the nearest one hundred thousand.\nAnswer: 4500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 105 - -31237721?\nAnswer: 31237826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0824487 rounded to 4 decimal places?\nAnswer: 0.0824","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 13 + 4 + -4 - 2. Suppose -3*s + r*s = 224. Calculate the highest common factor of s and 224.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-4 + 4*(3*sqrt(1573) - sqrt(13))**2*1) + -2 + -3.\nAnswer: 106483","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 536*h**2*j*p + h*j*p + 2*h*j + 15*h + 39*p wrt h?\nAnswer: 1072*j*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from altlaxl. Give prob of picking 1 t and 2 l.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/1106 (b) 0.5 (c) 0.3 (d) 7\/6 (e) 12.8 (f) 0.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (16 - (28 - 44 - (-13 + 1))) + 1 + -8?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 327.002327685 minus 9?\nAnswer: 318.002327685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 - -964544?\nAnswer: 964544.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -36*47\/3807*54?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4039 and 14567.\nAnswer: 8405159","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 + (12 - (3 + (-23 - -37)))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7215 and 91?\nAnswer: 50505","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 423254 is divided by 60462?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h - 8098 - 301902. Suppose r + h = -0*r. What is r rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -555136 or -555143?\nAnswer: -555143","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 117679001?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 4*o + 19. Let k be (-15)\/o - 3\/(-6). Solve a - k = 4*n - 20, 11 = 3*n + a for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(77)*2 - sqrt(77))\/sqrt(7))**2 - sqrt(11)) + -2*sqrt(891) - (sqrt(77)\/sqrt(7)*5 - (sqrt(704)\/sqrt(4) + sqrt(11))).\nAnswer: -19*sqrt(11) + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 99.556ng in kilograms?\nAnswer: 0.000000000099556","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -173 - -185. Suppose -64\/3*l**3 + 8\/3*l**2 - 8\/3 + 0*l**4 + 28\/3*l + x*l**5 = 0. What is l?\nAnswer: -1, 1\/3, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 10 = -5*n - 6, -4*n = 5*r + 18. Let l(d) = -17*d + 2. Let k be l(n). What is the greatest common divisor of 12 and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 0 + -1 + 3 - (230 - 165 - 102).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let i be 38\/57 + 4\/3. Suppose 2*p = p + 8. Suppose -19 = -5*w - 4. Solve -3 = -a - 2*s, -p*s + 3*s = -w*a - i for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + 15 = -4*w - 3, 0 = 4*w + 16 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (11\/(220\/90))\/(32\/64)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 91730 to the nearest integer?\nAnswer: 303","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 12\/2 + 1\/(-1). Suppose -3 = x - 4. Let l = u - x. What is the greatest common divisor of l and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 149949833?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 8*o**2 + 5*o + 6. Let s(v) = 2 - 2*v**2 + 5*v**2 + 2*v + 0. Determine 11*s(r) - 4*w(r).\nAnswer: r**2 + 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7974 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -24*s**2. Let h(f) = -5*f**2. Calculate k(h(u)).\nAnswer: -600*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -433 + 3*m + 4*m - 6*m + 57 - 244 as o*m + l and give l.\nAnswer: -620","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 4*n - 3. Let h(j) = 2*j - 8. Let z be h(4). Suppose 2 + z = i - 4*s, -2*s = 0. Let r(t) = i*t - 85 + t + 0*t + 82. Give 5*f(b) - 6*r(b).\nAnswer: 2*b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 12 = s, -2*m + 0*s + 7 = -s. Suppose 0 = -z + m + 1. Let c be 6*1\/(z\/4). Solve -4*y = y - 25, c*n + 19 = 3*y for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the third derivative of -b**6\/30 - 6*b**5\/5 - 35*b**4\/2 - 392*b**3\/3 + 4*b**2 - 961*b + 2. Suppose a(l) = 0. Calculate l.\nAnswer: -7, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xhhhhhhxhhyyhhh. Give prob of picking 4 h.\nAnswer: 22\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -7135*v**3 - 5*v**2 + 6*v + 7. Let p be q(-10). Suppose -3365553 = s + p. What is s rounded to the nearest 1000000?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 9 - 1 - 32\/8. Let h be -1*1 - (-4)\/1. What is the first derivative of -h*i**4 + 1 + 0*i**c + i**4 wrt i?\nAnswer: -8*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2266906836 a multiple of 10852?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 46 = t. Does 7 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/3)\/(2\/12) - 3. Let j be (h - -5)*-1*(-10)\/(-4). Solve -4*m = -4*c + 32, 4*c - 12 = -m - j for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -m - 3. Let d be (2 - -8)*m\/(-10). Solve d*w + 5 = -w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d - 6*d = -12. Let x = -10 - d. Is x + 3 + 0 + 20 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 261.6 rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -4*f - 4. Let d(x) = 3*x**2 - 15*x + 12. Let m(g) = -4*g**2 + 16*g - 12. Let k(r) = f*m(r) - 3*d(r). Let t be k(11). Solve -t = -a + 3*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 217048 to the nearest integer?\nAnswer: 466","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 192\/(-14)*1813\/(-1036).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1262?\nAnswer: 2, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 195291?\nAnswer: 3, 2411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**2 + 2*q + 2. Let x be v(-3). Suppose -15 = x*m - 65. Solve 0 = -2*n - m, -5*r + 0*n + 35 = -2*n for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -5 (b) -1\/14 (c) 18\/37289 (d) -2 (e) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6701883 nanometers in centimeters?\nAnswer: 0.00000006701883","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-7) - ((-2682)\/(-27))\/(84\/(-18)). Solve 0 = -3*f + x*n - 23*n - 25, 20 = -4*n for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7*(-897)\/(-161))\/9.\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 57899\/208791240 + -1\/54035. Let x = i - 2229539\/42504. Let u = x - -55. Calculate the common denominator of u and 47\/11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {g: 5, j: 1, x: 6, y: 4}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i. Let z(l) = 2*l**3 + 2*l**2 + 6*l. Suppose -29 = 4*b - 5*a, -b - a + 2 + 2 = 0. Determine b*z(c) + 5*k(c).\nAnswer: -2*c**3 - 2*c**2 - c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7994)\/(-364) + 3\/234*3.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 106251, 212220, 318189, 424158, 530127?\n\"Answer: 105969*i + 282","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the second derivative of d**4\/12 + 2*d**3\/3 + d**2\/2 - d. Let a be -1 - 0 - (-1 + -3). Let k be a\/(1 - (1 + 1)). Give f(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 346796.73 rounded to the nearest 10000?\nAnswer: 350000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3993\/5 + 802. Calculate the common denominator of o and -52\/29.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -2*m - h, -2*h = 2*m + h - 4 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**3 - 5*r**2 - 9*r - 15. Suppose 8*o = 5*o - 18. Let w be l(o). Calculate the remainder when (-52)\/10*w\/(-30) is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17 + 3. Suppose 0 = -7*a + 2*a + s. Suppose 25 = a*o - 59. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times -91835161?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 873 = -617. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqq when three letters picked without replacement from quuququuqq.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f + 4. Let r(o) = 2*o**2 + 15*o - 5. Suppose y - 3 = 2*y - s, 3*y = 4*s - 4. Let d be r(y). Let i be (d\/(-5))\/(-3) + (-676)\/130. Calculate h(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 77 + -72. Let y(s) = 3*s**3 - 14*s**2 - 7*s + 12. Let f be y(i). Calculate the greatest common divisor of 50 and f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7926521*d**3 - 424438*d**2 - 4*d wrt d?\nAnswer: 47559126","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Expand (k**3 - 7*k**3 + 2*k**3)*(-3*k + k + 3*k - k + 0*k + 0*k + (-3 + 3 - 1)*(4*k + 2*k - 4*k))*(3*k - 3*k - 3*k).\nAnswer: -24*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, g: 3, r: 2, u: 4, v: 1}. What is prob of picking 1 r, 1 g, 1 v, and 1 u?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 6801\/340 > 20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 137996812.\nAnswer: 2, 137, 419, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/3 - (-302)\/(-15). Let m = w - -20. What is the second biggest value in 0.4, -4, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the first derivative of -2*z**2 + 877. Let t(h) = 23*h**2 - 5*h + 5. Let i(y) = 23*y**2 - 4*y + 4. Let p(x) = 5*i(x) - 4*t(x). What is w(p(g))?\nAnswer: -92*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.6227 and -0.0873082.\nAnswer: 0.5353918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1391, -1391, -1407, -1451, -1535, -1671, -1871?\n\"Answer: -2*d**3 + 4*d**2 + 2*d - 1395","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -26*z. Let o(l) = -5*l**2 + 4. Let c(m) = -6*m**2 + 5. Let i(x) = -4*c(x) + 5*o(x). Calculate b(i(r)).\nAnswer: 26*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 - 18 = 2*h. Which is the nearest to -2\/11? (a) 0.5 (b) 1\/5 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -82 + 46. Let x be b\/30 + 1 - (-26)\/5. Solve x*g = 3*g - 10 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4156, -8322, -12490, -16660, -20832, -25006?\nAnswer: -29182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*v - 66 = -11 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-30*v**4 + 5 - 3 - 2*v**2 + 31*v**4)*(-231 - 283 - 26) to p*v**2 + c*v + q*v**3 + j + f*v**4 and give p.\nAnswer: 1080","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4574 by -2.\nAnswer: -2287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**3 - 1186*g**2 + 108288*g + 1473696.\nAnswer: 2*(g - 476)*(g - 129)*(g + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4895836?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z - 115 - 130. Suppose -40*v + 36*v + 28 = 0. What is the greatest common divisor of z and v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes after 12:28 PM?\nAnswer: 2:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 393 bigger than -988?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (4 - (6 - 5)) + -2 + 6\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - 17\/8 - (33891\/616)\/(-39)?\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-100945.\nAnswer: -201890","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum 22.03 and -0.717.\nAnswer: 21.313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 27277 + -6308?\nAnswer: 20868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11)\/((-858)\/(-36)) + (-63546)\/(-2314).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10 in -3, 1\/9, 43, 3, 0.091?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -9776, -9773, -9770?\n\"Answer: 3*m - 9779","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - 0. Let c(o) = o - 16. Suppose -81*h + 144 = -72*h. Let z be c(h). Solve j = -l + 4*p + 2, z*p = -4*l + p + 8 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 266.522*3.\nAnswer: 799.566","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -3*z**2 + 35*z. Let k(c) = -7*c**2 + 70*c. Let s(r) = 9*g(r) - 4*k(r). Let l(x) = -x. Calculate s(l(u)).\nAnswer: u**2 - 35*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b + 2*b + 3*b)*(0*b + 0*b - 2*b) + (2*b + 4*b - b)*(-4*b + 3*b + 0*b) - 3*b**2 + b**2 + 0*b**2.\nAnswer: -11*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 40355.23408 rounded to the nearest integer?\nAnswer: 40355","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 210.8 - 209.8. Let p = -9 - -7. Let g = p - -1.8. What is the nearest to 1 in g, -0.3, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t + 2*r + 10, -4*t = -77*r + 74*r - 11. Calculate the highest common factor of 107 and t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the second derivative of 0*c**6 + 1\/3*c**4 + 0 - 4*c + 0*c**5 + 0*c**3 - 2\/21*c**7 + 0*c**2. Find the third derivative of p(j) wrt j.\nAnswer: -240*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 89 + 10*z**2 - 147 + 4*z**2 + 246 - 15*z**2.\nAnswer: -z**2 + 188","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2142 = 79*s - 82*s. Is s a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*(w**11*w)\/w*w*(w**(-10)*w)\/w assuming w is positive.\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 357889 = 67*x + 360100 for x.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**(1\/3)*r**(-10))**(-2\/7))**(-1\/36))**(-35) assuming r is positive.\nAnswer: r**(145\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2*21.0847\nAnswer: -42.1694","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a millimeter in nanometers?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 175646?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -273.11289167 to the nearest ten.\nAnswer: -270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -42*(-4)\/(-10)*(-15)\/9. Let y = n - -71. List the prime factors of y.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/8 in -0.1, -1, 209, 4\/9?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -134 - -190. Suppose 30*s + 64 + q = 0. Which is the second smallest value? (a) s (b) -1 (c) -0.16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 11*q**2 - 3*q - 9. List the prime factors of g(4).\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjjsjswjjssjjjjy. Give prob of picking 2 s.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 16 (b) 1 (c) -0.8 (d) 0.2 (e) -9840\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q**5\/3 + 14*q**3\/3 - 4*q**2\/3 - 8*q + 16\/3 = 0.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -32 + 29.7. Let u = 2519314.700047 + -2519317. Let f = m - u. What is f rounded to five dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3148 (base 13) to base 7\nAnswer: 25612","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13139 + -7613. Does 36 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:40 PM and 5:43 PM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:29 PM and 6:35 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 2*p**3 - p - 1. Let q(l) be the third derivative of l**6\/30 - l**4\/8 - l**3\/3 + 11*l**2. Let k be 3*(-2)\/(-9)*-3. Determine k*q(v) + 5*t(v).\nAnswer: 2*v**3 + v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6342 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 33233 (base 4) to base 3\nAnswer: 1101022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 14150?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*i - 9*i - 26040 = 17*i. Calculate the greatest common divisor of i and 341.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 3 + 18*s - 5 - 31*s + 14*s. Let t(g) = -3*g + 9. Give -2*t(r) - 9*v(r).\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 24746978 a multiple of 838?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the third derivative of -27*n**7\/70 + 189*n**6\/5 - 738*n**5\/5 + 244*n**4 - 216*n**3 + 815*n**2 - 2*n. Factor j(t).\nAnswer: -3*(t - 54)*(3*t - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6 + (-2)\/(1 + 1). Suppose l*p = 54 - 9. Calculate the least common multiple of p and 1.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -853 + 855.985. Let b = j - -0.015. Let d(q) = -q**3 - 5*q**2 - q + 1. Let a be d(-4). Which is greater: a or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 663896?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -2*y**2 - 85*y + 215. Determine w(-45).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2337 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1092 = 318*w - 276*w. Solve w + 14 = 10*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84)*-6 + (sqrt(63)*-1)\/sqrt(3))\/(sqrt(147)*2 + (sqrt(3) - sqrt(300)*2)) + -1.\nAnswer: -1 + 13*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Express (8*n + n + 0*n)*(-200*n + 155*n + 45*n + 970*n**3) in the form g + z*n**3 + r*n**2 + p*n**4 + k*n and give p.\nAnswer: 8730","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.8 + -0.3. Sort -1\/2, c, -2.\nAnswer: -2, -1\/2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (1 + sqrt(363) - sqrt(3)) + (-3*(sqrt(3) + 0))**2.\nAnswer: 10*sqrt(3) + 29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 5*l**3 - 5*l**2 - 2*l**3 + 6*l - 2*l**3 - 3. Let a be p(4). Let f(z) = -z**3 + 12*z**2 - 12*z + 9. Let n be f(11). Sort -4, n, a in decreasing order.\nAnswer: a, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 29080*p**3 + 213817*p**2?\nAnswer: 174480","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-178)\/(-1335) - (98\/(-9660))\/(2\/8)\nAnswer: 4\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l + 12. Let j be y(-7). Suppose -4*f - f = -x + 47, 49 = 2*x + j*f. What are the prime factors of (-2)\/((x\/124)\/(-4))?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -2*m**2. Let s(h) = -319*h**2 + 2 - 309*h**2 + 638*h**2 + 1. Calculate f(s(q)).\nAnswer: -200*q**4 - 120*q**2 - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2800?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3905 + 21411. Is u a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r*r*r\/(r**(2\/9)*r)*r*r**(-6)*(r\/(r*(r\/(r*r**2))\/r*r))**9*(r**(2\/5))**(-22)\/(r**(-2\/7)\/(r*r**(-1))) assuming r is positive.\nAnswer: r**(2288\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00019373889 to 6 decimal places.\nAnswer: 0.000194","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -7621.75801 to the nearest integer.\nAnswer: -7622","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.54 + 0.286?\nAnswer: -5.254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -32920 + 32924. Calculate the lowest common multiple of 31470 and u.\nAnswer: 62940","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53301 to the power of 1\/3, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -3*q**2 - 3*q - 3. Let t be -5 + 1\/(56\/296) + (-184)\/56. Give c(t).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*l**5 + 9*l**4 - 268883*l**3 - 45477230*l**2.\nAnswer: -120*l**2 + 216*l - 1613298","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 93315?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 295513 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 500 (base 10) to base 14\nAnswer: 27a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1350\/60)\/((-2)\/(-12)). Suppose 0*f = 2*f + 3*v - 57, 5*v - g = -5*f. Solve -2*d - 3*d - 15 = 0, -4*h + f = -4*d for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 13*q**3 - 5*q**2 - 3*q. Let d(f) be the second derivative of -19*f**5\/20 + 7*f**4\/12 + 5*f**3\/6 + 4*f - 156. Determine 5*d(y) + 7*g(y).\nAnswer: -4*y**3 + 4*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 588 and 756070.\nAnswer: 4536420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + y + 2848, l + l + 3*y = 1917. What is the tens digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(891) + (sqrt(891) - (sqrt(891) + (2 + sqrt(891))**2)) + 2 - (2 + -4*sqrt(891)) - (-2*(sqrt(891) + -2) + -2*(2 + sqrt(891))).\nAnswer: -895 + 45*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 74363.51 litres?\nAnswer: 74363510","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + (6 + 3 - 11).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00015387246 rounded to seven decimal places?\nAnswer: -0.0001539","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**3 - 5*d**2 + 2*d - 2. List the prime factors of u(6).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -6*c**2 - 18*c + 5. Let k(o) = -6*o**2 - 15*o + 4. Determine -4*k(h) + 3*v(h).\nAnswer: 6*h**2 + 6*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*i**3 - 7*i**3 + 16*i**3 - 8*i**3 - 6*i.\nAnswer: -i**3 - 6*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h = 3*q - 9, -12 = -2*q + 2*h - 3*h for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (8 + 206\/(-26))*13. Let y = -409\/6 + 68. Put d, y, 3\/4 in descending order.\nAnswer: d, 3\/4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -5*o + o + 4*d, d + 6 = 2*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 24, 41, 62, 81, 92?\n\"Answer: -j**3 + 8*j**2 + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -2*c**3 + 2*c**2 - 5. Let j = -3 - -7. Let m be i(j). Let p = -48 - m. What are the prime factors of p?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 - 1)*(-7)\/(-7). Suppose q*c + 35 = 2*c - h, -7 = -c - 3*h. Solve 5*p + c = -z, 4*p + 5 = 3*p - 2*z for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 68009940?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w + 2. Let l be f(-2). Find the first derivative of -6*v**4 + 13 - 10 + 3*v**l wrt v.\nAnswer: -12*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 27, 30, 33, 36, 39?\n\"Answer: 3*f + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(1\/4)\/l)**(-1\/12) assuming l is positive.\nAnswer: l**(1\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and -0.1.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -u + 2760, -4*u - m + 8496 = -2478. Is 21 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 2*u**4 - 4656*u**3 + 2787140*u**2 - 89300832*u - 92092630 = 0.\nAnswer: -1, 35, 1147","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -155868992 divided by -2435453.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/4*2)\/(((-522)\/(-44))\/(4158\/(-7623)))?\nAnswer: 2\/87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -41613926*s + 34219673 with respect to s.\nAnswer: -41613926","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v + 10. Let y be q(5). Suppose -y*a = -6 - 4. Let d = 5 - 5. Solve 2*s + s - 12 = d, -2*k = a*s - 16 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 4*w + 66, -4*x = 5*w - 21 - 67. Suppose x*m = 25*m - 6. Suppose 3*y - 7 = s - 21, 42 = 5*s - y. Are m and s nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -j**4 - j**4 + 3*j**4 + (0 + 0 + j**2)*(1 - 1 + j**2) + (0*j - 2 - j + 2*j)*(-14*j**3 + 5*j**3 + 4*j**3).\nAnswer: -3*j**4 + 10*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -64*g + 12. Let s(d) = 65*d - 10. Let c(p) = -5*m(p) - 6*s(p). Let k(f) = -2*f. Calculate c(k(b)).\nAnswer: 140*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 33, 120, 259, 450, 693, 988?\n\"Answer: 26*n**2 + 9*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -54.8206455 rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.02 and 30492.\nAnswer: 30491.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -2*v**3 - 34*v**2 + v + 17. Let s = 961 - 978. Let f be z(s). Suppose 18 = 5*a - 4*r, -5*a - 4 = -2*a + 5*r. Solve f = a*l + 10 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -3917721, -3917721, -3917719, -3917715, -3917709, -3917701?\n\"Answer: w**2 - 3*w - 3917719","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -1 - -9 - (-5 + 13)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 4*r + 4. Let m(a) = 3*a + 0 - 5*a + 2. Calculate the smallest common multiple of m(r) and 5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -9*k - 13. Let u be w(-2). Let c be (-5 + u)\/(0 + 1). Let n = -0.3 - 2.7. What is the closest to 2 in n, c, -4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -16.2 and 5.\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d = 2*d + 30 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-4)*(-2)\/3.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 9*j - 4. Let z(o) = -3 + o + o**2 + 1 + 1 + 0*o**2. Let p(h) = m(h) - z(h). What are the prime factors of p(5)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + 4*a = a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*p**3 + 3*p**3 + 15*p - 15*p + 4*p**3.\nAnswer: 4*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-84 + 84 - 2*t)*(789 + 785 - 337) in the form l + k*t and give k.\nAnswer: -2474","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**4\/6 + 32*u**3 - 3007*u**2\/2 - 9409*u\/3.\nAnswer: -u*(u - 97)**2*(u + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 21012677 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(2\/11)*u\/u**6)**1 assuming u is positive.\nAnswer: u**(-46\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 2*w + 2. Suppose z - 6 = 3*z. Let d be r(z). What is the tens digit of (-2 - (-3 - d)) + 20?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -2*h**2 - 7*h - 3*h + 5*h - 4 + 6*h**2 + h**3. Determine w(-4).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*((sqrt(88) + 3*sqrt(88) - sqrt(88)) + sqrt(88)) + sqrt(88))\/(3*-2*sqrt(8)) + (4*(sqrt(99) + -1) - (-1 + sqrt(396)\/sqrt(4))))**2.\nAnswer: -33*sqrt(11) + 1367\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 661333 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**2 + m + 1. Let g(d) = -d**2 + 2*d + 22. Let f(v) = -v + 4. Let h be f(2). Let x(b) = h*i(b) - g(b). What is the first derivative of x(n) wrt n?\nAnswer: 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -3*v**3 - 9*v**2 + 6*v - 9. Let h be t(-6). Calculate the greatest common factor of 124 and h.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 5404374, 5404418, 5404462, 5404506, 5404550, 5404594?\n\"Answer: 44*m + 5404330","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3.67 + -116.93. Let d = 121 + a. What is the closest to 1 in d, -0.07, -0.5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*z + 17*z + 11*z - 33*z.\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 23 - 18. Suppose 0 = -y*q + n + 196, 2*q - q - 4*n - 24 = 0. Suppose 0 = 3*t - 112 + q. Is 24 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttqtttqttqtt. Give prob of sequence qttt.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/((-45)\/12) - (-1371 + 1372))\/(3\/110).\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l**4 - 510*l**3 - 9880*l**2 = 0 for l.\nAnswer: -76, -26, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -4*t**3 - t**2 - 14*t - 26. Let i be x(-2). Solve 10*c - i = 16*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 81 - 80. Let i = -2 + 1.5. Put i, 2, a in decreasing order.\nAnswer: 2, a, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50146577 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -326*x - 2068. Let w be y(-18). Calculate the greatest common factor of 304 and w.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 at least as big as 31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 105 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ngn when three letters picked without replacement from gngn?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add -36669301931 and 34.8.\nAnswer: -36669301896.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 2 r when four letters picked without replacement from {e: 1, s: 4, r: 2}.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2961 and 267107157?\nAnswer: 1869750099","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 49127 a multiple of 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**2 + h + 3. Let s be c(-3). Suppose a + 5 = y + 2, 2*y + 3*a + s = 0. Suppose -3*d + 6*j - 4*j + 32 = y, d = -5*j + 5. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5833 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 227*h = 227*h + 551*h + 83*h + 5706 for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**3 + 956*o**2 - 114242*o.\nAnswer: -2*o*(o - 239)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1945 is divided by 48.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -28939070*p**4 + 580*p**2 - 278*p.\nAnswer: -694537680*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 take away -1006.26614?\nAnswer: 1229.26614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.1 - -0.4. Let v = 4.5 - m. Let s = 11\/14 - -5\/7. What is the closest to 0 in v, 0.4, s?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59 - 59 - 9*a.\nAnswer: -9*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*d**5 + 24*d**4 + 10*d**3 - 672*d**2 + 640*d = 0. What is d?\nAnswer: -5, 0, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*p**2 + 1530 + 2*p**2 - 1713 - 12*p**3 in the form s*p**3 + j + d*p + k*p**2 and give s.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes before 9:05 AM?\nAnswer: 1:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 245*q + 9 = 240*q, -15*a + 7*q + 45 = 4*q for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-44)\/14 - 1 - 1\/(-7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 10, z: 2, v: 5, a: 3}. Give prob of sequence vvzz.\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -9, -83, 178.\nAnswer: -83, -9, 5, 178","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 38, -4, -92, -113, -1, 3 in increasing order.\nAnswer: -113, -92, -4, -1, 2, 3, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1*(-1 + 2 - -1). Let k = 0.6 - 0.9. Let b be (-4 - -2) + (-16)\/(-6). What is the biggest value in b, k, u?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -21449? (a) -2\/7 (b) 1 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the second derivative of -v**8\/7840 - v**7\/1764 - v**6\/1260 - 2*v**4\/3 + 5*v. Let w(s) be the third derivative of g(s). Factor w(y).\nAnswer: -2*y*(y + 1)*(3*y + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 1941*l + 76. Let o be k(5). Let i = o - 117499\/12. What is the common denominator of 65\/128 and i?\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2292, 3866, 5440, 7014?\n\"Answer: 1574*w + 718","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o*o**(-2\/51))**(9\/5)*o**9*o**(10\/7) assuming o is positive.\nAnswer: o**(1661\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 39548471 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 55485 a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 46*f**3 - 113470*f**2 - 311394*f wrt f?\nAnswer: 276*f - 226940","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/14 - 107943299\/585123. Let a = -191377\/1043 - z. Let l = a + -2\/357. Calculate the common denominator of 97\/4 and l.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2590 + -1532. Suppose 23*x - 3082 = -y. Does 11 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33 = 3*v - l - 38, -4*l = -2*v + 20 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange x**2 - 3*x**2 - 9*x + 11*x**2 - 7*x**2 to r + y*x**2 + d*x and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1409 take away -1683372?\nAnswer: 1681963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -10*u + 40. Solve u*y - y + 5 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 25146*l + 25087*l)*(-l + 4*l - 2*l).\nAnswer: -59*l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 26*h - 45. What are the prime factors of p(11)?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18 - 3*h**2 + 18 + 3*h to d + b*h**2 + m*h and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 31952 divided by 4\nAnswer: 7988","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*w + 46*w + 18 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3537\/5 - 705. Find i such that 12\/5*i**4 - 6\/5*i**3 + 9\/5*i**5 + 0 - w*i**2 - 3\/5*i = 0.\nAnswer: -1, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1166.873 to the nearest integer.\nAnswer: 1167","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zxxgxggg. What is prob of picking 1 z and 3 g?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6040741?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 371 and 17095309.\nAnswer: 17095309","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 3*l + 29 = 0, 2*q = 3*q - l - 13. What is the remainder when 37 is divided by q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1128402*s**2 - 564128*s**2 - 564278*s**2.\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - d + 153475 = 0, -4*d - 613964 = -0*u + 4*u. Round u to the nearest 1000.\nAnswer: -153000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26742029 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 285234.\nAnswer: 2, 3, 137, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 72\/(0 + 6) + -66 + 47.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 4)*(-1 + 1 - 2)*(5*u - 2*u - 5*u).\nAnswer: 8*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -3*s. Let o(j) be the second derivative of j**6\/240 - j**4\/6 - 2*j. Let f(m) be the third derivative of o(m). Calculate w(f(p)).\nAnswer: -9*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -4*r + 26. Let f = r - 10. Factor 1\/2*s**f + 2 - 2*s.\nAnswer: (s - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13827 is divided by 1662.\nAnswer: 531","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -20*k**2 - 91*k + 418. Determine i(-6).\nAnswer: 244","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 1 y when three letters picked without replacement from {w: 2, g: 6, y: 3, m: 3, u: 5, o: 1}.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3284 - 153*c**2 + 4454*c**2 + 2557 + 488*c**2 wrt c.\nAnswer: 9578*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -2*b - 9. Suppose -3*f + 2*f - z = 1, 3*z = f + 21. Let s be p(f). Suppose 0 = -s*d - 7 + 46. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*x**10*x*x**(2\/13)*(x**(-7\/2)*x)\/x*x**(-6) assuming x is positive.\nAnswer: x**(69\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14379 is divided by 1200?\nAnswer: 1179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 2 j, and 1 r when four letters picked without replacement from {i: 1, h: 1, j: 8, r: 2, l: 1, y: 1}?\nAnswer: 8\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*2*sqrt(91)*-4*1)\/(sqrt(343)*1 + sqrt(567) + sqrt(567) + (sqrt(567) - sqrt(567)*-1)))**2.\nAnswer: 13312\/1849","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -52 equal to 1\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 8*j**3 + j**2 - 3*j + 3. Let h be b(1). Solve -8 = h*n - 5*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -3*b**3 - 30*b**2 - 25*b + 16. Give c(-11).\nAnswer: 654","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes before 6:17 PM?\nAnswer: 3:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-150)\/(-20))\/((-258)\/2752)\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.2 and -32.1?\nAnswer: 32.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1*(-2)\/3 + 436 + -436. Let n = 0 + -0.4. Let f = -0.3 - n. Which is the closest to f? (a) -2\/3 (b) -3 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-219)\/(18\/(-48)*-4). Let a = -146 - q. Solve 2*n - 6*n + i - 11 = a, 14 = -4*n + 2*i for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**2 + 3*g - 4. Let b be (-6)\/4*-2 + (8 - 8). Determine x(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 37084935, 0 in ascending order.\nAnswer: -5, 0, 37084935","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2b7 - 4?\nAnswer: 2b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times 20942?\nAnswer: 4188.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 258 and 2?\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1224 divided by 136?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**3 + 5*b**2 - 2*b - 4. Let y be z(4). Suppose -y*m = -129 + 5. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**2 + 7*o + 3. Calculate d(6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 82 and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -28980 by -2.\nAnswer: 14490","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 508\/381*30\/(-4)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes after 5:37 PM?\nAnswer: 7:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 + -20035346?\nAnswer: -20035353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r*r**1*r)**(1\/79)*(r\/(r**(-1)\/r))**(1\/43))**(4\/9))**(2\/33) assuming r is positive.\nAnswer: r**(3272\/1008909)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 996548, 1993584, 2990620?\nAnswer: 3987656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4016822803 a multiple of 313?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 5*u + 9 + 6 = 0, 2*k - 12 = -4*u for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*j = 12 + 18. Suppose -j*r = -4*q + 110, 0 = -3*q + r + 21 + 61. Suppose -u - u + 30 = 0. What is the remainder when q is divided by u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 121120301 (base 4) to base 8.\nAnswer: 313061","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 4*s = 4712 + 1922, 4*u - 13242 = 5*s. Suppose 0 = -3*l + q + 3*q + 2491, 3*q = -4*l + u. What are the prime factors of l?\nAnswer: 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(-6)*(-15)\/10.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*g - 34*g = -24. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 2*f + 4. Let t be (-1)\/(f + (-2)\/(-1)). List the prime factors of (0 - t)*1*7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 35*c - 66*c + 30*c to the form f*c + v and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -8 - (6 - (8 + 4))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-45)*9\/(-3). Which is the nearest to 0? (a) 2 (b) n (c) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxxx when four letters picked without replacement from {x: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*n + 800 = -93*n + 29*n for n.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 + 14 + h**3 + 4 + h**2 - 2*h**3 to the form v*h**3 + t + o*h**2 + a*h and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes after 11:09 AM?\nAnswer: 9:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (3 + 2*sqrt(1377))**2 + -3 + (1*sqrt(1377))**2 + sqrt(1377) + 0 + (sqrt(1377) - (3*(3 + sqrt(1377)) + sqrt(1377))**2).\nAnswer: -15226 - 522*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 5 and -609?\nAnswer: 614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 4 - 7)*(3*o - o - 4*o) + 6*o - 4*o - 3*o)*(-2 + 5 + 0)*(88 + 2 + 158).\nAnswer: 8184*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 15) in base 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - 11 = 3*z, -13 = -5*z + 5*c + 2 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.072876 to 3 dps.\nAnswer: 0.073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*t**4 + 76*t**2 - 2 - 76*t**2 + (-t**4 + 0*t**4 - t**4)*(1 + 0 - 2) in the form p + b*t + a*t**3 + s*t**4 + u*t**2 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6432, -6426, -6424, -6432, -6456, -6502, -6576?\nAnswer: -6684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 - -4. Suppose -z - 2*x + 0*x = g, -2 = -4*z - 2*x. Let a = -2 + 4. Solve a*i = -1 - z for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 3\/461?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -2*d - 46. Let f be m(-24). What is the second derivative of 16*p**f - 36*p + 18*p + 19*p wrt p?\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**2 - 8*m + 3. Let n be j(8). Does 3 divide n\/((-3)\/(-11)) + -3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**3 - 13*u**2 + 35*u - 276. Give y(9).\nAnswer: -1743","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -375*b**3 + 4*b**2 + 3226*b wrt b?\nAnswer: -2250*b + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c = 2*m - 10, -2 = 2*c - 2*m + 8 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 0 + -5 + (0 - 2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -244376 + 8*c**2 + 244376.\nAnswer: 8*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2 (b) -4 (c) 68\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2 and -319?\nAnswer: 317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the first derivative of f**2 + 399. Let w(u) = 3*u**2 + 28. Calculate h(w(a)).\nAnswer: 6*a**2 + 56","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 960 - -47.27.\nAnswer: 1007.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n - 1. Let r(h) = 2*h - 4. Let z(g) = -3*f(g) + r(g). Let i(m) = m + 1. Let l(d) = i(d) - z(d). What is the first derivative of l(p) wrt p?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1769005257406 + -12.\nAnswer: -1769005257418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 234036570996681 - -0.5?\nAnswer: 234036570996681.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - l + 3, 2*l - 261 = 2*z - 279. Let o(h) = -2*h - 6 + 5*h + 2*h - 3*h. What is o(z)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8 + 15 - 18)*(0 - 4 + 0)*(1267*u - 1267*u - 78*u**2) as p*u**2 + g*u + s and give p.\nAnswer: -3432","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 4 = 4*w, -w - 4*w = 4*q - 26. Determine o so that -160 - 10*o**3 + 51*o - 2*o**q + 3*o**2 - 2*o**3 + 124 - o**4 - 3*o**3 = 0.\nAnswer: -4, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -4822, -4297, -3782, -3277, -2782, -2297?\n\"Answer: -5*x**2 + 540*x - 5357","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 w, and 1 y when three letters picked without replacement from owoywowwwwwwwwyoaww?\nAnswer: 32\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rors when four letters picked without replacement from lsreenloerorse.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 276.3814ml to litres.\nAnswer: 0.2763814","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -54056 + -4026?\nAnswer: -61115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 395\/32 + -46099\/3872. Calculate the common denominator of 48\/385 and p.\nAnswer: 4235","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -p + 3*p + 14*p**2 - 2*p as n*p**2 + t + r*p and give n.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 23841975 divided by -14?\nAnswer: -23841975\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 35 (b) -3 (c) -5 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**3 - 13*u**2 + 3*u - 32. Give j(13).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1872*l**4 - 126340*l**3 + 65900*l**2 + 60680*l + 1632 = 0. Calculate l.\nAnswer: -68, -6\/13, -1\/36, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -253*d - 4666*d**2 - 4649*d**2 + 9306*d**2.\nAnswer: -9*d**2 - 253*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 + 9*j + 18 + 98*j - 10 - 12 in the form w*j + b and give b.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1493 divided by 4297\nAnswer: -1493\/4297","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -1\/3 (b) 3 (c) 0.16 (d) 0.013\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**2 - 7*v + 10. Let f be z(-8). Let y(k) = 5*k**2 - 2*k**2 + 0*k**2 - 1 + k - k**3. What is the units digit of y(f)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2)\/((d**(-4\/5)*d)\/d))\/(d**1\/d)**(-5\/9) assuming d is positive.\nAnswer: d**(-6\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 949 - 319 - 312 + 2325*n - 320 in the form j + c*n and give c.\nAnswer: 2325","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 14565823 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (17\/(5083\/46))\/((-1377)\/3978)\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85 is divided by 47?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4344401 to the nearest integer?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(((sqrt(180) + 1)*-1 - sqrt(180))**2 + (sqrt(20)\/(((-3*sqrt(40))\/sqrt(10) - sqrt(4)) + sqrt(4)))**2).\nAnswer: -32470\/9 - 120*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -36, 4, 11, -5 in decreasing order.\nAnswer: 11, 4, -5, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/(-10) - 132\/(-30). Let s(i) = -i**2 + a*i**2 + 0*i**2 + i**2. Is s(-1) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3733325 > -3733327?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-4)*4*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -25*f**3 + 5*f**2 + 9*f - 46. Let x(j) = 11*j**3 - 2*j**2 - 4*j + 21. Let z(o) = -4*v(o) - 9*x(o). Give z(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43.06985ml to litres.\nAnswer: 0.04306985","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-537*a**2 + 72 - 12 - 28*a**2 - 60)*(-a**3 + 3*a**3 - 3*a**3).\nAnswer: 565*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 6795.20043 rounded to the nearest one hundred?\nAnswer: 6800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 4*l = -145 - 907, 3*m = 5*l + 1545. Calculate the highest common divisor of 195 and m.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 55877 and 4544.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-3*(-1 + sqrt(1584)) + -1 + sqrt(1584) + -2 + -6*2*sqrt(1584)*3))**2.\nAnswer: 82342656","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4630 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -170.62 and 0.05?\nAnswer: -8.531","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(220)\/((-4*sqrt(132))\/sqrt(12)))\/(-2*sqrt(10)*1*3).\nAnswer: sqrt(2)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.00651 - 0.29349. Which is the third smallest value? (a) x (b) -5 (c) 20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(448) + (-1*sqrt(448))**2 + sqrt(448))*6 + (sqrt(448)*-1 - sqrt(448) - sqrt(448))*-5)*5.\nAnswer: 1080*sqrt(7) + 13440","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (124\/(-8))\/1*(-12 - -4). Let y = n - 42. List the prime factors of y.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.1, -4, 26.8, 245?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3783?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 4*a - 32 = 0, -3*a - 19 = -5*q - 5*a for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 0*z - 88 - z**2 + 76 + 10*z. Let m be o(8). Let x be 4 - (0 + -1 + m). Solve 0*v + 3*l + x = -2*v, 4*l = -3*v - 3 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 22514*o**2 - 10135?\nAnswer: 45028*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3408 divided by 4?\nAnswer: -852","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-28)*l**(6\/31))\/(l*(l*l*l*(l\/((l\/(l\/(l*l*l*l\/((l*(l*((l\/(l*l**(-35\/3)\/l*l))\/l)\/l)\/l)\/l)*l)))\/l))\/l*l*l)\/l*l*l**(13\/4)) assuming l is positive.\nAnswer: l**(-15893\/372)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -5396081 to the nearest one hundred thousand.\nAnswer: -5400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 2519*r**2 - 6*r + 2*r - 1.\nAnswer: 2519*r**2 - 4*r - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -51\/2168 and 95\/39566.\nAnswer: 158264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fyy when three letters picked without replacement from dgyyddydggygfgyyygf.\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 38\/1801211 and 143\/21614532.\nAnswer: 21614532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10152941.\nAnswer: 10152941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let f = -4030 + 4036. Solve 16 = 2*n - 3*k + f*k, 0 = -4*n + 2*k for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-4)\/(-6))\/((-10)\/(-75)). Suppose 2*t - 2*b = 2, 4*b + b - 45 = -d*t. Suppose -t*g = -26 - 369. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -2*m**3 + 5*m**2 - m. Let d be g(2). Let h(s) = 20*s - 6. What is the units digit of h(d)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 1 (b) 6629 (c) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2437*r + 2 - 3 - 2328*r + 3 + 4830*r.\nAnswer: 65*r + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 less than -175463?\nAnswer: -175463.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -10*a**3 - 161*a**2 - 1757*a - 1600. Let u(r) = 162*r**2 + 2733 + 1549*r - r**3 + 9*r**3 - 1133 + 209*r. Let k(w) = -2*h(w) - 3*u(w). Factor k(t).\nAnswer: -4*(t + 1)*(t + 20)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 204540 to the nearest integer?\nAnswer: 452","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -12*z - 4 + 14*z + 10*z**3 - 15*z**3 + 7*z**2 + 4*z**3. List the prime factors of j(6).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6 + -3 + -4)*-17. Let m = -10 + j. Solve 3*d - m = 8 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, e: 3, n: 1, g: 4, a: 4, d: 3}. What is prob of picking 2 d, 1 g, and 1 y?\nAnswer: 6\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 14 - 27)*(3*r - 4*r + 2*r) to t*r + q and give t.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zu when two letters picked without replacement from {k: 5, v: 2, u: 2, j: 7, z: 1, c: 3}.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(4\/7)*(v*v*v\/(v\/v**(-5\/2))*v)\/v*v**(-4\/7))\/(v**(-50)\/v**(-49)) assuming v is positive.\nAnswer: sqrt(v)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 2*x + 3. Give o(14).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 19951 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (43864 - 43864 + 1618*f)*(19*f + 0*f - 7*f) in the form o + v*f + p*f**2 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 151 + -139.99. Let t = -0.01 + o. Let n = -12 + t. Which is the nearest to -1? (a) 2\/7 (b) n (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 52570*c**4 - 37796*c wrt c?\nAnswer: 630840*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.149 + -2.851. Let r = 0.67 - 0.47. What is the closest to k in r, -2\/5, 11?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 101580525?\nAnswer: 3, 5, 17, 26557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2342 - -40?\nAnswer: -2302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -638.9998095 - -639. Round t to 5 dps.\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.4 - -1.9. Let z be (-8)\/20 + (-3)\/15. Let k = 0.9 - 0.93. Sort k, -0.1, z, n in increasing order.\nAnswer: z, -0.1, k, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.096 + 3.696. What is the second smallest value in -3, d, -1, 3, -1.7?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 200, 186, 148, 74, -48, -230, -484, -822?\nAnswer: -1256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.3 (b) 5 (c) -1394 (d) 0.5 (e) 1.3 (f) 4\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 6*o**2 + 2*o + 21. Let c be k(5). Let r be 1 + -1 - (-6 + -1). Suppose -c - 141 = -r*m. What is the greatest common divisor of m and 69?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 316?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2313688 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 6472 (base 10) to base 15\nAnswer: 1db7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3 or -365\/238?\nAnswer: -365\/238","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1128820085*-0.4.\nAnswer: -451528034","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 - 0. Suppose -g*v + 38 = d - 9, -v - 31 = -d. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -48 + 50. Suppose -3*l + 128 = -2*a + 22, 0 = s*l - 4*a - 68. Let p = 52 - l. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7 + 118*t**2 - 113*t**2 + 7 - 40*t.\nAnswer: 5*t*(t - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**2 + 3*k. Let w be x(3). Let d(a) = -a + 22. List the prime factors of d(w).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19 is divided by 7\/(28\/8)*4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-1)*n**(2\/27)\/n*n*(n**4\/n)\/(n**4\/n)*(n**(4\/7)\/(n\/(n**(-4)*n)))\/(n**(-1\/3))**(3\/41) assuming n is positive.\nAnswer: n**(-33554\/7749)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 + 5 + (1 - 0). Let b be (w\/(-63)*18)\/(2\/(-35)). Solve -2*x = 4*a - b, 5*a = -2*x + 5*x + 10 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 37 - (29 - (84 - 43)).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12 + -5. Suppose 3*m + 4*x = -3, -7*m + x = -2*m - 18. Suppose -m*j - 15 = -0*j, -5*j - 85 = -5*c. What is the remainder when c is divided by b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -168 or -108710?\nAnswer: -168","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the second derivative of 0 + 1\/12*k**4 + 1\/3*k**3 - 7\/5*k**5 + 1\/2*k**2 - 2*k. Is q(-1) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (-3 - -9) + -16?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -152 - -12?\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16576 and 1234016.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 2*l + (3*l - 4*l - l)*(-3 + 2 + 2) - 4*l + 5*l - 2*l + 0 + 0 - 2*l + 10*l - 131*l + 13*l)*(3*l + l - l).\nAnswer: -333*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -76, -80, -84, -88, -92?\n\"Answer: -4*m - 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1, 4, 9.\nAnswer: -1, 1, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(5)*2*-5 + sqrt(50)\/(sqrt(40)\/sqrt(4)*-2).\nAnswer: -81*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is c2 - -24?\nAnswer: e6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 299 and 437.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes after 3:16 AM?\nAnswer: 7:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 134*f**3 + 21*f**3 + 25*f**3.\nAnswer: 180*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 262328636 + -0.6\nAnswer: 262328635.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:25 PM and 1:17 AM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -30, 9, -5, 1\/4, 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is d98 - -c?\nAnswer: da5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/11 + (-3168)\/121. Let i = 30 + g. Solve 5*s + 7 = -4*r, 13 = -s + 2*s - i*r for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 3*h - 2*h + 4*h - 3*h. Let l(j) = -6*j**2 + j**2 + 3*j**2. Determine l(v(c)).\nAnswer: -8*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 222846 + -222832. Suppose -3*m + 5 + 10 = 0. Put m, n, 3 in decreasing order.\nAnswer: n, m, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n = 2*n - 48. Let i = n + 30. What is the remainder when i is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:10 AM and 7:35 PM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 9, -2, 0.4, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, v: 2, s: 1, m: 2, n: 1}. What is prob of sequence wvn?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1098439 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2387 and 501488.\nAnswer: 499101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11 - 133024123312?\nAnswer: -133024123323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y + y + 3*y)*(0*y**4 - y**4 - y**4) + ((-194 + 194 + 22*y)*(-y**3 + 4*y**3 - 5*y**3) - 3*y**4 - 2*y**3 + 2*y**3)*(-3*y + 6*y - y).\nAnswer: -96*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/270 and -47\/12270940?\nAnswer: 331315380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24, 6, -46, -150, -324, -586, -954, -1446?\nAnswer: -2080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 190 and 2435230?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6720 is divided by 218?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -194 + 179. Let v be 2 + (-10)\/s*3*-1. Solve 2*z + v = 6, -3*z = -5*i + 11 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0703793 * -8.4\nAnswer: -0.59118612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.084916 rounded to two dps?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*t + 58 = -162*t - 4*j, 2*t = 5*t + 5*j + 237 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -184642, -369283, -553924, -738565, -923206, -1107847?\nAnswer: -1292488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (282\/4)\/(19392\/12928)\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1333393 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -22.88 + -0.5\nAnswer: -23.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes after 6:45 PM?\nAnswer: 2:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f**4 + 0*f**4 + 3*f**4)*(-17 - 1 + 7 + (-2 + 2 - 2)*(39 - 25 - 24))*(1 + 2*f - 1).\nAnswer: 18*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a*a\/a**(6\/11)*a**2*a*a**(-1\/2)*a*a*a**(-10) assuming a is positive.\nAnswer: a**(-89\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -453*n**3 + 2*n**2 - 72*n - 444. Is t(-7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -10*w + 1. Let d be t(1). Let q = -5 - -3. Let l be 380\/(21\/d - q). What is l rounded to the nearest 100?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 548\/((7 - -2) + -7 - 4). What is the closest to t in -1, 2, -0.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 10, 0*s + 56 = -s - b. Let l = -80 + s. What is l rounded to the nearest 10?\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the first derivative of 9*z**5\/5 + 18*z + 9. What is the first derivative of l(q) wrt q?\nAnswer: 36*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**3 + 4*z**2 - z. Let h be s(3). Suppose -i - 2*i = -h. Suppose -3 + 6*a + 6*a**i + 5*a**3 + 5 - 3*a**3 = 0. What is a?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 229 or -0.4?\nAnswer: 229","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*d**5 - 292*d**4 - 1048*d**3 + 2636*d**2 - 880*d - 400 = 0.\nAnswer: -10, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 107217 and 575073?\nAnswer: 6325803","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 45\/2894 and 79\/18.\nAnswer: 26046","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/(g**8\/g*g))\/g*g**(1\/2)*g)\/(g**(-8)*g*g\/(g**8\/g)))**(-1\/2) assuming g is positive.\nAnswer: g**(-13\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 5*x**3 + 13*x**2 - 7*x + 4. Let s be d(2). Solve 72 = 2*m + s for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*t - 3*t - 2*t - 108304 = 0. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 514039 divided by 144?\nAnswer: 514039\/144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 58? (a) -0.5 (b) 127 (c) -0.4 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 923013 a multiple of 147?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-15 + 13)\/(-2*(-1)\/5). Let j(g) = g**3 - 10*g**2 + 9*g + 2. Let s be j(9). Let q be (9\/18)\/((-2)\/(-28)). Put s, k, q in descending order.\nAnswer: q, s, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes before 4:16 PM?\nAnswer: 5:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 254463200 rounded to the nearest 1000000?\nAnswer: 254000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -100010001101100 (base 2) in base 4?\nAnswer: -10101230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1.7, -2\/5, -5, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -2*k**3 - 5*k**2 - 4*k - 7. Let f be l(-3). Suppose 0 = -s + 1 + 1. Suppose g - s = -0*g. Solve -4*x + 2*m - f = 0, 3*x + g*x + 1 = -3*m for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 201128 and 3704?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 350422 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-17) - (-10374)\/(-43758).\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -368\/475 - -22\/25. Let k(g) = -g**3 + 6*g**2 + 21*g - 16. Let v be k(8). Let r be (3 - 42\/15)\/((-12)\/v). What is the second biggest value in w, r, 0.5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 87*l + 208. Let f(g) = 29*g + 70. Let s(y) = -7*f(y) + 2*n(y). What is the hundreds digit of s(-22)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-94)\/10 - -4 - 10\/(-2)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -5, 2\/77, 2\/5, -277?\nAnswer: 2\/77","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -16*l**5 - 380*l**4 + 1808*l**3 - 2636*l**2 + 1448*l - 224 = 0. What is l?\nAnswer: -28, 1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1852308?\nAnswer: 2, 3, 5717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -2*d. Let f be x(1). Let g be 16\/(-80) + 48\/(-10). Let k = -1.1 + 1. Which is the third smallest value? (a) k (b) g (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3449*i**3 - 3695*i**2 - 107467639.\nAnswer: 10347*i**2 - 7390*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 7*n**2 - 33*n + 261. What is the tens digit of l(27)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n - 7. Let j be k(-6). Let d be (j - -3)\/(4\/6). Suppose 0 = d*a - a - 5*z - 66, 0 = 4*a - z - 96. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1452*y + 1452*y + 96*y**2.\nAnswer: 96*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -87 + -a64?\nAnswer: -aeb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000325 to four dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6900857?\nAnswer: 19, 263, 1381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/((-8)\/4*2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n + n + 42. Suppose 3*g + 2*k - 22 = 0, n = -0*g + 2*g - 5*k. Let r be 2\/g + 30\/8. Solve -2*q + 0 = -r for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*o**3 - 2*o**3 - 18*o**2 + 18*o**2.\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(1\/66))**(2\/49) assuming u is positive.\nAnswer: u**(1\/1617)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*c + 20448 = -1113*c for c.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 8020 times -23\nAnswer: -184460","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**2 - 28*u + 1034. What is the tens digit of k(20)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 49121 - 49120.967899. Let y = -0.032 + r. What is y rounded to five dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.626612164 rounded to four dps?\nAnswer: 1.6266","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 383 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 403951 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 - 2*t**2 + 5*t - 3. Suppose 0 = 4*o + o + 20. Let c be x(o). Let q = c + 16. What is the remainder when q is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*i**2 + 5570*i + 1551245 = 0. What is i?\nAnswer: -557","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/52 and 3\/4736.\nAnswer: 61568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 1646*a**2 + 26350*a - 14. Determine b(-16).\nAnswer: -238","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 377 + 140. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 176678865?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -45 + 50. Suppose 2622 - 13602 = h*f. Let d = -127804 + f. Round d to the nearest 10000.\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1225 * 0.2\nAnswer: 245","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 s when two letters picked without replacement from {y: 1, v: 2, m: 1, s: 1, k: 1, d: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11925 is divided by 253?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (9 - 6 - 4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -3*s**2. Let v(y) be the third derivative of 23*y**4\/24 + 45*y**2. Determine m(v(p)).\nAnswer: -1587*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -36 + 161. Let n be 3\/(-2 - o\/(-64)). Let m = 11 + -7. Put 3, m, n, -2\/5 in decreasing order.\nAnswer: m, 3, -2\/5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1530 (base 8) to base 10\nAnswer: -856","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 2*p**5 - 24*p**4 + 12*p**3 + 411*p. Let x(r) = -r**4 + 2*r**3. Let q(d) = -6*x(d) + z(d). What is the second derivative of q(n) wrt n?\nAnswer: 40*n**3 - 216*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 200.8 and -89881317?\nAnswer: 89881517.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 3\/370?\nAnswer: 3\/370","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4551535277.257191395 - -4551535360. Let n = -2.742806645 + o. Let y = n + -80. What is y rounded to seven dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cccq when four letters picked without replacement from cvbcbcccbbppqbvc.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-142)\/(-8591))\/((-2)\/(-22))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pdxxppduuxdyxuduuggu. Give prob of picking 1 g and 2 p.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 14187077 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -3840465.1 rounded to the nearest 10000?\nAnswer: -3840000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**3 - g**2 + g - 1. Let z(v) = 3*v**3 - 7*v**2 - 4*v + 1. Let y(b) = 2*q(b) - z(b). Let o(w) = -2*w**3 + 9*w**2 + 11*w - 6. Give 6*o(n) - 11*y(n).\nAnswer: -n**3 - n**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4237 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 354 - 209. Let y = k - 49. Calculate the greatest common factor of 12 and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93 = -5*d + 120*i - 121*i, 4*d - 81 = -3*i for d.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v - 4, -3*x - 2*v - 10 = -x. Let t be (15\/(-4))\/(x\/8). Let m = 52 - t. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.07 + -27.93. Let o = -27.999974 - r. Round o to 5 dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 1246*o + 626. What are the prime factors of z(10)?\nAnswer: 2, 3, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12\/4*(5\/(-3))\/1\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l = 4*y + 12, 4697*l - 9414*l + 4699*l = -5*y + 26 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3034 (base 11) to base 8.\nAnswer: 7676","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times 5551\nAnswer: 2775.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3\/3964 - 115\/175407. Do 6 and u have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -94 + 470 + 3*o**2 + 120 + 17.\nAnswer: 3*o**2 + 513","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**3 - t**2 + t + 2. Let s(x) = 2*x**3 + 10*x**2 - 3*x - 5. Give -4*j(k) - s(k).\nAnswer: 2*k**3 - 6*k**2 - k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/150572 and -5\/5936?\nAnswer: 223448848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -405148, -810259, -1215330, -1620361, -2025352, -2430303?\nAnswer: -2835214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -4*l**3 - 3*l + 2 + 3*l**3 + l**2 + 0*l**3. Let f = -19 - -24. Suppose f*b - 3*h + 5 = 0, 0 = -2*b - 3*b - 5*h + 35. Calculate y(b).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1\/4)*t**(1\/4))\/(t*t\/t**0)**(-35) assuming t is positive.\nAnswer: t**70","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 109385 to the power of 1\/2, to the nearest integer?\nAnswer: 331","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 6 + 3)*(6 - 8 + 11*q**2 + 2*q - 3*q).\nAnswer: -11*q**2 + q + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9637 and 11109?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/4292292 and -7\/48228.\nAnswer: 4292292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*j - j + 12*j.\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**2 - 11*r + 2. Let h be l(11). Solve b + h = -b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 135519831?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -186 >= -4\/447?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.1, 2\/5, 534, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -3*p**2 - 13*p + 10. Determine r(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1.021, 2, -6\/11?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -4*d**3 - 2*d**2 + d - 6. Let n(o) = 1590*o**3 - 6*o**2 + 2698*o - 18. Let w(i) = 3*a(i) - n(i). What is the second derivative of w(t) wrt t?\nAnswer: -9612*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 9*t - 4. Suppose l - 19 = 3*w + 13, -l - 5*w = 8. What is the remainder when a(4) is divided by l?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 2*r = -13, 4*o + r + 21 = 59. Suppose o = 4*l + 1. Is (258\/(-3))\/(0 - l) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*c**3*n**2 - 89*c**2*n**3 + 2*c*n**3 - 29*n**2 wrt c?\nAnswer: 12*c*n**2 - 178*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -866, -868, -870, -872?\nAnswer: -874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 95822158?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*o**3*z**2 + 177*o**3 - o**2*z**3 + 10*z**2 wrt z.\nAnswer: -4*o**3*z - 3*o**2*z**2 + 20*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-8)\/(-15))\/4)\/((-12)\/9*(-256)\/192).\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 4*h + 27 = -5, -5*h - 25 = 0. Let k(w) = -5 - 833*w**t + w**2 - 1 + 0*w - 7*w. Let z be k(-6). Round z to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21129 is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -414 + 1290 = -6*w. Let b = -129 - w. Suppose -5275 = 12*a - b*a. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g**2 + 0*g**2 + g**2)*(4*g**2 + 0*g**2 - 3*g**2) + 43*g**4 + 93*g**4 - 50*g**4.\nAnswer: 87*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13908*l - 511881 + 91561 = -3773*l + 4546*l for l.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -825000 to the nearest one hundred thousand.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -13.72958 from 5266.\nAnswer: 5279.72958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(567)*-3 - sqrt(567)) + -2 - (-1*sqrt(567) + sqrt(567) + -2 - sqrt(567)))**2 + -3.\nAnswer: 5100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 3\/4, 2\/5, 2574, 5, 110, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the first derivative of a**4\/4 + 10*a**3\/3 + 5*a**2 + 23*a + 99. Calculate the remainder when 424 is divided by n(-8).\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3968 = -t - 5*y + 59, -5*y + 20215 = 5*t. Let n = -27935213\/18 - -1556006. Let z = t - n. What is the common denominator of -127\/18 and z?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24 + -6 + 24 + -12 + -31\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 1)*(0 - k**4 + 0) + (22 + 2*k**2 - 22)*(k**2 - 4*k**2 + 5*k**2) - 1 + 9*k**4 - 16*k**4 + 6*k**4.\nAnswer: 2*k**4 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4467370830?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 11*x - 13*x - 4)*(6*x - 11*x - 7*x).\nAnswer: 24*x**2 + 60*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 354 is divided by 76.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 5*l**3 + 4*l**2 + 3*l - 2. Let u(p) = 4*p**3 + 5*p**2 + 3*p - 2. Let j = -13255 - -13258. Calculate j*q(y) - 2*u(y).\nAnswer: 7*y**3 + 2*y**2 + 3*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2262 and 16701564.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 2 - 3)*(3*b**2 - 5 + 5)*(6 + 0 - 2) to the form u*b + s*b**2 + r and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a hour in seconds?\nAnswer: 2160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -22 - -15. Let b = y + 10. Sort 2\/7, 1\/6, b.\nAnswer: 1\/6, 2\/7, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 16137?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1163609 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 11017672 to the power of 1\/2, to the nearest integer?\nAnswer: 3319","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18*b - 20*b + 14*b + 1 - 2*b**3 + 2*b**2 to the form f + l*b**2 + w*b + s*b**3 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1572151?\nAnswer: 7, 107, 2099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000001863 to 6 dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/7, -2\/9, 1, 1\/16, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3948181 and 0.082?\nAnswer: -323750.842","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f + 3*f - 4. What is the second derivative of -21*u**4 + 9*u + 20*u - 9*u**f wrt u?\nAnswer: -360*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n. Let r = 18 + -15. Let u be (3\/(-6))\/(r\/(-18)). Let v(b) = u*b**2 + 1 - 1 + 5*b**2. Give v(l(s)).\nAnswer: 8*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -32*c**2 + 74*c**2 - 40*c**2 + 5 + 25 in the form u*c + z + t*c**2 and give z.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 9*y + 96. Let o(d) = 7*d + 95. What is -5*m(g) + 6*o(g)?\nAnswer: -3*g + 90","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -5*w + 10. What is a(3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3210 - -4713. What are the prime factors of m?\nAnswer: 3, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5\/9 (b) -12 (c) 8\/5 (d) -200\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2\/9 + 1094*o\/3.\nAnswer: -2*o*(o - 1641)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 2*m - 1068, -m = 5*x - 144 - 408. Suppose -3*i + m = 3*c, -5*c - 423 + 1288 = -i. What are the prime factors of c?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 5 + -1*(0 + -6*-2*sqrt(1331))**2.\nAnswer: -191664","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -22274 - -22512. Solve 106*j = 140*j + q for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12*(-16)\/(-896)*(-2)\/(-3)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**2 - 8*z - 6. Let c be v(-8). Let j be (-1)\/3*(-3 + c). Suppose 3*g - 2 = -j*h + 4, 5*g - 3*h = 10. Solve 3*p = -g*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 11*f - 56. Let u(d) = -27*d + 2. Let w be u(-5). Suppose 3*x - w + f = 0. Does 15 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 2 b when three letters picked without replacement from {w: 6, b: 5, s: 6, i: 1, q: 1}?\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*n - 131*n - 3343 = 407 + 1375 for n.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7055?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16568 is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9597, -76968, -259767, -615708, -1202505, -2077872, -3299523, -4925172?\nAnswer: -7012533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15.000042 + -15. What is s rounded to 5 dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = z - 19, 51 = -5*z + 5*g + 186. Let n(t) = t - 20. Let k be n(23). Sort -4, k, z in decreasing order.\nAnswer: z, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 333247 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -3*m**2\/4 + 6*m + 15 = 0.\nAnswer: -2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 60\/(-135) - 2\/(-18). Sort -7, -3\/4, f.\nAnswer: -7, -3\/4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 538777 is divided by 40?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10 + -2. Suppose -s = 2 - l. Solve 2*w - s*w - 4 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1660 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -206*q**3 + 5*q**2 + 3*q + 10. Let d be r(5). What is d rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 42, 59, 88, 129, 182, 247, 324?\n\"Answer: 6*j**2 - j + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -370 - 34 = -4*f. Suppose 0 = -4*r + 81 + 7. Let c = r + 4. Calculate the remainder when f is divided by c.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1\/((-8)\/36360*-9) is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -37*t + 36*t. Let w = t + 9. What is the derivative of 0 - 3*s**w + 2 - 8 - 9*s**2 wrt s?\nAnswer: -24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29443*u - 276 = -29420*u for u.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 5*o + 4. Let c = 12 - 16. What is k(c)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 441*b - 8631. What is i(29)?\nAnswer: 4158","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 3*a + 21. Let x = a - 9. Suppose -8*t + x*t = 172. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1215 and 22599.\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11*o**3 + 21*o**3 - 3 - 4*o**3 - 4*o**3 - 10*o**2 - 4*o wrt o?\nAnswer: 12*o - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -84121*d**2 - 2*d + 8. Let w(y) = 90*y**2. Calculate g(w(i)).\nAnswer: -681380100*i**4 - 180*i**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86 = i + 86. Solve -9*g + 14*g = i for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 + (-222)\/9 - (-2)\/(-6). Let p = 19 + g. Let a(h) = h**3 + 4*h**2 - 7*h + 1. Give a(p).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the second derivative of q**4\/12 - q**3\/6 + 2974*q. Let p(r) = -23*r**3 - 4*r**2 + 4*r. Determine 4*b(u) + p(u).\nAnswer: -23*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101111010111010100101110010 + -10?\nAnswer: 1101111010111010100101110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -6*c - 9. Let q(p) = -2*p - 3. Calculate 11*q(x) - 4*z(x).\nAnswer: 2*x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*s = -25*s + 36 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -20, -2, 172, 2 in decreasing order.\nAnswer: 172, 2, -2, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 + 1. Suppose -s = -2*t + 5. Suppose 2*g + u = t*g - 13, g + 2*u = -5. Solve 3*r - g*y = 0, -24 + 4 = -4*y for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 10001145 and 28604840.\nAnswer: 38605985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 15657234 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 + 4 - 7)*(2*m**5 - 2*m**5 + 2*m**5 + 0*m**5 - m**5 + 3*m**5 + (2*m - 2*m - 2*m**2)*(-5*m - 2*m**3 + 5*m) + 0 + 0 + 2*m**5 + 2*m**4 - m**5 - 2*m**4).\nAnswer: -117*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -3148463 + -0.946\nAnswer: -3148463.946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -13*f**2 + 13*f + 17. Let t(q) = -3*q**2 + 3*q + 4. Determine 2*l(c) - 9*t(c).\nAnswer: c**2 - c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*j - y + 6, -j = 3*j - 3*y - 20 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes before 2:44 AM?\nAnswer: 4:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2708*p + 425*p + 2293*p.\nAnswer: 10*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 - 1)*(2*i - 2*i - 4*i) + 0 - 4*i + 0 + (2*i - 2*i - i)*(-1 + 1 + 1).\nAnswer: 7*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -29 + 16. Let d = q - -77\/6. Put d, 1\/5, 3, -3\/2 in ascending order.\nAnswer: -3\/2, d, 1\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1*1)\/(1297950\/(-92710) - -14) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17029\/6 - 2818. Let w = -3012\/3829 - -1\/1094. Find the common denominator of w and b.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-96)\/(-26)*(-2314)\/267\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 0*v - v = 67, -3*w + 3*v + 39 = 0. What are the prime factors of w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-5)*25\/195.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 39.42736cm?\nAnswer: 394273600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 + 8. What is the first derivative of -r + 10 + 1 + 8*k**3 wrt k?\nAnswer: 24*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j - j - 128 = 0. Suppose -2089 = j*s - 8777. List the prime factors of s.\nAnswer: 2, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -72*z - 4*z**2 + 12*z + 0*z**2 - 4*z**2 - 2 to the form p*z + k*z**2 + w and give p.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -43 - -50. Let b(k) = -22*k**2 - 4*k - 12. Let a(t) = 65*t**2 + 12*t + 36. Let f(l) = 3*a(l) + 8*b(l). Is f(i) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 297716 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1639 and 14395933?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 99*n + 26. What is p(-1)?\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -5, -20, 0.45?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand i + i - 3*i + (-1 + 3 - 3)*(2*i - i - 3*i) + i + 5*i - 5*i - 2*i + 0*i + 0*i - 26 + 26 - 2*i.\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 178 = -5*f, 0*o = -2*o - 2*f - 112. Let y = 55 + o. Suppose a = 7*a - 42. What is the remainder when a is divided by y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 4*k - c, 2*k = 3*k + 4*c - 1 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**2 - 170*u + 5033. What is o(34)?\nAnswer: 409","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 24 - 20. Suppose r*j = 5 + 3. What is the greatest common factor of j and 18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*t - 2*q - 4, -4*t + 3*t + 2*q + 4 = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1079692 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60 = -12*n + c, -5*n - 2164*c + 2167*c + 25 = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the third derivative of 0*h - 1\/120*h**6 - 1\/15*h**5 - 1\/12*h**4 - h**3 + 22*h**2 + 0. Let j be 6\/(-4)*(-16)\/(-6). Determine k(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qeerrrrri. What is prob of sequence irer?\nAnswer: 5\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vsp when three letters picked without replacement from zkpzvkddkssdzpzs.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(21)\/sqrt(3))**2*-3 + 3 + sqrt(7)*1 - ((sqrt(1008) + -1)*4)**2) + (sqrt(567)*-3 + 4 + -1)**2*-2.\nAnswer: -26386 + 709*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -24 (base 5) to base 3\nAnswer: -112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x = 0, 366*s + 2*x - 20 = 368*s for s.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -4*15\/(-20) + -2. Let y = 17 + -24. Let i = 7 + y. What is the nearest to i in 5, z, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 69.94 + -70.04. What is the second smallest value in -303, 0.3, j, 0.02?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1759 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 328.5 - 236. Let v = f - 69. Let z = 35.6 + v. What is z rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/14 - 40987\/119*-1794 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 1\/(-1) - (-287)\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -7*t**2 - 33*t - 31. Let y(z) = 11*z**2 + 48*z + 46. Let a(p) = -8*c(p) - 5*y(p). Determine a(-19).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 815837.3 centuries in months?\nAnswer: 979004760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -108 - 6*v + 108.\nAnswer: -6*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -44 by 3460826.\nAnswer: -22\/1730413","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 2 = -5*c, -8 - 10 = -2*y + 5*c. Suppose y*z - 13 = 11. Let u(f) be the second derivative of -f**4\/12 + 7*f**3\/6 + 3*f**2 - 223*f. Determine u(z).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4395588?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + 38 = 2*r, -3*r = 32*c - 27*c - 48 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 211345.56 months in centuries?\nAnswer: 176.1213","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 36 and 260667?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000027059 to seven dps.\nAnswer: -0.0000271","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.04 and -98.77.\nAnswer: -98.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -4*h + 5*s + 5, -h + 2*s = 0. Let f(m) = 12*m + 6. Let l be f(h). Is l != 30?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 n when two letters picked without replacement from kknnnnnkknnnkn?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(((-3)\/(-15))\/(38\/95))*(-304)\/(-1216).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 280 - 196. Suppose l*v - 89*v + 21005 = 0. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-14)\/4*8\/(-14). Solve b*v = -0*v + 8 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4\/(-6))\/(6\/81). Let p = c + 20. What is the remainder when 52 is divided by p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -52435 greater than or equal to -52434?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.345 - 13.19330446873?\nAnswer: -12.84830446873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*s**4 + s**4 + 2*s**4 + (-s + 6*s - 4*s)*(-s**3 - 2*s**3 + s**3).\nAnswer: 4*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1a92 + -5?\nAnswer: -1a97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the first derivative of 7*m**2\/2 - 134*m - 73. Is q(24) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -75.24 - -75. Let p = -1.24 - r. Which is the nearest to 1? (a) 1\/6 (b) 0.07 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v = -0*v - u + 20, 0 = 3*v - 3*u + 15 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 1 + 0 + (-5 + 1 + 2)*(1 + 0 + 1) - 3 + 18 + 12)*(5*u - 2*u - u) in the form f*u + c and give f.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = 5*z + 4*b - 268, 5*z = -3*b + 271. Let i = z - 52. Is 1*(26 + 4 + (-3 - i)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 169497 or 169499?\nAnswer: 169499","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8911 + 10079. What is the greatest common divisor of g and 949?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5220 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: Let t(q) = -7*q**2. Let x(v) = -3636*v. Give t(x(s)).\nAnswer: -92543472*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/((-31)\/(10540\/60)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 21 - 9. Suppose -55 = -m + k*m. Suppose -5*g + 24 = r, -5*g - 5 = -6*g. Which is the closest to -0.1? (a) 3 (b) m (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -164*p*q**3*z**2 - 2*p*q**3*z - p*q**2*z - 2*q**3*z**2 - 2*q*z**2 + 39*q wrt q?\nAnswer: -984*p*z**2 - 12*p*z - 12*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 4*r**2 + 0 + 5 - 5. Let l(d) = 2*d**2. Give l(s(c)).\nAnswer: 32*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7176242?\nAnswer: 2, 47, 76343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -933297 equal to -933297?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the first derivative of s**4\/4 + 2*s**3 - s**2 - 2*s + 64070. Let y be 13\/(-2) + 1\/2. Calculate k(y).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 3 v when four letters picked without replacement from vnvnnnnnvnn.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*b - 12*b - 606 = 4*b + 2850 for b.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (124\/60 + -2)*(756\/714)\/((-56)\/(-136)).\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.2 + 1. Let a = 3.02 + -0.02. Let t = -0.08 + 0.08. What is the nearest to t in a, u, -2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*i**2 + i**2 - 3*i**2 + (-7 + 5*i + 7)*(231*i + 13*i - 35*i) + i**2 + 7*i**2 - 4*i**2 as n*i**2 + c + g*i and give n.\nAnswer: 1047","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -35*i**3 - 206*i - 207. What is n(-1)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 + 26\/(-8) - (-72186)\/8 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 809 is divided by 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -139 - -210. What is the tens digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -5*i, 8*q - 3*q = 5*i. What is the biggest value in 3\/7, q, -4?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/p**13*p)\/p*p**(-4))**(18\/11))**16 assuming p is positive.\nAnswer: p**(-4608\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 13452895 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2197866 is divided by 3109.\nAnswer: 2912","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-15)\/(-10))\/((-6)\/(-4)). Let n be (0 - (-2 - 0))*o. Suppose -2*z + 46 = u, 0 = -u - 4*z + 46 - n. Is 14 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*((sqrt(204) - (sqrt(204) + -4*1*sqrt(204))) + sqrt(204)))\/((4*sqrt(108)*1)\/sqrt(9)))**2.\nAnswer: 3825\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + -6 + 6 + -1 - -3.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 47313 (base 8) in base 6?\nAnswer: 233215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 - 3 - 15 - 10 + 3*g.\nAnswer: 3*g - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 41*s - 1351. Calculate y(31).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zjiiziejzjzizci. What is prob of picking 1 e, 1 z, and 1 j?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -118, 0, -5, 3275, 2 in decreasing order.\nAnswer: 3275, 4, 2, 0, -5, -118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 3\/2 (b) 0.3 (c) -85 (d) 2 (e) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and 115970?\nAnswer: -57985","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-12496)\/(-33))\/(-8) + 4\/(-6). What is the second smallest value in q, -3, 3\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 - -41. Suppose a = 20*t - 16*t. Solve -2*x + t = -5*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -4*p**2 + 9*p + 86. Let z(k) = -2*k**2 + 4*k + 38. Let d(l) = 4*b(l) - 9*z(l). Let r(i) = 2*i**2. Determine r(d(g)).\nAnswer: 8*g**4 + 16*g**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 180072359 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-72)\/8*(-8)\/6*42\/(-924)?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h - 3*h = 5*t + 2300, -2*h = -3*t - 1534. Suppose 2*i + 2*i + h = 5*a, 0 = -5*i + 25. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 48 and 112.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3162 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.027 in -2\/13, -1\/377, -6?\nAnswer: -1\/377","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 253714*m + 1776007. What is g(-7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - 3*o + 4 - 16, 3*o = -2*l + 24. Let a(u) = 8*u - 5. Let f be 20\/(-50) + 57*3\/15. Let m(h) = -15*h + 9. What is f*a(c) + l*m(c)?\nAnswer: -2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -1 + 21*x + 0 + x**2 + x**3 - 25*x + 3. Let d be h(1). Let q(g) = -g**2 - g - 2. Let m be q(d). Which is smaller: m or 3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/9099 or 16?\nAnswer: -2\/9099","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 44139148*l**3*t**2 + 4*l**3 - 297*l**2*t**2 + 28*l**2 + l*t**2 - l*t + 1061*t wrt l.\nAnswer: 264834888*t**2 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*c - 18 - 3 - 3*c + (2*c + 0*c + 0*c)*(0 + 4 - 1) in the form m + k*c and give k.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*s + s - 2*s + 5732 - 5732.\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 3.56, 8, -1, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -2*m**2\/9 + 53688*m - 5314870\/9 = 0?\nAnswer: 11, 241585","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 321 divide 119067?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2759*f**2 + 929*f**2 + 932*f**2 + 934*f**2.\nAnswer: 36*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1610.1 + 1718. Let c = p + -108. Sort 2\/9, -3, c, -5 in ascending order.\nAnswer: -5, -3, c, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 36690280, 36690276, 36690272, 36690268, 36690264?\n\"Answer: -4*x + 36690284","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 18714917 a multiple of 403?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*b - 83*b - 50*b = 2595 for b.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -117 + 477. Suppose 3*a = 4*c + u, 0 = 2*a - 4*c + 3*c - 235. List the prime factors of a.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 - 44013023?\nAnswer: -44013022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 + 7)*48\/14. Let a(q) = 9*q - 135. Let s be a(11). Let n be 8\/30*s\/l. What is the nearest to 1 in -0.03, 2, n?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 383?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 + 125998)\/(27\/(-270)). Round l to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12 and ((-6)\/(-5))\/(126\/(-945)) - -138?\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(2 + sqrt(68) + 4 + (2*sqrt(68))**2 + 1 + -2).\nAnswer: -1385 - 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the first derivative of 0*m - 130 - 7\/2*m**2. Let u(n) be the first derivative of -n**2\/2 + 2. Determine u(f(x)).\nAnswer: 7*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**3 + 4*n**2 + n + 4. Let h be t(-4). Let m be 7*(h\/5 - -1). Suppose 480 = m*i + i. Is i a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2880*17.\nAnswer: -48960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 179*n - 85*n - 89*n - 76 = p, -n - 2*p + 13 = 0 for n.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 256*k**3 + 786976*k**2 + 605208945*k + 604422225 = 0?\nAnswer: -24585\/16, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a millimeter in micrometers?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 28.052 and -2477.\nAnswer: -69484.804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -1. Let u(b) = b + 2. Let j(q) = -2*h(q) - u(q). Let t(m) = 0*m - 6*m + 2*m + 2*m. Determine j(t(r)).\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1136, 2277, 3420, 4565, 5712, 6861?\nAnswer: 8012","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -74*a - 94 + 1056. Solve a*s - 10*s = 0, -t + 4 = 2*s for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 e when four letters picked without replacement from {l: 4, t: 1, e: 1, n: 7, x: 4}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add together -5327463 and -31.9.\nAnswer: -5327494.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 + -3bb?\nAnswer: -3b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**3 + 3*g**2 + 6*g + 2. Let w be d(-2). What is the remainder when 97 is divided by ((-68)\/6)\/(160\/(-24) - w)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**2 + p. Let m be z(2). Let w be (-7)\/m*-1*2. Let l(x) = -x - 2. Let i be l(w). Solve -5 = -5*n + 5*v, 4 = -i*n - 4*v - 9 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 915646?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**3 + 5*l**2 - l. Let d = -610 + 610. Let x(c) = -27*c - 5. Let u be x(d). Give v(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 54613.27kg to tonnes.\nAnswer: 54.61327","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 12 = -6. Suppose 7*a = w*a + 25. Suppose p = -4*p + a. What is the least common multiple of p and 3?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -48*n**2. Let b(h) be the third derivative of 7*h**5\/30 + 575*h**2. What is b(s(p))?\nAnswer: 32256*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2\/5 + 11847524*v\/5 + 17545478116322\/5.\nAnswer: 2*(v + 2961881)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10164 - -10169. Solve 5*p + 13*w - 25 = 14*w, o*w = -5*p - 5 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 300*v**2. Let x(h) = -2*h + 105. Let j(w) = -w + 42. Let r(y) = 5*j(y) - 2*x(y). Give o(r(f)).\nAnswer: 300*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -2\/67 and (-320)\/200 + 339\/(-285).\nAnswer: 1273","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:17 AM and 10:08 AM?\nAnswer: 531","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Convert 1660.964 weeks to hours.\nAnswer: 279041.952","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 7\/(-21) - -1*(-1)\/(-3). Let g be 2\/4 + q + (-36)\/(-24). What is the third derivative of -4*s**5 + 11*s**5 - 17*s**5 + 7*s**g wrt s?\nAnswer: -600*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-1)\/190)\/(18\/7149). Let c = f - -13\/228. Find the common denominator of c and (-69)\/(-23) - (1 + (-4)\/33).\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 843619925?\nAnswer: 5, 33744797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -4*d**2 - 79360*d + 158736 = 0.\nAnswer: -19842, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the second derivative of -23*m**4\/6 - m**3 - 2*m**2 + 2*m. Let z(f) = f**2 + 6*f - 3. Let k be z(-5). Let y be x(k). Round y to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 5*z - 7. Let q(a) be the third derivative of a**4\/6 - 7*a**3\/6 + 34*a**2 + 43. Calculate 3*q(c) - 2*w(c).\nAnswer: 2*c - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(3024) + sqrt(3024)*3))\/((sqrt(7) - sqrt(28)\/sqrt(4)*-3) + sqrt(7) + sqrt(7) + (sqrt(7) - sqrt(7)*-1*-6)).\nAnswer: 144*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*o - 9360 = -33*o. What is the remainder when o is divided by 79?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 41 - 27. Suppose -3*c + w = -2*c + 3*u, u = c - 2. Let l = -2.3 - 0.7. What is the third smallest value in l, c, -2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 118*s**2 + 7*s + 7. Let g be c(-2). Is (-14)\/(-4)*(g\/35 - -1) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 + 2.9. Let s be (-4 - 37\/(-12)) + (-6)\/72. What is the fourth smallest value in -2\/5, l, -3, s?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 7 + 3)*(0 - 1 + 0)*(14*p - 14*p + 40*p**2) + (-2*p**2 + 5*p**2 - 2*p**2)*(1 - 3 - 2).\nAnswer: 36*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 0*w = -5*w - 7, 0 = -4*q + 5*w + 31. Suppose -5*p + p = 0. Solve -q*a - a = p for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 times -1009\nAnswer: 4036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -72*r - 691 - 389 for r.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 2*p**3 - 16*p**2 + 14*p + 8. Suppose -3*d + 2*n + 27 = 0, 0 = -5*n - 3 - 12. Let h be y(d). Let k(r) = -r**2 + 7*r + 5. What is k(h)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -4322*p - 1345. Is v(-28) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1495? (a) -0.4 (b) 5 (c) -5 (d) 0.3 (e) 1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**2 + 4*z + 7. Let m be g(5). Suppose 2*l + 11 = 2*s - 81, 92 = m*s + 5*l. Does 13 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 34 - (4 + 10) - (-2 - -51)\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000036333595 to seven dps.\nAnswer: -0.0000036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, -4, -1 in decreasing order.\nAnswer: 13, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 13260 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 103 is divided by 27?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 121*q - 111 + 12 + 99.\nAnswer: 121*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 2*r**2 + 3*r - 6. Let q(l) = -l**3 - 11*l**2 - 9*l + 10. Let a be q(-10). Suppose 0*o - o - 5 = a. List the prime factors of m(o).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 3*v. Let r(j) = 0*j - 6*j + 2 - 3*j + 6*j. What is r(o(q))?\nAnswer: -9*q + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 4*w**2 + 3*w + 10. Let t(z) = 3*z**2 + 3*z + 9. Give 2*h(c) - 3*t(c).\nAnswer: -c**2 - 3*c - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -20, -5, 97, 5 in ascending order.\nAnswer: -20, -5, 5, 9, 97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33019?\nAnswer: 7, 53, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - x + 1)*(-2064 + 1715 + 3075) as d + m*x and give m.\nAnswer: -2726","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in five eighths of a hour?\nAnswer: 2250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/21*(-14)\/(-18))\/(5\/(2250\/(-10)))?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1403 times 21?\nAnswer: 29463","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 2*p + 16. Let u be g(-4). Sort -5, u, 4 in decreasing order.\nAnswer: u, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3880069 greater than -3880072?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 77*k**3 - 184669*k**2 + 78084425 wrt k.\nAnswer: 231*k**2 - 369338*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t**4)\/t)\/t)\/(t**(-9\/7)\/t)*t\/(t*t**(2\/9))*t**(-5) assuming t is positive.\nAnswer: t**(4\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/3 - (-4)\/6. Suppose q = -3*h - 1 + 10. Let j(d) = 6*d**2. Let c be j(-1). Solve c*m = h*m - 9 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, -3744, -0.2, -6, 62?\nAnswer: 62","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -3*o**2 - 30*o - 121. Let p(x) = x**2 - x + 1. Let v(r) = -m(r) - 4*p(r). Calculate the smallest common multiple of 5 and v(36).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4.54 in 3, 0.1, 17, 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes before 1:06 PM?\nAnswer: 3:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -45*s + 1. Let l be m(-1). Let j = l - 35. What is the smallest common multiple of 5 and j?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3449 - -5902. Let a = -2431.53 + u. Round a to zero dps.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * -26008505\nAnswer: -10403402","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**3 - 18*g**2 + 23*g + 81. Let y be n(-19). Suppose -1172 = -2*k - 2*f, -7*k = -y*k - 3*f - 1182. What is the tens digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (7\/(-966))\/((-90)\/(-1080))\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 14\/9 and -5 + 2 + (-98)\/(-4).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 5*b - 2. Let p be m(1). Let n be (8*3)\/(p*(-5)\/(-60)). Suppose n = -6*z + 10*z. Is 13 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the third derivative of u**4\/8 + u**3\/3 + 10*u**2. Let o(c) = -c + 7. Let r be o(5). List the prime factors of g(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 14*d**2 - 61*d - 265. What is x(-4)?\nAnswer: 203","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24)\/(sqrt(588) + -1*sqrt(588) + sqrt(588) - sqrt(12)) - (sqrt(48) + sqrt(432))\/sqrt(6)) + -4.\nAnswer: -47*sqrt(2)\/6 - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -260257, -520453, -780593, -1040683, -1300729?\n\"Answer: -s**3 + 34*s**2 - 260291*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes before 6:32 AM?\nAnswer: 1:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 - 13 + l - 100 - 18.\nAnswer: l - 145","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sklk when four letters picked without replacement from skkkklskkskslk?\nAnswer: 8\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 529555.9 days?\nAnswer: 12709341.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -61223.5 to the nearest 1000.\nAnswer: -61000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5375\/50*(2 + 20\/25). Is t smaller than 1506\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -5 + -2 - (9 - 7).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23 - (106 + -20) - -34?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.2, 2\/17, 4, -0.26?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -164613, 0.4, 2, -0.4 in descending order.\nAnswer: 2, 0.4, -0.4, -164613","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(144)\/sqrt(4))\/(sqrt(36)\/(sqrt(6)\/sqrt(2))))**2.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*u**2 + 2 - 31*u**2 + 23*u**2 to the form y*u**2 + w*u + j and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -3100828, -3100827, -3100826, -3100825?\n\"Answer: n - 3100829","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -242*c**3 - 191*c**3 - 962*c**3 - 1.\nAnswer: -1395*c**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 8*l - 37. Let a be o(5). Suppose h + 3*z = -2*z + 35, -a*h - 3*z = -45. What is the remainder when 69 is divided by h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - -1) + (3 - 19 - 1)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n**2 + n**2 + n**2)*(-14*n**2 + 2*n**2 + 2*n**2)*(752*n - 26 + 26 + 1018*n).\nAnswer: -35400*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 50609 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tjtj when four letters picked without replacement from {t: 7, j: 5}?\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1033 + 1290. Calculate the remainder when i is divided by 52.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16 - 13. Let z = 1 - -1. Suppose -3*w - 6 = k*s, 2*s - 5*s + z*w + 19 = 0. What is the smallest common multiple of 10 and s?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 118?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3194*b**5 + b**4 + 5*b**3 - 696*b**2 - 164 wrt b?\nAnswer: 191640*b**2 + 24*b + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 3*n**2 - 69*n + 69. Calculate a(22).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/125 of a litre in millilitres?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*u + 2*u - 55 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01013267583 rounded to 3 decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 94292 and 24228758?\nAnswer: 4286","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a millisecond in microseconds?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vkci when four letters picked without replacement from {v: 4, k: 1, a: 3, c: 4, i: 2}.\nAnswer: 4\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6236, 48670, 163440, 386714, 754660, 1303446, 2069240, 3088210?\nAnswer: 4396524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 879336 a multiple of 189?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 653019?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.0062 - -8.0062. Let y = -12851726.3999793 - -12851718.4. Let p = w + y. Round p to six dps.\nAnswer: 0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6878 = -2*s - 59676. Let p = s - -11799. What is p rounded to the nearest one thousand?\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 221295121 and 69?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 47*d**2 - 1231*d + 277. What is f(26)?\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1427430280\/3 greater than or equal to -475810094?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -92 and -0.86?\nAnswer: 79.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 802400477 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times 1066?\nAnswer: -5330","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -7*p - 9. Let l be (0 + (-1 - 4\/8))*2. What is the remainder when n(l) is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (30\/20)\/((-765)\/(-12)). Let s = y + 3\/17. Sort s, 3, 4 in ascending order.\nAnswer: s, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the first derivative of j**6\/30 + j**5\/20 + 37*j - 75. Let b(g) be the first derivative of n(g). Find x such that b(x) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -41496.27512 - -0.3\nAnswer: -41495.97512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.036 + -0.036. Which is the nearest to -13? (a) 4\/3 (b) d (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**3 - p**2 - 3*p + 5. Let g be x(2). Determine o so that -2\/3*o**2 + 1\/3*o**g + 1\/3*o + 0 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17405*o**4\/2 + 140361*o**3\/2 + 166281*o**2 + 21568*o + 720 = 0. What is o?\nAnswer: -9\/5, -4\/59, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -2104663 (base 8) to base 12\nAnswer: -22b983","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -n - 6, 0 = 2*i + 2*n + 52. Let q = i - -47. Let c = q + -24. Solve -x = -c*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19987 + 13687. What is p rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 8 - 9*z - 2*z**3 + z - z + z**3 + 9*z**2. Let x be w(8). Factor 16\/7*m + x - 20\/7*m**3 + 6\/7*m**4 + 8\/7*m**2.\nAnswer: 2*m*(m - 2)**2*(3*m + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, -2\/5, -8\/3, 4, 0.4, -71 in descending order.\nAnswer: 4, 0.4, -1\/3, -2\/5, -8\/3, -71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-2*7\/14.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3*30\/27*3. Suppose -9 = -2*q + 4*x + 11, -4*q + k = 2*x. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 2*h + 9238 = 0, 3*i + 7849 = -4*h + 35553. What are the prime factors of i?\nAnswer: 2, 2309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7516 + -4786. What is o rounded to the nearest one hundred?\nAnswer: 2700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 52, 47, 32, 1, -52, -133, -248, -403?\nAnswer: -604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/98)\/((-4804)\/16814*14*1\/24).\nAnswer: 6\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2583*m**5 + 361*m**2 + 2*m wrt m.\nAnswer: 154980*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5 and 369515.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -794 + 2023 = -128*x - 417 - 914 for x.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 5*b**3 + 2*b + 3. Let l be m(-1). Let u be (-6)\/l + (-1)\/(-2). Solve -q - q = u for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**3 - 5*k**2. Let f = 10 - 18. Let v = 13 + f. Determine m(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10924 = -1235*n - 3514 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a milligram in micrograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the second derivative of i**3\/3 + 5*i. Let l(o) = o**2 + 3*o + 2. Let s be l(-4). Let d(v) = -6*v + 6*v - s*v. Calculate d(f(c)).\nAnswer: -12*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34567 is divided by 6910?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 215 - 322. Let w = 430 + i. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + -2)*(-4)\/(9 - 1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -1107*k**3 + 26570*k**2 - 47*k - 23. Give o(24).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10899 and 9.\nAnswer: 10899","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1183 - 1183.902. What is s rounded to one dp?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**3 + 13*l**2 - 10*l - 251. What is the remainder when 622 is divided by c(-12)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 137914\/9 - 44543180\/2907. Let i = z + -16\/17. Suppose p = l - 6*l + 21, -2*l = 3*p + 2. What is the nearest to 2 in p, 3\/2, i?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k**5 - 78*k**4 - 135*k**3 + 240*k**2 + 588*k + 288 = 0. Calculate k.\nAnswer: -24, -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**4 - u**2. Let g(h) = 3*h**5 - 5*h**4 - 5*h**2 - 3*h. Let r(a) = -5*b(a) + g(a). What is the second derivative of r(o) wrt o?\nAnswer: 60*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*s + 198 = 55. Calculate the remainder when 20 is divided by s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(-2*1\/4). Let n be (-66)\/(1*(j + -1)). Let d = -47 - n. What are the prime factors of d?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/9, 0.09, 0?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 863216057.\nAnswer: 11, 773, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 + 1 + 15)*(-4*l**3 + 4*l - 4*l)*(-3*l - 3*l + 3*l).\nAnswer: 324*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pcmc when four letters picked without replacement from {k: 1, p: 9, m: 1, c: 5}.\nAnswer: 3\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/1 + 885\/(-20). Let d = 4953\/4 + -1302. Let s = d - g. Calculate the common denominator of s and -51\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 281*f + 281. Calculate s(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 111966 is divided by 129?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 9*u**3 - 4*u**2 + 2*u. Determine l(2).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(28)*2 + -2 + -1 + ((sqrt(84) - (sqrt(84) - -2*(sqrt(84) + sqrt(84)*2 - sqrt(84)))) + sqrt(84))\/(sqrt(48)\/sqrt(4)*-6).\nAnswer: -3 + 9*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4916)\/((-1)\/(-4)*(13 + -15)). Let t = 15021 - q. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of j**2 - j + 6*j**2 + 5045 + 3*j - 5002 + 2014*j**4 wrt j.\nAnswer: 48336*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6604714 divided by -2.\nAnswer: 3302357","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 501674 is divided by 167221?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*d**4 + 64*d**3 - 208*d**2 + 192*d = 0. Calculate d.\nAnswer: 0, 2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 420186, 840335, 1260484, 1680633, 2100782, 2520931?\n\"Answer: 420149*p + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 575.4 and -0.6.\nAnswer: -345.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 34873 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3055796*o**3 - 4843416*o**2?\nAnswer: 18334776","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 46*u**4 - 7418*u**3 + 4*u**2 + 19712259.\nAnswer: 184*u**3 - 22254*u**2 + 8*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 + 3*n**2 - 4*n**3 - 7 + 2*n - 3*n + 3*n in the form u + c*n**2 + w*n**3 + r*n and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -156.813 rounded to the nearest 10?\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.1, 0.5, 1826057?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (49 - 49 + 98)*(-4*h + 4*h + 2*h) as z*h + j and give z.\nAnswer: 196","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -z + 9706, -25*z + 21*z + 38844 = 4*y. Calculate the remainder when z is divided by 83.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*x, -3*k - 2*k - x + 15 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 489 is divided by 303?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14855711 (base 9) to base 7.\nAnswer: 120024160","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 69361*b - 9433091. Calculate r(136).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 233 + -79 - (206 + -80)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 44*y + y - 224910. What is the remainder when y is divided by 88?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 317.007832 to 0 dps.\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1648 + 3239\/2. Calculate the common denominator of o and (-5)\/7 - 3\/(-6).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 183566 is divided by 497?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 3 = t. Sort 7, 13, t.\nAnswer: t, 7, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the third derivative of r**4\/12 - 11*r**3\/6 - 3*r**2. Let i = -4114 + 4108. Let w(u) = u - 5. Determine i*f(v) + 13*w(v).\nAnswer: v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-168)\/(-546)*(-13)\/(-42).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 391952?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6542 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18 + -16. Let h(q) = 2*q - q - 2*q - q**n + 2*q. What is h(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*o + 463 = -608. Suppose 69*n - o*n - 6600000 = 0. Round n to the nearest one hundred thousand.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1, -1587, -17368, -2\/9?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 5 = -q, 3*q + 5*t = -0*q + 17. Which is bigger: -5\/3 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**3 - 2*s**2 + 2*s - 1. Let f be u(1). Suppose f = -5*d + 497 + 78. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1904.\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 308\/66*(0 + 6). Let l = a - 33. Let j be l - (-12)\/4 - -5. Solve -5*f - j*o = 6 - 2, 5*o = -4*f + 2 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(-51)*240\/520*39\/(-15)\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-44 - 24 + 2)*(4 - 1 - 2)*(-3*o + 0 + 0)*(-7 + 2 + 3) in the form z*o + a and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25764 divided by -2147.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1166 by 17.\nAnswer: -1166\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/16 and -27\/114424.\nAnswer: 228848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = s - 0*j - 2*j, 0 = 5*s - 2*j + 15. Let g be (-2*18\/(-15))\/(4\/10). Sort s, -5, g in increasing order.\nAnswer: -5, s, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5514 is divided by 1102?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**3 - 18*s**2 - 17*s - 30. What is the remainder when h(19) is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g**3 - 2*g**3 - 4 + 12 + 3*g**3 + 12*g = 0 for g.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 20686?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 18*l**4*u**3 + 187960*l**4*u**2 - 6958143*l**2 - l*u**3 wrt l?\nAnswer: 432*l*u**3 + 4511040*l*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00286191903 rounded to six dps?\nAnswer: -0.002862","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 96918105 to the nearest integer?\nAnswer: 459","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.35484406 to two decimal places.\nAnswer: 0.35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n - 0*n + 40. Suppose 0 = -s + 5*s - n. What is the closest to 0 in -3, -4\/5, s?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 411 is divided by 106?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13*j**3 - j**2 - 14*j**3 - 36*j**3 + 11*j - 28*j wrt j?\nAnswer: -222*j - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2\/3 + 189656*g\/3 + 189655\/3.\nAnswer: (g + 1)*(g + 189655)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (8\/(-3))\/2*(18 - 21). Let z(o) = o**3 + o**2 - 3*o + 6. List the prime factors of z(y).\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1007, -2020, -3041, -4070, -5107, -6152, -7205?\nAnswer: -8266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t**5 - 54*t**4 - 6*t**3 + 316*t**2 + 429*t + 162 = 0. What is t?\nAnswer: -1, 3, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*z**4 - z**2 + 3 + 46100*z - 92200*z + 46102*z as v*z**3 + d + f*z**2 + o*z + t*z**4 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**2 + 20*d + 102. What is r(-11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3715*a + 5*v = -3703*a - 11, -4*v - 30 = a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 2*x**3\/3 + 1240*x**2\/3 + 7378*x\/3 + 6140\/3 = 0.\nAnswer: -614, -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1280976583 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (2 - (-1 + 7)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -40690 + 8491*t + 40689 - 8492*t. Let y(a) = -4*a - 2 - 6 + 3. Let m(j) = -j**2 - j - 2. Let o be m(0). Give o*y(i) + 9*b(i).\nAnswer: -i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -529 - -537. What is the highest common divisor of 10 and x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4754 - -7983. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 131066096 > 131066098?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 202758 divided by -10.\nAnswer: -101379\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 11*t - 54. Let j be 2\/14 - 530\/(-14). Let s be (-14)\/(-14) - j\/(-12). Is t at least as big as s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 - -8. Let o = -5\/28 - -81\/140. Which is the closest to q? (a) -1 (b) -5 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/19 greater than 3\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -8, -13, -20, -29?\n\"Answer: -u**2 - 2*u - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 7*q + 2. Let l(k) = 3*k + 1. Suppose -2*n + 28 = -4*i, 7*n = 2*n - i + 15. Give n*b(c) - 10*l(c).\nAnswer: -2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5655335, 22621343, 50898035, 90485417, 141383495, 203592275, 277111763, 361941965?\nAnswer: 458082887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**2 - 873*k - 37260. What is l(-45)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + 70519 = -649*w + 7532 - 1613 for w.\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3430260?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y + 20. Let i be c(-9). Let a be -1 + -15 - 44\/i. Let l = a + 29. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1346504.\nAnswer: 2, 37, 4549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 6, 4, -3 in increasing order.\nAnswer: -10, -3, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*f**3 + 19*f**3 + 2*f**3.\nAnswer: 16*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2601273721 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8597911cm to kilometers.\nAnswer: 0.000008597911","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1257 is divided by 85?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1\/50 + -41\/50. Let f = 9031 - 9048. What is the nearest to f in -1\/5, -0.5, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 313.73611575982 and 0.1.\nAnswer: 313.83611575982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -31*a**2 - 2*a**3 + 3*a**4 - 2 + 20*a**2 + 12*a**2 + 2*a to the form m*a**3 + u*a**2 + f + k*a + i*a**4 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes before 7:29 AM?\nAnswer: 11:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*q**3 + q**3 + 2*q**3)*(0 + 7 + 0)*(-5*q - 15*q + 3*q).\nAnswer: 119*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3885\/26 or -148?\nAnswer: -3885\/26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1643 and 155?\nAnswer: 8215","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10*x**4 - 47*x + 47*x + (-3 + 3 + x**2)*(-x**2 + 0*x**2 + 0*x**2).\nAnswer: -11*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1829 and 472.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 2*y**2 + 6*y - 1. What is k(-6)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1073856 divided by -22848\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, c: 8}. What is prob of picking 2 c and 1 g?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*a*v**3*y + 3*a*v*y**3 - 462832*a*y**3 + 3*a + 778207*v**3*y**3 - v wrt v.\nAnswer: 48*a*v*y + 4669242*v*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -27348 by 6837.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 54 + -32. Let d = u + -94. Let v = 357\/5 + d. Is v smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.6 (b) -127\/4 (c) 5 (d) -553\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s - s - 2*s)*(-1 - 13*s - 1 + 4*s)*(2 - 1 + 0).\nAnswer: 36*s**2 + 8*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 65929 - 46973. What is the hundreds digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 616642253 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fflfffll. What is prob of sequence flll?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1492, 6045, 13658, 24325, 38040, 54797, 74590, 97413?\nAnswer: 123260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - -3 - (-3 + 1) - 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 78797168?\nAnswer: 2, 4924823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.094 - 40.094. Let x = 47 + f. Put -2, -0.4, x in ascending order.\nAnswer: -2, -0.4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + 4*u = 10, -2*q + 3*q - 3*u = -13 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 21725670 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 3*i**3 - 3*i - 6. Let k(b) = b. Let d(y) = -y - 2. Let m be d(-1). Let w(g) = m*z(g) - 3*k(g). What is the first derivative of w(t) wrt t?\nAnswer: -9*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 2*i**3 - i. Let v(w) = -13*w**3 - w**2 - w - 4. Let p(c) = 6*j(c) + v(c). Determine p(-2).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5.7 + -5.51. Let n = 0.49 - s. Suppose 73 = -5*m + 23. Sort n, m, -2 in decreasing order.\nAnswer: n, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*p**2 - 12*p**2 + 9*p**2 + 4*p**2 - 11*p**2.\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3433170 by 5.\nAnswer: -686634","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 c when four letters picked without replacement from cccccc.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 26644843 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 45, -68, 4 in ascending order.\nAnswer: -68, 4, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -24*c**2. Let h(f) = 40*f - 28. Let j(w) = 4*w - 3. Let z(u) = 6*h(u) - 56*j(u). Determine m(z(s)).\nAnswer: -6144*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*o**2 + 0*o**2 - 5*o**2)*(-3*o - 3*o**3 + 3*o) + 4*o**5 + 3*o**5 - 5*o**5 + (2*o**2 - o**2 - 2*o**2)*(-5*o**3 - o**3 + 3*o**3).\nAnswer: 8*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.1 + 2.9. Let p = 13 - 16. Let u(a) = -2*a - 6. Let w be u(p). Sort t, 3\/5, w.\nAnswer: w, 3\/5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 + 22\/(-14) + 72252\/(-126). Let r = -377 - b. Is 41 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**4\/2 + 214809*v**3\/2 + 1914810624*v**2 - 279910293030*v.\nAnswer: 3*v*(v - 145)*(v + 35874)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 - z**2. Let t(r) = -6*r**3 + 2*r**2 - r + 1. Let d(f) = -t(f) - v(f). What is the tens digit of d(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00364834979 to 7 dps.\nAnswer: -0.0036483","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -860 - 1596 = -382*s - 164. Solve -2*x + s = z + 2, x = z + 8 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -336, -2320, -7688, -18126, -35320, -60956?\n\"Answer: -281*x**3 - 6*x**2 + x - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 723 is divided by 222.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:44 AM and 6:24 AM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (88\/(-12))\/(-11)*(-15)\/(-2). Let d be 18\/15 - 2 - 231\/105. Which is the biggest value? (a) -49 (b) d (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -32 + -1. Let f = x + 32.9. Which is the third smallest value? (a) 2\/55 (b) -0.2 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -30 - -10?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + -1 + (8 - (2 - -3)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**2 - 7*u - 11. Let o be h(-6). Let n be (2 + 5)*(-24)\/28. Let q be (4\/n)\/(o\/15). Solve j + 0 + 12 = q*v, j = -v for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 41 = 3*p, 0 = -0*p - 4*p - 20. Let g be w\/((-51)\/15 + 3). Let r = g + -32. What are the prime factors of r?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, -21, -13026 in descending order.\nAnswer: -12, -21, -13026","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 647*q - 647*q - 122*q**2 + 475*q**2 + 161*q**2 to the form c + s*q + k*q**2 and give k.\nAnswer: 514","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c*c**(1\/3)))**6)**31\/(c*c**(4\/5)*c**5*(c\/c**(-4))\/(c*c*c**4*c)) assuming c is positive.\nAnswer: c**(-334\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 252 and 27153?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 231 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*p**2 + 226045*p - 140643590.\nAnswer: -5*(p - 44578)*(p - 631)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 367\/2 - 183. Let x = -5 + 3. What is the nearest to x in m, -0.6, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/(-1) - (-2 + 259\/56). Let t be (-4)\/(-1)*((-14)\/4)\/1. Which is the fourth smallest value? (a) f (b) t (c) 2\/3 (d) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 1195?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 887799167 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 - 27 = 4*r. Which is greater: 8.9 or r?\nAnswer: 8.9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + 36483d?\nAnswer: 36483f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let s = 11.75 - 11.77. Is -2\/17 >= s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.332 + 5.332. Put -2\/39, 2\/7, b in ascending order.\nAnswer: -2\/39, 2\/7, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**3 + 7*i**2 + i - 4. Suppose -5*x = -2*x. Suppose x = -l + 2 + 5. Let d be k(l). What is the closest to 1 in 5, -5, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90*k - 92*k - 3*t = -20305, -50720 = -5*k + t. Does 71 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 494?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12284 by -6142.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*k - 2*k - 2*k - 8*k in the form l*k + o and give l.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 + 0. Let n = -2 - w. What is the lowest common multiple of 2\/n - (2 + -18) and 8?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -6*(4\/24 + (-12)\/18). Sort s, -54, 4 in increasing order.\nAnswer: -54, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7702, 5, -6, -1, 29 in increasing order.\nAnswer: -7702, -6, -1, 5, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -69*u**4 - 3*u**2 + 13?\nAnswer: -1656*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1299 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes after 10:16 AM?\nAnswer: 1:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 87*m + 8. Is g(27) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - b = -4. Let k = b + 4. Calculate the remainder when -5*1*8\/(-10) is divided by k.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v + 959 = -1. Suppose 0 = 2*q - v + 108. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**3 + b**2 - 1. Let q(n) = -5*n**3 + 7*n**2 - 2*n - 6. Let y = -1 + 7. Suppose 6 = 2*h - y. Calculate h*p(t) - q(t).\nAnswer: -t**3 - t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -767*v + 370. List the prime factors of z(-5).\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -96.1 (b) 2.1 (c) -14 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (6076\/35)\/(124\/775) is divided by 64?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, a: 1, z: 1, i: 1, j: 1}. Give prob of picking 1 i, 1 z, and 1 a.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -86171.6 - -30.256\nAnswer: -86141.344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2*(-21)\/12*(-8)\/(-7). Solve 0 = -l*j - 3*w + 3, 2*j - w + 14 = -j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**3 - 9*o**2 + 16*o + 4. Let s be t(7). Calculate the greatest common factor of s and 162.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 8 + 83c9?\nAnswer: 8404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.5367 to two decimal places.\nAnswer: 6.54","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 60 = -0*n. Let k(x) = 2*x - 1. Let a be k(3). Suppose 5*h = -a + n. List the prime factors of h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (-17 - -14) - 3\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 55 + -13. Calculate the remainder when m is divided by (-75)\/20*(2 - 6).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2.224 in 0.5, -0.2, 6, 1, -1\/7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4733136t to nanograms.\nAnswer: 473313600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48120*j = 42880*j - 723120 for j.\nAnswer: -138","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 0 + 4\/5*k - 2\/5*k**4 - 4\/5*k**3 + 2\/5*k**2 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/((54\/12 + -5)\/4). Solve 11*n = -b - 17 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3f (base 16) to base 11\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 27 - -6. Let r = -36 + g. Sort 2, r, 0.5 in decreasing order.\nAnswer: 2, 0.5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -1 - 2 + v - 12*v**3 - 2 + 7. Let j be h(-1). Suppose j*n - 88 = 42. What is the third smallest value in 2\/23, 2\/9, n, -4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8845, 35714, 80611, 143536, 224489?\nAnswer: 323470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j - 117 = -68. Suppose -70 = j*o - 1449. What are the prime factors of o?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 20507862?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.65075369698 take away -4?\nAnswer: 10.65075369698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 5*c**2. Let n(a) be the second derivative of -a**6\/720 + a**4\/12 + a. Let o(y) be the third derivative of n(y). Give o(z(q)).\nAnswer: -5*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -3*w + w. Let x be (w - 1)*30\/(-4). What is the hundreds digit of ((-72)\/3)\/(-1 + 12\/x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -15, 3, 47 in decreasing order.\nAnswer: 47, 4, 3, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -i - 0. Suppose 81*c - 82*c + 1 = 3*y, y + 5*c = 5. Suppose 2*f + 0*p + 2*p - 138 = y, -i*f - 5*p = -138. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4 - (-12 - -8) - 2*2. Determine d, given that -214*d - 3*d**2 + 232*d + 4 - c = 0.\nAnswer: 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -98, -4\/7, -4\/3 in decreasing order.\nAnswer: -4\/7, -4\/3, -98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 11917 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i**2 + 6*i**2 - 3*i**2)*(-i + 0*i + 3*i) - 3*i + 3*i + 2*i**3 + 0*i**3 + 4*i**3 - 2*i**3 + i - i - i**3 + 2*i**3 + 9 + 2*i + 0*i - 4 - i**3 + 5 - 5.\nAnswer: 6*i**3 + 2*i + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*d + 0 + 0 + (5 - 1 - 3)*(d - d - 2*d).\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 607 - 593. Suppose -2*b - 4 = -4*z, -12*b + 10*b + p = 5*z. Solve -3 - 2 = -b*m + g, 0 = -m + 4*g + 13 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14903328 divided by 242.\nAnswer: -61584","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 39056.012 and -0.5.\nAnswer: -19528.006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-93)\/(-124))\/(3\/28).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18.5 + 18. Let o = w + 0.8. Which is the closest to 2\/7? (a) 5 (b) 0 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 - 6. Let f = 1.9 + h. Let s = -9 - -6. Sort s, f, 0.5 in descending order.\nAnswer: 0.5, f, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-9)*18\/((-19)\/((-38)\/(-4)))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8 and 4056888?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 1559 = 3*z, 10 = 4*f - 6*f. Let g = z - 292. List the prime factors of g.\nAnswer: 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 511, 1017, 1519, 2017?\nAnswer: 2511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 2*n - 74, 0*k + 3*k - 130 = -4*n. Let c = n + -12. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 28550 = 60886. Let u = j - -1989928\/89. What is the common denominator of u and 28\/11?\nAnswer: 979","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 16*m**3*p**3 - 10*m**3 - 256*m**2*p**5 + 58*m*p - 3 wrt p?\nAnswer: 96*m**3*p - 5120*m**2*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 969909 to the nearest integer?\nAnswer: 985","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14 + 17. Suppose o + 82 = 3*z, -m*z + 0*o = o - 86. Factor 2*s**3 + z - 28.\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 - 10 - 2*z - 3*z.\nAnswer: -5*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 + -380 + (-1 - 7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the second derivative of g**7\/42 + 5*g**3\/6 + g**2 - 6*g. Let t(p) be the first derivative of l(p). Differentiate t(x) wrt x.\nAnswer: 20*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 191?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the third derivative of -q**4\/8 - q**3\/2 - 4*q**2. Let u = 7 + -9. Give z(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8556, 149, -8 in ascending order.\nAnswer: -8, 149, 8556","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -3*m**2 - 51*m + 14. Let j be g(-17). Let v be 26\/(-455)*j\/6. Let p(d) = -9*d**3 - 2*d**2 + 2*d - 1. Let b be p(1). Is b > v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6357 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1934 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, y: 1, a: 2, z: 1, m: 1, n: 1}. What is prob of sequence yam?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11068 divided by 11307.\nAnswer: 11068\/11307","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(1\/5))**(3\/8)*(x\/(x\/x**(-2\/3)*x)*x)**24*(x**(-1)\/x)\/(x\/(x\/x**(-5)))*x**(1\/4)\/x*x**(1\/5) assuming x is positive.\nAnswer: x**(-539\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 32343, 259820, 877249, 2079606, 4061867, 7019008, 11146005, 16637834?\n\"Answer: 32496*r**3 + 5*r - 158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 2*r. Let u(p) = -1. Let t(m) = -m + 6. Let w(k) = t(k) + 6*u(k). Calculate d(w(i)).\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (5 + (sqrt(128) - (sqrt(128) + -3)) + (sqrt(128) - ((sqrt(128) - -4*sqrt(128)) + -3)) + 0)*3.\nAnswer: -96*sqrt(2) + 34","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -12 (b) 2\/9 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*k**4 + 5*k**3 + 110*k**2 + 220*k + 120.\nAnswer: -5*(k - 6)*(k + 1)*(k + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3\/2 or -0.0913?\nAnswer: -0.0913","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in three tenths of a meter?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 207*j + 61?\nAnswer: 207","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 106331, -0.5, -1\/6, -2.5, -5?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9225 = 54*z - 17937. What are the prime factors of z?\nAnswer: 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6\/4)\/((-12)\/(-16)). Let b(o) = 10*o**2 - 3*o + 2. Let k be b(j). Calculate the greatest common divisor of 9 and k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15117 is divided by 225.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 508 + 2*m**3 + 3*m - 3*m + 1122.\nAnswer: 2*m**3 + 1630","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 13211387 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 1551 + 7138 = -5*b, 0 = 3*b - 2*f + 3360. Let t = 1655 - b. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.58 - 0.38. Let a be -5*(-12)\/80*(-4)\/18. What is the closest to -1\/4 in f, 1\/11, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/7 + (-7)\/(245\/(-2120)). Let a be (-1 - -2)*(-2 - -61 - 0). Which is smaller: u or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4491587.\nAnswer: 17, 264211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10876 + -10366. Does j = 510?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -3. Let t(c) = c**2 + c + 10. Determine 2*t(i) + 7*w(i).\nAnswer: 2*i**2 + 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/37, 3, 40, -0.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:58 PM and 4:46 AM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1397?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.3 + 1.7. Let n = -2 + p. Let s = 0.5 + n. Which is the second biggest value? (a) -3 (b) 3\/7 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 + 4223223?\nAnswer: 4223219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17283 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 - 7c0a?\nAnswer: -7c0a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-2)\/(-12))\/(624\/(-96)))\/(-4*(-3)\/54)?\nAnswer: -3\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1576 = -27*y - 1333 for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/7 in 0.2, -2, -1, -4225, 5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*w + 4*w - 9*w - 9*w + 18*w**2 + 29*w**2.\nAnswer: 47*w**2 + 13*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:10 AM and 9:44 AM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1.177 from 0.0224.\nAnswer: -1.1546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -4*u + 27, 52*p - 48*p - 5*u = 87. Suppose 0 = -p*g + 14076 + 9062. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38582.\nAnswer: 2, 101, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, 0.13, 2, -1, -2\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2666 (base 7) to base 11\nAnswer: 855","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-15)\/2*2\/(-3). Let r(m) = 3*m**2 - m**3 - 5 - 3*m**3 + 3*m**2 + u*m**3 - 2*m. Let j be (3 + -2 - -1) + -8. Give r(j).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0\/(1 + (-4 - 2)). Let j be ((-2)\/4 + 2)*(-160)\/(-48). Sort i, 6, j.\nAnswer: i, j, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10228906 is divided by 1136544?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -115607 - 91.\nAnswer: -115698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 162 (b) -0.4 (c) 5\/2 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**3 - 36*r**2 - 68*r + 5. Determine t(-34).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -28146.000022283 + 28146. Round t to 7 dps.\nAnswer: -0.0000223","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (1 - 3) + -4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, c: 1, b: 1, e: 1, z: 2, i: 1}. What is prob of picking 1 z and 1 e?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 - (-4 - (-1 + 3)). Suppose -d - 5 = -5*w + 5, 0 = -f*d. Suppose -82 = -w*b + 114. What is the highest common factor of b and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 90411 is divided by 6932?\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -30 (b) -781725 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence st when two letters picked without replacement from irriistswist.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*s + 125 = 27 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74772 is divided by 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3899, 31521, 106581, 252797, 493887?\nAnswer: 853569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 28249848 by 3531231.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - j)*(-3 + 3 - 9*j)*(2*j - 4*j + 3*j)*(-1298 + 760 + 1272).\nAnswer: 6606*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2702*n + 5397*n - 31 - 2692*n.\nAnswer: 3*n - 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -5055*j**2. Let p(l) = 462*l**2. Determine d(p(f)).\nAnswer: -1078959420*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(9\/5)*b**(-8) assuming b is positive.\nAnswer: b**(-31\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -478, -475, -478, -493, -526?\nAnswer: -583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uwpvuzzzhzzwp. Give prob of picking 1 h and 2 w.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 - 2)*(-x + 32 - 14 - 3*x**3 - 17 + 2*x**4).\nAnswer: -6*x**4 + 9*x**3 + 3*x - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -662228*j**3*z**3 - 384279*j**3*z**2 wrt z?\nAnswer: -3973368*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/4 and -47\/10424.\nAnswer: 10424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -3*j**2 - 24*j + 5. Calculate the remainder when 12 is divided by b(-8).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 - 9. Suppose 10*s - 19 = 161. Suppose -5*b - 3*z - 30 = 2*z, -s = 2*b + 5*z. Which is bigger: u or b?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*x**3 + x - x - 9*x**3 - 5*x**3 + 3*x**3 - 6*x**3 + 2*x**3 + 0*x**3 + (-3 + 0 + 2)*(-2 - x**3 + 2) to u + n*x + g*x**3 + m*x**2 and give g.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - 2*r - 2*r + 92, -3*r + 41 = -2*n. Let a = n + 717. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29 + 25 - 23*b - 55.\nAnswer: -23*b - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 4\/5*l**3 + 0 - 2\/5*l**2 - 2\/5*l**4 + 0*l = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.3806555 to three dps.\nAnswer: -0.381","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x and 1 h when four letters picked without replacement from huhxxxxhhhhhh?\nAnswer: 32\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1043 + 1646. What are the prime factors of j?\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-5) - 27\/5. Let v(f) = -f**2 - 6*f - 1. Let j be v(t). What is the units digit of 10\/4*j\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -38516*k + 193920. Calculate u(5).\nAnswer: 1340","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1793 + 1792.995912. Round h to three dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -567, -1137, -1707, -2277, -2847?\n\"Answer: -570*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 29218 - 29235. Calculate the remainder when 251 is divided by f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 151313581 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -60, 9 in increasing order.\nAnswer: -60, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 34542117?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 42 - 61. Let h = -16 - r. Does 11 divide -1 - (h - (37 - 0))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*128\/(-1920)*(1 + -1)\/1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lf when two letters picked without replacement from lflllllllfll.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h - 2. Let n(v) = v**2 + 7*v + 2. Let t be n(-7). Suppose -t*s = -2 + 12. Calculate q(s).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = 4*f - 35, -f + 7 = 2. Let r be 286\/66 + (-2)\/(-3). What is the third smallest value in 4, r, c?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-252)\/(-2310)*7\/(-56)*20?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 + 2)*14\/(-42). Suppose -3*s + 15 = q, -2*z + s = -4 - 39. Which is bigger: 25 or z?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 125332, 124734, 124136, 123538, 122940?\nAnswer: 122342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3 + 2 - 2) + 318. Suppose 5*s - p = 5*i, 2*i + 285 = 5*s + 7*i. Suppose 0 = 2*n - s + 6. What are the prime factors of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 17*p - 6*p - 4*p. Let g(n) = -4*n**2. What is g(a(h))?\nAnswer: -196*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -153*g**5 - 16*g**3 + g - 2706?\nAnswer: -3060*g**3 - 96*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1925*k + 4390 + 3827*k - 4089*k**2 - 1902*k - 581 with respect to k.\nAnswer: -8178*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzrwrzrwzzzzrrrr. What is prob of picking 1 w and 2 z?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a millennium in centuries?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3036.48 + 2657.5. Let o = -379 - s. Which is the closest to -2? (a) 0.2 (b) o (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 + 1. Suppose a = -5*i + 3*i + 24. Let w be (3 + 3)\/(2\/i). Calculate the highest common divisor of 12 and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the first derivative of 1\/2*k**2 + 1\/16*k**4 + 0*k - 24 - 5\/12*k**3. Factor b(o).\nAnswer: o*(o - 4)*(o - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*w - 876 + 912 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(153)*-1 + sqrt(153))\/sqrt(9).\nAnswer: 7*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 2*q. Let d(r) = -r**3 + 8*r**2 - 5*r - 6. Let c be d(7). Let j(p) = -p - 3. Let a(x) = 2*x + 8. Let b(g) = c*j(g) + 3*a(g). Give 3*b(n) + 4*t(n).\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -169 + 171. Factor -5*h**2 - 89 + 209 - 70*h + 10*h**u.\nAnswer: 5*(h - 12)*(h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 8*j - 10. Suppose 0 = -5*d + 2*b + 169, 6*b + 58 = 2*d + j*b. Let q(y) = -15*y + 7. What is the remainder when q(-4) is divided by d?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2527 and 46208?\nAnswer: 361","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 2*r. Let a(s) = 8*s - 7. Let t(q) = -q**3 + q**2 - q. Let i be t(3). Let h(x) = 2 - x + 1 + 0 - 2. Let j(g) = i*h(g) - 3*a(g). Determine p(j(n)).\nAnswer: -6*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 150163?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*h**3 + h - h)*(32 + 64 - 17) to the form w*h + o + g*h**2 + v*h**3 and give v.\nAnswer: 158","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:06 AM and 9:08 AM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = -6*j + 9 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 0*u = 0. Find the second derivative of 0 - 8*h + 6*h + u + 5*h**2 wrt h.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/25 of a micrometer?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 10949, 10914, 10821, 10640, 10341, 9894?\n\"Answer: -5*j**3 + j**2 - 3*j + 10956","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 3*p - 2 = -4*c, 9 = -4*p - c. Let w = p - 6. Let x = w + 9. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - 1 - (36 - (105 + -49)).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -87 times -23\nAnswer: 2001","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12432 and 1833888.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.02 + 0.42. Suppose -10*y = -2*y - 40. Let u be (2 + -1)*(-5 + y). What is the second smallest value in c, -0.5, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes before 5:32 AM?\nAnswer: 12:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 and 377?\nAnswer: 4524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 296*o**2 + 480*o + 1437. Is 101 a factor of w(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-3)\/(-9) + (-16)\/12)*434. What is o rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 131, -65, -5, -41 in descending order.\nAnswer: 131, -5, -41, -65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 6*n**2 + n**3 - 10*n + 7 - 2*n + 18*n. Let d be t(-5). Solve -4*a + d*a + 8 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -23356 - -980857\/42. Let o = 6512\/5 + -1290. What is the common denominator of d and o?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/2 in -0.2, -52, 2\/5, 1, -16.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 111574559 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-13)\/3 + 4)*6\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4 or -5799\/1211?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3098 less than 6622.1?\nAnswer: 3524.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:17 AM and 4:56 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -124*u. Let r(l) = -65 + 9*l - 7*l + 45 + 20. Give r(f(h)).\nAnswer: -248*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 53502?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 87319743?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -3*m**3 + m + 1. Let u(v) = -4*v**3 + v + 1. Let o(z) = -5*f(z) + 4*u(z). Let x(c) = -5*c**3 - 3*c - 2. Calculate -3*o(l) + x(l).\nAnswer: -2*l**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/(3\/1 - 5). Suppose -2*y = -n - 3*y, y = 2*n - v. Solve n - 21 = -5*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1888883197?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 356 + -198. Let g = s + -76. What is the least common multiple of g and 2?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 147 and 142737?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73*c + 2761161 = 112*c. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1415278 + 42?\nAnswer: 1415320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 i, and 2 c when four letters picked without replacement from ctcrcctrttttctcir?\nAnswer: 9\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 694085 and 1954770.\nAnswer: 95783730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 127 in -38, -2.16, 0.1, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 315192 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 16.760138 to two dps.\nAnswer: 16.76","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3789565.\nAnswer: 5, 13, 173, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*k - 2*k + 2*k)*(0 + 0 + k + (-k + 0*k - k)*(-7 + 3 - 8))*(-2*k - 3*k - 20*k).\nAnswer: -2500*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 39700 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 6) + 7 - (0 - 0).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-42)\/(-54)*(-2)\/7. Let b be 14\/(-4) - (1 - 4). What is the closest to 2 in -5, r, b?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -4 + 5 + 1*5*-5. Let a be p\/(-9) + ((-20)\/(-6) - 4). Solve -4*j + 3*j = 3, -5*y - 14 = -a*j for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**3 + o**2 + 238*o - 1254. Give i(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 27*c**5 - 72*c**4 + 66*c**3 - 24*c**2 + 3*c.\nAnswer: 3*c*(c - 1)**2*(3*c - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 21 + 6 = 0. Let q be 2\/((-20)\/d)*2. Let l = q + 105. List the prime factors of l.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1\/2215 + -2218\/6645. Which is the fourth biggest value? (a) -0.3 (b) r (c) -5 (d) -0.4 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -104142 - 10?\nAnswer: -104202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 o when four letters picked without replacement from {h: 4, m: 5, o: 4, l: 1, n: 3, v: 1}.\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zsszssynsnsss. Give prob of sequence snz.\nAnswer: 8\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 34.1 - -6.9. Let m = y + -40.67. Let u = m + -0.03. Which is the second smallest value? (a) -3 (b) -2\/3 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 3*y - 14. Let j be n(6). Which is the second smallest value? (a) -4 (b) j (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(1\/15))**(-45)\/(j\/j**(-6\/5)*j)**30)**7 assuming j is positive.\nAnswer: j**(-1008)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**4\/n)\/n*n)**(-49) assuming n is positive.\nAnswer: n**(-147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - 4*z = 0, -19*j + 34*j - 19*j = -3*z for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 10*((-42)\/12 + 3)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47 - 7 = 10*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 292 and 365.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 - 67*j**2 + 1199*j + 72. Is y(-82) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 891.854 at most -16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**3 + 8*v**2 + 12*v + 4. Let a be q(6). Let u = 185 - a. What is the greatest common divisor of u and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -72444 rounded to the nearest one hundred?\nAnswer: -72400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (1515\/808)\/((-2)\/16)*(-126)\/(-35)\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of -45 and 455.4476.\nAnswer: 410.4476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 192 and (24\/30)\/(2\/280)?\nAnswer: 1344","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -37999*u - 5. Let r be i(5). What is r rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -342*s = -176*s + 501*s + 194*s - 23247 for s.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 39 and 1593393750?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -79 + (-1 + -49 - -87)\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*u*z**2 + 2*u*z + 4217875*u - 27740402*z**3 - 2*z - 8 wrt z?\nAnswer: 6*u - 166442412*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/6 - 2\/24*14. Let y = 1.576 + 0.224. Sort 3, -0.1, u, y in decreasing order.\nAnswer: 3, y, -0.1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2027.28 - 2027. Let j = 23 - 20. What is the closest to j in 0, x, 2\/15?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.202 + 0.602. What is the closest to 10 in h, 0.2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((((1*sqrt(78))\/sqrt(6))**2 + sqrt(13) + -5)*-6 - (5*(0 + sqrt(1300)) + sqrt(1300))**2).\nAnswer: -234240 - 30*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -71.4607309 to 1 decimal place.\nAnswer: -71.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9874*k**2*u - k**2 + k*u - 4*k - 2119462*u wrt k.\nAnswer: 19748*k*u - 2*k + u - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 14 from 9725.13.\nAnswer: 9711.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2158306?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 7) in base 3?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the second derivative of p**4\/90 - 244*p**3\/45 + 14884*p**2\/15 - 488*p. Suppose o(s) = 0. What is s?\nAnswer: 122","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 + 8*l**2 + 9*l - 14. Let c be a(-6). Suppose 0*p + 6 = 2*p. Solve -3*s - 9 = -0*z + p*z, -c*z + 9 = -3*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1993.\nAnswer: 1993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13 + 14. Let v(o) = -9*o**3 + o**2. Determine v(n).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 725 is divided by 73?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2037833069 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - 2*m + 6, 2*s + 5*m = 5*s + 15. Suppose 2*v + v + 27 = s. What is the tens digit of 5\/(((-9)\/3)\/v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1682198 is divided by 1490.\nAnswer: 1478","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4447244604 to the power of 1\/3, to the nearest integer?\nAnswer: 1644","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (9*r - 9*r + 4*r**2)*(4*r - 3*r + 0*r) + (r**3 - r**2 + r**2)*(0 + 2 - 3) + 12*r - 12*r + 17*r**3 in the form s + f*r**2 + x*r + o*r**3 and give o.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60*h - 2 + 6 + 55*h - 4.\nAnswer: -5*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f + 7. Let z be g(2). Let m = -115 - -273. Suppose z*a - 2*q = 383, -q = -2*a - 5*q + m. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of -2*1*207\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-17 + 2 - 9)*(x + x - 4*x - x - x + 8*x + (-4 - 2*x + 4)*(4 - 1 - 1) + 2 - 2 - x + 2*x + 0 + 0) to m + n*x and give n.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (40\/16)\/((-1)\/(-2)). Suppose 2*b + 57 - 77 = 0. What is the highest common factor of u and b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (5\/(-2))\/1*-2. Let o = 14 + -10. Let j be -1*o\/((-4)\/3). Sort j, -5, d in decreasing order.\nAnswer: d, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the third derivative of -j**6\/150 + j**5\/30 + j**4\/15 - j**3\/5 - 22*j**2. Determine x, given that p(x) = 0.\nAnswer: -1, 1\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 124, 277, 460, 673?\nAnswer: 916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59 - 213 + 62 + 92 + 5*x.\nAnswer: 5*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1ba39 - 59?\nAnswer: -1ba95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 134 - 237512?\nAnswer: -237378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -563*o**3 + 6*o**2 - 10*o - 19. Let z be q(-2). Suppose -3*c - 553 = 2*j - 5081, -3*c - j + z = 0. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -3, -5.26, -1, 13?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -11*n + 3. Let f be h(-4). Let s = f + -56. Let g be 2\/3 - (21\/s + 3). Which is the closest to -0.1? (a) g (b) 0.1 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -338*b**3 + 2 + b - 5 + 1035*b**3 - 337*b**3 - 346*b**3 to p*b + k*b**3 + r + t*b**2 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*w - 32*w = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.131513986 + -8807?\nAnswer: -8806.868486014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -0.1, 1, -4, -318, 0.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i - 2*i + 2*i)*(2 + 2 - 2)*(1 + 2 - 2).\nAnswer: -6*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42 + 56 - 518*x**3 - 98 + 6021*x**3.\nAnswer: 5503*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 5*m + 2*o, 4*m - 18 = 5*o - 2 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 - 4431054?\nAnswer: -4431101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.5463661 to the nearest integer.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 - 1.98. Let m = 1941.5 - 1942. Which is the smallest value? (a) m (b) 1\/2 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 52 - 289. Let x = o + 236.9999899. What is x rounded to 7 dps?\nAnswer: -0.0000101","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/4 (b) 304\/9 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1339215.\nAnswer: 3, 5, 19, 37, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-59)\/(-4) - (-2)\/8. Let t(a) = -a**2 - 4*a + 2. Let s be t(-4). Let j be (-1 + (2 - s))*-3. What is the greatest common divisor of n and j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.08 * 0.5\nAnswer: -0.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 + 70\/(-20))*(736\/(-6))\/2. Solve 0 = 25*v + 8 + y for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/7, -7, -28306, 4, 0.2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 28 = 6*b, 233*b - 236*b + 4*x + 29 = 0. Let -4\/15*l - 2\/15*l**2 + 0 + 2\/15*l**b = 0. What is l?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -11, -93, -58625 in descending order.\nAnswer: -3, -11, -93, -58625","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vynjwnmvyyjvjmn. Give prob of sequence jw.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 162*h - 184*h + 153*h + 425*h + 123*h.\nAnswer: 679*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence udk when three letters picked without replacement from {k: 1, s: 4, q: 1, d: 1, b: 1, u: 4}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-4)*3 - 1\/(-2). Is n not equal to -2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6273 is divided by 33.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/4, 0.016, -5, 0.2 in descending order.\nAnswer: 3\/4, 0.2, 0.016, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, a: 3, r: 7}. Give prob of sequence ee.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -4*j + 12, 3*j + 1 - 10 = 3*v. Suppose 0 = j*g - 16 + 1. Suppose -g*a = -2*a. Is a less than or equal to 1\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m + 10 = 2. Suppose -d - 6 + m = 5*l, 9 = d - 2*l. Which is the second smallest value? (a) d (b) 1\/5 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 2*n - 2, 5*t - 2*n + 5*n = 0. What is the second derivative of -3*x + 11*x**3 - 11*x**t + x - x**4 wrt x?\nAnswer: -12*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a**2 - 14055*a + 14060 = 0.\nAnswer: -2812, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 191387 * 1497.\nAnswer: 286506339","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 5*l**3 + 23*l**2 - 20*l + 37. Is c(15) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 47*d**4 + 2*d**3 - 2*d**2 - 2*d - 29. Let s(j) = j**4 - j**3 + j**2 + j - 1. Let n(k) = c(k) + 2*s(k). What is the derivative of n(p) wrt p?\nAnswer: 196*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, m: 1, i: 1}. Give prob of picking 1 m and 1 i.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = q - 3*g - 33, 2*q - 2*g = 70. Let l = 54 - q. Calculate the common denominator of 49\/2 and (84\/l)\/(2\/(-9)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10257 divided by -3?\nAnswer: -3419","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppvm when four letters picked without replacement from {m: 3, r: 4, p: 2, v: 2}?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7920.\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.743 and 7.\nAnswer: -5.201","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -212, 1, 34, 1557 in descending order.\nAnswer: 1557, 34, 1, -212","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -252*v + 15. Let c(i) = -251*i + 18. Give 5*c(j) - 6*t(j).\nAnswer: 257*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 - -7. Let p be (1088\/(-85) - -13)\/((-2)\/(-20)). Suppose 0 = -5*q, 3*k + 5*q = b*k + p. Solve 0 = d + k*d + 6 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -5*d**3 - 3*d - 3. Let k(v) = -4*v**3 - 2*v - 2. Let y(t) = t**2 - 13*t + 10. Let o be y(12). Give o*u(z) + 3*k(z).\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, -0.19, -0.1, -0.08?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -41 - -77. Suppose -111 = -4*l - 15. Calculate the greatest common divisor of k and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 68\/21 and 29\/126.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 17, 21, 21, 17, 9, -3, -19?\n\"Answer: -2*x**2 + 10*x + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*l**4 - 1095*l**3 - 28773*l**2 - 236721*l - 57399 = 0 for l.\nAnswer: -53, -19, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kzzz when four letters picked without replacement from {k: 9, z: 7}?\nAnswer: 9\/208","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand c**2 - c**3 - c**2 + (c - c + 2*c)*(2*c**2 - 7*c**2 + 3*c**2) - 1 + c**3 + 1 + c**3 - 2*c**3 + 3*c**3 + (-4 + 4 - 2)*(-2 - 2*c**3 + 2).\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 3370*y**4 + 0 - 9*y - 15*y**3 - y**2 - 12*y + 19*y - 2 - 3285*y**4 as b + t*y**3 + n*y**4 + i*y + l*y**2 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3005579 is divided by 1469?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -122*y**2\/11 + 524094*y\/11 + 1048676\/11 = 0. Calculate y.\nAnswer: -2, 262169\/61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*g + 14*g + 158. Let z = g - 51. Let w = 120 + z. What is w rounded to the nearest ten?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*44\/(-33)*6\/(-28).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -18495 - -20016. Calculate the remainder when 4571 is divided by l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 + 6. Let k(j) = -3*j + 19. Let x be k(8). Which is the biggest value? (a) x (b) h (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-48)\/144)\/((-4)\/54). Let a = p - 55\/14. Solve -2\/7*o**3 - 3\/7 + 2\/7*o - 1\/7*o**4 + a*o**2 = 0.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (55 - 27) + -23 + -30?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2*((-2)\/(-4) + 2). Let w(o) = o**2 - 3*o + 2. Let z be w(y). List the prime factors of z + -1 - 3\/3.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4419777\/85 not equal to -51996?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.21 (b) 2\/245 (c) 0.2 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5979 - 2517. Let n be 2\/(-5) + x\/30. What is the greatest common divisor of n and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5\/((-10)\/(-4)) - 0. Let h = 1 + 1. Differentiate -h*n + 2*n + n + 2*n - f wrt n.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the first derivative of -11 - 23*k - 51\/2*k**2. Find the first derivative of s(g) wrt g.\nAnswer: -51","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the third derivative of -a**7\/210 - 17*a**6\/120 - 13*a**4\/12 + 24*a**2 - a. What is the second derivative of s(f) wrt f?\nAnswer: -12*f**2 - 102*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -12 and 4\/43?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 8\/7 (b) 1 (c) -21782 (d) 0.5 (e) -2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 37630516 and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 2*i + 1070, 5*q + 184*i - 1336 = 187*i. Calculate the highest common factor of q and 1345.\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2051600 and 230.\nAnswer: 2051600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22*m + 22*m + 10*m**2)*(-3 + 3 - 2*m**3) + 2 + m**5 - 2.\nAnswer: -19*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -127\/24320 and 39\/35264.\nAnswer: 705280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 79099 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -32 + 30. Which is the closest to -2? (a) f (b) 5 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1405)\/(-843))\/((-38)\/24 - -2). Let w be -3 + 24\/9 + (-21)\/(-9). Solve -l*m + w*n = 18, 3*m = -m - 3*n - 13 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) -40 (c) -0.5 (d) 0.1 (e) -0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-450)\/180 + (-11)\/(-2). Solve -b = m*y + 4 - 13, -4*y + 28 = -4*b for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3 and 5371?\nAnswer: 5374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -2*f**3 - 4*f**2 + 42*f. Let w = -5 + 17. What is the least common multiple of w and d(-6)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f. Suppose -3*i + 5 = -5*v - 25, 5*i - 25 = 0. Let c be 1*7*(-3)\/v. Give r(c).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1095 is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13 - -32. Let v be 35\/(-7)*(-2 - -1). Let x = n - v. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -62*k + 58*k - 552. Let f = k - -146. Suppose 11*r - 18 = f*r. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 44\/15 + 191\/2865. What is the biggest value in 0.048, x, 2\/9, 2\/7?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -271\/1206 - -1\/402. Let x = -0.3 - 0.2. Which is the nearest to 5? (a) u (b) x (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 35 + -14. Let k(i) = -11*i**2 - 1. Let y be k(-1). Let c = y + q. Does 4 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -269*q = 139*q + 816. What is the closest to 0.1 in -11, q, -8, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s + 2*s - 2*s)*(-714942*s**2 + 714942*s**2 - 2866*s**4).\nAnswer: -5732*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -4388, -17566, -39528, -70274, -109804, -158118?\n\"Answer: -4392*u**2 - 2*u + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*j = 9*j + 2317. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 2*g**2 - 202*g - 211. Calculate m(102).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0245693748 rounded to five decimal places?\nAnswer: -0.02457","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 27 + -75. Let x = s - -103. Suppose 0 = -3*g + 45 - 12. Calculate the highest common factor of g and x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -69\/3405332 and -15\/37.\nAnswer: 3405332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1\/18, -0.3, -2\/133, -1, -1\/10?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d\/d**(-2\/39))**(-33)*(d**(3\/16)\/d)\/((d*d*d**(3\/25))\/d) assuming d is positive.\nAnswer: d**(-362049\/5200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (55 - 44 + 77)*(5*c - 4*c + c) in the form r + t*c and give t.\nAnswer: 176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvvvvvvvv. What is prob of picking 3 v?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 253\/510 + 1\/255. Solve 3\/8*x**2 + 1\/4*x**3 - 1\/2 - 1\/8*x**4 - q*x = 0 for x.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 124318 and 57064.\nAnswer: 3480904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1159202?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 32 and 64.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 4 + 8 = 0. Let l be n\/8 - 33\/(-12). Solve 0 = -l*d + 4*d - 2 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1878*j - 1771*j - 3569 = -894 for j.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -167.6 * 14.\nAnswer: -2346.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 858?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((3 + (-66)\/18)*-3)\/(-10)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -8671, -17429, -26277, -35215?\n\"Answer: -45*j**2 - 8623*j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 172093 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: Suppose -66*o + 67*o - 49 = 0. Suppose 60 = -4*z - 4*q, -3*q + o = -2*z - 6. Put z, 3, 2 in decreasing order.\nAnswer: 3, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4324 and 92.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -3*o + 3. Let l(u) = u - 1. Let c be 75\/(-20) + 2\/(-8). Suppose 52 = -3*g + 5*z, 5*z + 17 - 41 = g. Give c*v(n) + g*l(n).\nAnswer: -2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 96952.\nAnswer: 2, 12119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-1)\/x)\/x)\/x**(-1\/34) assuming x is positive.\nAnswer: x**(-101\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14.1 + 10.1. Which is the nearest to -7? (a) 3 (b) 1\/4 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1 and 44?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 76 + -54. What are the prime factors of y?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 149306 rounded to the nearest 10000?\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10? (a) 4 (b) 1\/83 (c) -0.12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(475)*-1 + -1)**2 + -1 + sqrt(475) + -1)*-4 + -4.\nAnswer: -1903 - 60*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*89597.\nAnswer: -8959.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 90996 to the nearest integer?\nAnswer: 302","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.940226 to three dps.\nAnswer: 2.94","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes before 12:49 PM?\nAnswer: 8:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.17 + 0.03. What is the second biggest value in 4\/5, z, -1\/4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 969361.881 and 0.46308.\nAnswer: 969362.34408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 165 divide 10230?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/720*-25*6\/10?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1739393?\nAnswer: 19, 43, 2129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**0*n)**(-1\/18)\/(n*n**(-2\/7))**4*(n**6\/n*n**6*n)\/(n\/n**2*n**(2\/11)*n) assuming n is positive.\nAnswer: n**(6133\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - 1 - (-2 - 3 - (-60 + 66))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 997*c**5 + 4596*c**2 wrt c?\nAnswer: 59820*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the third derivative of v**4\/24 + 12*v**3 + 47*v**2. Let t be n(5). Do t and 77 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73152 greater than or equal to -60\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 - 2*l**2 + 5*l - 3. Let j(t) = -2*t + 8. Let v be j(7). Let g(h) = -h**2 - 4*h + 8. Let a be g(v). What is the units digit of p(a)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aip when three letters picked without replacement from kkapipff?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 + 102?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -35 - -34 - (-91 + 19 - -29)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2162236541?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 374 is divided by 47.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.944 - -5. Let k = -0.214 - q. Let f = k + 0.2755. Round f to three dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6571 and 2.03?\nAnswer: 13339.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k**3 - 54916*k**2 - 54912*k = 0 for k.\nAnswer: -13728, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2149, 0.5, 2\/23, -59\/15.\nAnswer: -59\/15, 2\/23, 0.5, 2149","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -280751, -280821, -280893, -280967, -281043?\n\"Answer: -m**2 - 67*m - 280683","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -84*j - 81*j + 172*j.\nAnswer: 7*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b - 2*b - b**2)*(0*b - 3*b + 4*b)*(2*b**2 - b**2 + 0*b**2) - b**4 - b**5 + b**4 + (-1 + 1 + b)*(4*b**4 - b**4 - b**4) - 106*b**5 + 47*b**5 + 19*b**5.\nAnswer: -40*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51190?\nAnswer: 2, 5, 5119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00595831032 to 5 dps.\nAnswer: -0.00596","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-1)*m*m)**(2\/63)\/(m\/(m\/m**0))**27)\/((m**(-1)\/m*m\/(m\/(m*m**(-5)*m*m))*m)\/(m**(-2\/5))**(-44)) assuming m is positive.\nAnswer: m**(6499\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.05 and 0.028?\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -384840*b**2 - 7*b + 7580038.\nAnswer: -769680*b - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -76 + 101. Suppose -28*y = -p*y - 720. Is y a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3007790 to the nearest 100000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.1 (b) 1\/2 (c) -4.3 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppzgppxppzppzggppgpg. What is prob of picking 1 x and 3 g?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/80*8*-15.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24693?\nAnswer: 3, 8231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the third derivative of u**6\/20 - 9*u**5\/40 - u**3 + 21*u**2. Let d(q) be the first derivative of s(q). What is the second derivative of d(m) wrt m?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2229, -2430, -2631, -2832?\nAnswer: -3033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + 155?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.082, -8.5, 1\/3, 0, 18.\nAnswer: -8.5, 0, 0.082, 1\/3, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 121257 and 423?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -33*i + 106. What is o(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -18? (a) 0.05 (b) 1\/4 (c) 0.1239\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 232360 and 605706?\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 109 + -113. Let g be (6*16\/60)\/(q\/(-10)). Find the third derivative of -6747*n + 6747*n + 8*n**2 - 12*n**g wrt n.\nAnswer: -288*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -6*g + 4*g. Which is the smallest value? (a) g (b) -1\/4 (c) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4 + 1 + -1 + -3 - -47. Let u = j + -32. Let g = 33 + -4. Calculate the remainder when g is divided by u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/10, -4, -5, -11, 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -34706*y**2 + 29497*y**2 + 40 - 40 as k + i*y**2 + j*y and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(3\/13)\/(l*l**(2\/7)\/l) assuming l is positive.\nAnswer: l**(-5\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*y + 16*y - 33824 = 0. Is y a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - 11. Let a = h + 10. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-30)\/9)\/(7\/((-21)\/(-2))).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 - 1)*(-q + q**2 + q)*(-158 - 155 + 466).\nAnswer: -306*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -17*j**2. Suppose 5 = k + 5*n, 2*k + 39 = -k + 3*n. Let f = 13 + k. Let u(i) = i**2 - f*i**2 + 3*i**2. What is u(z(d))?\nAnswer: 289*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*f = 136 - 6. Suppose 7*r - f*r + 54 = 0. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 12 + 12 + u - 11. Let q = -12 + 6. Let w be a(q). Solve -3*p + 5 = -w for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -6, -0.4, -15.104, -3.\nAnswer: -15.104, -6, -3, -0.4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*x + 24 = 4 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2\/4)\/(1\/(-2)). Let i = c + 1. Suppose 2*f - 14 - 32 = i. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1487157662?\nAnswer: 2, 743578831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1216 to the power of 1\/2, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -89 + 443\/5. Let z(x) = 5*x**2 - x - 5. Let d be z(-3). Let f = d + -175\/4. What is the smallest value in 1, v, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/84 and 125\/84.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 896?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 6 - (-2 - (-2 + 4))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 24, -545, -15 in descending order.\nAnswer: 24, -0.2, -15, -545","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*l + 0*l + 3*l)*(5 + 0 - 3) + l + l + 0*l)*(4*l**2 + 6*l - 6*l + (0 + 0 - l)*(-1 - l + 1)).\nAnswer: 20*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10583?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2686*t - 2*t**3 + t**3 + 2686*t.\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the first derivative of g**3\/6 + g**2 - 5*g\/2 - 110. What is z in k(z) = 0?\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2943 and 6976.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -30869 divided by 6\nAnswer: -30869\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -268*((-20)\/(-8) - 3). Is 18 a factor of -12 + 6 + f - 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(-2\/5))**(-11\/3)*w**(3\/5)\/((w**(-7)*w)\/w) assuming w is positive.\nAnswer: w**(37\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y - 19 + 0*y + 17)*(-2*y**2 - 2 + 2).\nAnswer: 2*y**3 + 4*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*f**2 - 14340*f + 124 + 7197*f - 5*f**2 + 2*f**2 + 7171*f.\nAnswer: -f**2 + 28*f + 124","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-56)\/(20776\/(-159)))\/(44\/56).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-164*h - 8 + 49*h + 8)*(6*h**4 + 2*h**4 - 2*h**4).\nAnswer: -690*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the first derivative of -f**8\/840 - 2*f**7\/35 - f**6 - 20*f**5\/3 + 63*f**2\/2 + 51. Let b(q) be the second derivative of n(q). Factor b(l).\nAnswer: -2*l**2*(l + 10)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -482? (a) -1\/8 (b) -5 (c) -0.53 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = 35*u - 39*u + g, -3*g - 14 = 5*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 704 - 704 + f**3 + 0*f**3 - 12*f**4 + 158*f**2 wrt f.\nAnswer: -288*f + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q - 6*q - 108. Let k = -23 - q. Let c(s) = s**3 - 5*s**2 + 4*s + 5. Calculate the least common multiple of 9 and c(k).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -479, -478, -477, -476, -475, -474?\n\"Answer: r - 480","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 2*v - 22. Let h(j) be the third derivative of -j**5\/30 + 2637*j**2. Determine h(t(f)).\nAnswer: -8*f**2 + 176*f - 968","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -54*p - 13. Let o be q(-4). Let s = o + -199. Solve -s*l = l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (42\/216)\/((-2)\/(-16)*(-4 + 10 + -5))?\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -36.54 and 1.\nAnswer: -36.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1aa - 537?\nAnswer: -725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 104 = -2*g, -3*g - 2*g = 5*x - 235. Suppose 4*m = -2*n + 84, -m + 3*n - n + 21 = 0. Calculate the greatest common factor of m and g.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, c: 8}. Give prob of sequence yyc.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 20 + 33 - 139*x**2 - 463 - 144*x**2 wrt x?\nAnswer: -566*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the second derivative of -7*b**3\/6 + 3*b + 1. Let v(t) = 8*t**2. Calculate v(r(s)).\nAnswer: 392*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 j, 1 i, and 1 c when four letters picked without replacement from cciijar.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 - -0.1. Let x = a + -1.1. Let d(v) = -15*v + 10. Let k be d(1). Which is greater: x or k?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*c + 14*c + 55*c.\nAnswer: 94*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66517*h + 57 = -3*a - 66510*h, -3*a = -3*h + 33 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -233, -470, -695, -902, -1085, -1238, -1355?\nAnswer: -1430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 692 - 319. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 + 100 = 2*a. Suppose -4*i + a = -2*i. Calculate the remainder when i is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 3*d**2 + 41*d + 70. Let t be u(-7). Which is smaller: t or -20?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the second derivative of d**4\/4 - 5*d**3\/6 - 41*d**2\/2 + 17*d. Find the first derivative of f(z) wrt z.\nAnswer: 6*z - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 + 14. Let h = y + -7. Suppose -2*i = 3*o + 1 - 2, h*o = -4*i + 8. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u - 342173 = 28*u - 47*u. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/(-2) - (-99)\/(-22). Let g be (-3 + 0)\/(d\/(-16)). Calculate the remainder when 40 is divided by ((-21)\/(-4))\/((-6)\/g).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*c + 15*c - 9 = 0. Let s be (18\/8)\/(1 + 13\/(-16)). Calculate the highest common divisor of c and s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u + 7. Give m(-7).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 267838?\nAnswer: 2, 133919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4034465475?\nAnswer: 3, 5, 53792873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -2*v + 6. Let o(t) = t**2 + 6*t + 4. Let z be o(v). Solve -c = z*c + 25 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (28 - (27 - -10)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-104)\/65)\/(96\/(-80))*-1)\/(2\/9).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-4 + (0 + sqrt(605))**2 + -4) - (sqrt(105)\/(sqrt(56)\/sqrt(8)))\/(sqrt(3) - (sqrt(3) + sqrt(147)*3)).\nAnswer: sqrt(5)\/21 + 2388","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12824 or 679714\/53?\nAnswer: 12824","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 2*t - 98, 8 = -2*t + 2. Suppose v - 3*v = 0. Suppose v = -0*o - 3*o + 39. What is the greatest common divisor of o and x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p = 23*s - 22*s - 6, p + 2*s - 12 = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 3 - 1 = 0. Suppose a - x*c = -2*a + 85, 0 = -3*c - 6. What are the prime factors of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21029443 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes after 11:43 AM?\nAnswer: 9:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 47 + -44. Sort p, -5, 0.2, 2\/13 in ascending order.\nAnswer: -5, 2\/13, 0.2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -606 + 606. Solve h = 52*t - 57*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*m - 3*m - 625*m**3 + 623*m**3 + m.\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1a004 + -155a?\nAnswer: -20563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 12140103 (base 6) to base 15\nAnswer: 7969c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 226 + -402. Let k = b - -180. What is the biggest value in k, 0.4, -13, -0.2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -14 + 14 + 103*y. Let h(m) = 5*m**2 + 9. Let b(s) = s**2 + 2. Let f(q) = 9*b(q) - 2*h(q). Calculate c(f(j)).\nAnswer: -103*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2277, -2181, -2085, -1989, -1893?\n\"Answer: 96*b - 2373","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 10*y - 8 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 121782252 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:29 AM and 3:48 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1884 + -1852 - (0 - 43).\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2486136 or -2486138?\nAnswer: -2486138","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 7*l + 1. Determine m(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-1\/3)\/g*g**(-8))\/(g*g*g*g**1)**29)**46 assuming g is positive.\nAnswer: g**(-17296\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2010.\nAnswer: 2, 3, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21141 (base 5) to base 7.\nAnswer: 4100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 106050201 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00007110865189 rounded to seven dps?\nAnswer: -0.0000711","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1678 = -45*q - 1273 for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - 3) + -1 + -3 + 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.2 rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-6))\/((-17)\/(2295\/72))?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*(t*t*(t*t**1\/t)\/t)\/t*t\/(t\/((t**3\/t)\/t))*(t**(1\/6)\/t)\/(t**(1\/6)*t)*(t*t\/(t**7*t))\/(t\/t**(-1))*(t**0)**42 assuming t is positive.\nAnswer: t**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -500059.6 rounded to the nearest one thousand?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11165*c**2 - 3722*c**2 - 3732*c**2 - 3732*c**2.\nAnswer: -21*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 179318790, 179318792, 179318794, 179318796, 179318798?\n\"Answer: 2*l + 179318788","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 99 = 9*n + 6*j - 9*j, 0 = -n + 2*j + 6 for n.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000054893732 rounded to 5 decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -246, -504, -762, -1020?\n\"Answer: -258*q + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -64 + 64.002. Let t = -0.0019929 + v. What is t rounded to six decimal places?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/(-14))\/(-2 - 0 - -1). Which is the closest to 0? (a) z (b) 4 (c) 39\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 775127 is divided by 866?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4\/(-8))\/((-1)\/8). Let l(q) = 2*q - 4*q**2 + 2*q + q - 3 + 3*q**2. Let a be l(j). Solve 4 = b - a for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*r**4 - 4781*r**3 + 14222 wrt r.\nAnswer: 8*r**3 - 14343*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9992 - -9992.5. Which is the fourth biggest value? (a) h (b) 1\/5 (c) -77 (d) 0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/6*21\/70.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 23 = 5*t, -4*t - 34 = -8*t - 2*m. Suppose 0 = -2*s + 3*s + t. Let l = 3 + s. Put 1, 4, l in decreasing order.\nAnswer: 4, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = 3*p - 13, 5*p = 3*n - 0*p - 1. Is 3 a factor of 3\/(-3) + n - -7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4*5\/(-6))\/((-66)\/(-198)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 2*k + 6. Let r be d(-6). Let o be 1\/3*r\/2. Which is smaller: 2\/5 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + 4*-2*sqrt(2))**2 - (sqrt(2) - (sqrt(50)*5 - sqrt(2)))**2 - (-1 + (sqrt(150)\/sqrt(3) - sqrt(50) - sqrt(50)))**2.\nAnswer: -1011 - 10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 342 is divided by 83.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 + q**2 - 6*q + 3. Let w be l(-3). Solve o + 23 - 37 = -w*p, -p + 8 = 2*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31 (base 4) to base 2.\nAnswer: 1101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/6 of a millennium?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28, -25, -22, -19, -16?\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -12\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 4*m + 12. Let p be v(3). Suppose p*f = 15*f + 441. Calculate the greatest common divisor of 147 and f.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*u**3 + 2*u**2 - 8*u**3 - 3*u**2 + (u - u - 2*u**2)*(-3*u + 39*u + 57*u + (1 - 1 - 2)*(0 - u + 0)).\nAnswer: -195*u**3 - u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -88*d**3 + 19*d**3 - 17*d**2 + 19*d**2.\nAnswer: -69*d**3 + 2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 147 and 6188.\nAnswer: 129948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**2 + 13*c + 32. Let n be h(15). Find the first derivative of -10*p**2 + 33*p**2 + 16 + 3*p**n - 9*p**2 wrt p.\nAnswer: 34*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -2*h - 1. Let v(j) = -j. Let l(f) = -v(f) - z(f). Calculate l(4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*o = -2*o + 25 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -173\/2970 and -116\/10395.\nAnswer: 20790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add together -4 and -4111.\nAnswer: -4115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 16 = 3*c - c, 2*a + 2 = 2*c. Let y = 0 - -2. What is the highest common factor of a and y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, i: 1, w: 1, k: 1, b: 1}. What is prob of sequence ik?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/21 + (35884\/(-714) - -50).\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 8, 2, -1\/3, 4, -3\/19?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -6a444 (base 14) to base 8\nAnswer: -771334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 203002843?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -18*d. Let w(o) = -3*o**2 + 10*o - 35. Let k(u) = -u**2 + 4*u - 14. Let y(h) = 5*k(h) - 2*w(h). Give y(z(p)).\nAnswer: 324*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6977*v - 4*r = -6982*v - 33, 0 = -4*v - 5*r + 31 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/(-21) - 15\/(-35).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -790 by 5.\nAnswer: -158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -10*x + 3. Let k be (248 + -249 + (-3 - -2))*5\/(-2). Let u(s) = 9*s - 3. Give k*f(m) + 6*u(m).\nAnswer: 4*m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -26\/311 (b) 1 (c) -0.4 (d) 2 (e) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 60*x - 10 - 27*x - 13*x + 2*x**3 - 21*x in the form q*x**3 + g + c*x**2 + b*x and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -44454, -44462, -44472, -44484, -44498, -44514?\n\"Answer: -b**2 - 5*b - 44448","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the second derivative of -r**10\/20160 + r**9\/5040 - r**8\/4480 + r**4\/12 + 4*r. Let a(s) be the third derivative of f(s). Factor a(c).\nAnswer: -3*c**3*(c - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*x + 10 = x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**2 - 25*s - 42. Suppose 31*f = 39*f + 184. Let o be n(f). Solve 13 = -o*c - 7 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(343) + (-1 + sqrt(343))*-1)**2*-4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, 367, 4, 35, 1\/5, 1 in ascending order.\nAnswer: -2\/7, 1\/5, 1, 4, 35, 367","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100000 (base 3) to base 12.\nAnswer: -183","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**3\/10 + 274*k**2\/5 + 7871*k\/2.\nAnswer: k*(k + 85)*(k + 463)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -2012 smaller than -2011?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 79030 or 86214?\nAnswer: 86214","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1282422689.\nAnswer: 19, 67495931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 13534 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.5 - 4.5. Let h be 1\/((-1)\/1*1). Which is the nearest to h? (a) y (b) -0.2 (c) -1\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 27\/4 of a gram?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 59 and 514067.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 25731232 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 746259497?\nAnswer: 31, 149, 161563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -149 - -149. Let w(v) be the third derivative of 0*v + 0*v**3 - 1\/30*v**6 + 0*v**4 - 3*v**2 + z + 1\/60*v**5. Find the third derivative of w(k) wrt k.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 463140 is divided by 9081.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 3*b = 4*g - 28772, -g + 5*b + 7193 = 0. Suppose 3*v - 3*a - 4129 = g, -2*a - 18885 = -5*v. Suppose -2*i + 1311 = -v. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-38 - (28 - 6))*(-14)\/4. Calculate the greatest common factor of 50 and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:11 AM and 8:52 AM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4650 = -20*x - 2330. Let r = 890 - x. List the prime factors of r.\nAnswer: 3, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 304 + 906 = -11*a. Let f be (a\/(-70) - (-6)\/14)\/1. Put -0.2, 2\/3, 12, f in decreasing order.\nAnswer: 12, f, 2\/3, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 280440 a multiple of 118?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnnpnnnnpnnnpnnn. What is prob of picking 1 n and 3 p?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 2175 = -0*i - v, 15 = -5*v. Let s = -189 + 343. Let t = i - s. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + h - 54122 = z, 5*h + 4*z = 67621. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56795 rounded to the nearest 10000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(3\/20)*w*(w*w\/(w*w**(-30))*w)\/w)**(-2\/79) assuming w is positive.\nAnswer: w**(-643\/790)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (83\/((-2241)\/(-135)))\/((15\/(-38))\/(-3)).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bc when two letters picked without replacement from rrrbbrrbrrrcb.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 7*x**2 + 5*x + 5. Let f(k) = k**2 + k + 1. Let l(u) = -5*f(u) + h(u). Let r(b) = -b. Calculate r(l(p)).\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 163476?\nAnswer: 2, 3, 19, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 93*y**3 + 2*y**2 - 1. Let i be r(1). Suppose -n - 2*n = -l - 71, -2*l = -4*n + i. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 0) + -1 - (-4 + 3) - -8?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, g: 6, s: 9, c: 2}. What is prob of sequence scg?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the second derivative of f**7\/35 + 4*f**6\/15 + 17*f**5\/50 - 28*f**4\/15 + 16*f**3\/15 - 133*f. Determine b, given that y(b) = 0.\nAnswer: -4, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13624 and 1508.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1232596, 4930378, 11093348, 19721506, 30814852, 44373386?\n\"Answer: 1232594*c**2 + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in four thirds of a day?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 25683, 205552, 693763, 1644486, 3211891?\n\"Answer: 25695*f**3 + f**2 + f - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -5 (b) 12 (c) -2 (d) -2\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 142*w + 948*w + 74*w + 787*w + 702*w - 227*w.\nAnswer: 2426*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 264.95 + -251. Let y = 14 - a. Sort 5, 0.2, y in ascending order.\nAnswer: y, 0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29629 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 - 22. Let z = g - -49. Does 16 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**3 - 11*r**2 - r + 14. Let w be q(11). Let x(a) = -a**3 + 3*a**2 + 4*a - 4. What is the units digit of x(w)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -4*t + 16. Let x be r(7). Let v = x + 25. List the prime factors of v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5266 is divided by 383.\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 k, and 1 a when three letters picked without replacement from karhaghkhokkgkk.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -140, -143, -146, -149, -152, -155?\n\"Answer: -3*v - 137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/(-567)*(-141855)\/(-14475)?\nAnswer: -7\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:31 PM and 2:27 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 + 30 = -5*h. Let v be 150\/4*(-16)\/h. Let r = v - 19. What is the remainder when r is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.75027 millennia in months?\nAnswer: 69003.24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h**7*h))\/h)**(-19) assuming h is positive.\nAnswer: h**152","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -10, -13, -18, -31, -58, -105?\n\"Answer: -n**3 + 5*n**2 - 11*n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (151 - 159)\/((-33)\/297)\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2417276641 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - u = 1, -7021*u = f - 7024*u + 7 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 346 - 333. Let q be (1 - (2 + -3))*65. What is the greatest common divisor of q and g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*q + 23*q + 3*p = 6, 4*q + 3*p - 7 = 0. What is the nearest to 2\/7 in -0.04, q, -13?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5249\/517 + 168\/47. Let v = 1864\/143 - l. Let f = v + 57\/26. Sort 2\/7, -2\/7, f in increasing order.\nAnswer: -2\/7, 2\/7, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*r**2 + 85*r - 190 = 0. Calculate r.\nAnswer: -19, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13397 is divided by 174.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 16 - 4 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.12 (b) 6\/3395 (c) 0.7 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**2 + 8*x - 17. Let f be m(-10). Let s = 6 + 0. Suppose 3*u = -s - 0, 2*q - f*u - 22 = 0. Solve -12 = -5*b + q for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 366227*0.4\nAnswer: 146490.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -5*m**3 - 12*m**2 + 8*m + 8. Let p(t) = -3*t - 7 + 4*t**2 - t**3 + 3*t**3 + 4. Let f(q) = 3*h(q) + 8*p(q). Find the third derivative of f(l) wrt l.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3, -956, 63\/1319?\nAnswer: 63\/1319","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the first derivative of 0*p + 2 - 1\/2*p**2. Let r = 251 + -244. Calculate k(r).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 57 + -169\/3. Let l = 80425\/7 - 11489. What is the nearest to l in 0.5, k, 3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 24*r - 19*r + 29 = 0, t + 13 = -3*r for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * 2.2045.\nAnswer: -1.10225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5384105 to the nearest integer?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 96005602*i**5 + i**2 + 75363451*i wrt i?\nAnswer: 5760336120*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - (25 - 17 - -1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8468.3 plus 303591?\nAnswer: 312059.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the third derivative of i**5\/60 + 18*i**2. Let h(m) = 6*m**2. Calculate h(s(y)).\nAnswer: 6*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17 - c**2 - 17 - 12*c**2 - 3*c.\nAnswer: -13*c**2 - 3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 15415470 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 51\/2581 and -33?\nAnswer: 2581","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:33 PM and 6:18 PM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11564?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.3 + -25.3. Let l = m + 21. What is the third biggest value in 0.3, l, 6?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(2\/11)\/c*c*c)\/(c**(-1)\/c))\/(c**(-5)*c**7) assuming c is positive.\nAnswer: c**(13\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1006847 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 89 - -7c9?\nAnswer: 874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 26 = -2*n, 3*n = 3*c - 7*c + 50. Suppose a = f - 4*f + n, 3*a - 24 = -3*f. Let i(o) = -o + 10. What is the least common multiple of 3 and i(f)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 317 a factor of 44807?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, 1\/3, 5, -3, -136, 3\/2 in decreasing order.\nAnswer: 5, 3, 3\/2, 1\/3, -1, -3, -136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 184864414 to the power of 1\/2, to the nearest integer?\nAnswer: 13596","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -5 - 7. Suppose -d - q + 3 = 0. Let g = d - -19. What is the highest common divisor of 2 and g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23495 divided by 1?\nAnswer: -23495","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 329637 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 1877*h - 355. Let g(m) = 5636631*m - 1066136. Calculate -5*g(s) + 15016*q(s).\nAnswer: 1877*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 25630493 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -4 (b) 2 (c) -1\/2 (d) -40.254 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, t: 3, p: 2, e: 4}. What is prob of sequence st?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 3 = 3*w, -q - 21 = -4*w - 8. Solve 4*h + 5*u - 5 = 0, -q*u = 6*h - h - 16 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 60, 66, 76, 90, 108, 130?\n\"Answer: 2*i**2 + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9\/4? (a) 9 (b) -10 (c) -829 (d) -1 (e) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3177468?\nAnswer: 2, 3, 7, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*l**3\/5 + 81*l**2 - 1147*l\/5 - 312\/5.\nAnswer: (l - 3)*(l + 104)*(4*l + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are 98356 and 98355 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -17943 > -17897?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 197373389.\nAnswer: 197373389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 170286198016 from -0.021.\nAnswer: -170286198016.021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 231573?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58230.\nAnswer: 2, 3, 5, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 12 = 4*h. What are the prime factors of h\/(-4)*(-152)\/(-12)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 796 is divided by 91.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add 24.9 and -0.06.\nAnswer: 24.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 4*f**2. Let t(m) be the second derivative of 0 + 0*m**2 - 55*m + m**3 + 1\/12*m**4. What is t(y(u))?\nAnswer: 16*u**4 + 24*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1585? (a) 0.09 (b) -2\/13 (c) 5 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 50\/(-15)*11\/(-22 + 0)*-6 + 76.\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 0.1 (b) -5 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a minute in milliseconds?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*k = 13*k. Let v = 24 - k. Suppose d + 3 = w, -v = 3*w - 6*w - 2*d. Let n(c) = c**2 - 7*c + 2. Determine n(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 820376983 to the nearest integer?\nAnswer: 28642","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 12*d + 3. Let k be q(-1). Let x be -5*(k\/(-6))\/((-15)\/6). Differentiate -3*o**x + 98 - o**3 - 107 with respect to o.\nAnswer: -12*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*((sqrt(18) - (-2*sqrt(72) - sqrt(18))) + 2*-2*sqrt(18)))\/(-2*sqrt(36) + sqrt(72)\/sqrt(2)))**2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 41 and -1025.\nAnswer: -42025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*q - 8 + 5*q + 10*q)*(-21 + 15 - 11)*(-q - 2*q + 2*q).\nAnswer: 85*q**2 - 136*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -854924\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 79 - 39 - 35 + 6*t.\nAnswer: 6*t + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 4 - 1 + o**2 + 0*o**2 + 5*o. Let w be p(-4). Which is greater: w or -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 18515 or 15?\nAnswer: 18515","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 23*v**2. Let y(i) = i**2 + 2*i. Let h(n) = -3*n. Let s(r) = -16*r + 36. Let x be s(2). Let m(d) = x*h(d) + 6*y(d). Give m(k(b)).\nAnswer: 3174*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*h**3 + 18852*h**2 + 346163*h wrt h?\nAnswer: -18*h + 37704","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.2 and 30523803.\nAnswer: 30523803.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4.8 - -5.34. Let b = -0.26 - s. Let t = -0.79861 - b. Round t to four dps.\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xw when two letters picked without replacement from {p: 4, r: 1, x: 2, w: 2, z: 6, k: 4}.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 69014?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -v + 2*v. Suppose 0 = k - 0*k + 4*h + 7, 4*h = -3*k - 5. Find the first derivative of 2*p**2 + k - 3*p**2 - v wrt p.\nAnswer: -2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - 40) + (27 - -1) - 9\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*g + 3*v + 24, -5*g = 5*v + 31 + 4 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the third derivative of 0*x + 1\/40*x**6 + 0 - 2\/5*x**5 - 24*x**3 - 77*x**2 - 11\/2*x**4. Determine v so that q(v) = 0.\nAnswer: -2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*k**2*w**3 - 16*k**2*w**2 - 18*k**2 - 138*k*w - w**3 - 8*w**2 wrt k.\nAnswer: -8*w**3 - 32*w**2 - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a millimeter in micrometers?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 - -7. Suppose -3*u + r*u + 3 = -o, -3*o = 3. Determine w, given that -2 + 8 + u*w**3 - 6 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 661161632 a multiple of 116?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -838, -105\/11, 5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the third derivative of -x**4\/24 - 2*x**2 - 78*x. Let v(z) = -105*z**2. Determine v(w(s)).\nAnswer: -105*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2580 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13954\/1943163 + -20\/2133. Which is bigger: v or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 - 2)\/(3 - 2). Suppose i*k + 3504 = -4*k. What is the remainder when (-2)\/5 - k\/15 is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 86 + -34. Suppose 5*g = g + v. What is the remainder when 89 is divided by g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 341358?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*p + 8. Let m = -2 + p. Solve -5*n + 19 = m*d, -3*d - 3*n = -n - 4 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-2\/3)*k**(2\/5)*(k**(-2\/7))**(-16) assuming k is positive.\nAnswer: k**(452\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 1293 = 3*s, -23*s + 21*s = -3*w + 1286. Calculate the least common multiple of w and 20.\nAnswer: 2120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24 - (-5 - 14) - -1) + (-4 - 1).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -130*y + 4575. Calculate n(35).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2025 to the power of 1\/2, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-64)\/20 + 4)*90. What is the highest common factor of 9 and h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2022 + -3022303031?\nAnswer: -3022311113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*u = -2 + 14 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the first derivative of i**4\/4 - 4*i**3 + 11*i**2\/2 - i + 1. Let w be c(11). What is the third smallest value in w, 0.1, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -12*o**2 + 1318*o + 201. Give f(110).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-52492*u**2 + 52492*u**2 + 474*u**4)*(2 + 4 - 3) in the form k*u**2 + l*u**3 + x*u**4 + d + n*u and give x.\nAnswer: 1422","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 120 + -129 - (-5 + -3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(3\/8)\/q**12)**(-30) assuming q is positive.\nAnswer: q**(1395\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 54 + -119. Let v = -65 - c. Solve -2*r - 10 = -v, 4*k + 29 = -5*r for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2168 divided by 2\nAnswer: -1084","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30 + -35 + 4 + 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -23 + (6 - 5) - 14\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5*g**3 + 2*g*z**3 - 94*z**3 wrt g.\nAnswer: -15*g**2 + 2*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 2*i**3 + 20*i**2 - 62*i + 381. Calculate p(-13).\nAnswer: 173","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 61122\/2745 + 64\/(-40)?\nAnswer: 62\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = 2*n - 202. Calculate the smallest common multiple of n\/12 - 6\/(-8) and 4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -60 - -721?\nAnswer: 661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 110828 a multiple of 206?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -56*w - 58. Let g(i) = -279*i - 294. Let l(u) = -2*g(u) + 11*n(u). Let s be l(-2). Calculate the greatest common factor of s and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -58685 - -58691. Let i(a) = 9*a**3 + 7*a**2 - 1. Suppose c = 2*l + 1, 0 - 10 = 2*c - l. Let x(j) = 8*j**3 + 6*j**2 - 1. Determine b*i(k) + c*x(k).\nAnswer: -2*k**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -874 - -887. Let g(l) = -l**3 - 9*l**2 - 10*l - 1. Let m be g(-11). Suppose 24 + m = 5*p. What is the remainder when p is divided by y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 459 + -455.26. Let k = -0.1053 + -0.1547. Let r = k - u. What is the third smallest value in 1\/5, -3\/4, r?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -2*h - 11. Let x be p(-8). Let r(a) = -2*a + 15. Let d(n) = -3*n + 17. Let o(u) = x*r(u) - 4*d(u). Give o(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**2 + 38770*s - 542343. Give k(14).\nAnswer: 241","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 8) to base 9\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31 is divided by 22?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11254 is divided by 146.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 189 and 56.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u + 2 - 2)*(-316 + 122 + 194 + 7761*u).\nAnswer: -7761*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0*7\/(210\/(-10))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hxh when three letters picked without replacement from xhhhhx.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 - 26. Let g = u + 65. Does 18 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -131, -5, 5, 3, 284, 4 in descending order.\nAnswer: 284, 5, 4, 3, -5, -131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m - 9 = -1. Let l be (1 + m)\/(-2)*(-41)\/(-123). Put l, -5, 4, 2 in decreasing order.\nAnswer: 4, 2, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*l**3 + 1 + l**3 - 20*l + 17*l as k + q*l**3 + p*l + w*l**2 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2*7\/((-98)\/(-24)). Which is the biggest value? (a) 0.3 (b) x (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 90 and 234870?\nAnswer: 704610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the first derivative of -t**3\/8 - 3*t**2\/16 + 1. Factor m(r).\nAnswer: -3*r*(r + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -33, -74, -4\/67.\nAnswer: -74, -33, -4\/67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 446 divide 291325416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3782 + 3782. Let d(i) be the third derivative of -1\/10*i**6 + 1\/4*i**4 + t + 0*i + 11*i**2 + 0*i**3 + 0*i**5. Find the second derivative of d(k) wrt k.\nAnswer: -72*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-9)\/6*2 - -7. Suppose -g*h - 18 = -3*u - 1, -3*h - 4*u - 19 = 0. Let v be (-2)\/5 - 242\/70. Is v > h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -100131 (base 6) in base 4?\nAnswer: -1322113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -77*u**2 + 11*u**4 - 2*u**3 - 3*u + 3*u**2 - 3*u - 12*u**4 - 16*u**2 to the form z*u**3 + i + h*u**4 + y*u + w*u**2 and give w.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ooo when three letters picked without replacement from oooooooooo?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*z + 7 + 32. What is the derivative of 3*l**z - 19 + 35 + 2*l - 2*l wrt l?\nAnswer: 9*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 151\/15768 and 19\/21708?\nAnswer: 3169368","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes before 11:17 AM?\nAnswer: 6:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1820 and 8372?\nAnswer: 41860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k - 4*k**4 + 0*k)*(18 - 11 + 30 + 0 - 2 + 3 + (-3 + 4 - 2)*(-1 + 1 - 1))*(2*k - 3*k + 2*k).\nAnswer: -156*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 38*x + 12. Let z = 229 - 225. Calculate the remainder when n(z) is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 13*w**3 - w**2 - 9*w. Let s(h) be the second derivative of -3*h**5\/20 + h**3\/3 + h. Let j(c) = 18*s(c) + 4*t(c). Factor j(m).\nAnswer: -2*m**2*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w**3\/6 + 231430*w**2\/3 + 6015350*w\/3 - 12956440\/3 = 0. What is w?\nAnswer: -92546, -28, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 140144660 to the nearest integer?\nAnswer: 11838","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 410 and 50307.\nAnswer: 503070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -15 + 79?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 154415033 (base 6) to base 8\nAnswer: 14454135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 20 = 4*i, -14 = m - 0*m - 3*i. Let o(d) = -2*d - 3. Let p be o(-4). Suppose 2*b = p*b. Put b, 5, m in decreasing order.\nAnswer: 5, b, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**3 - 447*d**2 + 444*d + 892.\nAnswer: (d - 446)*(d - 2)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2.5, 1, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9288664 to the power of 1\/3, to the nearest integer?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 742571 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 31313310322 - 10?\nAnswer: 31313310312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -169476.5476 to the nearest one thousand.\nAnswer: -169000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 8+-44350618707\nAnswer: -44350618699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -1009.55 to the nearest 100.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 10*y + 1. Let l be d(2). Suppose 5*n + l = 1. Let w(s) be the first derivative of s**2\/2 + 5*s - 23. What is w(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4319 = 138*c - 32*c + 4531 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 0*c**2 - 2*c**2 + 3*c**2. Let p(o) = -34 + 1256*o**2 + 1263*o**2 - 2518*o**2. Give l(p(a)).\nAnswer: a**4 - 68*a**2 + 1156","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 16509905 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 11) to base 14\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = y + 35, -5*t + 2*y + 2*y + 52 = 0. Suppose -v - 3*v + t = 0. Is 9\/4 > v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24 - 53432\/504) + 14\/882?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 22203 - -103233001?\nAnswer: 103321210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -2*w + 3. Let b(z) = -z + 3. Let j be b(2). Suppose -j = p - a + 5, -12 = 2*p + a. Calculate f(p).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -3*x**2 + 122*x - 22*x**2 - 58*x - 64*x. Let v(l) = 11*l**2. What is v(t(p))?\nAnswer: 6875*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -1817*c**2 - 5*c. Let n(p) = 909*p**2 + 3*p. Give -3*d(t) - 5*n(t).\nAnswer: 906*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r = -17 + 42 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1342586 to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4.048, -1, 2\/17 in descending order.\nAnswer: 2\/17, -1, -4.048","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -107*f = -105*f - 3*c - 12, 4*f + c - 18 = 6 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -63\/100 and -85\/1442.\nAnswer: 72100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r + 0*r - r)*(-r + 0*r + 0*r) + 11*r**2 + 9*r**2 - 43*r**2 + (5*r - 21*r + 4*r)*(20 - 19 - 5*r + 2*r).\nAnswer: 15*r**2 - 12*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 4526*y**2 + 4882*y**2 + 3638*y**2 + 4464*y**2 - 1155*y**2 in the form r*y + v*y**2 + f and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = b + 6, -2*b - 3*b - 6 = 2*r. Suppose 1 + 3 = r*z. Suppose -i - z*i - l = -14, -2*l = 3*i - 16. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 231 = -7*l, -32*b + 165 = 5*l - 31*b. Solve 93*y - 82*y = -l for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 + 530?\nAnswer: 523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 164 and 49651.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -293*f**2 + 3*f + 43 - 3*f + 298*f**2 with respect to f.\nAnswer: 10*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 379133 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 56 - -83. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0\/(-2))\/(-31 - -32). Let j(o) = -3972*o + 6 + 3980*o + u*o**2 + o**2. Give j(-5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -11, 1\/4, -18\/11, 12, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1012.6 + -1141.6. Which is the third smallest value? (a) l (b) -4 (c) -2\/5 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 2*l - 10 = -42, -18582 + 18605 = -3*k + 7*l for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 337559?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 5 = 5*z - 2*r, -2*z + r = 2. Sort 4, -2, z, 2 in decreasing order.\nAnswer: 4, 2, z, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21, 30, 53, 96, 165?\nAnswer: 266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*h = 24*h - 3000. Calculate the common denominator of 1 - (-20)\/h*17\/8 and 131\/108.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1021*c + 1033*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/264 and 17\/72.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -2*l - 6. Let d(g) be the second derivative of g**5\/20 - 2*g**4\/3 + g**3 + g**2 - g. Let v be d(7). List the prime factors of n(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (297\/6930)\/((-84)\/140)\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3\/(-6))\/(1\/(-10)). Let d(i) = 2*i + 10. Let m be d(-6). Put m, a, 3 in decreasing order.\nAnswer: a, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xffx when four letters picked without replacement from fxfxfxxfkffffxfffxxx.\nAnswer: 154\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 51453.97 to the nearest one thousand.\nAnswer: 51000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -426 - 1a?\nAnswer: -444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*d**2 - 3284275*d - 19705830.\nAnswer: 5*(d - 656861)*(d + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -121023133331 (base 4) to base 15.\nAnswer: -8a5b6b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 11692600 rounded to the nearest 100000?\nAnswer: 11700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2*((-368)\/(-24))\/(4\/(-318)). What is the highest common factor of 106 and o?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 686589765 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = 5*c + 2*b, 5 = 109*c - 106*c - 4*b. Let d(w) = 10*w**2 + 5*w - 19. Let q(a) = 5*a**2 + 3*a - 10. Determine c*q(o) + 3*d(o).\nAnswer: 5*o**2 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -556 - -1678. Is k a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*f**2\/11 + 28*f\/11 - 2.\nAnswer: -2*(f - 1)*(3*f - 11)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -388, -373, -342, -289, -208, -93, 62, 263?\nAnswer: 516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 941000 rounded to the nearest 100000?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(78)\/(-1*sqrt(6)) + 5)*4.\nAnswer: 20 + 24*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -4 - (2\/(-3))\/(944\/5784). Do t and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 + -23 + 4 + -26?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/((2\/(-10))\/((-15)\/150)). Put -46, n, 1 in ascending order.\nAnswer: -46, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -33*c + 46. Let w be x(-24). Suppose w = 7*j - 1976. What are the prime factors of j?\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 2*z**2 + 5*z - 5. Let n = 5 + -10. What is the units digit of l(n)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-2 - 2 + 5)*(-4*p**2 + 4*p**2 - p**2) - 6*p**2 + 24 - 24)*(4*p**2 - 42*p**2 + 3*p**2) to the form w*p**2 + l + c*p**4 + j*p**3 + v*p and give c.\nAnswer: 245","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.93 less than -0.11?\nAnswer: -3.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dddsdsdazdds. Give prob of sequence sss.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 2970?\nAnswer: 2970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - u = -592, 2*v - 8*u = -12*u + 244. Is 11 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-40)\/104*(-192)\/240?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 5*g - 261. Is 3 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.4526417 nanograms?\nAnswer: 0.0000004526417","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, q: 1, a: 1}. What is prob of sequence fqa?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the second derivative of 4*b**4\/3 + b**3\/6 - 22*b. Let a be j(1). Let h = 20 - a. Solve 0 = h*z - 6 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22101.957 rounded to the nearest ten?\nAnswer: 22100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -400043120 (base 6) in base 9?\nAnswer: -13578053","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-10))\/(12\/(-24))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -4*k**2 + k**2 + 6*k**2. Let o(y) be the second derivative of y**5\/40 + y**3\/3 + 2*y. Let g(x) be the second derivative of o(x). Give v(g(c)).\nAnswer: 27*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dgdg when four letters picked without replacement from ddggdddd?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11269.\nAnswer: 59, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -511*z**3 - z**2 - 644?\nAnswer: -1533*z**2 - 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 5*r**3 + r**2 + 9*r + 1273. Let w(b) = -14*b**3 - 3*b**2 - 26*b - 3818. Let y(p) = -17*m(p) - 6*w(p). Is y(0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5344618 + -235.17.\nAnswer: -5344853.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 698, 682, 666, 650, 634?\n\"Answer: -16*k + 714","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 75 divided by 5.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -222 (base 8) to base 5.\nAnswer: -1041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 34591044?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1745 - -4189. Let t(x) = x**2 - 3*x + 3. Let w be t(4). Suppose -3*u = -w*u + a. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - -8. Let b(t) = 13 - 3*t**3 + 9*t + 2*t**3 - 2*t**3 + 4*t**3 + d*t**2. Let r be b(-6). Let z(o) = -o**3 - 4*o**2 + 5*o - 6. Determine z(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -112*r = -29*r + 51*r - 6700 for r.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hy when two letters picked without replacement from {o: 3, h: 1, y: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**3 + 7*q**2 + 2. Let x be i(-7). What is the greatest common factor of x and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3*(-1 + (-64)\/3). Let l = s + -35. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.076 + -0.076. Let n = 21 + -1. Let q = n - c. Sort 0, 2, q in increasing order.\nAnswer: 0, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2834, -22614, -76304, -180860, -353238, -610394?\nAnswer: -969284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, z: 2, p: 1, c: 2, l: 2}. What is prob of picking 1 o, 1 p, and 2 l?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/3)\/(2\/6). Let c = 5 - n. Solve 0 = c*a + 13 - 1 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(-36) + (-11)\/15?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are -3 and 17361738 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -251*p - 256*p - 366*p - 234*p**3 - 56*p**3 + 874*p.\nAnswer: -290*p**3 + p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 61*r + 3*r**3 + 21619 - 10804 - 10815 + 4*r**2 to the form n*r + f*r**2 + u*r**3 + i and give f.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16 + -16. Let m(d) = d**2 + 7*d + 8. What is the remainder when (z - -1) + (9 - 4) is divided by m(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0007604906 rounded to 5 dps?\nAnswer: -0.00076","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2, -4, 1\/3, -75, -2\/49?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 5705 (base 10) to base 13\nAnswer: 279b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2177, 4471, 7009, 9905, 13273, 17227?\nAnswer: 21881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*u = 56 + 403. Calculate the remainder when 104 is divided by u.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (-1 - -3 - 7) - 5 - 9.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -16463.502 rounded to the nearest ten?\nAnswer: -16460","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 39\/(-9) - -4 - (-8)\/(-30). Which is the nearest to -1\/3? (a) 0.5 (b) -5 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90*d**4 + 51*d**4 - 105*d**2 - 3*d**5 - 159*d**3 + 0*d**5 + 18*d**3 = 0.\nAnswer: -7, -5, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100111100 + 1?\nAnswer: 100111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 2 = 3*z. Suppose k + 30 = 3*g + 3*k, -z*k - 6 = 0. What is the common denominator of -9 + g + 46\/14 and -4\/5?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -304, -3, 22, 0 in increasing order.\nAnswer: -304, -3, 0, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 28, 16, -8, -50, -116, -212, -344?\nAnswer: -518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21885708?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -23 (b) 5 (c) 1\/3 (d) -0.4 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**2 - 3*w + 21. Let i be n(-6). Let d be 50\/4*(1677 + i). Round d to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 + 16*t**2 + 15*t - 10. Let k(j) = j**3 - 15*j**2 - 14*j + 9. Let p(o) = 3*k(o) + 2*u(o). Is p(14) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -459615*a*c*z - 16*a*z - 944*z - 3 wrt c?\nAnswer: -459615*a*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 62*h**3 - 7*h**2 + 3*h - 4. Let x(y) = -123*y**3 + 14*y**2 - 6*y + 7. Let i(z) = -5*a(z) - 3*x(z). Is i(3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -75*h + 46 + 29 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 101.8039 micrometers?\nAnswer: 0.01018039","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 11011, 21857, 32707, 43567, 54443, 65341, 76267?\n\"Answer: c**3 - 4*c**2 + 10851*c + 163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 140620637.\nAnswer: 5839, 24083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-3 + (-4)\/(-2))*-7 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17050?\nAnswer: 2, 5, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2613, -2852, -3089, -3324?\nAnswer: -3557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22 and 66.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 102 in 22, 3, 0.1?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-14))\/((-9)\/9).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a + 5*v + 41, -5*a + 2*v = -2*v - 268. Let o = 40 + -14. Let s = a + o. What is the tens digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(-6) + (3 - (0 - -4))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g + 32 + 6. Suppose 7*z = 11*z - 52. Let x(t) = t**3 - 11*t**2 - 15*t + 8. What is the remainder when x(z) is divided by g?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*w**4 - 1096*w**3 + 69*w**2 + 109706*w - 2 wrt w?\nAnswer: -24*w**2 - 6576*w + 138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (12*a + 23 - 40 + 16)*(-5 - 5 - 8) as r*a + m and give m.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75 = s - 85*x + 120*x, 3*s - 5*x + 5 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 - 8 - (-6 - -12119). What is j rounded to the nearest one thousand?\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 47 + -6. Suppose 5*d + 2*i = r, 2*d - 44 = -2*d + 4*i. Let s be ((-546)\/(-26))\/(1\/12*4). Calculate the highest common factor of d and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -27 - -148. What is the lowest common multiple of u and 77?\nAnswer: 847","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -7*w**5 + 3*w**2 + 7*w - 3. Let m(z) = z**5 - z**2 + 1. Let g(u) = -3*m(u) - r(u). What is the second derivative of g(a) wrt a?\nAnswer: 80*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 207247, 207306, 207403, 207532, 207687, 207862, 208051, 208248?\nAnswer: 208447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 5*k + b + 14, 2*k + 2*b = 0. Let t be (1\/k + 2)\/(5\/(-40)). Let g = 32 + t. Solve -2*s - g = 2*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1680\/(-1050))\/(-2 + (-18)\/(-10))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 + 0. Let u = -95 - -109. Let h = z - u. Let x(g) = -g**3 - 3*g**2 + 4. What is x(h)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*v + 11*v - 2*v**2 + 17*v - 51*v - 6*v**2.\nAnswer: -8*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 490179196?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 3 r when four letters picked without replacement from {i: 2, f: 3, r: 3}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 5*c - 23. Let n be d(5). What is the hundreds digit of (334 - -18)*2\/(n*2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 - -6.97. Let a = c + 11.03. Let l = a + -11.06. Which is smaller: l or 1\/3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 338c - -48?\nAnswer: 3407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9 + 14. Let j(h) = h**2 - 2*h - 3. Let m be j(c). What is the highest common divisor of m and 96?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 - 2201?\nAnswer: -2154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 7, d: 1, n: 11}. Give prob of picking 4 n.\nAnswer: 55\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 40*-0.0059721\nAnswer: -0.238884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 112260643 (base 7) to base 9.\nAnswer: 13833531","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**2 - 12*l - 24. Let h be u(14). Solve -4 = -h*r, -7*f + r = -2*f - 4 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.23 - -1.23. Let i be (-54)\/(-21) - (-20)\/(-35). Which is the nearest to p? (a) i (b) 3\/5 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-588)\/140)\/(-7) + 21\/15. Factor -16\/5*h - 1\/5*h**3 + 12\/5 + 7\/5*h**p.\nAnswer: -(h - 3)*(h - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 1 + 4)*(2*k - 1 + 1) + 3*k - 6*k + 2*k)*(-1 + 4 - 1)*(3 - 3 + k**4).\nAnswer: 2*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 + -1. Suppose -g = -4*r + 3*r. Suppose -2*x = -r, -4*k + 0*x = -4*x - 1396. What is k rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 4 = 2*n, -17*n + 13*n + 6 = -x. Solve -2*g - 2*w = -6, -3*w + x = -9*g + 7*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -6831, -1\/6, 1, -24\/11?\nAnswer: -6831","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 31957 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 14639*r**2 - 250*r - 54420. Let q(j) = 2440*j**2 - 40*j - 9070. Let t(x) = 4*g(x) - 25*q(x). Find the first derivative of t(c) wrt c.\nAnswer: -4888*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1054.1272 - -1047.9. Round i to 1 decimal place.\nAnswer: -6.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, -1\/5, -0.07?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the third derivative of m**8\/672 + 3*m**7\/140 + 29*m**6\/240 + 13*m**5\/40 + 3*m**4\/8 - 43*m**2. Let b(g) = 0. Calculate g.\nAnswer: -3, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**3\/5 + 24*t**2\/5 - 14*t + 48\/5.\nAnswer: -2*(t - 8)*(t - 3)*(t - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -2\/5, 1, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**2 - 7*v - 8. Let p be k(-7). Let y(z) = z**3 + 8*z**2 - 2*z - 10. Let t be y(p). Let w = 9 + -4. Solve -w*m - 4 - t = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-4)\/3)\/((-12)\/18). Suppose 3*o - 24 = -c*a + 35, 0 = -4*o - 4*a + 80. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 2*n + 19 = 5*k, -9 = -5*n + 3*k. Let l = -5 + n. What is the biggest value in 5, l, -2\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + b + 3573 = -10377, j = -4*b + 2769. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h - 262. Determine f(-48).\nAnswer: -214","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 852040219 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -408 + 1030. What is the remainder when p is divided by 104?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 1\/4*r**3 - 1\/2*r**2 + 1\/4*r + 0 = 0. What is r?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 126ab8 (base 14) in base 10?\nAnswer: 633242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = o + 3, -5*o + 8 + 17 = -5*p. Suppose -o - 5 = -y - 2*s, -s + 40 = 2*y. Suppose 2*f - 5*h = 3*f - 22, -3*h = f - y. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, 98, -8.\nAnswer: -8, 3, 4, 98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 142293, 142291, 142287, 142281, 142273, 142263, 142251?\nAnswer: 142237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -744223 (base 8) to base 5\nAnswer: -30413310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0048 rounded to 2 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((sqrt(1300) - sqrt(1300)*-3*-4) + sqrt(1300) + -2*sqrt(1300)*5)*-4)**2.\nAnswer: 8320000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 4, q: 2}. What is prob of sequence qrr?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2725*u**2 - 1358*u**2 - 1365*u**2.\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.4 + -5. Let p = 0.2 + g. Let i = -0.6 - -0.5. What is the nearest to i in p, -1, 2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 117042 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g**7*g**4*(g\/(g**(2\/7)*g))**17 assuming g is positive.\nAnswer: g**(50\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*t**3 + 64*t - 1 + 1.\nAnswer: 3*t**3 + 64*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 507 + -299. Suppose 7*n - 20*n = -d. Calculate the remainder when 30 is divided by n + 4 - (2 + 2).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 39*y**5 + 11*y**4 - 12019*y**3 + 126624840*y**2 wrt y.\nAnswer: 2340*y**2 + 264*y - 72114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 526 - 530. What is the closest to -54 in -2, 2\/13, -0.5, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*y + 4*h + 6 = 25*y, h = -2*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 - 1 + 3)*(w + 3 - 3) - 1 + w + 1 + 10)*(3 - 3*w - 4*w - 1).\nAnswer: 7*w**2 - 72*w + 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 7\/62926?\nAnswer: 7\/62926","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-1)\/((0 + 1)\/(2 - 41)) is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.07 * 675.\nAnswer: -47.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1*(-4)\/((-12)\/15). Suppose -b = k - 16. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**2 - 4*t + 4. Let x be q(4). Find the first derivative of -10 + 11 - i**4 - 2*i**x wrt i.\nAnswer: -12*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*c + 2295 = -15*c. List the prime factors of c.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/4*(-38)\/38703*-14. Which is the biggest value? (a) -0.2 (b) 5 (c) i (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -10*x - 39. Let m = -77 - -138. Calculate the remainder when m is divided by y(-6).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the third derivative of 1\/30*j**7 - 1\/140*j**8 + 1\/50*j**5 + 1\/30*j**4 + 0*j - 1\/30*j**3 - 4\/75*j**6 + 0 + 6*j**2. Determine p, given that v(p) = 0.\nAnswer: -1\/3, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4 - (-230)\/55)\/(5\/545). Let k = 1094\/55 - g. Is -1 greater than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -41.66 - -41.16. Let x = 3.04 - 0.04. Which is the nearest to -0.1? (a) 5 (b) s (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3930?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -13588706.1 to the nearest one million.\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 97 + 10*t - 32 - 8*t + (-1 + 3 - 3)*(-3*t + 2*t + 0*t) + 3*t - 3*t - 2*t + t - t - 2*t to r + c*t and give r.\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 88629\/10 + -2 - (-12)\/120?\nAnswer: 8861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**3\/3 - 74*i**2\/3 - 55001*i\/3 + 18358.\nAnswer: (i - 274)*(i - 1)*(i + 201)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7.9 - 0.9. Let t = 7.003 - f. Round t to two decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -815, -1703, -2591, -3479, -4367?\n\"Answer: -888*w + 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1197 + 13697 = 50*k. Calculate the remainder when 4747 is divided by k.\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5784 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -q - 4*q. Suppose -q*l + 14 = -0*z - 4*z, z + 11 = 2*l. Find the second derivative of -5 - l*p + 3 + 2 + 4*p**3 wrt p.\nAnswer: 24*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 9c43b + -204?\nAnswer: 9c237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47858 is divided by 1227.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11 - 11) + -15 - -27.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -162*h + 9 - 9 + 159*h.\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000025463 to seven dps.\nAnswer: 0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 + -1. Suppose -r*s - s = -15. Suppose 0 = s*a - 15 - 25. Calculate the remainder when a is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 72 and 0.5?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y when three letters picked without replacement from yykkkyypyykyk.\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((sqrt(32)\/sqrt(4))**2 - -3*sqrt(50)) + (sqrt(8) + -2*sqrt(32)\/sqrt(4))\/(sqrt(16)\/sqrt(4)*4))*-4.\nAnswer: -59*sqrt(2) - 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 - 48 = -3*v for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4783?\nAnswer: 4783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 426120 and 201?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, w: 2}. Give prob of picking 2 w.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((6\/(-2))\/(-3))\/(37\/740*-2)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - 27\/(-8))\/((-18)\/(-12)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5740 is divided by 174.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -395049537*c**6*x + 48*c**2*x - 3*c*x - 32*c + 38379*x wrt c?\nAnswer: -47405944440*c**3*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most as big as -1\/11901726?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 5173, 4909, 4645, 4381?\n\"Answer: -264*w + 5437","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes before 9:48 PM?\nAnswer: 10:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(100\/84)*((-1125)\/5)\/(-15)?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11 - -5. Suppose -a = 4*x, -5*x + 16 = -b - b. Is 36 a factor of 9\/b + (2 - 171\/(-2))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 = -5*u - 2*c, -4 + 24 = 4*c. Suppose 0*y - y = 2*l - 13, 3*l - u = 0. Suppose -k = -2*k + y*h + 157, -5*k - 5*h + 845 = 0. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1962, 2490, 3364, 4584, 6150, 8062?\nAnswer: 10320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*s**2 + 304*s + 1152.\nAnswer: 4*(s + 4)*(s + 72)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 f when two letters picked without replacement from awdvwwvtwatffaa?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/9, 4, -2\/27, 5\/63, 23?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5537\/15 or -370?\nAnswer: -5537\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-53)\/954 - 21166\/(-171)*(-2)\/8?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:22 AM and 5:17 PM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 16, 2, 0.1, 1\/33, 3\/2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 158*g**2 + 72*g - 142*g + 70*g.\nAnswer: 158*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1218 is divided by 600?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v = 3*o + 4*v - 51, -4*v + 16 = 3*o. What is the remainder when o is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.0171 - 3.0171. Sort 2\/3, -2\/7, 0.4, x.\nAnswer: x, -2\/7, 0.4, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and -0.3?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 30.038 - 0.038. Let j = 30.1 - y. Let p = -0.2 + 0.6. What is the nearest to j in 0.5, 5, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40160 greater than or equal to 39907?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 3435 = 2*t. Does 77 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the second derivative of -d**4\/12 + 11*d**3\/6 - 3*d**2\/2 - 5*d + 12. What is w(3)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 34.1405 + 0.1795. Let j = y + -262.22. Let k = 218 + j. Round k to the nearest integer.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.161980456 and -4.\nAnswer: -0.647921824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -40 - -65. Let i = k - -43. Suppose -3*m + 13 = -i. List the prime factors of m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:43 AM and 4:47 PM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the third derivative of g**5\/90 - 43*g**4\/36 - 52*g**3 - 200*g**2 - 11*g. Factor v(j).\nAnswer: 2*(j - 52)*(j + 9)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.9, 3289, 3?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - q + 1 = 3*g, 2*g = -5*q + 23. Let c = g - -1. Suppose c = 5*y + 32 - 277. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a millennium in months?\nAnswer: 42000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 980 - 980 + 94*m.\nAnswer: 94*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1272821 is divided by 176.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7919 + 7952. What is the remainder when 13428 is divided by o?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 965 + -1929\/2. Solve 3\/2*h - 2*h**2 + a = 0 for h.\nAnswer: -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -23608, -23609, -23610, -23611, -23612, -23613?\n\"Answer: -x - 23607","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/846 and -6\/113.\nAnswer: 95598","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 12*l + 269. Let n be p(-23). Is (1559\/(-3))\/(n*(-12)\/(-252)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -5*u + 10, 2 = -57*u + 58*u + d. Let t = -1 + 1. Put u, 1, t, -7 in decreasing order.\nAnswer: u, 1, t, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 3\/8, -5 in decreasing order.\nAnswer: 7, 3\/8, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 432134 - -31?\nAnswer: 432205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 135 and 198595?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*q - 2 - 1 - 8*q + (-1 + 3 - 1)*(q + 2 - 2).\nAnswer: 2*q - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -29 + 15. Let x be (h\/4 + 3)*-14. Solve -5 - x = 3*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmgfmgjnjjmgm. What is prob of picking 1 j and 1 m?\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(363)*-1)**2 + (sqrt(3) + 1)*-6 - sqrt(36)\/(3*(sqrt(12) + 2*sqrt(12) + sqrt(12))).\nAnswer: -73*sqrt(3)\/12 + 357","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 1303 - 1197 = 0. What are the prime factors of t?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-22*o**2 - 1390096*o + 1390091*o - 449*o**2)*(1 - 6 + 3) to m*o + z + n*o**2 and give m.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15898188.\nAnswer: 2, 3, 1324849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**2 - 2*t. Let c be s(-3). Let m be 40\/(-30) - 1\/c. Do m and -1 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 656 divide 1971602?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i + 25 + 7. Let k = i + 12. Solve -6*y = -5*y, 4*v - k*y = -12 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 536 - 532 = -2*w. Let o(b) = -3 - 4*b + 2*b**2 - 2*b**2 - b**3 - 3*b**2. Give o(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -63460000 to the nearest one million.\nAnswer: -63000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.1 + -0.1. Let p = 1.9 - 23.9. Let i = -21 - p. Which is greater: i or a?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(3 + 2*sqrt(63) + -5)**2 - ((-2*sqrt(126)*-2 - sqrt(126) - sqrt(126)) + sqrt(126))\/((sqrt(8) + -2*sqrt(8))\/sqrt(4)).\nAnswer: -512 + 57*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -10183 minus 1289?\nAnswer: -11472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 236*h = 211*h + 90, -s - 3*h + 12 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + 10 = 0, -3*f + 229 + 37 = -17*j + 7*j for j.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 76.739 rounded to the nearest ten?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -38 + 75. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 7 = 4*d + 5*a, 0 = -4*d - 2*a. Let n = 3 + d. Let c = 4 - n. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 21585460*g**4 + 3*g**2 - 1804182*g?\nAnswer: 518051040*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -2\/13, 0.5, -209, 3 in increasing order.\nAnswer: -209, -2, -2\/13, 0.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-15)\/(-2))\/((-51)\/(-68)). Suppose 10 + p = 5*j. What is the smallest common multiple of j and 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(3\/8)*(x*x**(-2\/9))\/x*(x*x**1)**(-5\/2))**(4\/9) assuming x is positive.\nAnswer: x**(-331\/162)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the first derivative of 7*v**2\/2 - 5*v - 7. Find the first derivative of k(o) wrt o.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 28*z**2 - 606*z - 91. Calculate b(22).\nAnswer: 129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 42 + -41. Let c = -756 + 761. Sort -4, -0.4, c, u in descending order.\nAnswer: c, u, -0.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 + 1 = -3*h. Let a = 1 + 2. Suppose p - a*p = -h. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 55425995?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**2 - p. Let l(x) = -3*x**2 + 8*x + 4. Suppose 3*w + 5 = -2*b, 2*b - 5*w + 1 + 12 = 0. Let v(q) = b*s(q) - l(q). Factor v(z).\nAnswer: -(z + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 397855 to the nearest integer?\nAnswer: 631","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 319503?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 4*q = 76, -3*q + 2*q = -2*a - 23. Let l = a + 33. List the prime factors of l.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2287 divided by -34.\nAnswer: -2287\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0.7, -6, -3 in decreasing order.\nAnswer: 5, 0.7, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the first derivative of 5\/3*g**3 + 15\/2*g**2 + 162 - 20*g. Solve m(v) = 0 for v.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 856*p**2 + p. Let f be v(-1). Suppose 4*b - 2*d + 1131 + 23 = 0, 2*d = -3*b - f. Is (-2)\/(-6) - b\/21 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/380 and 83\/40?\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65 = -4*x + 5*h - 5, -4*h - 15 = -x. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 145.816 minus 50?\nAnswer: 95.816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:21 AM and 4:09 AM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74*a + 99*a = 4 - 4. Let i(k) be the first derivative of 8\/7*k**2 - 4\/3*k**3 + 15 + a*k. Find u such that i(u) = 0.\nAnswer: 0, 4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**3 - 27*d**2 + 193*d - 60. Let g be c(-33). Let j = 0 - -1. Suppose -v + 14 + j = 0. Calculate the highest common factor of g and v.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 33.72073g?\nAnswer: 33720.73","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1722 - 1727. Let o = -0.1 + 0.1. Which is the second biggest value? (a) k (b) o (c) 3 (d) -2\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**2 - 10*n + 19. Determine z(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7256 + 657 + 4741 = 19*u - 352*u for u.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**2 + 4*k - 17. Let m be u(-7). Solve -3*c + 3*q - 12 = 0, -m*c + 2*q - 4 = 8 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 1 + 4 = 0. Suppose w*k - 35 - 35 = 0. What is the remainder when k is divided by 2\/(-4)*-4 + 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -d**2 - 10*d - 17*d - 8*d + 1015 - 940 in the form m*d + c*d**2 + t and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((6*(sqrt(19) + -1) - (sqrt(2736) + -1)) + (sqrt(95)\/(sqrt(10)\/sqrt(2)) - sqrt(76)\/sqrt(4)*6) + 5)*2)**2.\nAnswer: 9196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*s**3\/11 + 86*s**2\/11 + 298*s\/11 + 90\/11.\nAnswer: 2*(s + 5)*(s + 9)*(3*s + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**2 + 6*s - 1. Let c be q(4). Suppose 3*m - c*m = -12. Let i = -28 + 23. Put m, 4, i in ascending order.\nAnswer: i, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 285 times 4\nAnswer: 1140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -595857*m**4 - m**3 + 2203283*m**2 wrt m.\nAnswer: -14300568*m - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - (-3 + 21 + 1).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**3 + 57*c**2 - 181*c - 61. Let z be m(-60). Suppose -5*x = -465 - 90. What is the second smallest value in z, x, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/146982 and -37\/50259198.\nAnswer: 854406366","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:58 AM and 1:47 AM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -72, 289, 792, 1509, 2512, 3873, 5664, 7957?\n\"Answer: 12*x**3 - x**2 + 280*x - 363","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2*v - 3)*(v + 9*v - 2*v) - 198 + 108 + 97 + 6*v**2.\nAnswer: 22*v**2 + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 + 23 = 4*y. Suppose 4*g = 4*l - 8, 3*l + 2*g = -y*g - 10. Suppose l = 6*a - 21 - 15. Solve -3*t = -4*j + j - a, -6 = j - 2*t for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**4\/5 - 6*b**3\/5 + 3*b**2\/5 + 6*b\/5.\nAnswer: -3*b*(b - 1)*(b + 1)*(b + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (2*(5 + -3*((1 + sqrt(2448) - sqrt(2448)) + -5)))**2.\nAnswer: 1152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6218928.\nAnswer: 2, 3, 19, 2273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -7*l + 2. Let f(y) = -6*y - 12. Let j be f(-4). Let g(p) = 36*p - j + 8 - 6. Determine -3*g(a) - 16*v(a).\nAnswer: 4*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*b**3 + 0*b**3 + 2985177*b**4 - 2996254*b**4 + (-b**2 - b**2 + b**2)*(-2*b**2 + 3*b - 3*b).\nAnswer: -11075*b**4 - 2*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -7580007, -7580013, -7580023, -7580037?\n\"Answer: -2*z**2 - 7580005","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 6\/5 (b) -8\/7 (c) -3 (d) -7961 (e) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -111754885*q**4 - 105857870?\nAnswer: -447019540*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 22991410, 22991380, 22991350, 22991320, 22991290, 22991260?\n\"Answer: -30*h + 22991440","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 208*d**2 - 20510*d wrt d?\nAnswer: 416","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 42 - 83. Let h = -100 + 101.3. Let t = h + -3.3. What is the fourth biggest value in -1, 0.5, j, t?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2737?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = k - 9, 0 = -0*k + k + c + 3. Suppose -x + 101 + 10 = k. Suppose 5*s = 2*s - 3*f + x, -3*f + 45 = s. Does 7 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 594 and 729.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, -0.3, -0.037?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 99 - 97. Suppose -35 = -5*n + y*x, 0*x + 30 = n - 5*x. Suppose 2*w + 4 = 3*w. Solve n*m + 4 + 13 = -2*a, w*m = -5*a for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 135 - 50. Calculate the remainder when 282 is divided by (-194)\/(-10) - 34\/b.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 7*f**3 + f**2 + f. Let w(u) = 4*u**3 + u**2 + u. Let b = 3 + -6. Give b*o(h) + 5*w(h).\nAnswer: -h**3 + 2*h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 12557858 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**3 + 11*x**2 - 11*x - 3. Let c be i(9). Suppose c = 6*k - k. Is 4 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 80 + (-4 - ((-14 - 15) + 31))?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -711*o**3 - 2*o + 1195*o**3 - 476*o**3 + 12*o**2 as g*o**3 + b + q*o**2 + l*o and give g.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 2*n - 2, -3*n + y + 1 + 4 = 0. Let s(b) = 2*b**n - b**2 + b**2. Let w(x) = 5*x. Let o(j) = -6*j. Let q(t) = -3*o(t) - 4*w(t). What is s(q(d))?\nAnswer: 8*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0036727 to 3 decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*q**2\/5 + 250832*q\/5 - 9032544\/5 = 0. What is q?\nAnswer: -125452, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 64\/(-20)*((-18)\/4 + 2). Let w be 198\/88 + 6\/i. Solve w*o + 0 - 9 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 334507?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-1\/22)*d**9\/d*(d*d*d\/d**(-18)*d*d)\/((d\/d**10)\/d) assuming d is positive.\nAnswer: d**(901\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((29 + 18 - 126)*(-2 - 1 + 1)*(4 - 5*d - 4) + 4 + 6*d - 4)*(-3*d + 0*d + d - 3*d - 2*d + 3*d + (-2*d + 2*d - d)*(-1 - 3 + 5)).\nAnswer: 3920*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 432*f + 2 + 436*f - 886*f.\nAnswer: -18*f + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -2*b**2. Let c(x) = 3 - 5 + 33*x - 3. Let o(d) = -16*d + 3. Let h be (-4)\/(12\/45)*7\/(-21). Let l(n) = h*o(n) + 3*c(n). Calculate r(l(u)).\nAnswer: -722*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 - 1 - (-68 + 158 + -60)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-50)\/(-3))\/((-8)\/(-60)). Suppose 2*m - 6*m = 3*r - 500, -4*r = -m + p. What are the prime factors of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/57734760 and 58\/35.\nAnswer: 404143320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -377, -347, -303, -251, -197, -147, -107, -83?\n\"Answer: -w**3 + 13*w**2 - 2*w - 387","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 take away -52?\nAnswer: 557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 543 = -699*q - 188 - 667 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 5 + 3)*(946 + 172*v - 946)*(0 + 3*v**3 + 0)*(2 + 4 + 0).\nAnswer: -6192*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f**3 - 9*f**3 + 2*f**3)*(-3 + 1 + 1) + 8*f**3 + 6*f**3 + 7*f**3.\nAnswer: 30*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -29390 + 29390.14. What is the fifth smallest value in -0.1, 0.3, -3, 13, b?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -237998 - 251002. Round c to the nearest 10000.\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes before 3:17 PM?\nAnswer: 9:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -10588, -21103, -31556, -41947?\n\"Answer: 31*z**2 - 10608*z - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, n: 4, f: 11}. Give prob of picking 1 n and 1 f.\nAnswer: 44\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 16 = 0, 24 = 5*n - 3*g - 58. Suppose -2*j + 22 = -j. Suppose 3*b - 184 = -j. What is the remainder when b is divided by n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 336800021334 - -525?\nAnswer: 336800021859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -e4 (base 15) to base 6.\nAnswer: -554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(((-225)\/(-81))\/25)\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1982191 - -13687?\nAnswer: -1968504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of p**4 + 1966*p + 1263 wrt p?\nAnswer: 4*p**3 + 1966","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**2 - 5*u + 10. What is the remainder when 11 is divided by a(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2\/(-4))\/(4\/(-448000)). What is g rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -107*k + 110*k = 81. Suppose -18 = -5*l + k. Solve -6*z + l = -3*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-22)\/99*-171)\/2?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/(-308))\/(2124\/1888).\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q + 3. Let o be k(-3). Suppose -2*i + o*i + 8 = 2*s, -2*i = -2*s - 20. Let t = -1 + i. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 9*d - 44. Let o be h(5). Sort o, 103, 3 in descending order.\nAnswer: 103, 3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 4*t. Let m(l) = -46*l**2. What is m(j(c))?\nAnswer: -736*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -131\/42 and -133\/12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 + 12 - (-2 + 1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 116 - 112. Let z be h*-1 - (-1 - 371\/28). Which is bigger: z or 9?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 10\/3 of a year?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in one quarter of a microsecond?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-220)\/(-45))\/((-90)\/(-405)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 54852024?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q**0*q*q)*q*q)**(-3)*q**(-2)\/q*q\/q**(-3\/4))**2 assuming q is positive.\nAnswer: q**(-17\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:15 PM and 8:43 AM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f = 1 + 3 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:09 PM and 2:49 AM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 3*l**3 - l**2 + l - 1. Let r(w) = 19*w**3 - 8*w**2 + 2*w - 3. What is 2*b(u) - r(u)?\nAnswer: -13*u**3 + 6*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*v - h - 5, -5*v + 4*h = -25. Which is the third smallest value? (a) v (b) 2 (c) -0.1 (d) -0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the second derivative of z**7\/42 - 16*z**6\/15 + 29*z**3\/3 - 32*z. What is the second derivative of b(h) wrt h?\nAnswer: 20*h**3 - 384*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 204 = 11*u - 23*u. Calculate the common denominator of 68\/3 and u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) -1\/4 (c) 0.1 (d) 4\/9 (e) -5\/14 (f) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 3156, 6596, 10040, 13488?\n\"Answer: 2*w**2 + 3434*w - 280","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - x = 2713, -7*a + 6*a + 547 = 2*x. What is the remainder when a is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101100 - 1000001000111?\nAnswer: -1000000011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q + q + q)*(-q - 2*q + 5*q) + (0 - 1 + 0)*(-q**2 + 4*q**2 + 0*q**2) + (4*q + q - 3*q)*(3*q - 4*q + 0*q) + 6 - 6 + 4*q**2.\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 10289*c + 1952. Let i(w) = -41136*w - 7815. Let x(a) = -4*i(a) - 15*q(a). What is the first derivative of x(d) wrt d?\nAnswer: 10209","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -6*t - 18. Let h be o(-3). Suppose -11*u + 3*u + 168 = h. Is u a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 164*a - 454*a - 13050 for a.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 2520579*a - 2 + 1 - 4.\nAnswer: -2520579*a + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 835 is divided by 219?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7831.917 kilograms to milligrams.\nAnswer: 7831917000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 452 = 4*c, -3*l = 4*c - 5*l - 452. Suppose 2*k - 1 = c. Calculate the remainder when k is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the second derivative of -j**2\/2 + 5*j + 3. Let r(a) = 3*a + 3. Let o(v) = r(v) + 3*x(v). Let w(f) = -21*f**2. Determine w(o(i)).\nAnswer: -189*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 64 to the power of 1\/5, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1462104 is divided by 191.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/y**(3\/2))\/y*y**(-1\/10))\/(y**(-5)\/y**(-2\/19)))\/(((y*y\/((y**(-1)*y)\/y)*y)\/y)**(-35)*y**(1\/4)\/(y\/y**(-5))) assuming y is positive.\nAnswer: y**(43337\/380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 941.7912 centuries?\nAnswer: 94179.12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 16*q + 5. What is the remainder when 1109 is divided by p(1)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37360829 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 14*i)*(0 + 3 + 0).\nAnswer: 42*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a = 2*a + u - 15, 0 = -4*a + 2*u - 6 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 196901, 788256, 1773851, 3153686, 4927761, 7096076, 9658631?\n\"Answer: 197120*d**2 - 5*d - 214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**2\/5 - 1714*v\/5 + 734449\/5.\nAnswer: (v - 857)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -445530, -891071, -1336620, -1782177?\n\"Answer: -4*u**2 - 445529*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**6\/(d\/d**(-3)))\/(d**(-1\/5))**(2\/27))\/((d**(-1))**(-1\/28)\/(d*d\/d**2)**(-48)) assuming d is positive.\nAnswer: d**(7481\/3780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -398163 (base 14) in base 16?\nAnswer: -1e3c0b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 45\/266 and -5 - (-305)\/(-300)*5.\nAnswer: 1596","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.3 - -0.14. Let j = t - 0.04. Which is the closest to 2\/3? (a) j (b) -3 (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 14 + 3*l**3 + 3 - 13*l + 4*l**3 - l**3 - 5*l**3 + 13*l**2. Determine p(-14).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 37 - (25 - (7 + 37)) - -40?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 4*c + 88 = 5*k, 5*c = k - 4. List the prime factors of k.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36348310 is divided by 57?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1390030 divided by 6070\nAnswer: -229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (4 + 9)*(-20190)\/(-30)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*h + m = -12*h + 2668, -m - 3997 = -3*h. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.126 - 0.526. What is the nearest to 1\/4 in 0, g, -10?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 27 and 153.\nAnswer: 459","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.619948 - -1.6476. Round l to 3 decimal places.\nAnswer: 0.028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.76 + 0.06. Let c = -0.8 - a. Let u = 0.3 - c. What is the closest to 0.1 in u, -0.5, 3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y\/y**(-2\/37)*(y\/(y*y**(1\/10)))\/y*y)\/(y\/(y*y\/(y*y**(1\/5)*y*y))*y)**9)**30 assuming y is positive.\nAnswer: y**(-29799\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**3 - 12*w**2 + 20*w - 11. Is o(-14) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 49*l - 13*l + 216. Calculate the common denominator of 1\/22 and (-5 - 27\/l)\/((-11)\/37).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 14*t**4 - 9*t**4 + 4*t**3 + 2*t**4 + (3 - 3 + 2*t**2)*(2 - t**2 - 2) - 12*t**4 + 3*t - 3*t.\nAnswer: -7*t**4 + 4*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3249, -3292, -3359, -3462, -3613?\nAnswer: -3824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 = 3*k - 8*k. Let p = 7 + -4. Calculate the highest common factor of k and p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -2\/1733?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4161.9 + 4162. Which is the closest to g? (a) 0.1 (b) -5 (c) 3 (d) -783\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/82150 and -61\/49290?\nAnswer: 246450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 633592, 633591, 633588, 633583?\n\"Answer: -j**2 + 2*j + 633591","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1226326 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -185481 in 0.1, -2\/5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 4102?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b**(-1\/4)\/b))**4\/(b**(2\/29)*b*b**(-1)) assuming b is positive.\nAnswer: b**(259\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-200)\/(-800))\/((-15)\/(-2700))\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 149\/6 and 113\/15616944.\nAnswer: 15616944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 144*f**3 - 244*f**3 + f**4 - 500*f**2 - 6*f**4.\nAnswer: -5*f**2*(f + 10)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (-1 - 5) + 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1200) + -5 + (sqrt(3)*1 + -2 - sqrt(3)) + sqrt(9)\/sqrt(3)*3)**2*3*-4.\nAnswer: -19632 + 3864*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, u: 1, o: 1, n: 1, s: 1}. What is prob of picking 1 n and 1 u?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*w = -10*w - 183*w + 1617. Suppose -7*t = -3*t - 20. Solve -13 = 2*h + 5*r, -t*h + 3*h - 3*r - w = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n + 4*s - 46, 8 = -n + 5*s - 2. Suppose -13*o = -18*o - n. Is 20 a factor of -53*o*(-1)\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the second derivative of -1\/2*f**2 + 0*f**4 + 0*f**5 - 43\/6*f**3 + 2*f + 0*f**6 - 31\/42*f**7 + 29. What is the second derivative of r(y) wrt y?\nAnswer: -620*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.18 - -10.82. Let k = x + -10.9. Let y be (-5)\/140 - (-1)\/(-4). What is the nearest to k in y, -5, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 15\/(-60) + 61*(-1)\/(-4). What is the units digit of 2432\/v - (120\/(-225))\/(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes before 9:03 PM?\nAnswer: 2:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -32 - -58. What is the lowest common multiple of n and 24?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**3 + 15*c**2 - 16*c + 14. What is p(-16)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 2112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(2\/21))**48*(k**0\/k)**(3\/4) assuming k is positive.\nAnswer: k**(1195\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m - 28 = 2. Suppose -c = 3, m*t = 2*t + c + 24. Suppose v = 5*r + 17, 7*v + 5*r + t = 3*v. Solve 0 = -0*s + v*s - 10 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the first derivative of j**3\/3 + 3*j**2\/2 + j - 11. Let s(q) = -q. What is 6*s(l) + 2*t(l)?\nAnswer: 2*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2662.186l to millilitres.\nAnswer: 2662186","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -6*i**2 - 3*i + 6. Let c(q) = -11*q**2 - 5*q + 11. Suppose -25 = -6*p + p + t, 0 = 2*p + 5*t + 17. Determine p*c(x) - 7*n(x).\nAnswer: -2*x**2 + x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4251218 or -4251216?\nAnswer: -4251218","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 (base 12) in base 16?\nAnswer: 4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes before 12:50 AM?\nAnswer: 7:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*c**5 - 26*c**2 - c**3 + 53*c**2 - 24*c**2 + (c**5 + 0 + 0)*(-3 + 3 + 1).\nAnswer: -2*c**5 - c**3 + 3*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (-9 + -10 - -2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 2*n**3 + 6*n**2 - 5*n + 7. Let g be b(-9). What is g rounded to the nearest 100?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1099, -1118, -1137, -1156?\n\"Answer: -19*v - 1080","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**2 - 12*u - 4. Let k = -7 - 3. What is the units digit of z(k)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 78 - 433 = 0. Let w = 57 - y. Let g = w - -63. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.3, -4, 0.5, 5\/6?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 0 + 0)*(2*r + 2*r - r) + 8*r - 11 + 11)*(-9 + 4 - 14 + (-6 + 0 + 5)*(2 + 1 - 1) + 2 - 3 + 3 + 1 + 3 - 3).\nAnswer: -198*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + 8. Suppose 5*a = -5*z - 0 + 15, -2*z + a = -6. Solve -z*p - 15 = -y*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 450769369 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -9*h**3 - 7*h**2 - 5*h + 4. Let o(d) = -114*d + 1143. Let q be o(10). Let l(g) = -4*g**3 - 3*g**2 - 2*g + 2. Determine q*k(r) - 7*l(r).\nAnswer: r**3 - r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -123 - -238. Let g(c) = -55*c**2. Let y be g(1). Let i = p + y. Calculate the highest common factor of 24 and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes before 10:05 PM?\nAnswer: 5:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 327371, 654744, 982117, 1309490, 1636863?\n\"Answer: 327373*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9*h**2 + 193*h**2 + 114*h**2 - 19*h**2 + 2279*h wrt h?\nAnswer: 558","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(13\/7)\/(l\/((l**23*l)\/l*l))*l**(-16)\/(l*l**(-8\/9)) assuming l is positive.\nAnswer: l**(551\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72) - sqrt(72)*-2)*-2*-3 - ((-5*(sqrt(2) + 2 + sqrt(2) + 3))**2 + -1).\nAnswer: -824 - 392*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -180*n - 636 = -233*n. Calculate the remainder when 4100 is divided by n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5227 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes after 12:44 PM?\nAnswer: 7:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1183 + -1173. Calculate the smallest common multiple of c and 190.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1732118, 1732119, 1732120?\nAnswer: 1732121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 256\/(-896) + 50\/126 + 1015\/180. Is w != 93?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 - -11. Let p = 37 + -34. Suppose -p*r + 2*m = -9, m - 17 = -3*r + 1. What is the closest to 0 in r, n, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10054, 20139, 30178, 40165, 50094, 59959, 69754, 79473?\nAnswer: 89110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jo when two letters picked without replacement from jormrmmrooo?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1617 divided by -77\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20*b**3 - 12710*b**2 + 8177925*b\/4 - 7975845.\nAnswer: 5*(b - 4)*(4*b - 1263)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, 3, 0.9, -0.5, -1\/6, 82, 42?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 663 and 78.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:46 AM and 11:54 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, 188\/5, -0.1 in increasing order.\nAnswer: -0.1, 1\/2, 188\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -246 (base 9) to base 5.\nAnswer: -1304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -125860, -251820, -377772, -503716, -629652, -755580?\n\"Answer: 4*v**2 - 125972*v + 108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 59124352 a multiple of 2416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 29, 156, 367, 662?\n\"Answer: 42*h**2 + h - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -41034 (b) -5 (c) 4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6436753 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 578252994, 1156505989, 1734758984, 2313011979?\n\"Answer: 578252995*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 8*a + 129. Let d be z(-13). Suppose 3*b + 2*b + d = 2*p, -3*p + 9 = 2*b. Let v = -3 - -2. Put v, 2, b, 5 in decreasing order.\nAnswer: 5, 2, v, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4001511.82 rounded to the nearest one hundred thousand?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1398 is divided by 284?\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 3\/1 + 195\/(-39).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 198211 is divided by 39641.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 229 - 21 = 0. Is 30 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -l*v**4 - 133*l*v + 10*l + 2*v**2 + 2 with respect to v.\nAnswer: -4*l*v**3 - 133*l + 4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 211120101 (base 3) to base 12\nAnswer: 9631","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -m - m. Let a(p) = 4*p - m*p + p. Let r(t) be the first derivative of -t**2\/2 - 2. Calculate a(r(z)).\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (116*n - 2196 - 8*n**2 + 2196)*(-2*n + 5*n**2 - 2*n**2 + 0*n).\nAnswer: -24*n**4 + 364*n**3 - 232*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 4*d**2 + 728*d + 1212. Give f(-180).\nAnswer: -228","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -2*z**2. Suppose 2*r - 12 = -0*r + 2*c, -3*r - 2 = c. Let q(b) = b**2. Let w(f) = r*l(f) + 3*q(f). Let s(n) = 3*n + 13. Calculate s(w(y)).\nAnswer: 3*y**2 + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/64 and -113\/9630.\nAnswer: 308160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.5, 236, 5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -109030 - 125?\nAnswer: -109155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4284, 17206, 38934, 69624, 109432, 158514, 217026?\nAnswer: 285124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 55.4 and 4?\nAnswer: 221.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9 in -65\/71, -30, -1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -124a7 (base 15) to base 11\nAnswer: -3a9a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4409 times -0.9?\nAnswer: 3968.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 48 and 548?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4325*y = -4326*y + 1. Let m(w) = w - 7. Let t(a) = a - 6. Let p(k) = 6*m(k) - 7*t(k). Determine p(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10 - -12. Suppose 2*b = -0*b - v + 15, -g*b + 2*v = -18. Solve -o + b = 3*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2e8 - -12a0?\nAnswer: fb8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 53880\/11 + -4898. Which is the second biggest value? (a) -0.1 (b) n (c) -0.0014\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -47 + (100\/10 - -6) + 0\/2.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -198.0000111 - -198. Round a to 6 decimal places.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -201382*f*m**3*u**3 - f*m**3 + 39*f*m - 5*f*u**3 + 100*m**2*u**3 wrt m?\nAnswer: -1208292*f*u**3 - 6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*2*sqrt(425)*1 + (-2*sqrt(425) - sqrt(425))**2*-4*2.\nAnswer: -30600 - 50*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 46554321 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - 4*z - 28, -9*z - 15 = -4*z. Solve -34*y = l*y + 168 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4993 - -5003. Solve -5*y - 5*f - t = 0, 0 = -2*y - 16*f + 13*f - 7 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000449712 to 6 decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*h**2 + 17201082 + 255*h - 17201082 in the form z*h**2 + w + v*h and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -2*z**3 + 228*z**2 - 98*z - 3. Let x(u) = -2*u**3 + 224*u**2 - 96*u - 3. Let j(q) = 2*k(q) - 3*x(q). Find the second derivative of j(i) wrt i.\nAnswer: 12*i - 432","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*(w\/((w*w\/w**(-26))\/w))\/w*w)\/w)\/w**0*w**(1\/4)*w\/(w\/(w**(-1\/48)*w)) assuming w is positive.\nAnswer: w**(-1189\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1743?\nAnswer: 3, 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -8 - 6)*3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5.08 + -0.08. Let i = -5 + q. Let w = -1 - -9\/5. Which is the biggest value? (a) i (b) w (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m*m**(4\/5)*m)\/m)**(-16\/5) assuming m is positive.\nAnswer: m**(-224\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4127120 is divided by 162?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ipijiivpivpiijlpjv. Give prob of picking 2 p.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + 33 = -6*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14*12)\/(-2)*(-32)\/(7936\/(-62)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -4, 0.1, -84969.6?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*q - 1645 - 1547. Let j = q + -451. Put -5, -2, 0, j in decreasing order.\nAnswer: j, 0, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1877786077 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 15311687 + -932197.\nAnswer: 14379490","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 14) to base 8\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2927441 to the power of 1\/2, to the nearest integer?\nAnswer: 1711","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 - (0 + 5\/4). Let r = 79 - 30. Let h = 243\/5 - r. Which is the closest to l? (a) 4 (b) 2\/7 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -329, -659, -989, -1319, -1649?\n\"Answer: -330*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the first derivative of 58 - 49\/2*y - 175\/8*y**2 - 1\/20*y**5 - 17\/16*y**4 - 31\/4*y**3. Factor h(i).\nAnswer: -(i + 1)*(i + 2)*(i + 7)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -96*p**5 + 1130*p**3 - 1552861*p?\nAnswer: -1920*p**3 + 6780*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -81*q**3*y**3 - 21*q**3*y + q**3 - 2*q**2 - 10*q*y**3 - y**3 + 2*y**2 wrt y?\nAnswer: -486*q**3 - 60*q - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 35516, 71092, 106668, 142244, 177820, 213396?\n\"Answer: 35576*x - 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 202*q = -5*f + 199*q - 36, 0 = 2*q + 4 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -227.0000003251 - -227. Round q to seven decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - 15 = -4*z + 6*z, -5*z + 5*q - 30 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 41*v + 13 = -38*v, 12 = -3*j + 3*v for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -h + h - h**3 + (h - 3*h + 0*h)*(7 - h**2 - 7) + 0*h**3 + 4*h**3 - 2*h**3 in the form o + t*h**2 + g*h + m*h**3 and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 3566 = -p, 4*p - 3*v - 2*v = -14290. Let t = p + 25336. Suppose 0 = c + t + 91234. What is c rounded to the nearest ten thousand?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 902*f - 22496. Give z(25).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 18*r + 11 - 5 - 48 - r**2. Let q be n(14). Are 14 and q non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2004 + -345305?\nAnswer: -351313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 40*b*j*n**2 - 2*b*j*n - b*n**2 + 4*b - 3*j*n**2 - 5815*j*n + 16*n**2 + 7 wrt n?\nAnswer: 80*b*j - 2*b - 6*j + 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes after 2:59 AM?\nAnswer: 9:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -4\/9, -0.05, 2\/3, -14 in increasing order.\nAnswer: -14, -4\/9, -0.05, 2\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46991 = 23*o + 179*o - 49819 for o.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -28\/179523 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 - (-6)\/9*3. Let x = m - -6. List the prime factors of x.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -39*(-8)\/676*26\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -710 (base 9) in base 14?\nAnswer: -2d2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + 5*s + 2425, -817 = -4*n - 4*s + 1599. Is 53 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -66081a (base 11) in base 16?\nAnswer: -1019a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31177, 31205, 31211, 31189, 31133, 31037, 30895?\nAnswer: 30701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(209) + 1*sqrt(209)*1)\/((sqrt(132)*-3)\/sqrt(12) + sqrt(11)).\nAnswer: -sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 605839 is divided by 201893?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:08 AM and 8:28 AM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1242 and 2787.\nAnswer: -3461454","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -8*q**2 + 1. Suppose 0 = 3*j - 0*j - 15. Let z(x) = 0*x**2 + 3*x**2 - 2*x**2. Let p(r) = j*z(r) + l(r). Determine p(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:48 PM and 5:33 AM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 2518 = -v. Find the third derivative of -v*k**3 + 2518*k**3 - 2*k**5 - 32*k**5 - 114*k**2 wrt k.\nAnswer: -2040*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -38\/54145 and -133\/4290.\nAnswer: 3573570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11)\/33 - (3 - (171\/(-54) - -6)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + i = -y + 17, -4*y = 2*i + 2. Let d(c) = c**3 + 3*c**2 - 3*c. Calculate d(y).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 49 + -39. Suppose -1656 = -l*c + c. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -23*c + 187. Let k(g) = -8*g + 62. Determine -6*i(w) + 17*k(w).\nAnswer: 2*w - 68","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 94348 (b) 0.5 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 6, u: 6}. What is prob of picking 1 y and 1 u?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the first derivative of n**8\/5880 - n**7\/2940 + 2*n**3\/3 + 3. Let i(z) be the third derivative of p(z). Suppose i(y) = 0. Calculate y.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 n when two letters picked without replacement from {b: 7, n: 12}?\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/642448 and 75\/59105216.\nAnswer: 59105216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (i + 0 + 3 - 2)*(4 + 0 - 3) to n + o*i and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 4*m = -77, 2*d = 4*m + 41 - 3. Suppose 6*w = d + 41. Let h be (-6*(-3 + w\/2))\/(-1). Solve i - h = -2*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -295 (base 14) in base 16?\nAnswer: -20b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-3))**(-2\/139))**(-45) assuming d is positive.\nAnswer: d**(-270\/139)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -156 in -3, 33, -1\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -141400697\/888 + 159235. Calculate the common denominator of j and -46\/1221.\nAnswer: 9768","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1513.\nAnswer: 17, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.12? (a) 1\/7 (b) 22 (c) -3 (d) 1\/6 (e) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -51*v + 9. Let l be r(-8). Calculate the common denominator of -37 and l\/36 + (-1)\/3.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5245986?\nAnswer: 2, 3, 874331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 - 5)*(104*n - 53*n + 68*n)*(-2*n**2 - n**2 + n**2) to the form m*n**2 + p + o*n**3 + k*n and give o.\nAnswer: 1190","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*h + 16*h + 0*h)*(h**2 + 0*h**2 + 0*h**2 - 2*h + 2*h - 3*h**2 + (-h + 2 - 2)*(-7 + 3*h + 7)).\nAnswer: -105*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwsixiiwxxtwiw. What is prob of picking 2 i and 1 t?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 y when two letters picked without replacement from yyxyyyyxyxyxyyyyyy?\nAnswer: 56\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w**2 + 207444*w - 3586084428 = 0.\nAnswer: 34574","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - c - 1551 = -2*x, -3*c - 3099 = -4*x. Is 21 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21041 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -3*u - 2. Let g be (2 + 3\/(-3))*-1 - -5. Suppose 12 = 2*o + g. Suppose -3*v = o*s - 1 + 2, -5*s - 3*v - 5 = 0. Give f(s).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.07 times -46501\nAnswer: 49756.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*w + 0*w + 6*w.\nAnswer: 6*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 648 and 1512.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 171485 + -1?\nAnswer: 171484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 476, 945, 1410, 1871, 2328, 2781, 3230?\n\"Answer: -2*w**2 + 475*w + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000021808557 to seven decimal places.\nAnswer: -0.0000218","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 632 and 79.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes after 6:06 AM?\nAnswer: 12:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -11*x**2 + x + 1. Let n(r) = r**2 + 3*r + 4. Let j be n(-4). Let t = -9 + j. Give h(t).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 15*c**5 + 5585*c**4 - 72490*c**3 - 128548080*c**2 + 1115955200*c - 686817280 = 0. What is c?\nAnswer: -256, 2\/3, 8, 131","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 4*z**3 + 0*z**4 + 0 - 2\/5*z**5 + 0*z**2 - 18\/5*z = 0.\nAnswer: -3, -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 13721 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9752 + 8547. Is h a multiple of 71?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 + 3)*21\/(-6 + 27). Solve 0 = -5*c + 2*c + 2*z + 17, -j*c + 13 = 2*z for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -524, -542, -560, -578?\n\"Answer: -18*d - 506","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8196884?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 110103291 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 34143, 33785, 33427, 33069?\n\"Answer: -358*x + 34501","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 142140549 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**3 - 4*p**2 - 2. Let s be k(-4). Let l be (s\/(-1))\/((-2)\/(-4)). Suppose 3*c - 35 = -4*n + 9, -5*c + l*n + 52 = 0. Is c a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -719 - 2*j**2 - 33*j - 1314 - 27*j - 148*j - 3375.\nAnswer: -2*(j + 52)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 47*y**3 - 31*y**3 - 3*y**4 - 81 - 16*y**2 + 8*y**3 wrt y?\nAnswer: -72*y + 144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -59*n**3 + 5*n**2 + 28*n - 30. Let a(j) = -30*j**3 + 2*j**2 + 13*j - 15. Let b(v) = -5*a(v) + 2*z(v). Find the second derivative of b(w) wrt w.\nAnswer: 192*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -193, 0.2, 4\/7, -2, -0.1, -19, 0.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 10*p + 1208. Let t(h) = -385*h**2. Determine k(t(i)).\nAnswer: -3850*i**2 + 1208","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 86479?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 89295494?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - 3*v - 39, v = 5*u + 2*v - 25. Suppose 8*n - 6 = u*n. Solve 2*l = -n*l + 25 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 2811*v + 3603. What is k(1)?\nAnswer: 6414","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 191*s**2 - 191*s**2 + s**4 - 3*s**3 + 2*s as d*s + a*s**3 + y*s**4 + r + p*s**2 and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -138*t + 4. Let u(x) = 35*x - 1. Let d(p) = -j(p) - 4*u(p). Let w(z) = z + 5478. Determine w(d(n)).\nAnswer: -2*n + 5478","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -2*n + 2*d, -4*n - 27 = -5*d - 0. Let h be (0 - (-5)\/(2 - n)) + 2. Solve 11 = -2*a + 4*s - 5, -h*a - s + 4 = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/498 and 101\/12702.\nAnswer: 1054266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 + -5.32. Let g = j + -17.68. Let a = -18.02 - g. Is 1\/3 > a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**2 - 5*r + 1. Let a be k(-4). Suppose -2*w + 5*t - 10 = 20, 0 = 3*w - 5*t + 35. Let p = 7 + w. Solve 0 = p*m - 2*z, m - 1 = -a*z + 11 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/6714 and -19\/517782?\nAnswer: 579398058","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*x**2\/3 + 45052*x - 20792\/3 = 0. What is x?\nAnswer: 2\/13, 2599","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -595*a**2 + 9217*a - 18. Let j be m(16). Is j greater than -4864?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -d*m**4 + 41283*d*m**3 - 2*d*m**2 - 1358*d - m**4 - 7*m**3 - m**2 + 46*m wrt m?\nAnswer: -24*d*m + 247698*d - 24*m - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14 + -9. Suppose q*l = -2*p + 15, 3*l + 4*p + 2 + 3 = 0. What are the prime factors of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 346707?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10658294*f**2 - 2*f**3 - 10658294*f**2.\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(68)\/(sqrt(16)\/sqrt(4)))**2.\nAnswer: 8*sqrt(17) + 33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the third derivative of h**8\/168 + 4*h**7\/105 - 99*h**6\/10 - 4598*h**5\/15 - 38599*h**4\/12 - h**2 + 4772. Find z, given that s(z) = 0.\nAnswer: -11, 0, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 651579 not equal to 9122125\/14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/20 and -51\/3865685.\nAnswer: 15462740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 222110 (base 3) to base 7\nAnswer: 2040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 576162?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1*1099\/(-476) - 36\/(-16). Which is the smallest value? (a) -2 (b) 4 (c) s (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5221238 days to milliseconds.\nAnswer: 45111496.32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t - 3*t + t - 2)*(45*t + 10*t - 15*t)*(10*t - 10*t + 22*t).\nAnswer: -2640*t**3 - 1760*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/6 - 10\/(-84). Let k be -2 - (1 - 2 - -5). Let n be (8\/132)\/((-2)\/k). Which is smaller: b or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the second derivative of n**3\/3 - 3*n. Let o be 3\/(-1) - (-3 + -364). Let t(x) = 12*x - 364 + o. Give j(t(f)).\nAnswer: 24*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -87494*y - 13736*y**2 + 87494*y as s + p*y + c*y**2 and give c.\nAnswer: -13736","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 7*g**2 - 50*g + 89. Let i be v(4). Put 0, i, 2, -132, -2 in increasing order.\nAnswer: -132, -2, 0, i, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - l - 1)*(l**3 - 2*l**3 + 0*l**3 + (-2*l + 0 + 0)*(l**2 - 3*l**2 - 2*l**2)).\nAnswer: -7*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.18 + -3.24. Let o = -0.21 - -0.15. Let y = p - o. Is 0 <= y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1477820?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 71 + 9. What is the common denominator of 47*(-4)\/(-10)*20\/z and -137\/12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/12444712 and -101\/336.\nAnswer: 74668272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = z - 5*f, 2*z + f + 40 + 15 = 0. What is the third biggest value in 0.3, -2, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 38 + -22. Suppose -4*x - u = -2*i, 2*i + 2 - 6 = -2*x. Solve -i*y - 10 = 6 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 5956, -21 in descending order.\nAnswer: 5956, 1, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/(-30) + -57*(-27548)\/(-3151530)?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -2*i - 141. Let a(b) = -13*b**2 - 24. Let z(k) = -8*k**2 - 15. Let c(o) = -5*a(o) + 8*z(o). Give c(r(g)).\nAnswer: 4*g**2 + 564*g + 19881","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the first derivative of -6 + 1\/10*k**5 - 1\/3*k**3 - 3\/8*k**4 - 4*k + 3*k**2. Factor p(i).\nAnswer: (i - 2)**2*(i - 1)*(i + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -21, -8, 21, 72, 151, 264?\n\"Answer: p**3 + 2*p**2 - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 2*m**3 - 25*m**2 - 8*m - 13. Let r be f(13). Calculate the greatest common factor of r and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-1 + 0 + sqrt(288) + sqrt(288)).\nAnswer: -96*sqrt(2) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w - 21 = -5*j, -w + 3*j = -4*w + 27 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**2 + 3763*s + 715960. Calculate z(-201).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.61547 rounded to 3 decimal places?\nAnswer: -0.615","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5335, -16362, -33067, -55450?\nAnswer: -83511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 659981 to the power of 1\/5, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 2*n - 3*c, 0 = n + 5*c - 20 - 11. Suppose 98 = q + 4*o + 4, 282 = 3*q - 2*o. What is the remainder when q is divided by n?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the first derivative of 0*r**2 + 0*r + 7\/6*r**4 - 4\/9*r**3 + 8\/15*r**5 - 81. Find h such that x(h) = 0.\nAnswer: -2, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -32*g + 89. Let h(b) = -17*b + 45. Let i(q) = 11*h(q) - 6*y(q). Let j be i(8). Which is greater: j or -1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:04 AM and 8:46 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*u**3 + 127*u - 4 + 4 - 192*u**2 - 129*u.\nAnswer: -2*u**3 - 192*u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.4 (b) 2\/7 (c) 3\/7 (d) -0.06\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -33147 divided by 889?\nAnswer: -261\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2091 is divided by 205.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 3*t = 30. Solve 4*o - t*u = 6, -3*u - 3 - 5 = 2*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 2*b = 116. Let g = 32 + -55. Let h = g - -33. Calculate the remainder when b is divided by h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 133 divide 7549?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6755074212?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -33*i + 2731. List the prime factors of z(0).\nAnswer: 2731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -22.3 at most 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-55)\/10 - -6) + 3\/2. Let d(o) = o**3 + o**2 - 2*o + 2. Calculate d(u).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19 divided by -43804\nAnswer: -19\/43804","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*j**2 + 4*j**2 + 0*j**2 - 68*j**3.\nAnswer: -68*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2876720.\nAnswer: 2, 5, 7, 11, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -27 + 39. Suppose q = -22*k + 25*k. Solve 0 = -k*i + 3*i - 4 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4677 - 12053. Let c = -7326.744 - z. Let y = -49 + c. What is y rounded to 2 dps?\nAnswer: 0.26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 998*w - 5*b - 20 = 1003*w, -w - 5*b = 28 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 5\/3, -5 in descending order.\nAnswer: 5\/3, 0.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g = 5*x + 12, 0*g - 5*x + 6 = 2*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 15\/721112 and 25\/17696?\nAnswer: 2884448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*t**4 + t**5 + 3*t**4)*(-7 + 4 + 4) - 2*t**2 + 2*t**2 + t**5)*(-82 + 162 - 81).\nAnswer: -2*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 4*b**2 + 7509472*b\/7 + 3218340\/7 = 0?\nAnswer: -268195, -3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the third derivative of 343*p**4\/8 + 2023*p**3\/6 - 250*p**2 - 2*p. Differentiate w(x) with respect to x.\nAnswer: 1029","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) -0.09 (c) -16\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m + 48. Suppose -g = -0*g. Let z be b(g). Suppose 5*y + 4*k = 50 + 22, -5*y + 4*k = -88. What is the greatest common divisor of y and z?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1, -5121, 2.09, 5, -3\/5?\nAnswer: -5121","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a millimeter in micrometers?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 10 - 7 - (1 + -1). Differentiate -4 + v**h - 3*v**3 + 3*v**3 with respect to v.\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 8) in base 12?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000111101 (base 2) in base 14?\nAnswer: 2cd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z + 5 + 8*z**2 - 13*z**2 + 6*z - 5*z**2. Let c(f) = -9*f**2 + 3*f + 4. Let x(w) = 5*c(w) - 4*l(w). Factor x(u).\nAnswer: -5*u*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**4\/4 + 12067*k**3 + 143864473*k**2 - 42186618144*k + 3055559936256.\nAnswer: (k - 144)**2*(k + 24278)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 86 - 74. Let g be ((-144)\/(-54))\/(1\/n). Let d = -21 + g. Is d 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 i and 1 o when two letters picked without replacement from vvvoooowvvovvvoovvi.\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -182 = 4*g + 3*g. Round g to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 - 1. Let q = -37 - -34.8. Let h = 2 + q. Sort -1, h, y in increasing order.\nAnswer: -1, h, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((-1*sqrt(153)*-4 + -2 + (sqrt(153) + sqrt(153) + 1 - sqrt(153)))**2 - ((sqrt(17) - (sqrt(17) + -1))*4 - -6*(sqrt(85)\/sqrt(5))**2)).\nAnswer: -14880 + 120*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 296 and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 98717.7 centuries?\nAnswer: 118461240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the first derivative of 0*v + 1\/2*v**4 + 0*v**2 + 6 + 4\/3*v**3. Factor w(k).\nAnswer: 2*k**2*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 2 + 13 + -15?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 180 is divided by 198\/11 - 5 - 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 r when four letters picked without replacement from omqommmrromqrmmrmqq?\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*r + 16 = 18*r. Which is the fourth smallest value? (a) r (b) -15\/8 (c) 1 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -941*n + 944*n - 15 = 0. Find the third derivative of k**n - 19*k**2 + 0*k**5 + 5755*k**4 - 5860*k**4 - 3 wrt k.\nAnswer: 60*k**2 - 2520*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*m = 10*m - 9 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1631 is divided by 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 - 208?\nAnswer: -209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 120\/((-3)\/9 - 0). What are the prime factors of (n\/(-96))\/((-2)\/(-24))?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 67*q**2 - 21*q + 17423 wrt q.\nAnswer: 134*q - 21","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1033 is divided by 16.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*s + 6 - 5 + 1.\nAnswer: -49*s + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -41 + 3*i**2 - 16*i**4 - 51*i**3 + 42 + 14*i**4 + (5*i - 2*i - 5*i)*(i**3 + i**3 - 4*i**3).\nAnswer: 2*i**4 - 51*i**3 + 3*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*5*(42\/35)\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 29505812?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.6 + 1. Let k = -166.76 - -164. Let h = k - 0.24. What is the third biggest value in q, 4, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -2\/7 (b) 2 (c) 2526\/151 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 1 + 9)*(-2*z**3 + 4*z**3 + 2*z**3) + 3*z**2 - 3*z**2 - 11*z**3.\nAnswer: 45*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 1 h when three letters picked without replacement from {q: 1, l: 1, p: 2, z: 2, y: 3, h: 3}?\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -1\/8, 32\/7, -3\/5, -906 in decreasing order.\nAnswer: 32\/7, -1\/8, -0.2, -3\/5, -906","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -243785\/252 + 8732\/9. Let r = 2\/753 + -30937\/24096. Calculate the common denominator of z and r.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 80726.2kg to milligrams.\nAnswer: 80726200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4780 + -3585?\nAnswer: -8255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*l = 19*l + 18 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 5, 5 = 3*m - m + 3*z. Let x be (-279)\/(-12) + 3\/m. What is the greatest common factor of 12 and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 287437 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**2 - 11*s - 14. What is k(-10)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 173 divide 14406197?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3 - -4*22\/28. Is y at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1732184?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/(-6))\/(8\/(-18)). Which is the third smallest value? (a) d (b) 0.2 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**2 + 2*b + 2. Let z be h(-3). Let j = -305 + 307. Let c = -48 - -40. Put c, 4, j, z in decreasing order.\nAnswer: z, 4, j, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert c179 (base 13) to base 6.\nAnswer: 323145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 67*p**2 - 6*p. Let q(h) = 3*h. Calculate q(c(x)).\nAnswer: 201*x**2 - 18*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/82 and 83\/6.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(2*sqrt(208)*-4 - sqrt(208) - 1*(sqrt(208) + 4))**2*2.\nAnswer: -83264 - 1280*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 408171, 408109, 408047, 407985, 407923, 407861?\nAnswer: 407799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/32 and 73\/2255052.\nAnswer: 18040416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1825261.\nAnswer: 1825261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes after 5:48 AM?\nAnswer: 2:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1067060 or 1067037?\nAnswer: 1067037","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**2 - k. Let l = -21505\/2 + 10753. Let d(s) be the first derivative of -l*s**2 - 31 + s. Determine -d(r) + w(r).\nAnswer: -r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*p**2 - 3*p**4 + 40*p**3 - 9*p**3 - 16*p**3 - 12*p**3 to h*p + n*p**3 + a + l*p**2 + y*p**4 and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes after 11:49 PM?\nAnswer: 2:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000101 + -100010001001001?\nAnswer: -100010000000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 40, -5, -5\/3, -12.3, -307 in descending order.\nAnswer: 40, -5\/3, -5, -12.3, -307","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 23311134 by 7623.\nAnswer: 3058","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-3)\/2)\/(2\/((-64)\/6)). Suppose 0 = -2*s - 1 + 5. Solve -j = -s*r + 6*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of g*h**3 - 107844698*g*h**2*i + h**3*i + h**3 + h**2*i - 2*h + 1084244 wrt g?\nAnswer: h**3 - 107844698*h**2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4873816 to the power of 1\/2, to the nearest integer?\nAnswer: 2208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002041461645 rounded to 7 decimal places?\nAnswer: -0.0002041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 827998646?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2138164499 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of h*o**5*s - 4*h*s - 3708131*o**6 - 13471*o**2*s - 25*o**2 wrt o?\nAnswer: 60*h*o**2*s - 444975720*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 239382\/486 - -1*(-8)\/(-18)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(228) - -2*sqrt(228)))\/(sqrt(1452) + sqrt(1452) + sqrt(1452) + sqrt(1452)*-2))**2 - (sqrt(19)*-5*-4 - -3*sqrt(1539)).\nAnswer: -47*sqrt(19) + 171\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -2 - 8. Suppose x*d - 52 = 3*d. Solve 0 = -5*j - 0*h - 3*h - d, -4*h = 8 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:19 PM and 1:19 PM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 10 - (2 + 17)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8520 + -6022. Calculate the remainder when v is divided by 139.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -116, -234, -352, -470, -588, -706?\nAnswer: -824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -444133*g*s**4 - 12*g*s - 398*g wrt s?\nAnswer: -5329596*g*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1\/38, 2\/21, 2, -6, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1888b49 (base 13) to base 10\nAnswer: -8045137","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 0 + (3 + sqrt(2)*2 - (1*sqrt(2) + 0)).\nAnswer: sqrt(2) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes after 12:06 PM?\nAnswer: 10:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(4\/(-114)) - (2 + -1). What is the greatest common factor of s and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from flflfflfflf. What is prob of picking 2 l?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19788*z - 19772*z + 39507*z + 13 to the form u + l*z and give u.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 3505*s + 1. Let v(b) = 3515*b + 1. Calculate -4*p(q) + 3*v(q).\nAnswer: -3475*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 - -1)\/((-10)\/3505). Let i = t + 988. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -266, -507, -774, -1079, -1434, -1851, -2342?\nAnswer: -2919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 4*i = 2*i - 665, 0 = 4*r + 3*i - 898. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -z - a, 0 = -5*z - 2*a - 8. Let g = z - -6. Let k = -9\/10 + 7\/5. Put 1\/4, g, k in ascending order.\nAnswer: 1\/4, k, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99) - (2*sqrt(99)*2)**2 - sqrt(99) - (1 + sqrt(99) + 0))*-4.\nAnswer: 12*sqrt(11) + 6340","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4101765?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24 and 360.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -534718.0959 - -38.11.\nAnswer: -534679.9859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*(l\/(l**(1\/45)\/l))\/l)**(-1\/49))**(-2\/63))**(3\/7) assuming l is positive.\nAnswer: l**(178\/324135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1422*j**3 + 214*j - 2264*j - 91*j**4 + 3*j**5 - 785*j**2 - 2107*j**2 + 106*j - 134*j**4.\nAnswer: 3*j*(j - 81)*(j + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 872465 (base 10) to base 4\nAnswer: 3111000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -14*q**6 - 5*q**4 + 20*q**2 - 5*q. Let f(z) = -21*z**6 - 8*z**4 + 30*z**2 - 8*z. Let m(x) = 5*f(x) - 8*i(x). Find the third derivative of m(w) wrt w.\nAnswer: 840*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 811 = 5*r + 4824, -4*b + 3388 = -3*r. Let g be (0 - 3\/(-9))\/((-4)\/r). Factor -3*i**2 + i**3 + i**2 - 94 + g.\nAnswer: i**2*(i - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.4 - -0.4. Let f = -1.4 - g. Let h = f - -2.2034. What is h rounded to three dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000142816607 rounded to 6 dps?\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j = 2*q - q + 6, 4*j - 4 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -149 or -6?\nAnswer: -149","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1419\/226 - 114071\/16611. What is the common denominator of -46\/15 and b?\nAnswer: 1470","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21968566.\nAnswer: 2, 10984283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -3*q - 3. Let g be j(-2). Suppose -7*x + 2*x - 1 = m, g*m = 4*x + 54. Let v = m + 10. Calculate the greatest common factor of 16 and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the first derivative of -o**5\/25 + o**4\/20 + o**3\/5 - o**2\/2 + 2*o\/5 + 72. Factor n(a).\nAnswer: -(a - 1)**3*(a + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30 and 340?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/((b**(-4\/5)\/b)\/b)*b*b**(-4)\/b)\/((b**1*b)\/b*b)**(-42) assuming b is positive.\nAnswer: b**(419\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 514208\/40 - 2\/10. Let x = -256989\/20 + u. What is the common denominator of 67\/18 and x?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11742 - -31742. Round p to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 1366 = -10097. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 132.4 - 132.5. Let w = -10 - -2. Let o = w + 16. Do n and o have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1 (b) -6 (c) 1\/17 (d) 2 (e) 7\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1020287367 to the power of 1\/7, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 408 + 445 = l, 245 = 5*z - 5*l. Solve -20*n = z + 37 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 18 = 3*u, -4*o + 22 = -4*u + 14. Suppose -58 = u*q - 58. Factor q + 0*y + 0*y**2 + 1\/2*y**4 + 0*y**3 - 1\/4*y**5.\nAnswer: -y**4*(y - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 3*k - 20, -6*c + 4 = -2*c - 3*k. Suppose 0 = 4*j - w + 5, -3*w + 7*w - 20 = -j. Let n = 26122 - 26119. Put j, c, n, 30 in decreasing order.\nAnswer: 30, c, n, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7 * -13.058.\nAnswer: -91.406","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/((-30)\/(-27))*(-6560)\/12792?\nAnswer: -12\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -22 + 14. Let i(p) = -14*p**3 - 24*p**2 + 13*p + 26. Let h(t) = -5*t**3 - 8*t**2 + 4*t + 9. Let u(j) = 11*h(j) - 4*i(j). Is u(k) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**6\/l**(-7))\/(l**(-2\/5))**(4\/17))**(-32) assuming l is positive.\nAnswer: l**(-35616\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - 2. Suppose -3*d + 0 + 3 = m, 5*d - 8 = -x. Suppose -f + s + 6 = 2*s, 0 = 2*s - 4. Solve -23 = f*v - x*o, -v - o = -5*o + 22 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 332, 336, 342, 350?\n\"Answer: u**2 + u + 330","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1316661 a multiple of 1241?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are -12410635 and -12410636 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 209963 to the nearest integer?\nAnswer: 458","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((2 - -2) + -3)\/(4 - 1)*-3. Which is smaller: 4363 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 4*y + 2*j - 21, -y = -5*j. Suppose -571*k = -552*k - 38. What is the third derivative of -12*t**y + 50*t**k + 4*t**5 - 38*t**2 wrt t?\nAnswer: -480*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48431 is divided by 47363.\nAnswer: 1068","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 5*m - 315 = 0, p - 133*m = -138*m + 75. Let x be -2 - (-4)\/(8\/214). What is the greatest common divisor of p and x?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + -8 + 16 + 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in three fifths of a kilogram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2.48 from 635.\nAnswer: 637.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:00 AM and 7:32 PM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.023 + 0.513. Let q = i + -0.17. Let y = q + -0.3284. What is y rounded to three decimal places?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eees when four letters picked without replacement from eeseeseeees.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 + 30 + (0 - 14) - -6?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 5, v: 1, p: 1, z: 3}. Give prob of picking 1 v and 3 z.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (9 - (8 + 1)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**3 - 8*z**2 + 9*z + 1. Let x be h(-9). Let y = -8 - -5. Which is the closest to x? (a) -4 (b) y (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -280*z**2 - 290*z**2 - 72 + 573*z**2 to the form y + l*z + t*z**2 and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 4*i**3 + 2*i**2 + 4*i + 2. Let q(j) = -3*j**3 - 2*j**2 - 4*j - 1. Let t(x) = -5*q(x) - 4*y(x). Suppose -4*v + 4 + 4 = 0. Calculate t(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 5, 0.5, -0.4, 0?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.01577 + 128760.\nAnswer: 128760.01577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j + 3*n - 31 = 4, -5*j = n - 25 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3598536 - 3605445 = 329*t for t.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 3*p - 2. Let u be m(2). Suppose 3*q = -2*n + 16, -q + u*n - 13 = n. Calculate the smallest common multiple of q and 288\/45 + 6\/(-15).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 3741*j**3 + 145*j**2. Let v(o) = -156*o**3 - 6*o**2. Give 145*v(h) + 6*y(h).\nAnswer: -174*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the first derivative of -2\/3*f**3 + 3 + 0*f**4 + 0*f + 0*f**2 - 9\/5*f**5. Find the third derivative of s(b) wrt b.\nAnswer: -216*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes before 11:18 PM?\nAnswer: 10:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 50018782 to the nearest integer?\nAnswer: 7072","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dr when two letters picked without replacement from rdi.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/30 (b) 0.1 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2153 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (13 - (-7 + 31))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express ((4 - 1 + 1)*(-3 + 3 - u) + (-u + 9*u + 78*u)*(5 - 4 - 3))*(-3*u + 2*u**2 + 3*u) in the form x*u**3 + c + a*u**2 + y*u and give x.\nAnswer: -352","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -9 (b) 2\/13 (c) 0.2 (d) -781 (e) -5 (f) -2\/3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6ab6 + 5?\nAnswer: 6abb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (14*4\/(-32))\/(((-18998)\/8614)\/23)?\nAnswer: 73\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -r + 0*r + 53 - 53.\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pzpqgpppp. What is prob of sequence pg?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 b when three letters picked without replacement from {n: 7, e: 1, r: 5, z: 1, b: 1}.\nAnswer: 3\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 2*x**2 - 9*x - 65. Suppose 160 = 43*c - 63*c. Let t be v(c). What is the highest common divisor of 45 and t?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -101.69717674 and -6.\nAnswer: -107.69717674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 35452?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**2 - 12*s + 6. Let x be p(-13). Let z(l) = -l - 4. Let d be z(x). Put -2\/13, d, 0 in decreasing order.\nAnswer: d, 0, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 32196 + -13629. List the prime factors of w.\nAnswer: 3, 2063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*t = -3*o - 43*t - 52, 3*o = -4*t - 77. Which is smaller: -16 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -47 + 48. Which is the closest to s? (a) 0.05 (b) 2 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 23757 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -24 smaller than -420\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 7600 a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1308 + -823255?\nAnswer: -821947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 10 + 2 = 0. Let r(i) = -11 - 12 + 3*i + 30 - 5. Let s(y) = 11*y + 9. Determine v*s(j) + 9*r(j).\nAnswer: 5*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 480611, 961220, 1441829?\nAnswer: 1922438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 2*y**2 + 74*y + 676. What is n(-12)?\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 2*p - 36. What is the remainder when p is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -12*j. Let z(x) = -5*x - 2. Let b be ((-125)\/15 - -9)\/(2\/(-6)). Let c(v) = -2*v - 1. Let y(t) = b*c(t) + z(t). Give p(m) - 18*y(m).\nAnswer: 6*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -9*t**3 + 9*t. Let r(l) = l. What is -9*r(b) + v(b)?\nAnswer: -9*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1838*q + 1841*q + 18 = 0 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9553323 is divided by 3184436.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -17.7 + -5541.1639\nAnswer: -5558.8639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 289829 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 1304852343\/4 = 326213087?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes after 8:03 AM?\nAnswer: 2:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -5*t - 4, -2*t + 2 = y. Let k(q) be the second derivative of q**2 + q + y*q**3 + 0 - 1\/12*q**4. Find the first derivative of k(a) wrt a.\nAnswer: -2*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 4 + u**2 - 2 - 2*u**2 - 4*u. Let z(k) be the third derivative of 11*k**4\/12 + 191*k**3\/6 + 32*k**2. Let t be z(-9). Determine p(t).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the first derivative of -9*c**5\/20 - 9*c**2\/2 - 17*c + 17. Let t(s) be the first derivative of m(s). Differentiate t(b) wrt b.\nAnswer: -27*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 10, d: 2, o: 4}. Give prob of picking 3 a.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 12 - 32. Let h be 32\/q - (-2)\/(-10). What is the derivative of -h*z**2 - z**2 - 1 - z**2 + 2 wrt z?\nAnswer: -10*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + -110 + 52 + -7.\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-1)*s)**(2\/9))**(-8\/7)*(s\/s**2*s*s**(-2\/5))**(-14\/9) assuming s is positive.\nAnswer: s**(28\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*h - 107 - 52*h**3 - 13*h**3 + 7*h**3 + 106 to a*h**3 + z*h + s*h**2 + g and give a.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 + 65 = -24*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4456 divided by -4456.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 184 divided by 91\nAnswer: 184\/91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 425.213 nanometers in kilometers?\nAnswer: 0.000000000425213","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -18, -1168 in descending order.\nAnswer: -5, -18, -1168","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**2\/5 - 24309*q\/5 - 22817718\/5.\nAnswer: -(q + 978)*(q + 23331)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 2 + sqrt(13) - (sqrt(130) + 1*sqrt(130) + sqrt(130) + sqrt(130) - sqrt(130))\/sqrt(10))**2 + (6*(sqrt(156)*-2 - sqrt(156)))\/sqrt(12).\nAnswer: -26*sqrt(13) + 56","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 5 = -3*f, 3*f = -2*h - 0*f - 1. What is the tens digit of (-1)\/(h\/330) + 8 + -5?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*s + 67 + 302 = -40*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 + 14. Let d = -8 + g. Let m = 2 + -1. What is the remainder when d is divided by m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**2 - 2963358*x - 731790886347.\nAnswer: -3*(x + 493893)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let l = -27 + 37. Suppose l*g - 8 = 12. Let f be (g\/4)\/((-7)\/(-28)). Solve 6*b + f = 7*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.423? (a) 5 (b) -5 (c) -0.2 (d) -0.3 (e) 0.6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is (189\/(-2))\/(84\/(-224)) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*l**2 + 41135*l + 41140.\nAnswer: -5*(l - 8228)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 0.40364649.\nAnswer: -4.59635351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*n**4 + 8268*n**3 + 5*n + 8255*n**3 - 16569*n**3 in the form x*n + w*n**3 + b*n**2 + l*n**4 + u and give w.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 41646 + -41642. Let o(c) be the first derivative of 0*c**3 - 12*c + 1\/2*c**i + 19\/2*c**2 - 43. Find the first derivative of o(l) wrt l.\nAnswer: 6*l**2 + 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4102 and 586.\nAnswer: 4102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3886598 rounded to the nearest one thousand?\nAnswer: 3887000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 6929032 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 70 and 350.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5713 and 6895.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9145899.\nAnswer: 3, 7, 31, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3 - (-65)\/25)*(-3)\/30. Which is the smallest value? (a) l (b) 0.2 (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i**3 + 3*i**3 - 4*i**3)*(74*i**2 + 32*i**2 + 24*i**2) - i**5 - 2*i**5 + 0*i**5 + (2 + 3*i - 2)*(i**4 + 2*i**3 - 2*i**3).\nAnswer: 130*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 119\/130 + -3\/26. Which is the nearest to -2\/7? (a) 5 (b) s (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the first derivative of -287\/3*x**3 + 0*x**5 + 0*x**6 - 6\/7*x**7 + 1\/2*x**4 + 0*x**2 + 313 + 0*x. Find the third derivative of m(f) wrt f.\nAnswer: -720*f**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14718685 divided by -5.\nAnswer: -2943737","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 861741960?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the third derivative of s**8\/1008 - s**7\/126 - s**6\/360 + s**5\/36 - 5*s**2 - 18. Factor m(p).\nAnswer: p**2*(p - 5)*(p - 1)*(p + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(-9)\/54*1\/((-4)\/32).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/96 and 103\/18876.\nAnswer: 151008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a tonne in kilograms?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 334 - -10?\nAnswer: 344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 213711 is divided by 23743.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3691*t**2 + 1850*t**2 + 1846*t**2.\nAnswer: 5*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**2 + 6*y - 2. Let t be z(6). Let f be (-10)\/(-20) + 6\/4. Suppose f*s + 4*s - 18 = 0. Sort -5, t, s in ascending order.\nAnswer: -5, t, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9 and 48679209?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 2 k when four letters picked without replacement from {r: 5, s: 3, k: 2}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/11? (a) -6\/13 (b) -367 (c) 48\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 57 = -4*g + 54, -9 = -3*g for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -62 - -62. Suppose -3*g - 11 = 5*c - 5, i = -4*c - 5*g + 3. Sort 10, -4, 4, c in increasing order.\nAnswer: -4, c, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*f**2 + 143*f**2 - 130*f**2 - 10125*f**3.\nAnswer: -10125*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2669 and -0.2.\nAnswer: 533.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 671272 is divided by 120?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 19 + -87 + 79 - (1 - -13)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the first derivative of -s**3 + 165*s**2\/2 - 1638*s + 5349. Find g, given that t(g) = 0.\nAnswer: 13, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -72*w + 68*w + 20 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*i + 47 - 43 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -17, -105, -345, -815, -1593?\n\"Answer: -13*k**3 + 2*k**2 - 3*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 - 6079043?\nAnswer: -607903e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 906 and 4884?\nAnswer: 737484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 1290 = 2*x - 980, -4*x - 248 = -4*i. Solve i = 60*m - 29*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -193*f + 8346 = 6995. Let v(j) be the first derivative of -45 - 1\/3*j**3 + f*j - 5\/2*j**2. What is v(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10298205?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 4*t - 3 = -7, -2*t = -5*g - 12 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -54 + 57. Suppose l = -j*x + 990, 1660 = 2*x + 3*x + 5*l. Let f = x + -40. What are the prime factors of f?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -34, 7, 5 in increasing order.\nAnswer: -34, 0, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 7) in base 2?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 0 = 12. Let g be ((3 - i)\/(-3))\/(6\/(-4)). Factor 0 + q**3 + g*q + 8\/3*q**2.\nAnswer: q*(q + 2)*(3*q + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1532)\/(-572968)*((-24)\/20)\/((-3)\/(-10))\nAnswer: -2\/187","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the second derivative of 0 - 1\/12*y**4 - 11\/6*y**3 - 12*y + 0*y**2. Find the second derivative of n(d) wrt d.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (5\/(-20))\/(1\/(-4)). Suppose 10*j - 119 = 3*j. Sort 0, z, j in descending order.\nAnswer: j, z, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 2*t**4 + 2992*t**3 + 29094*t**2 - 930880*t - 956984 = 0.\nAnswer: -1486, -23, -1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 8.4*-5498\nAnswer: -46183.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -3*w. Let h(s) = 310*s**2. Determine h(r(y)).\nAnswer: 2790*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p + 7. Let b = 27 - 32. Calculate i(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 151000, 151084, 151162, 151234?\nAnswer: 151300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the second derivative of -h**8\/33600 + h**7\/840 + h**4\/12 - 21*h**3\/2 + 10*h - 2. Let l(i) be the third derivative of n(i). Factor l(q).\nAnswer: -q**2*(q - 15)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -9 + 1 - 4860\/(-576). Sort -1, 0.2, c in decreasing order.\nAnswer: c, 0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 95346416 a multiple of 166?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 575207123 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-72 + 36 - 209)*(-2*z + 2*z - 3*z**2 + (-z + 2*z + z)*(-z - 1 + 1) + 2*z - 2*z - 2*z**2).\nAnswer: 1715*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 204*m**4 - 4*m**3 + 62*m - 2. Let d(f) = -205*f**4 + 3*f**3 - 62*f + 1. Let j(r) = 4*d(r) + 3*t(r). What is the second derivative of j(q) wrt q?\nAnswer: -2496*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q + 8. Let h be p(8). Suppose -22 = -h*f - 11*f. Solve 3 = 4*g + k, -2*k = -4 - f for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes before 1:09 PM?\nAnswer: 5:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*y**2 - 81*y**2 + 24*y**2 + 28*y**2.\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 57685, 115396, 173121, 230866, 288637, 346440, 404281?\n\"Answer: y**3 + y**2 + 57701*y - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12737 - -445804\/35. Which is the nearest to -2\/9? (a) 0.4 (b) 1\/3 (c) s (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -7*c. Let v(h) = 6*h - 11. Let i(l) = -l + 2. Let y(x) = 22*i(x) + 4*v(x). Calculate y(r(b)).\nAnswer: -14*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 162 = 272. Calculate the remainder when 61 is divided by l.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000791 to 5 dps.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -82, 3\/7, 0.66, -6, 19?\nAnswer: 0.66","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -707 - -2137\/3. Let f(u) be the first derivative of 1\/12*u**4 + 4\/3*u**2 + 7\/9*u**3 - h*u - 11. Suppose f(k) = 0. What is k?\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4994234.\nAnswer: 2, 7, 356731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -27 + 29. Suppose -2*u + 36 + 19 = m, b*m = u + 115. Is 19 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 - (-143 + (2 - 2)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -9*a + 8. Calculate o(14).\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 37\/5*x**2 - 51\/5*x + 3*x**3 - 1\/5*x**4 + 0 = 0.\nAnswer: -3, 0, 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*m - 28*m - 24*m.\nAnswer: -79*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1091 + 1792. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-6))\/(115\/28060)*(-15)\/20?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1209 divided by -13\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 7*r**2 + 4*r - 6*r + 5 + r**3 + 0*r. Is v(-7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**3 + 6*r**2 + 10. Let p be t(6). Suppose 8 = -2*z + p. Does 5\/6 = z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 59246?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 22145595 divided by 3\nAnswer: 7381865","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2052*-0.447.\nAnswer: -917.244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -454*k = -457*k + 3*t, 4*k = -3*t + 28 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 47034 and 39?\nAnswer: 47034","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 3 (b) 1 (c) 9 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*b + 14 = -15. What is the third biggest value in -0.8, b, 7?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-1\/9)\/((g*g**(-5)\/g)\/g)*g**(4\/3)*g**(1\/3) assuming g is positive.\nAnswer: g**(68\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(1573) - (sqrt(1573) - -1*sqrt(1573))) + -5 + 1 - (2 + (-2*sqrt(156)*3)\/(-1*1*sqrt(12) - sqrt(12))).\nAnswer: -14*sqrt(13) - 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 26 - 6. Let s(h) = -2*h**2 + 4*h - 4. Let d(m) = -88 + 29 - m + 34 + 0 + 26. Determine k*d(w) + 5*s(w).\nAnswer: -10*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - k - 3*k - 76 = -2*h, 1258 = -31*k - 6*h - 3*h for k.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 2*i + 224 = 7*i, 0 = -5*h - 2*i + 518. List the prime factors of 14\/(-35) - h\/(-5).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 693307 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 682?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -16*r + 6*r + 5*r - 7*r - 6*r. Let h(z) = 4*z + 4. Calculate n(h(u)).\nAnswer: -72*u - 72","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -4342 (base 6) in base 14?\nAnswer: -514","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 249840031 to the power of 1\/5, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 12\/48*(51 - -9). What is the third biggest value in 0.16, 2\/25, h?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the third derivative of i**8\/1680 - i**6\/90 + i**5\/30 - 8*i**2. Let n(x) be the third derivative of q(x). What is the derivative of n(r) wrt r?\nAnswer: 24*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**3 - 8*f**2 - 9*f - 1. Let u = 16 - 7. Let h be a(u). Is 13 a factor of (4 + h)*52\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -27 + 27. Solve -5*c + 7 + 8 = i for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -261652.9 * -0.08.\nAnswer: 20932.232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, g: 2, e: 7}. Give prob of picking 2 g.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -169 divided by 13\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1066 is divided by 674.\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1330*a**2 - 3790 - 1301*a**2 - 567*a**2 + 421*a**2 + 673*a**2 wrt a.\nAnswer: -4208*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -29 - -32. Let n be (306\/12)\/((-6)\/(-8)). Suppose g = x*g - n. Calculate the greatest common factor of 85 and g.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -13*s + 27. Let d be w(-8). Suppose 46 = -17*i + d. Solve 10 - 30 = -i*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**3 - 30*j**2 + j + 36. Calculate o(-30).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the first derivative of -3*w**5\/5 - 183*w**3 + 6244*w - 4085. Differentiate m(b) with respect to b.\nAnswer: -12*b**3 - 1098*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -2*g + 2. Let m be u(5). Does 5 divide (-102)\/m - (-4)\/16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**2 - 10*w - 15. Let l = -6 - -8. Suppose 3*f + l*f - 35 = 0. What is the least common multiple of d(12) and f?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 374 and 102.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -34*g + 25*g. Suppose s + 3 = 2*f, 5 + 2 = g*f - 2*s. Is 1 smaller than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -425 and 669?\nAnswer: -284325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -12011331 (base 4) in base 7?\nAnswer: -132522","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 65332 and 92?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*g**4 + 1020*g**3 - 54020*g**2 + 204000*g - 200000.\nAnswer: -5*(g - 100)**2*(g - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 885780 and 2263660?\nAnswer: 20372940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 9*w - 3. Calculate x(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.8 + -0.4. Let r = -5 + 8. Let h = r - 3.2. Put h, g, 0 in ascending order.\nAnswer: h, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 756241.2 years?\nAnswer: 75624.12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -782, -794, -806?\n\"Answer: -12*b - 770","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 7*h + 7. Let z be i(-6). Suppose 122 = -4*p - 3*s, -17*s + 12*s = -30. Let c = z - p. Solve -q + 0 + 1 = c for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the third derivative of x**5\/40 - x**4\/16 - x**3\/2 - 2*x**2 - 54*x. Factor c(a).\nAnswer: 3*(a - 2)*(a + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from osyyposooooyys. What is prob of sequence osy?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 - (3 - 34) - ((16 - 6) + 2).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2769.707 days to nanoseconds.\nAnswer: 239302684800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 466256837 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 5*y = -49, 2*q - 4*y = q + 26. Suppose k - q = -3. Suppose -8*o - k = -7*o. Sort o, -4, 4 in decreasing order.\nAnswer: 4, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 10904, 10902, 10900, 10898, 10896, 10894?\n\"Answer: -2*l + 10906","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-26)\/((7\/(-154))\/((-2)\/(-8)))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (8 - (3 - -2))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 1555120.917 milliseconds?\nAnswer: 0.0025712978125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**3\/2 - 72471*s**2\/2 - 362505*s.\nAnswer: 3*s*(s - 24167)*(s + 10)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes before 9:30 AM?\nAnswer: 8:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/(-28) - 6\/7. Let g(q) = -42600001*q**3 - 2*q**2 - 9*q - 8. Let k be g(d). Round k to the nearest one million.\nAnswer: 43000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-1\/3))**41\/(c**5\/((c*c*(c**(-2\/13)\/c)\/c)\/c)))\/((c**2)**(-5\/7))**(-13) assuming c is positive.\nAnswer: c**(-10481\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2.35141*-8\nAnswer: 18.81128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 3*l + 35 = -2*l, -l - 5 = 0. Factor 1\/4*h**3 + 0 + 1\/4*h**i + 0*h.\nAnswer: h**2*(h + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -3*y**2 - 15981*y + 79980 = 0.\nAnswer: -5332, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -243296.021 - -243162. Let l = q - -134. Round l to 2 decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eree when four letters picked without replacement from {e: 3, o: 2, r: 1, k: 1}.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i**2 + 3108*i - 3104 = 0. Calculate i.\nAnswer: 1, 776","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -22*r - 1. Let m be g(0). Let k = -4 + 3.6. What is the biggest value in m, k, 1, -0.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9427 + 9291.73. What is j rounded to the nearest 10?\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + 1 + 82 + -88.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**2 - b + 3. Let p be a(-3). Let v = 0.1 - 0.1. Let l = 0.2 + -0.1. What is the nearest to l in v, -1, p?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3774849, 3, -4 in descending order.\nAnswer: 3774849, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the second derivative of a**5\/20 - a**4\/3 + 2*a**3\/3 - 4*a**2 + 3*a. What is the remainder when 71 is divided by u(5)?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 78*c + 54. Let m(f) = 5*f + 3. Let r(s) = 72*m(s) - 4*y(s). Let v(p) be the third derivative of -p**4\/4 + 8*p**2. Determine v(r(d)).\nAnswer: -288*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/14 and (-3)\/9 + 199*(-10)\/420.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-4*(sqrt(190) - (-1*sqrt(190)*-2 - sqrt(190) - sqrt(190))))\/(-3*(sqrt(360) - -6*2*sqrt(360))).\nAnswer: -2*sqrt(19)\/39","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2729 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 32*x + 136. Let n = -7385 + 7381. Determine y(n).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 0.234047\nAnswer: 0.234047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 106414?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 4*v**2 + 3*v. Let u(h) = 5*h**2 + 2*h. Let r = -13 + 16. Let z(n) = r*u(n) - 4*g(n). Find the second derivative of z(c) wrt c.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9.96 - 10. What is m rounded to two dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 2*x**2 + 5*x + 4. Let k be c(-2). Let f = -3 + 5. Let m(g) = 2*g**k + 7*g**2 - 10*g**f. Let j(t) = -2*t. Determine j(m(q)).\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -13*a - 9. Let z = 294 + -291. Let u(m) = -6*m - 4. Calculate z*v(w) - 7*u(w).\nAnswer: 3*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2583237 by -67.\nAnswer: 2583237\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 529221 is divided by 1680.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*s**2 + 3*s**2 + 2*s**2 + 2*s**2 - 6*s**2 + 3*s**2 - 5*s**2 + 3*s**2 + 4*s**2 + (3 + 2 - 7)*(-s**2 - s**2 + s**2).\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the first derivative of l**2\/2 + 1. Let w(m) = -28*m + 54. Let f(p) = -55*p + 126. Let h(a) = -3*f(a) + 7*w(a). Calculate x(h(t)).\nAnswer: -31*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54239015?\nAnswer: 5, 19, 570937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 3*y + 15, 2*y - 2*p - 3 + 13 = 0. Let c = y + 12. What are the prime factors of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/55)\/((-1317)\/4390).\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 0 + -1 - (89 - 99).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = -2*l - 10, 26 = -4*z + 2*l. Let h be z\/36 + 63\/(-4). What is the common denominator of ((-1)\/5)\/(h\/246) and 95\/6?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = 482*b - 477*b - 330053, 0 = -2*r + 12. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*k**2 - 15*k**2 + 40*k**2 - 15*k**2.\nAnswer: -10*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 2*t = 147, j = -j + 2*t + 56. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**3 - c**2 + 1. Let x be s(-2). Suppose 4*t = -0*t - 4*j + 4, 3 = -t - x*j. Let o(l) = 1 - 2 + l - l**3 + 4*l**2 - t*l. Calculate o(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:48 PM and 9:34 PM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -1\/6*o**5 - 13\/6*o**4 + 0 - 71\/6*o**2 - 5*o - 53\/6*o**3 = 0.\nAnswer: -6, -5, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/7? (a) 20\/7 (b) 4\/7 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 + 3)*(2*j - 2*j + 3*j).\nAnswer: 6*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p - p + 2*p)*(4036*p - 15252 + 15252).\nAnswer: 4036*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ve when two letters picked without replacement from {m: 8, v: 6, a: 3, e: 1}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 14*s**2. Let x(d) = -1 + 737*d + 3*d**2 - 737*d + 7*d**2 + 17*d**2. Calculate a(x(h)).\nAnswer: 10206*h**4 - 756*h**2 + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 2) in base 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -55*k**3 + 51*k**2 - 5*k. Let l(r) = 11*r**3 - 10*r**2 + r. Give -2*h(s) - 11*l(s).\nAnswer: -11*s**3 + 8*s**2 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -2*x. Let s(y) = 30*y. Give 28*c(d) + 2*s(d).\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -449*p**3 + 1 - 1 + 451*p**3.\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 5*r**2 - 1. Let z(b) = -2*b - 22. Let l be z(-10). Give k(l).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -229837986*v**2 + 792768620*v wrt v?\nAnswer: -459675972","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2563927464 rounded to 2 decimal places?\nAnswer: -0.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 - -3. Let k(r) = -2*r. Let a(z) = -z + 1. Let t(c) = y*k(c) + 3*a(c). Let v(g) = -2*g**3 - 4*g**2 - 2*g. Let f be v(-2). Give t(f).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**2 - 17*g - 75. Let l be u(-8). Let y = -15 + 17. Sort y, -6, l, 3.\nAnswer: -6, l, y, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 - 10*s**2 - s - 6. Calculate l(-10).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (0 - 1) - (49 - 48)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 179684 divided by 4.\nAnswer: 44921","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 30\/(-4)*2\/(-3). Let c = a - 1. Let d = 30 - 5. Solve 0 = c*f + f + d for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1 + 30*w**3 + 20*w**2 + 7 - 6 + 20*w**4 + 5*w + 5*w**5.\nAnswer: 5*w*(w + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -5*o**3 - 32935*o**2 + 98870*o + 131800 = 0.\nAnswer: -6590, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 161\/3 - 54. Let s = -44\/3 - -43\/3. Which is the nearest to n? (a) s (b) 4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15448 - 15311. Suppose -t + 41 = j, -4*j - 52 = -5*t + 3*t. What is the remainder when b is divided by t?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 4*x**4 - 8652*x**3 + 6220692*x**2 - 1474095780*x - 9070393608 = 0.\nAnswer: -6, 723","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -484\/7881 at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1281, -5144, -11581, -20592, -32177, -46336, -63069?\nAnswer: -82376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 5, d: 14}. Give prob of sequence dn.\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -36*-0.071\nAnswer: 2.556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3959.82 + -3960. Put 0.1, -3\/7, 2, a in decreasing order.\nAnswer: 2, 0.1, a, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 50\/(-300) - (-343)\/168?\nAnswer: 15\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 958566075 and 75?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/42*-7*3\/18?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*(q*q**4\/q*q)\/q)\/q**(-1)*(q**16*q)\/(q**(-3\/4)\/q) assuming q is positive.\nAnswer: q**(99\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32101629?\nAnswer: 3, 7, 23, 66463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**3 + 2*u**2 - u + 2. Let w be a(2). Let y(t) = -t**2 - 3*t - 6. Let z(v) = -4*v**2 - 14*v - 22. Let n(q) = 9*y(q) - 2*z(q). Give n(w).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 (base 11) in base 4?\nAnswer: -203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2866 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*o**2 + 0*o**2 - 3*o**2 + 2*o**4)*(-943 - 268 + 1774).\nAnswer: 1126*o**4 + 563*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 644?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 15454435, 15454429, 15454423, 15454417, 15454411, 15454405?\n\"Answer: -6*f + 15454441","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -6*b - 69. Let v(x) = x + 16. Let s be v(b). Solve 0*r + 4*r + s = 4*k, -2*r = 3*k - 1 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 11004?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, -1, 1, 7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 5*w**3 - 52*w**2 - 2*w + 6. Let j(o) = 12*o**3 - 105*o**2 - 4*o + 13. Determine 13*a(z) - 6*j(z).\nAnswer: -7*z**3 - 46*z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/(-22) + (-12)\/(-66). Factor -15*g**3 + 21*g + 34*g - 28 - 2 + n - 15*g**2 + 5*g**4.\nAnswer: 5*(g - 3)*(g - 1)**2*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.04 and -1582 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:53 AM and 4:24 AM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5)*-4 + -5 - (sqrt(5) + 4*sqrt(5) + 1))**2.\nAnswer: 108*sqrt(5) + 441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the second derivative of b**5\/20 - b**4\/12 + b**3\/6 - b**2 + 2*b. Let z be t(2). Solve -2*s = -3*m - m - 2, -4*s + 12 = -z*m for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 28 = -4*r - 5*k, -2*r - 10 = -5*k. Suppose 3*b - 5*b + 24 = -5*n, r*b + n = 33. Calculate the lowest common multiple of 3 and b.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 + -6. Suppose 0 = 2*h - 1 + v. Sort h, -3, 5.\nAnswer: -3, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 13) to base 8.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 34 and 4491502.\nAnswer: 4491502","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000009533 rounded to seven dps?\nAnswer: -0.0000095","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 6720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -7*w**2. Let n(t) = 2 - 2 + 67*t - 65*t. What is b(n(g))?\nAnswer: -28*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -3*d - 1. Let q(c) be the first derivative of -8 + c + 3\/2*c**2. What is 6*o(s) + 5*q(s)?\nAnswer: -3*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7875?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand l**3 + 6*l**3 - 5*l**3 - 5*l**2 + (2 + 4*l**2 - 2)*(2*l - l + l).\nAnswer: 10*l**3 - 5*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 18869424\/288 + 1\/6 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times 1\nAnswer: 0.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-45)\/(-36))\/(18*(-10)\/264).\nAnswer: -11\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12 + 14. Solve 2*o + 20 = 2*v, p*v - 51 = 5*o - 16 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 1581*u**2 + 911*u - 2. What is the ten thousands digit of m(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 smaller than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17047 to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8.387 + 1.682. Let m = n - -6.724054. Let d = m - 0.019. Round d to 5 dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 916921 times -15?\nAnswer: -13753815","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 + 177 - (-56 - -167).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (((-4)\/(-6))\/(-2))\/(-18*(-6)\/2592)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 2 - 2)*(-1386*p**2 + 220029*p - 220029*p) - p**2 + 4*p**2 - 4*p**2 to the form r*p**2 + d*p + s and give r.\nAnswer: 4157","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4573 or 13723\/3?\nAnswer: 13723\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**2 - 17*u - 47. Let k be s(-12). Let o = k - 187. Is 115 greater than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 178 divide 2497821?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1618 - 1617.4. Let y = 8 + -4. What is the smallest value in y, c, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 7, o: 4, s: 2, z: 1, w: 4}. What is prob of picking 2 w?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**2 + 4*h + 11. Let z = -17 + 37. Is v(z) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 26 + -1d79?\nAnswer: -1d53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) -2.1 (c) 0 (d) 0.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 89463 <= 178927\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5893694.\nAnswer: 2, 281, 10487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence stf when three letters picked without replacement from {f: 1, t: 9, s: 1, m: 7, i: 1, r: 1}.\nAnswer: 1\/760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18 + -18.5. Let i = 28276 + -196719\/7. Let y = i - 173. What is the closest to y in -2\/21, -5, r?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 17 in -3, -3\/10, 71845?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 n when two letters picked without replacement from heeenhhhhneeheehne.\nAnswer: 8\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -574 - 3948 = -17*j. Calculate the remainder when j is divided by 30.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2\/5 (b) -114.3 (c) -1\/8 (d) -0.5 (e) -258 (f) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times 92112?\nAnswer: -18422.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -84.446 to the nearest ten.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (126\/4 - 240\/(-480))*1\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-4)\/(-6))\/(9\/(-54)). Let x be (k\/(-6)*12)\/2. Let n = 127 + -91. What is the highest common factor of x and n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*(n**(-1\/5)*n)\/n*n)\/(n*n**(-2\/9))*(n*(n*n**0)\/n*n*n)**31 assuming n is positive.\nAnswer: n**(4231\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkkv when four letters picked without replacement from {v: 3, k: 3}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*j**4 - 130*j**3 + 1500*j**2 - 2590*j + 1225.\nAnswer: -5*(j - 7)*(j - 1)**2*(j + 35)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 611846676 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/39)\/((914\/(-11882))\/(1\/38)).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1876 and 224?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, 4, 46 in decreasing order.\nAnswer: 46, 5, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 16551?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.363 take away -564?\nAnswer: 579.363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 117*i + 117*i - 231*i - 1 - 8. Let p = 7 - 4. Solve -3*k - 12 = p*o, 0 = -2*o + 2*k - i*k - 4 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2917907162?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 31495854983 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - (-3 + 8 + -10).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -627760975.7 rounded to the nearest 100000?\nAnswer: -627800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2370900451 to the power of 1\/3, to the nearest integer?\nAnswer: 1333","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*n = 8*n + 5. Let u = 5 - n. Suppose 260 = 5*j + 5*c, 2*j = -u*c - c + 101. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**3 - 2*d**2 - 3*d. Let t be o(4). Let i = t + -35. Let c = -17 - i. Sort 3\/5, c, -0.3.\nAnswer: c, -0.3, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17249 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 36 + -36. Let d be 1 - ((j - -2) + -3). Suppose 8 + 2 = d*a, 91 = 3*g + 2*a. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-96)\/112 - (-7097)\/9513?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 17823?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 8 = -2. Solve -4*o - 45 = -5*v, 2*v + o + 3*o + s = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002057513843 to four decimal places.\nAnswer: 0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes before 4:31 PM?\nAnswer: 12:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05054658 rounded to 5 decimal places?\nAnswer: 0.05055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3283182912 a multiple of 1312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2585?\nAnswer: 5, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/105 and 11\/24.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 25.8 times 3?\nAnswer: 77.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -540*y - 535. Let b be c(-1). Solve -4 = -k, -8*s + b*s + 4*k - 19 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 124*u**2 - 14*u + 7. Let p(j) = -45*j**2 + 5*j - 3. Let h(d) = 11*p(d) + 4*r(d). Suppose 0 = -4*s - 4*v + 8, -4 + 0 = -2*v. Determine h(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.3 (b) -7 (c) 3 (d) -29\/5 (e) 0.1 (f) 4 (g) 346\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -97 - 63. Let l = q + 164. Solve 4*a - v = 12, l*v - 2 = 3*a + 2 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1331302171 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*m + 0 + 0)*(2*m - 2*m + m) + 117*m**2 + 14196*m + 35*m**2 - 14195*m + 3 to h + w*m**2 + d*m and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the first derivative of -o**2 + 1. Let q(v) = -17*v. Let d(n) = 70*n. Let p = -6 + 15. Let t(l) = p*q(l) + 2*d(l). Calculate t(w(b)).\nAnswer: 26*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 48 and (-1)\/(-1) + 4\/(4\/11).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 = -6*m + 3 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 + 163*d**2 - 1100703220*d + 1100703220*d.\nAnswer: 163*d**2 - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, h: 3, y: 4, l: 2, k: 1, o: 1}. What is prob of picking 1 h and 3 y?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhfffh. Give prob of sequence hhh.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/4 + (-21)\/28. Let f be (u - (0 - 0))\/(2 - 1). Solve -2*k - k + 6 = f for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, 4, -436 in increasing order.\nAnswer: -436, -5, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**2 - 6*o + 3. Suppose 0 = u - 3*x + 16, -x = 4*u - 6*x + 43. Let h be g(u). Let w = -751\/8 + h. What is the nearest to -1 in w, -1, 2\/11?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -43*h**3 + h**2 + h - 1. Let s be c(-1). Calculate the greatest common factor of s and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -43*n**2*t**5 - 18*n**2*t**3 - 2*n**2*t**2 - 26*n**2 - 5*n*t wrt t?\nAnswer: -2580*n**2*t**2 - 108*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, c: 4, e: 6, i: 3, w: 1, n: 4}. Give prob of sequence ne.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 186186741 to the power of 1\/2, to the nearest integer?\nAnswer: 13645","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 - 4. Let x be (-44)\/20 - (3 + 64\/(-20)). Sort -1, p, x in ascending order.\nAnswer: x, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (38\/9 - 4) + (-122)\/(-18). Solve 4*n - 6 = -5*f, -f = -4*n - n - s for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5\/(-30) + (-935)\/6. Let s be (-15)\/13 - 24\/a. Sort 2, s, 3 in ascending order.\nAnswer: s, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33367 is divided by 33164.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**2 - 5*b + 4. Let n be y(5). Let d(a) = -a + 3. Let q be d(n). Is 381*(q\/1)\/(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z - 39*t - 1609 = 0, -5*t + 300 = 4*z + 513 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 431299 is divided by 100.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 33045*m**2 - 52487*m.\nAnswer: 66090","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**2 + 5*k. Let l(a) = -10*a**2 - 31*a - 6. Give -l(f) - 6*u(f).\nAnswer: 4*f**2 + f + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -72*f**2 + 90*f - 89. What is t(1)?\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69 = -24*q - 213 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 4 + -5 - (-6 + 14 - 4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1548582, 1548202, 1547822, 1547442?\n\"Answer: -380*s + 1548962","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -230 from -13295.\nAnswer: -13065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55 is divided by 29.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 113 divide 3869572?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1*(2 + 5) - -2. Let n be (-10)\/25 + (-487)\/k. Suppose 3*q - n = 4*r - 6*r, 0 = 2*q - 4*r - 54. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 3\/13, -1\/6, -3?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6160 divided by -127.\nAnswer: -6160\/127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - 0*q - 20. Let g(p) = 1 - 3*p - q + 3 - 4*p**2 - p**3 + 0. Let m be g(-3). Is -1\/2 at least as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qw when two letters picked without replacement from olooowuq.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 190770321 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: 0*288\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is e875 (base 15) in base 12?\nAnswer: 24548","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 + -11. Let a = h + 16.75. What is a rounded to one dp?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, q: 3, a: 2, w: 4, d: 3, p: 2}. What is prob of picking 2 p?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the second derivative of -49*v**4\/12 - 53*v**2\/2 - 2*v - 36. Let m(k) = 1. Let h(o) = -f(o) - 5*m(o). What is the derivative of h(l) wrt l?\nAnswer: 98*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 1*(3 + (sqrt(2736) - (1 + sqrt(2736) + sqrt(2736))) + -2*(sqrt(2736) + sqrt(2736) + -2*sqrt(2736)) + -3) + 5)**2.\nAnswer: -96*sqrt(19) + 2752","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 1, 213\/404, -0.5.\nAnswer: -0.5, 213\/404, 1, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4529243 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*y**2 + 20*y**2 - 12*y**2 + (y + y + 0*y)*(-2 + 2 + y) - 3 + 3 + 2*y**2 + y**2 - 2*y**2 + 3*y**2 to u + x*y + s*y**2 and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 39, 31, 19, 3, -17?\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 171862 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -1678062?\nAnswer: 2\/839031","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**2 + 162*o - 3230. Calculate f(18).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*w**5 - 342712*w**4\/7 - 107274*w**3 + 16316*w**2 + 457080*w\/7 - 9328 = 0 for w.\nAnswer: -2, -1, 1\/7, 2\/3, 8162","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8729 and 738224.\nAnswer: 1247","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16283\/1588 - -3\/794. What is the common denominator of -9\/2 and j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**2 - 2*t + 3118. Let f be b(0). Let s = 2887 + f. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60)\/(-4*-1*sqrt(12)) - -5*(2 + sqrt(80) + sqrt(80)))**2.\nAnswer: 805*sqrt(5) + 131205\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 264071 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3274.8 + -3277.8. Sort k, 0.4, 2, -228 in descending order.\nAnswer: 2, 0.4, k, -228","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -12 (b) 2\/15 (c) -0.1 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8875 divided by -1775?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15757?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -6 - 2 + 5 + 4*r. Let l(y) = -8*y - 6. Let f(p) = -7*p - 5. Let a(o) = 7*f(o) - 6*l(o). Let q(z) = 3*a(z) + k(z). What is q(-4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80*z + 127 = 81*z. Let h = z - 54. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the second derivative of i**8\/2240 - i**7\/840 + 7*i**4\/12 - 6*i. Let q(t) be the third derivative of f(t). Factor q(z).\nAnswer: 3*z**2*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27170186 is divided by 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 26\/243 and 71\/396.\nAnswer: 10692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*f + 9 = 33*f. Let z(m) = m**2 + 5*m + 4. Let r(w) = 4*w - w - 2*w + 1. Let y(i) = f*z(i) - 15*r(i). Factor y(a).\nAnswer: 3*(a - 1)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*x + 3 = 5*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2110201 - -5?\nAnswer: 2110210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 g when four letters picked without replacement from ggguguguguuu.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3027, -3144, -3261, -3378, -3495?\nAnswer: -3612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xexogooxnegognen. What is prob of sequence eoon?\nAnswer: 9\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) 3\/64 (c) 66\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:02 PM and 4:54 AM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 7, 2, -2.\nAnswer: -2, -1, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the second derivative of -21\/2*p**2 + 203\/6*p**3 - 130*p + 0. What is the first derivative of g(a) wrt a?\nAnswer: 203","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 l, and 2 g when four letters picked without replacement from {l: 2, f: 1, q: 2, j: 1, g: 2, s: 1}.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*f = -140*f. Put -1\/6, -89, f in decreasing order.\nAnswer: f, -1\/6, -89","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 8 - i + 7*i - 3*i - 4*i. Let z be u(4). Solve -4*h - z*n = 11 + 1, -16 = -4*h + 3*n for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (5 + 0) - (5 + (-1 - 0))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 213, 198, 141, 18, -195, -522, -987?\nAnswer: -1614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does -107740 = -107742?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 245 is divided by 16.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73 + 92 = 15*m. Let r be -2 + 4 + -1 + 46. Let j = r + -14. What is the highest common factor of j and m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 - 8833\/6*y**3 - 62*y**4 - 2\/3*y**5 - 1426*y**2 - 1058\/3*y = 0. Calculate y.\nAnswer: -46, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 525 by -181.\nAnswer: -525\/181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**3\/5 + 12*a**2 + 58*a\/5.\nAnswer: 2*a*(a + 1)*(a + 29)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -2*b**2 + 17*b + 6. Let g be d(8). What is the highest common divisor of 154 and g?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-24864)\/(-4884))\/(112\/(-2156))\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8\/(1 + 1) + (-21)\/21. Factor -2\/3 + 2\/3*k**2 + 2\/3*k - 2\/3*k**o.\nAnswer: -2*(k - 1)**2*(k + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1671 and 219458?\nAnswer: 557","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*z + 16*z + 3*z)*(-4*z**3 + 4*z**3 + z**3) + (1 - 2 - 1)*(0*z**4 + 4*z**4 - z**4) + (-3 - z**3 + 3)*(-3*z + 2*z + 2*z) - 4*z**2 + 4*z**2 - 2*z**4.\nAnswer: 17*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l - 2. Suppose -2*n = -4*i + 2, 3*i = -0*n + 4*n - 6. Let j(z) = -3*z - 5. Let v(y) = i*j(y) - 5*t(y). Let a(k) = -21*k**2. Calculate v(a(o)).\nAnswer: 21*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 11 + 10 - x - 21. Let p(y) = 42*y - 36. Let f(d) = d - 1. Let m(q) = -36*f(q) + p(q). Calculate m(b(z)).\nAnswer: -6*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 80 and 144?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -61 - -5445?\nAnswer: 5354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 0*z + z + 3 + 0*z. Let s be n(0). Suppose 2*o + 3*c + 7 = -0*c, 11 = 2*o - 3*c. What is the closest to 2\/7 in o, 2\/9, s?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -11*v**2 - 7223*v - 47659. Give t(-650).\nAnswer: -209","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -2390*d**2 + 9533*d + 3. Give o(4).\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -516616*c*s**3*u**2 - 2*c*s*u - 49*s**3*u**2 + 166*s**2 - 5*u**2 - 24*u wrt c?\nAnswer: -516616*s**3*u**2 - 2*s*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -10322630 divided by -44881\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2200 and 99?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 27413 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 2*h**2 - 12*h - 9. Let w be a(7). Suppose 114 = 5*t - 3*s + s, -5*t = -w*s - 120. List the prime factors of t.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*b - 149 - 1 = 0. Is 2 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/5 (b) -16 (c) -0.1 (d) 0.5 (e) -3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59746574?\nAnswer: 2, 2213, 13499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -22183*u**2*z**2 + 310*u*z**2 + 14943*z**2 + 154 wrt u.\nAnswer: -44366*u*z**2 + 310*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -659*p**2*y**3 - 3*p**2*y - 19*p**2 + 2*p*y**2 wrt y.\nAnswer: -3954*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 66 and 330.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 303922568+-0.36\nAnswer: 303922567.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1\/3)*l)**(2\/17)\/((l*((l\/(l\/(l*l**1*l)))\/l)\/l)\/(l*l*l\/l**0)) assuming l is positive.\nAnswer: l**(55\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -48 - 116048051*j + 2*j**3 + 116048078*j - j**3 to the form b*j**3 + p + h*j**2 + v*j and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, y: 1, l: 2, k: 5, h: 1}. What is prob of picking 1 k and 1 l?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (3925\/(-550))\/(-1)\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 + 99 - 100) + -3 + 0 + 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00173 rounded to 4 dps?\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 7768448556 - -26.188\nAnswer: 7768448582.188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h**2 - 2*h**2 + h**2)*((-3 + 1 + 1)*(0 + 1 + 1) - 210 - 6 - 229).\nAnswer: 447*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3a8 - -14?\nAnswer: 3bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 162.6068l in millilitres?\nAnswer: 162606.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/35 and 76\/2625?\nAnswer: 2625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 n when two letters picked without replacement from {g: 1, u: 1, r: 2, y: 1, h: 2, n: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 not equal to -193\/54391?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2541 + -130?\nAnswer: -3001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3349 to the power of 1\/2, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -23 - -20. Is s at most -0.07?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2))**(-30) assuming y is positive.\nAnswer: y**60","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*f = -31*f - 11240. List the prime factors of f.\nAnswer: 5, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*c + 1649 = -951. What are the prime factors of c?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (16 + -12)*(-25)\/(-4). Let z = 108 - h. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 62 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2655101845?\nAnswer: 5, 11, 89, 251, 2161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 428 = 4*v, 3*n = -3 + 6. Round v to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -39.1 at most -1060.61?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 54218488?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 4382 = 5*h, 20*g - 16*g + 3*h = 5833. Let y = g - 1036. Calculate the highest common factor of 9 and y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 218a4 (base 12) to base 3.\nAnswer: 2021000021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 780\/650*(5 - 15)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9923 to the power of 1\/2, to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4*b**2 + b**3 - 4*b**2)*(-b**2 + 2*b**2 - 3*b**2) - 17 - 9*b**5 + 17)*(-3 - 9 + 1).\nAnswer: 121*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -177309*h**3 + 17*h**2 - 33205821*h wrt h?\nAnswer: -1063854*h + 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 83783?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**3\/7 - 396*p**2\/7 + 16536*p\/7 + 44944.\nAnswer: 2*(p - 106)**2*(p + 14)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4520 = -145*b - 1475 for b.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(170) + -2*sqrt(170)*4 + -3*4*sqrt(170))\/((sqrt(10) + 4*sqrt(10)*-2 - sqrt(10)) + (-4*sqrt(120) + sqrt(120))\/sqrt(12)).\nAnswer: 19*sqrt(17)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*f**2 - 9*f**2 + 7*f**3 - 2*f to m*f + a + g*f**2 + p*f**3 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 + 3 + 4 + (-237)\/27. Let y = 4 + -3. Suppose 0 = -g - 0*g - y. Is g at most as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - (12 - 1) - (1 - -6)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33507428 is divided by 219.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k + 4. Let g be r(-3). Let o be (-2)\/g - (-2 + 4). Sort -3, o, 1 in decreasing order.\nAnswer: 1, -3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**2 - 42864*z.\nAnswer: 4*z*(z - 10716)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1329, 2759, 4191, 5625, 7061, 8499?\nAnswer: 9939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*a - 95 = -0*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 104 + -109. Let q(l) = -2*l + 2 + 3*l - 2*l. What is the units digit of q(b)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 784944?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vtvssrsvsstvrrvsssss. Give prob of picking 1 v and 1 s.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 62631119?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**2 + 39*a - 328. Let n be f(12). Let i(r) = -r**3 - 5*r**2 - 3*r - 3. Calculate i(n).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3158 or -3150?\nAnswer: -3150","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/(-24)*92944\/(-7888622)?\nAnswer: 2\/291","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, d: 8}. Give prob of sequence da.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve n = -5*h + 2*n - 15, 0 = 2*h + 5*n + 6 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from cwizcwiicirrrizwri?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000124699959 rounded to six dps?\nAnswer: -0.000125","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven quarters of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4508291 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 47846633 to the nearest integer?\nAnswer: 363","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 274401 * 3.\nAnswer: 823203","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(8) - sqrt(72)\/sqrt(9))*3)\/(sqrt(16)\/sqrt(4)*3 - (sqrt(64) + (sqrt(64) - sqrt(64)*1))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 345 + 534 = 0. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*v = 2*h + 8*v - 14, -h = 5*v + 14 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 - -8. Let z = -2.8 - j. Which is the nearest to 1? (a) 0.4 (b) 0.5 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, n: 4, h: 1, r: 3, l: 1, z: 1}. Give prob of picking 1 r and 2 n.\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.155 + 5.845. Which is the smallest value? (a) j (b) 2\/7 (c) -519\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.3 - -5.7. Let r = -104.05 - -107. Let f = 2.45 - r. Which is the closest to g? (a) f (b) 2\/9 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 22 and 1738?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 162635936609 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ydjy when four letters picked without replacement from cdyaycayyiij?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -13477 * -28\nAnswer: 377356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 2\/7 (b) 0.1 (c) -13 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - -0.1. Let r = -105\/2 + 54. Are r and n nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2887180 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 144488, 144154, 143820, 143486, 143152, 142818?\nAnswer: 142484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -2*z**2\/19 - 17924*z\/19 - 15560624\/19 = 0?\nAnswer: -7988, -974","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5357?\nAnswer: 11, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 6 = -3. Suppose 3*i - 4*v - 42 = -4, -p = -3*v. List the prime factors of i.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 534 and 10386834?\nAnswer: 534","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v\/v**(4\/7))*v**(-1))\/((v\/(v*v\/((v**(1\/5)*v)\/v)))\/v*v**(-1\/4)*v))\/((v**(-1\/2))**(-19))**(-4\/7) assuming v is positive.\nAnswer: v**(121\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r - 521 = -73. Let b = 104 + r. Solve -b = 5*d + 3*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 2*l**2 + 1 + (l + 32 - 32)*(-2*l + l - l) + (-7*l + 3*l + 2*l)*(3 - 3 + 4*l) to q + v*l**2 + f*l and give v.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/10 of a litre in millilitres?\nAnswer: 1700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2671, 10637, 23893, 42439?\nAnswer: 66275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 717880 a multiple of 215?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 129*i - 195. Calculate the remainder when l(2) is divided by 19.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in seven eighths of a kilometer?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 5*y**2. Let f(v) be the first derivative of 2*v**3 - 8. Calculate j(f(h)).\nAnswer: 180*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, -7, -5.\nAnswer: -7, -5, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 43 + 29. Calculate the greatest common factor of d and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -2*p - 4*p**2 + 5*p**2 + 2*p**2. Let n(l) = l**2 - 25*l + 160. Calculate the least common multiple of h(2) and n(15).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -34*((-19)\/22 + (51\/(-11) - -5)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 + 18 + 1 + -2 + 24 + -2.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -4*h. Let v(f) be the second derivative of f**5\/20 - f**3\/6 + 3*f**2\/2 - 3*f. List the prime factors of v(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.22066 to two decimal places.\nAnswer: -0.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 t when three letters picked without replacement from drttrrjwtttdwt?\nAnswer: 45\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 3 - 62 = -2*c, -2*g = -c - 34. Let o = g - -21. Suppose 0 = -5*z - l + o, 5*z + 4*l - 32 = z. What is the lowest common multiple of z and 4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -3*l**2 - l + 6. Suppose -4*x = -3*n + 1, -8*n + 46 = -5*n + 5*x. Let q(b) = -11*b**2 - b + 18. Let y(w) = n*f(w) - 2*q(w). Calculate y(6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -3*i**2 - 19*i + 52. Let u(n) = 4*n**2 - 3*n**2 - 4*n**2 - 17 + 7*n + 4*n**2. Let s(a) = 3*p(a) + 8*u(a). What is s(0)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*b**2*v**3 - 144*b**2*v**2 + 2*b**2*v + 17*b**2 + 170*b*v**3 + 3*b*v - b + 912*v**3 + 19*v wrt b?\nAnswer: 12*v**3 - 288*v**2 + 4*v + 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0, 4, -5, -1099, -10 in descending order.\nAnswer: 4, 3, 0, -5, -10, -1099","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*h - 3*h + 2*h. Suppose 473 - 2289 = -2*z + 5*p, h = -z + 3*p + 908. What are the prime factors of z?\nAnswer: 2, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.04599962 + -0.046. What is w rounded to seven dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -520863 divided by -377.\nAnswer: 520863\/377","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 318762.\nAnswer: 2, 3, 5903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the first derivative of -i**3\/3 - 5*i**2 + 3*i + 1. Is d(-8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 2747.3, 2\/15, -8?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9735 - 9730. Let r(p) be the second derivative of 0 + 2\/51*p**4 + 0*p**2 + 1\/51*p**3 + 3\/170*p**s - 16*p. Factor r(l).\nAnswer: 2*l*(l + 1)*(3*l + 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:42 AM and 12:07 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 40450300 to the power of 1\/2, to the nearest integer?\nAnswer: 6360","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 17, -8, -11 in descending order.\nAnswer: 17, -5, -8, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -3*u**3 - 2*u**2 + 7*u + 7. Let h(q) = q**3 + q**2 - 2*q - 2. Let m = 33 - 37. What is m*c(w) - 14*h(w)?\nAnswer: -2*w**3 - 6*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-133)\/(-7))\/((-2)\/(-2)). Suppose z = 3*f + 1. Suppose -30 - 24 = -f*w. Calculate the remainder when w is divided by 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**2 + 10*h - 21. Let i(v) be the first derivative of -13*v**3\/3 + v - 1. Let t be i(-1). Let m be s(t). Solve -4*q + q + m*o = 0, -2*o = -5*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 4*s = 243 - 89, 3*o - 2*s - 164 = 0. Suppose o*r - 54*r - 28 = 0. Solve 3*d - d - 2*l = -6, l + r = -d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the first derivative of s**7\/252 + s**6\/90 - s**5\/120 - s**4\/36 + 164*s + 19. Let q(d) be the first derivative of h(d). Factor q(j).\nAnswer: j**2*(j - 1)*(j + 1)*(j + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -167174 + 265425. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/((2 + -1)\/(34\/306))\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -756 divided by 29374?\nAnswer: -378\/14687","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7162?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 193 + 28 = 0. What is the remainder when h is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 260 and 728?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**2 - 3*f + 3. Let g be d(-4). Let b be (g\/3)\/(2\/212). Let n = -18576 + 18540. Which is smaller: b or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 6*j**2 + 32. Let a(v) = 11*v**2 + 56. Let h(r) = -4*a(r) + 7*f(r). Let y(s) = -10*s**2 - 4. What is h(y(t))?\nAnswer: -200*t**4 - 160*t**2 - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-180)\/(-8)*12\/10. Let b = 35 - p. Factor -h**2 + b*h**2 - 4 - 5*h**2 + 2*h.\nAnswer: 2*(h - 1)*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the third derivative of a**6\/60 + 37*a**5\/60 + 43*a**3\/6 + 68*a**2. What is the derivative of b(o) wrt o?\nAnswer: 6*o**2 + 74*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -v**2 - 2362*v - 1394761 = 0.\nAnswer: -1181","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the third derivative of -q**5\/60 - 5*q**4\/24 + 11*q**3\/6 + q**2. Let b be u(-6). Is b smaller than 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 4 = -4*m + 5*w, -4*m = -4*w. Suppose m*q - 2*j = 48, -4*q - 4*j = -3*j - 42. Calculate the highest common factor of q and 121.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 364505\/84 + -4339. Let b = 2\/21 - n. What is the smallest value in 3, 2, 1\/2, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/((o\/(o**3*o))\/o))\/(o\/o**(-1\/5)*o*o)*(o\/(o**0*o*o))\/(o\/(o\/(o*o*o**7*o))) assuming o is positive.\nAnswer: o**(-46\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 270 and 7605.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 2*i**3 - 2*i**2 + 6*i - 6. Let a be r(6). Suppose 4*j = -2*y + a, -4*j - 4*y = 142 - 534. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**2 + 5*q - 3. Suppose 0 = -5*y + 4*i + 23, 3*y + i = 4*i + 15. Let u be s(y). Find w, given that 0 + 1\/2*w**2 - 1\/2*w**4 - 1\/2*w + 1\/2*w**u = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 11 - 1)*(-30*u + 0*u - 2 + 2).\nAnswer: 540*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in seven halves of a meter?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*n + 8*n. Suppose 4*w - 102 + 50 = n. Solve -w = 3*l - 4, 2*o - 10 = 2*l for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*11\/(22\/5).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**2 - 3*d + 2. Let j be k(3). Suppose 1 = -j*u + 11. Solve 3*m + u = -4*y, -3*y = -7*y + 3*m - 35 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.3 and 10092.\nAnswer: 10092.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -202 + 376 - 297 - 25*o. Let t be m(-5). Let v(z) = 3*z**3 - z**2 + z. Give v(t).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (67 - 65) + (0 + 0 - 0 - (-49 + 52))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*h**3 + 4*h**3 + 0*h**3)*(5*h**2 - 3*h**2 - 3*h**2) + (-3*h**3 - 2*h**3 + 3*h**3)*(8*h**2 - 6*h**2 + 11*h**2 + (4*h**2 + h**2 - 3*h**2)*(-6 + 1 + 3)).\nAnswer: -17*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -376 - -230. Let s = l + 140. Let m = 4\/15 + -58\/105. What is the nearest to m in 1, s, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 35, 72, 119, 182, 267?\n\"Answer: y**3 - y**2 + 33*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76858*i - 76858*i + i**2.\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.31 + 13.\nAnswer: 12.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes after 10:34 PM?\nAnswer: 9:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 630, 1259, 1888, 2517?\nAnswer: 3146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 2*m. Let u(h) = -h**3 + 6*h**2 - 9*h + 67. Let r be u(6). Let g(j) = 1 + 21*j + 4*j - r*j + 0. Give t(g(p)).\nAnswer: 24*p + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 463623781?\nAnswer: 149, 3111569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the second derivative of -n**4\/12 + n**3 + 7*n**2\/2 - 3*n. Let u be l(6). Calculate the greatest common divisor of 63 and u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 97 divide 34087687?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 + 8. Suppose 8 = -3*h + 4*y, h + 4*y - 24 = -0*h. Suppose 3*p = h*p. Solve -r*n = -p*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/360696 and -113\/448.\nAnswer: 2885568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17.28 - 16. Let s = -38.9 + 37. Let p = c + s. What is p rounded to one dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oow when three letters picked without replacement from {o: 7, w: 2, b: 1}.\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*p = -4*d + 13*p + 1590, 5*p = 4*d - 1602. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6\/5 at most -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 27 + -10. Suppose 0 = -24*v - 53 - 139. Let u(k) = 7*k + 57. Let a be u(v). Calculate the greatest common divisor of a and y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**3 + 411*t**2 + 42840*t + 124848.\nAnswer: (t + 3)*(t + 204)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are -36.41 and 0.2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + i = -10, 2*d + 5*i = -2. Let f be 8\/36 - 2\/9. Suppose -n + 7 = a - 3, a - d*n - 5 = f. Solve 2*h + h = a for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -7429140, -14858220, -22287302, -29716386?\n\"Answer: -i**2 - 7429077*i - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -6405522 (base 8) in base 15?\nAnswer: -23aade","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4.221 + -4.521. Let r be 0\/(-5 - -1) + (-1 - 1). Which is the biggest value? (a) u (b) r (c) -1 (d) 2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 2*v + y = -164, 2*v = 5*y - 140. Let n = v - -88. Suppose -4*h + n = -6*h. Which is the nearest to -0.2? (a) -1 (b) 3 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1090143258 to the nearest integer?\nAnswer: 1029","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1532288.\nAnswer: 2, 11971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -2*m. Let v(g) be the second derivative of 13*g**4\/6 + 20*g. What is v(p(q))?\nAnswer: 104*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*l - 7*l - 25*l)*(-1 + 6 + 4)*(2*l + 1 - 1) to x + s*l**2 + z*l and give s.\nAnswer: -486","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 357321 to the power of 1\/3, to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) 3 (c) -180\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 15*r**2 - 60*r + 4. What is s(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 265*b**2 - 2669*b - 4. Calculate m(9).\nAnswer: -2560","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m + m - m)*(-36*m**3 - 33*m - 27*m**3 + 66*m**3).\nAnswer: 9*m**4 - 99*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k and 1 z when four letters picked without replacement from lpzrwlk.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 472 a multiple of 89?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -163\/42 and -11\/175.\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 27 - 43 = 0. Let y(q) = -3*q - 9. Let j(o) = 4*o + 9. Let d(a) = -4*j(a) - 5*y(a). Calculate the remainder when s is divided by d(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:40 AM and 1:31 PM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 115 divide 2725970350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 342611282.\nAnswer: 2, 13, 3359, 3923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - -6 - (22 - (-21 - (0 + -13)))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 14080 = 17*c + 3*c. What is the greatest common divisor of 1680 and c?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -3 - 7. Let h(t) = -1763*t**3 + t**2 - 3*t - 3. Let b be h(-1). Let y be (3\/6)\/(b\/440 + -4). What is the greatest common divisor of f and y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -16389, -65542, -147465, -262158, -409621?\n\"Answer: -16385*c**2 + 2*c - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -88 - -90. Suppose -3*r + 45 = z*u, 3*u + 3*r - 20 - 43 = 0. What is the greatest common factor of u and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 + 22. Let s be ((-5)\/20 - 0)\/(t\/8). Let y = 3.17 + -0.17. Which is the nearest to 0? (a) -0.2 (b) y (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1185*v - 25 + 68 - 43.\nAnswer: -1185*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 13344882?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14 + 12. What is the closest to 2\/5 in -2\/7, w, -0.3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the third derivative of 2413*l**7\/105 + 4363*l**3\/6 - 706*l**2. Find the first derivative of b(z) wrt z.\nAnswer: 19304*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -21*k**2 - 3*k. Let l be x(-2). Let f = -389\/5 - l. Let n = -6.3 - -6. What is the third biggest value in n, f, 4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18847*w + 121217 = -393275 - 500912 + 299218 for w.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d + 21. Let s(i) be the first derivative of -25*i**3\/3 + 5747. What is v(s(p))?\nAnswer: -25*p**2 + 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes before 1:46 PM?\nAnswer: 5:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 19251399 divided by -9\nAnswer: -6417133\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 14934672, 29869361, 44804050, 59738739?\n\"Answer: 14934689*d - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 67170381 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -s**5 - 18*s**4 - 77*s**3 - 60*s**2 = 0. What is s?\nAnswer: -12, -5, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -307 - -311. Suppose -3*l - t + 728 = 0, u*t + 726 = 3*l + 7*t. What is the tens digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 4*c. Let v(n) = 81*n**2 - 94*n - 106*n + 200*n. Calculate p(v(t)).\nAnswer: 324*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*3*sqrt(95)*-1*-1)\/(3*(sqrt(20)\/(sqrt(12)\/sqrt(3)) + sqrt(720)*-2)).\nAnswer: 3*sqrt(19)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/4, 4, 1\/5, -0.06, -3, -1\/26 in descending order.\nAnswer: 4, 3\/4, 1\/5, -1\/26, -0.06, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -34*s + 76. Let f be u(-26). Let d = -595 + f. Calculate the remainder when d is divided by 61.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4165 divide 144879525?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 64.38888 millilitres?\nAnswer: 0.06438888","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5950 - 6020. Put 3, w, 4, -5 in decreasing order.\nAnswer: 4, 3, -5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 2784?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 43*h + 127. Let u = -313 + 310. Let o be w(u). Put -1, -5\/7, o in ascending order.\nAnswer: o, -1, -5\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9808 - 350.\nAnswer: 9458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a centimeter in millimeters?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five quarters of a week in hours?\nAnswer: 1890","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2162 - 0.2?\nAnswer: -2162.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -694, -1420, -2148, -2878, -3610, -4344, -5080?\nAnswer: -5818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*t**3 - 5630*t**2 - 148495*t - 142870.\nAnswer: -5*(t + 1)*(t + 26)*(t + 1099)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (10 + 8 - 2)*(-2 - 1 - 1)*(3*g - 5*g + g) to the form y*g + i and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -100949?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 2*r - 2*z, -16*z + 12*z = -r - 2 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*o**2\/7 - 96*o\/7 - 1144\/7 = 0. What is o?\nAnswer: -26, -22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b*b*b**24\/b*b)*b**(3\/14))\/((b*b*b\/(b\/((b\/b**(-2\/49)*b)\/b*b)))\/b)**(9\/5) assuming b is positive.\nAnswer: b**(-14827\/490)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-36)\/48 + (-43)\/(-4). Suppose 4*i + j = -i, 3*z - 2*i = 196. Does 16 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -53883, -4, -0.1 in ascending order.\nAnswer: -53883, -4, -0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.1223 - -1085.8777. Let b = 1120.28 - w. Let g = -35 + b. Round g to 1 decimal place.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 - 0. Let m(g) be the first derivative of g**3 - 2*g**2 + 3*g - 1. What is the least common multiple of p and m(2)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -293 + 315. What is the greatest common divisor of 198 and c?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1433?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**2. Let r be q(-1). Let y = -0.07 - -9.07. Let j = -36.04 + 36.24. Which is the fourth biggest value? (a) j (b) -4 (c) r (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 385 + -383. Solve l*i - 2 = -21*s + 20*s, -4*i + 4 = 3*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1085 and 1087436?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 3892 = -135*a. Suppose 2*n + n - 7 = 4*b, -5*b = -10. What is the remainder when a is divided by n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53 is divided by 39?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3877885870?\nAnswer: 2, 5, 47, 157, 52553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 5) to base 12.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*m**4 + 97167*m**3 + 8*m**2 + 25*m + 616.\nAnswer: -48*m + 583002","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 821? (a) 0.1 (b) 5 (c) 2\/17 (d) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 211 - 206. Suppose p = h*f - 1955, 7*p - 3*p + 410 = f. Is 26 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 180 and 140.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -25310*k**2 - 10*k. Let x be n(4). What is x rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4105 - 5024330?\nAnswer: -5031435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 60614259?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 761943661 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 5454377 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**2. Let n(v) be the first derivative of -1\/6*v**4 + 0*v**2 + 0*v**3 + 1 + v. Let c(u) be the first derivative of n(u). Give c(r(s)).\nAnswer: -2*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 98*d. Let g be n(1). Suppose g = -h + 3*h. Let y(o) = o**3 + 34*o**2 + 56*o - 239. What is the remainder when h is divided by y(-32)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21977?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 - -5. Suppose 3 = b + f. Let q(o) = 3*o**2 + 9*o + 7. Does 23 divide q(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**4\/7 + 77224348*s**3\/7 + 231673032*s**2\/7 + 231673028*s\/7 + 77224342\/7.\nAnswer: 2*(s + 1)**3*(s + 38612171)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 + (-2)\/4)\/(15\/36).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70825.\nAnswer: 5, 2833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.06 * 0.2.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -8, 6, -2, 13, -88 in decreasing order.\nAnswer: 13, 6, 3, -2, -8, -88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 260 = 4*v - 248. Suppose v = -h + 328. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q - 24 - 2 + 3)*(1356*q**2 + 0*q**3 - 1357*q**2 - 4*q**3).\nAnswer: -8*q**4 + 90*q**3 + 23*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -0*l - l. Let r(v) = -2*v + v - l*v. Let n(i) = -i + 2. Let y(w) = -6*w + 8. Let s(u) = 4*n(u) - y(u). Calculate s(r(z)).\nAnswer: -8*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -c**5 - 2*c**5 + 2*c**5 + (5 + 3*c - 5 - c + c + 2*c + (-1 + 2 + 6)*(-2 + 2 - c))*(-35*c**4 + 32*c**4 - 25*c**4).\nAnswer: 55*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is a3c (base 16) in base 5?\nAnswer: 40440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7040 - -7095. What is the smallest common multiple of 250 and j?\nAnswer: 2750","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -4*l + 14, 0 = 2*l + l - 6. Find the third derivative of -12*j**5 - 672*j**2 + 666*j**2 + x*j - 2*j wrt j.\nAnswer: -720*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 16*s. Let l be f(1). What are the prime factors of (l\/(-10))\/(8\/(-20))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58 = 2*x + 2*u, 3*u = -4*x + 2*u + 119. Calculate the remainder when x is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -39*s. Let m(f) = -78*f. Calculate 2*m(c) - 5*p(c).\nAnswer: 39*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j**3 + 2*j**3 + 16*j**3)*(2 - j + 3*j + 5).\nAnswer: 36*j**4 + 126*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -319550*x**3 + 319550*x**3 - 21*x - 4*x**4 - 2*x**2 to h*x + n*x**3 + i + s*x**4 + o*x**2 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 21181?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are -2872580 and -2872623 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 408849 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.166127 to one dp.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + i + 2 + 0 = 0, -2*y - 2 = -2*i for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) 8 (c) 527 (d) -70 (e) 5 (f) -3 (g) 29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dzajkzn. What is prob of sequence jd?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**3 - f + 1. Let p(l) = -126*l**4 - 2*l**3 - 93*l - 2. Let z(d) = 2*a(d) + p(d). Find the second derivative of z(h) wrt h.\nAnswer: -1512*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1, -2, -9, -20, -35?\n\"Answer: -2*x**2 + 3*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 5) in base 11?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = u + 880, 4*r + 6 = 7*r. Let g = 390 + u. What is g rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 393 - 850. Let d = -418 - p. What is the smallest value in 3, d, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28 + 39 + -30 + 36.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 12 - -520d?\nAnswer: 521f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/(-33) + (-56)\/(-66). What is the biggest value in -42, o, -0.1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.916 + 27175472165\nAnswer: 27175472166.916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/11, -1486, -0.2, -2\/3 in decreasing order.\nAnswer: 2\/11, -0.2, -2\/3, -1486","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**2 - 18*w - 11. Let x = 570 - 552. What is b(x)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -17*a - 1. Let d be r(3). Calculate the remainder when ((-13)\/(-2))\/((-13)\/d) is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -5.339 and 1?\nAnswer: 6.339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 + 1850 - (-4)\/(-3)*-3. Let b = -159 + p. List the prime factors of b.\nAnswer: 3, 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1ad (base 14) to base 7.\nAnswer: -1006","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, 1\/6, -2\/7, 0.25?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10337186 divided by 5168593.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 7 + -4 - (22 + -73 - -8)\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (145\/29)\/(60\/48). Find r such that 1\/6 + r**2 + 2\/3*r + 2\/3*r**3 + 1\/6*r**n = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 426 + 7\/((-70)\/60)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*i**4\/4 + i**3\/2 - 7*i**2 + 15*i\/2 - 9\/4 = 0. Calculate i.\nAnswer: -3, 3\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -23.9 and 0.31.\nAnswer: -7.409","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 439 + -820. Let s be (5 + b\/78)*(-8)\/(-6). Sort -6, s, 5 in descending order.\nAnswer: 5, s, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -423*b**3 + 134*b**3 - 1742 + 145*b**3 + 1742 + 142*b**3.\nAnswer: -2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6049563l in millilitres?\nAnswer: 604.9563","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.36 in 1, -1, 2\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-21)\/7)\/(-3)*325\/(-13).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -2*a - s - 3*s, 4*a - 6 = 3*s. Let z(y) be the second derivative of -1\/20*y**5 + 3\/2*y**2 + 1\/2*y**4 + a - y**3 + 2*y. Calculate z(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16.6 + -17. What is the nearest to 2\/7 in 5, v, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 36 - 12 = 0. Suppose 2*a - m = -2*a, -g = -5*a - 11. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4\/43 - 71\/301. Let h = 156 - 2193\/14. Let z = v - h. Which is the smallest value? (a) 4\/3 (b) z (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 0*h = 0. Let n(k) = 2*k + 84. Let l(w) = w - 6. Let d(o) = -3*l(o) + n(o). List the prime factors of d(h).\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(85) - 2*(sqrt(85) - -3*sqrt(85)))\/(sqrt(15)\/(-3*sqrt(3)) + sqrt(5) - sqrt(5)) + -5)*-2.\nAnswer: -42*sqrt(17) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**2\/5 - 94*j\/5 + 2209\/5.\nAnswer: (j - 47)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes before 10:00 PM?\nAnswer: 7:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3 + -55*(-2)\/38. Which is smaller: l or 1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 93 - 180. Let r = 50 - m. List the prime factors of r.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c + 7 - 15 = 0. Let r be (0\/(-6))\/(-1 - c - -2). Solve 2*t + 5*v - 15 - 1 = 0, -4*t - v + 14 = r for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - 1. Let w be 9*(i - (-4)\/(-2)). Let l = w + 48. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*g + 11 + 1. Let o(s) = -s**2 + 4*s + 1. Let u be o(5). Let r = 0.02 + -0.02. Which is the nearest to 3\/5? (a) r (b) g (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**2 - 18*g - 47. Let x be t(-9). Suppose -36 + x = -d. Let k = 6 - 3. Solve d + k = z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 n, and 1 e when three letters picked without replacement from {e: 2, k: 3, o: 1, n: 1, z: 5}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vzmmajzmmjovjmm. What is prob of picking 1 o and 1 j?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1*(-10)\/6*(38 - 35). Put i, -4, 80 in increasing order.\nAnswer: -4, i, 80","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**3 - 9*f**2 + 8*f - 21. Let x be u(-10). Let r = -1014 + 1014. Which is the nearest to -1? (a) r (b) x (c) -1\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-36*(-140)\/(-1092))\/(26\/13)?\nAnswer: -30\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wsswwwnssw. What is prob of sequence ws?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22086358?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 383*r + 9*r + 262 = 654 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 19497 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1.52, 2\/13, -1, -2\/3?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 25 - 45. Let l be 7\/(7\/p) + 2. Let h = l + 52\/3. What is the closest to 2 in -3, h, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.9 (b) 2 (c) -2 (d) 0.01 (e) -44538\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.0545 + 0.8545. Suppose -2*l + 72 = 2*l. Put 4, l, f in increasing order.\nAnswer: f, 4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98*y - 1252 - 41 = 863 for y.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(2\/3)*m)**(2\/11)*((m*(m*m**(-2\/3))\/m*m)\/m)**(-1\/20))\/((m**(-1\/2))**(-3\/13)*(m**6*m)\/((m**(2\/7)\/m)\/m)) assuming m is positive.\nAnswer: m**(-171037\/20020)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 + 4. Is (-3)\/(h\/8*-2) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18979, -19006, -19033, -19060?\nAnswer: -19087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*s**2 + 12*s**6 + 11*s**3 - 11*s**3 - 5*s**6 wrt s?\nAnswer: 840*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o**3\/3 + 21712*o**2 + 325566*o + 1171908 = 0. What is o?\nAnswer: -32553, -9, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**3 - 7*c**2 + 2*c + 7. Let d be n(8). Let a = 181 - d. Does 22 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 38.1 + -38. Which is bigger: -70 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7773?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fz when two letters picked without replacement from {z: 1, f: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 326 is divided by 66.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 5.1595524 milliseconds?\nAnswer: 0.000001433209","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(187) + (sqrt(187) - (sqrt(187) - sqrt(187)*2))) - sqrt(187) - (-2*sqrt(187) + sqrt(187))*-3)\/(sqrt(1100) + (sqrt(1100) - sqrt(1100)*-3)*-1).\nAnswer: sqrt(17)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes after 3:55 PM?\nAnswer: 5:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(2057) + (2*sqrt(2057)*2 - sqrt(2057)))**2.\nAnswer: -164560","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -63 + 91. What is the second smallest value in 0.5, w, -3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the second derivative of -w**4\/36 + w**3\/3 + 56*w**2\/3 - w - 562. Factor x(y).\nAnswer: -(y - 14)*(y + 8)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -64792 less than or equal to 0.0979?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 302232364?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -6*t**3 + 31*t**2 - 2681*t + 16139. What is q(6)?\nAnswer: -127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(187)\/(4*sqrt(1331) + sqrt(1331) + sqrt(1331)) + (sqrt(170)\/(sqrt(80)\/(sqrt(16)\/sqrt(2))))**2.\nAnswer: sqrt(17)\/66 + 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**2\/7 + 46*q\/7 + 264.\nAnswer: -2*(q - 44)*(q + 21)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 + 2. Let y = -0.02 + 0.12. Let n = 3\/34 - -47\/238. Which is the nearest to k? (a) n (b) y (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -29559 + 0?\nAnswer: -29559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.4 + 0.4. What is the closest to k in -2, -1\/5, 1\/6?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 26333, 16, 0 in increasing order.\nAnswer: 0, 16, 26333","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 - 14. Let w(t) = -t**2 - 4 + 0 - 3*t - 4*t + 0*t**2. Give w(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 52\/5 of a millennium?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 215329 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (1116\/6138)\/(2\/(-88))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7506672 and 1824.\nAnswer: 912","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1005*q*y - 378*y wrt q?\nAnswer: 1005*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 789267 is divided by 1624.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 117800, 235675, 353624, 471647?\n\"Answer: 37*x**2 + 117764*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 2*x**2 + 83*x - 163. What are the prime factors of v(-59)?\nAnswer: 2, 3, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 22.906 - -0.094. Let z be 15\/4 - 5\/(-20). Which is the nearest to 1? (a) k (b) -2\/9 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 - -4. Suppose 3 - u = -g. Solve 9*n - g*n = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 + 10 = -4*f. Let x(y) = y**2 - 5*y - 9. Let p be x(f). Suppose 4*q - d = -22, -2*d = 3*q + p + 6. Let c(a) = -a**2 - 6*a - 2. What is c(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 15*i**2. Let n(v) = -1 - 6 + 2 + 6. Let o(h) = h - 1. Let m(d) = 2*n(d) + 2*o(d). Determine m(y(j)).\nAnswer: 30*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 2*s**3 - 2*s**2 - 4*s + 66. Let k(o) = 3*o**3 - 3*o**2 - 5*o + 64. Calculate -5*c(b) + 4*k(b).\nAnswer: 2*b**3 - 2*b**2 - 74","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1374 divided by -3.\nAnswer: 458","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -741375 bigger than -741201?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -553054 + 35400?\nAnswer: -513254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (2716\/140*-2)\/(50\/125)?\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 190 - 187. Calculate the remainder when ((-32)\/6)\/(-2)*3 is divided by s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 6*s = -8. Let d = s - 0. Let l be 6 - (d + -1 - -1). Solve 0 = 5*r + 5*n - 15, -l*n - 4 + 32 = -4*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -39, -13, -3 in increasing order.\nAnswer: -39, -13, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10000000100 (base 2) to base 14.\nAnswer: -536","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7008 - -9992. List the prime factors of c.\nAnswer: 2, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3906 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 73262?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - 3 = 2*p, o = -p + 5*o + 1 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 33488660?\nAnswer: -1\/16744330","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 187 and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 50 - 93. Let n = -77 + q. Is 4\/(-2 - n\/58) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3 + (-18)\/6 + 350. Let h = 421 - b. List the prime factors of h.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**3 - 15*q**2 + 10*q - 15. What is w(-16)?\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v - 9. Let w be i(0). Let r(j) be the third derivative of -j**5\/20 - 3*j**4\/8 - 590*j**2. Let f(n) = -n**2 - 4*n. Determine w*f(p) + 4*r(p).\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -7*m**2 + 13. Let u(r) = -2*r + 67156. Determine u(y(b)).\nAnswer: 14*b**2 + 67130","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.34 rounded to 1 decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-230)\/(-15) + -15)\/((-2)\/6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -86.941 + 87. Let s = 0.059 - v. Which is the third smallest value? (a) 6 (b) s (c) -5 (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -233.4*-115.\nAnswer: 26841","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-5*(sqrt(104)\/sqrt(8))**2 - sqrt(13) - (sqrt(325) + -1 + sqrt(325) + sqrt(325))).\nAnswer: -67 - 16*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4660 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/8 - 34\/(-8). Let p(l) = -l**2 + 3*l + 4. Let s be p(i). Suppose s*v = -v + 9. What is the least common multiple of v and 4?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 122 and 90.\nAnswer: 5490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 458341?\nAnswer: 13, 35257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.007836 to four decimal places.\nAnswer: -0.0078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + 2. Let u(g) = -g + 13. Let b be u(10). Suppose t*a = -b*a + 25. What is a rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 25\/8 of a tonne?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 62 - 6. Is 8 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -11*-5*2 - 8\/2. Suppose -t*u = -108*u + 40. Solve -l = -c, 0 = 4*l + 2*c - u + 8 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2774 is divided by 174.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes after 9:34 AM?\nAnswer: 6:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 + 3 - (9 + -5). Let z = -4 - x. What is the remainder when 24*(z\/(-3) - 0) is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 56 - 39. Suppose -2*a = z - d, 2*a - 5*z = 3*a - 31. Suppose -3*o - 2*c = 0, c + a = -3*o - 3*c. Solve 4*y + o*n + 5 = 5*n, -n = y - 4 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1116582 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 1 + 70 - (12 - ((27 - 22) + 2))\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -307.37 - -313. Let k = r + -6. Round k to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**2 + 29. Let j = -288 + 293. Let h be q(j). Solve -v + 2*c - 15 = 7*c, 3*v + 23 = -h*c for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 + -7. Is h + (0 - -1 - -52) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3943843948 to the nearest integer?\nAnswer: 1580","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-2\/7)*(((p*p**2)\/p)\/p)\/p*p**(9\/4)*p*p\/(p\/(p*p**8*p)))**(-1\/29))**(1\/5) assuming p is positive.\nAnswer: p**(-363\/4060)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85 is divided by 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.08417 - 0.48399. Let z = -0.567 - f. Round z to four dps.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 1 + 2*f**2 + 5*f - 5 + 5. Let o be ((-3)\/2)\/((-3)\/(-8)). Is n(o) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 1) + 3 + 5 + -7?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 2*c. Let q = 8 + -15. Let h = -5 - q. Let u(a) = 3*a**2 + 0*a**2 - 2*a**h. Determine u(d(r)).\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 12) to base 9\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 12 = g, -4*v + 4 + 14 = 2*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -460, -869, -1278?\nAnswer: -1687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*x + 7*x - 3*x + (3*x - 4*x + 5*x)*(6 + 0 - 1) - 3 + 3 + 2*x in the form r + z*x and give z.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9 + 2 + 6)*(-4 - 9 - 18)*(0*i - 4*i + 0*i) as c + p*i and give p.\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 256510 - 256505. Let a = -10 + 14. Put -1\/5, a, 2, x in decreasing order.\nAnswer: x, a, 2, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**3 - 70*z**2 - 385*z + 306. Determine p(-64).\nAnswer: 370","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j**4 + j**4 - 3*j**4)*(-406 + 387*j + 406 + (2 + 0 + 0)*(j + 2*j - j)).\nAnswer: -782*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 30476?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 6 = -4*s, s - 26*q + 21*q - 7 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = z + 4*h, 0 = 3*h - 276 + 264 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -290 (base 11) in base 9?\nAnswer: -418","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -5*r + 1. Suppose -5*g - 9 = -2*v, 0*g - 3*g + 3*v = 9. Calculate the least common multiple of y(g) and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2913 + 4551. Let c = -983 + k. What are the prime factors of c?\nAnswer: 5, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 45 and 195?\nAnswer: 585","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/(h**(-4)*h))\/h)\/h**2)\/((h**(-5)*h)\/h**11) assuming h is positive.\nAnswer: h**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-290)\/25 - (-2)\/(-5). Let c be 8\/o + 133\/(-3). What is the units digit of c\/(3 + (-27)\/6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 3) in base 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 50753437 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(99) + sqrt(99)*-2*3.\nAnswer: -15*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 1 + 852\/(-142)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51*g**2 - 2342 + 2340 + 1330*g**2.\nAnswer: 1381*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 1)*(-g**3 + 0*g**3 - 5*g**3 + (-6*g + 3*g + 2*g)*(-2*g**2 + 3*g**2 + 0*g**2)).\nAnswer: -7*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(240)*1)\/sqrt(8) - sqrt(240)\/(sqrt(72) - sqrt(8)))\/(sqrt(42)\/(sqrt(7) + sqrt(28)) + sqrt(30)\/(-1*sqrt(5))).\nAnswer: -3*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v - 10*v + 98. Suppose 0 = v*x - 12*x. Factor g**3 + 0 + x*g - 1\/2*g**4 - 1\/2*g**2.\nAnswer: -g**2*(g - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 49 - 95\/2. Let k = -10 - -17. Let f = -4 + k. Sort f, 1, z.\nAnswer: 1, z, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 11, -5\/3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -2*o + 2. Let z(m) = 57*m - 55*m - 3 + 5 + m**3. Let x be z(0). Determine d(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -19072915.\nAnswer: -4\/19072915","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 of a centimeter in millimeters?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2)*(-3*b - 3*b + 4*b) + (2 - 3*b - 4*b + 5*b)*(-3 + 0 - 1).\nAnswer: 4*b - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 357*l**2 + 48*l**2 - 5*l + 5*l.\nAnswer: 405*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t, 1 y, and 1 u when four letters picked without replacement from {k: 4, u: 5, l: 1, w: 1, t: 3, y: 1}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -20613747*h**3*q**3 + 43*h**2*q**3 - 4*h**2*q - 2*h*q**3 - 17*h*q + q**3 - 24*q**2 wrt h.\nAnswer: -123682482*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -322*g + 1540. Let r(j) = -14*j + 67. Let k(o) = 3*a(o) - 70*r(o). Is k(32) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 0.6164383 decades?\nAnswer: 0.06164383","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.06, -1\/2, 48, 0.2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4.4 - -7.4. What is the closest to -1 in n, -4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -9, 3, 1 in ascending order.\nAnswer: -9, -2, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21584344?\nAnswer: 2, 1091, 2473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 - 2449.1171.\nAnswer: -2449.0171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 297, 335, 441, 651, 1001, 1527?\nAnswer: 2265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -14\/27 and 127\/54?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4125 is divided by 70.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 30 = 2*y. Suppose 467 = 4*g + 4*o - 161, -3*g + 486 = -2*o. What is the highest common factor of g and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 18307, 25084, 31859, 38632, 45403?\n\"Answer: -b**2 + 6780*b + 11528","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -1. Let h(u) = 18*u**2 - u - 5. Let y(d) = h(d) - 3*t(d). Let g be y(-1). Solve f - 2*m + 10 = m, 0 = -5*f + 4*m - g for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6459\/2 - 3228. Sort -0.2, n, -0.043 in descending order.\nAnswer: n, -0.043, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 7*k - 1. Let q be h(1). Calculate the highest common divisor of q and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 + 74 - 43 - 7 - 21*q**3 as r*q**2 + g*q**3 + l + x*q and give l.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = 5*z - 144. Suppose 0 = 4*a + 4*q + z, 0*a - 2*q - 12 = 3*a. Let y be a + -1 + 4\/1. Which is bigger: y or 1\/11?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -8*k**2 + 13*k + 12. Determine o(3).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13545 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*o**2 + 6*o - 6*o)*(6 - 6 - 4*o)*(-4 + 1 + 1) to g*o**2 + w + z*o + k*o**3 and give k.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2886 + 2891. Sort 0.4, -9, r in ascending order.\nAnswer: -9, 0.4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 24 + -52265?\nAnswer: -52241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.8 in 0, 5, 128, -64?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the third derivative of x**4\/8 - 5*x**2. Give k(6).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 15) to base 13\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 44988465799 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (46\/(-4))\/((-10)\/4) + -4. Let b = 71 + -352\/5. Factor -m*o + 6\/5*o**3 - 3\/5*o**5 + 6\/5*o**2 - 3\/5 - b*o**4.\nAnswer: -3*(o - 1)**2*(o + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 1794*d**2 - 36*d + 175. Is c(-16) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, 2\/131, -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 64289792 a multiple of 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 110993322 divided by 5.\nAnswer: 110993322\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 8589216 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12751 = 47*o + 22499. Does o = -756?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -98317590706 minus -1241?\nAnswer: -98317589465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -2*u - 9. Give n(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**2 - 8*g - 16. What is o(-6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 30512453 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:26 AM and 1:13 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1 (b) -0.04 (c) -0.4 (d) -5 (e) 177\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1528\/(-764))\/(-4*1\/(-2))*14.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -500487 != -5505362\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 - 22 = -5*u, 3*g - 4*u = -25 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4.7 - 0.3. Let h = -10 - -12. What is the nearest to h in w, -0.4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(833)*-1 - (-3*sqrt(2057) - sqrt(2057))**2.\nAnswer: -32912 - 7*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - (-6 - -1)) + -2 + 1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1221 - 12202?\nAnswer: -10211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 8 - 5 + 26*c - 3 in the form w + g*c and give g.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (136\/32)\/(23\/(-92)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in six fifths of a day?\nAnswer: 1728","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbucbxxxjvjju. What is prob of picking 1 c and 2 x?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in one tenth of a centimeter?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 429.8 plus -1?\nAnswer: 428.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 421039*y - 2947268. Determine w(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12*n**4*u**2 - n**3*u**3 - 19*n**3 + 6*n**2*u**3 - 121*n*u**3 wrt n.\nAnswer: 288*n*u**2 - 6*u**3 - 114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2482743?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i - 8 - 12 = 0, i + 1 = 2*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2112 = -42*k + 57*k + 161*k for k.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*t - t - t + 3*t - 3*t - 3*t - 3*t + t + t + (2*t + 0*t - 4*t)*(-3 + 3 + 1))*(4*t + 3 + 1 - 1) as a*t + p*t**2 + r and give a.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10 in 4, -97999, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 4*k = -k - 19, 20 = 3*f + 2*k. Suppose -23*c + g = -28*c + 26, -26 = -c + 5*g. Factor c + 3\/2*l**2 - f*l.\nAnswer: 3*(l - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f - f - 3*z, -4*z = 20. Suppose -4*v - 852 = -4*d, f*d + 0*d - 4*v = 640. What are the prime factors of d?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.52, 0.2, 4, -0.05, 1, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11289 is divided by 83.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1365857841.\nAnswer: 3, 455285947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the second derivative of -1\/4*a**5 + 17\/2*a**2 + 0 + 115*a + 1\/2*a**3 + 0*a**4. What is the first derivative of l(u) wrt u?\nAnswer: -15*u**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 2*k - 26 = 0, -5*x + 21*k = 17*k + 25. Let j(i) = -80*i - 31. Is j(x) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-72)\/(-302) - (34 - 28) - -6. Which is greater: f or 0?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2881693993 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1443*d**2\/7 - 172083*d\/7 + 43560.\nAnswer: -3*(d + 121)*(481*d - 840)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -148 (base 12) to base 3.\nAnswer: -21102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4\/1965 or -1?\nAnswer: -4\/1965","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**2 + 19*u + 36. Let k be a(19). Solve -k = p + 8*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2897.93 rounded to the nearest 100?\nAnswer: 2900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 576302800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*p - 19 + 19.\nAnswer: -11*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 9927524 (base 10) to base 8\nAnswer: 45675544","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71755.\nAnswer: 5, 113, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 32 = -n - 40 + 10, -138 = 3*o + 5*n - 31 for o.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(5*sqrt(119)\/sqrt(7) + -4 + sqrt(272) + 4)**2.\nAnswer: -6885","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**3 + 4*c**2 - 6*c + 1. Let w be i(-5). Suppose -5*b - 10 = -5*p, 3*p - 4*b - w = -2*b. Solve p*u - 4 = -0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -29.34 - -27.34. Let j = -332\/11 + 30. Which is the biggest value? (a) 2\/11 (b) g (c) j (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/4 of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -2*l + 24. Suppose -32*z + 210 = 10*z. Suppose 5*t - 17 = 4*q, 0 = l*t - z*t + 4*q - 23. Solve 3 + 2 = -t*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -3*g + 17. Let i(b) = -b**3 + 16*b**2 - 27*b - 9. Let k be i(14). Let y be w(k). Sort 0.3, 0.2, y, 3 in decreasing order.\nAnswer: 3, y, 0.3, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**9\/(r\/r**(-7)))**(1\/7)\/((r*r**7)\/((r\/r**9)\/r))**9 assuming r is positive.\nAnswer: r**(-1070\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (17\/(-34))\/((-2 - 0)\/(-4))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -49 + 52. Suppose 3*l = 5*f - 506, 5*f - 4*l - 511 + o = 0. What are the prime factors of f?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*c**3\/11 + 628*c**2\/11 - 1250*c\/11 + 624\/11 = 0. What is c?\nAnswer: 1, 312","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d - 10 = -7*d. Let c be d\/45 + (-88)\/558. Is c at most 2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the third derivative of -233*x**4\/6 - 2*x**3 - 4*x**2. Let d be z(9). What is d rounded to the nearest one thousand?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1008 and (6300\/825)\/(6\/99)?\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate t**2*z**2 - t**2*z + 74*t*z**2 + 3*t + z**2 - 40*z + 4 with respect to t.\nAnswer: 2*t*z**2 - 2*t*z + 74*z**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**2 - a - 5. Let p be 0*(-6)\/(-24) - (1 - 4). Suppose 0 = 15*q - 17*q - v - 12, -p*v - 26 = 4*q. What is j(q)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 496.886 and 0.1406.\nAnswer: 497.0266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(8\/9)*y**(7\/2)*y*y)\/(y**(-12)\/(y\/(y*y*y**(-11\/4)*y*y))))**(2\/17) assuming y is positive.\nAnswer: y**(653\/306)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*u + 6 = -42*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5040) - 1*sqrt(5040) - sqrt(35))\/(sqrt(7) - sqrt(35)\/(sqrt(5)*-1)))**2*-6.\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/8*s**2 + 15\/8*s + 0.\nAnswer: 3*s*(s + 5)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -57 and 38.5.\nAnswer: -2194.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**3 + 5*k**2 - k + 10. Give h(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the second derivative of -29*b**7\/42 + 13*b**3\/3 + 39*b. Find the second derivative of i(v) wrt v.\nAnswer: -580*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-33)\/77 - 96\/(-28). What is the third derivative of -5*r + 138*r**3 + 5*r + 3*r**2 - 3 - 37*r**c wrt r?\nAnswer: 606","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 - 5. Let o = p + 5. Suppose 3*d = o*h, -3*d = -h - 2*d - 2. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 42\/5 of a tonne?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-7)*g*g*g*g*g**6*g**(7\/2)\/g**(-2\/13))**(-16\/9))**(31\/2) assuming g is positive.\nAnswer: g**(-21452\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -78, -66, -46, -18?\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 47642077 and 133?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the first derivative of 63*x**5\/5 + 122*x**4\/3 - 8*x**3 - 16*x**2 + 4*x - 17. Let o(t) be the first derivative of p(t). Let o(g) = 0. Calculate g.\nAnswer: -2, -2\/9, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -12 in -0.1, 11, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15880 is divided by 306.\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 16? (a) -5 (b) -2 (c) -2\/3 (d) 0.042\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-3)*(1\/(-2))\/((-122)\/(-915)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -71628354 * 0.1.\nAnswer: -7162835.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 = -5*h - 5*v, 4*v - 28 = -3*h + 17. Let s(f) = -f - 2. Suppose 0 = i - w + 9, 0*i - 19 = i - 3*w. What is the least common multiple of s(i) and h?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((1320\/18)\/(-22))\/(10\/(-30)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 88 = 21*v. Suppose -3 + 39 = v*i. Solve -i - 1 = -5*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 805?\nAnswer: 5, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2\/45 of a day?\nAnswer: 3840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:38 PM and 7:00 PM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 724984 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.904208 nanometers to micrometers.\nAnswer: 0.008904208","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-12)\/18 + (-5)\/((-315)\/5352). Let z = 84 - g. Sort -20, -0.1, z.\nAnswer: -20, z, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 times 2862808\nAnswer: 5725616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2659256 is divided by 170.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -4*p + 14. Let q = 203 + -191. Calculate the highest common divisor of q and p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/669 and 11\/288?\nAnswer: 64224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the third derivative of -q**5\/60 - q**2. Let m(n) be the third derivative of 0 + 0*n**3 + 28*n**2 + 0*n**4 + 0*n - 1\/20*n**5. Give m(b(v)).\nAnswer: -3*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, m: 5, o: 13}. What is prob of sequence ho?\nAnswer: 13\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 3*v + 5 = 5*j, -2*v = 10. Find the second derivative of -17*r + 1735*r**j + 12*r**4 - 1735*r**2 wrt r.\nAnswer: 144*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -217*j + 615*j + 337*j.\nAnswer: 735*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -7323, 0.3, 0.4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**3 + 12*a**2 - 18*a - 148. Give m(-15).\nAnswer: -553","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 37855802?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2341543 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1767 equal to 1779?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 5291844?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8498832 is divided by 151762?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4*1)\/(5624\/(-49210))?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 y when three letters picked without replacement from eebeeebybyeb.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 + -4. Let t = n - -0.5. Let j = -7.499877 - t. Round j to five dps.\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1809164*s**2*x - 137761*x - 4 wrt s.\nAnswer: 3618328*s*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13808 >= -37?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 58.9177nm to kilometers.\nAnswer: 0.0000000000589177","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 z when two letters picked without replacement from eqyqzzezqz?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1643 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 0.1874 and 920?\nAnswer: 172.408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3\/1)\/(-8*7\/(-112)). Suppose 6*u = -n*u + 4020. What is the hundreds digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 5*s = 4*y + 8, -3*y = -3*s + 6 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 111 = 18*z + 57. What is the common denominator of -9\/2329 and z?\nAnswer: 2329","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 h when three letters picked without replacement from chfchccfhfhc?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 11*v**2. Let b(g) = 190*g. Give f(b(n)).\nAnswer: 397100*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2172932, 2172937, 2172946, 2172959, 2172976, 2172997, 2173022?\nAnswer: 2173051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -150 divided by 74\nAnswer: -75\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 594973?\nAnswer: 47, 12659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -2*j + 6813, 2*d + 4*j = 3*j + 2726. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1937756826 rounded to the nearest 100000?\nAnswer: -1937800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 18282?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 652 and 1467.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1062605 is divided by 4594.\nAnswer: 1391","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d - 6*d + 8*d - 2*d. Let f(j) = -4*j + 2*j - 5*j + 6*j. Determine o(f(a)).\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -5 + -4 + sqrt(242))**2.\nAnswer: -88*sqrt(2) + 258","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 1 = -13. Does 22 divide (i - 0\/(-2)) + 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -2*q + 20. Let k be s(8). Solve 4*t = 4*l + 4 + 28, -k*l = -3*t + 29 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from {w: 10, v: 10}.\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**2 - 4*t - 1. Let x(d) = 66*d**2 + 308*d + 77. Let j(r) = -231*k(r) - 3*x(r). Let h(q) = 3*q. What is h(j(p))?\nAnswer: 99*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-4)\/(-3))\/(-4)*54\/(-9). Factor 0*s**d - 4\/5*s**3 - 2\/5 + 2\/5*s**4 + 4\/5*s.\nAnswer: 2*(s - 1)**3*(s + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8.16 + -10.16. Put k, -3, 6, 3 in increasing order.\nAnswer: -3, k, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 + 1. Let o = j + 1. Let g = 16 - 21. Put g, 0, o in decreasing order.\nAnswer: 0, o, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8333886 (base 10) to base 16.\nAnswer: -7f2a3e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**2 - 288*v + 3041. Give a(11).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2448?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of 860 and -100806.02.\nAnswer: -99946.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -54 - -141. Let o = -67 + z. Suppose 0 = 2*u - 156 + o. Is u a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 443*l + 1050 = 445*l. Is l a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**3 + 17*q**2 - 46*q - 30. Let x be c(13). What is the highest common factor of x and 2964?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**2\/7 + 116*f\/7 + 228\/7.\nAnswer: (f + 2)*(f + 114)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 66620912 and 18880.\nAnswer: 944","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 + 19. Suppose 0 = -4*p - 2 + z. Suppose p = -2*v + 10. Solve -t - v = t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*u = -5*u + 5. Let x(w) = -w**2 - w - 1. Let l(v) = -3*v**2 - v - 1. Calculate u*x(o) + l(o).\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19, -43, -63, -79?\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 v when four letters picked without replacement from eeeeeiimvpis?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.14*7203605\nAnswer: 1008504.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -12*y**2 - y. Let z be c(-1). Let v(p) = p - 2. Let m(u) = -13 + 3 - 48*u + 54*u. Give z*v(b) + 2*m(b).\nAnswer: b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 38 and 266?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -268, -5, 1 in ascending order.\nAnswer: -268, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**3 - 20*p**2 + 9*p + 185. Determine q(-20).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -129 divided by 1156945\nAnswer: -129\/1156945","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 17, i: 2}. Give prob of sequence ai.\nAnswer: 17\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*c + 11*c = -140. Suppose -6*k = -3*k + 5*o - 202, -o - c = -k. Does 15 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 37 = 5*q - 5, -2*q = 4. Let r(d) = 3*d**2 - d + 1. Let k be r(4). Suppose -k = -0*a - 5*a. Calculate the lowest common multiple of t and a.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1050\/(-50)*(-1119)\/9 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1133, 1135, 1137, 1139, 1141?\nAnswer: 1143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (48\/21)\/((-184)\/(-322)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -86d68 (base 15) to base 7.\nAnswer: -3432416","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8892 and 40014?\nAnswer: 80028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 23272 and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 410*t + 259*t + 2*t**2 + 50*t.\nAnswer: 2*t**2 + 719*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -33*l**2 - 1. Let v be h(-1). Let q = -22 - v. Is 12 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*p - 306 + 719 - 69 to w*p + d and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 384 (b) 4 (c) 2\/303\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - 5414?\nAnswer: -5413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -758022?\nAnswer: 5\/758022","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 230 = 24*v - 14*v. What is the second derivative of 277*l + v - 561*l + 283*l + 104*l**2 wrt l?\nAnswer: 208","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/17, 0.4, -3.4, -2, 3.87 in descending order.\nAnswer: 3.87, 0.4, 2\/17, -2, -3.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 2*w. Let h(v) = -2*v - 6. Let n be h(-5). Let c = 0 - -15. Calculate the remainder when c is divided by y(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k + 3*i - 1221, 11*i = -3*k + 6*i - 719. Calculate the common denominator of ((-10)\/((-100)\/(-15)))\/(k\/(-393)) and 19\/30.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyeu when four letters picked without replacement from {y: 6, e: 3, x: 4, u: 1}?\nAnswer: 15\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4482389655?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (12*(-91)\/(-1872))\/(2\/40). Let i(s) be the first derivative of -1 - 5\/4*s**4 + 45*s + t*s**3 - 75\/2*s**2. Solve i(z) = 0 for z.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - (-16)\/(-2))\/(-209 - -206)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, -2\/217, -0.5, 5, 0.2 in increasing order.\nAnswer: -0.5, -2\/5, -2\/217, 0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1456\/980 - 1200\/1000?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the second derivative of -5*r**3\/3 + 2*r + 26. Let k(m) = 134*m - 1. Determine k(y(z)).\nAnswer: -1340*z - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 56666 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: Let l = 11945 - 11944.7. Let f = 33 - 37. Let h = 3.03 + -0.03. Sort -0.1, h, f, l.\nAnswer: f, -0.1, l, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*-1*sqrt(153) - sqrt(153)) + (sqrt(153) - (1 + sqrt(153))*-3))*-1)**2.\nAnswer: 90*sqrt(17) + 3834","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.054 times -141.549\nAnswer: 7.643646","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2417 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 188 and 2813087.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 79031.\nAnswer: 79031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 157710*k + 108683?\nAnswer: 157710","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 4*s. Let w(k) = 9*k. Let g(j) = -24*i(j) + 11*w(j). Let y(n) = 6*n - 84. Determine g(y(u)).\nAnswer: 18*u - 252","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from httchcchlhtctyt. What is prob of sequence ltht?\nAnswer: 2\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -3*a, 4*g + 4*a + 40 = 2*a. Let b be (g\/(-4))\/((-24)\/64). Let v(r) = -r**3 - 5*r**2 + 6*r - 4. Give v(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 118.231097 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -5*u - 29. Let n be c(-15). Let x = n - 33. What is the remainder when x is divided by ((-40)\/12)\/(2\/(-3))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2511\/(-45))\/9 + -4 + 10. Which is the closest to f? (a) -2\/11 (b) -8 (c) -3 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15 - 38) + ((-124 - -129) + 0 + 6 - 7)?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a day in minutes?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**3 + 12*n**2 - 12*n + 1. Determine a(11).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 933*g**5 + 784*g**2 - 492*g**5 - 597*g**5 + 404*g - 2648*g**3 - 72 + 1688*g**4 = 0.\nAnswer: -1\/3, 2\/13, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 650 and 20?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -24 - 3542212?\nAnswer: -3542240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*x - 3*o - 9 = 9*x, -4*x - 10 = -2*o for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 5611 divided by 250\nAnswer: 5611\/250","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 5220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14 is divided by (-15)\/(-25) - (-85)\/25?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17 - -1. Suppose 2*y + s = 4*m - 0*m, -5*y + 18 = -m. Suppose 4*i = 4*t - 128, 42 = t + 2*i - 5*i. Calculate the remainder when t is divided by m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 51 - 46. Suppose -5*p = -c + 2*c + h, 0 = -4*c + 2*p + 2. Suppose 5*s + 5*j - 20 = 0, 2*j - 3 + 1 = c. Solve s*o = 1 + 5 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 122*d + 92*d + 72*d to i*d + q and give i.\nAnswer: 286","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -758?\nAnswer: -1\/758","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1645169 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 1 x when three letters picked without replacement from {r: 5, u: 4, s: 1, x: 8}.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -220*h**5 - 4*h**3 - 4*h**2 + 46*h. Let l(t) = -t**3 - t**2 + t. Let g(w) = b(w) - 4*l(w). Find the second derivative of g(j) wrt j.\nAnswer: -4400*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3024 by 756.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2932*f**4 + 168*f**4 - 291 + 227*f**4 with respect to f.\nAnswer: -10148*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(450)*1)\/(-4*1*-1*sqrt(10)).\nAnswer: 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 270941?\nAnswer: 11, 24631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 225 and 765?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 28 = -11*v. Suppose 4*r + v*k - 60 = 0, -r + 2*k - 60 = -5*r. Let c(l) = 2 - 2*l + 17*l**2 + 5*l - r*l**2. What is c(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 8, -15, -12?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -2*j - 47717, 5615 = 2*i - 4*j - 13491. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 250328.\nAnswer: 2, 13, 29, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3*-4*(-5)\/12. Suppose -19*r + m*r = -490. Calculate the remainder when 243 is divided by r.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, p: 4, l: 2, m: 1, n: 2, e: 6}. Give prob of sequence lq.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 1 = 3. Let j be (11 + v)\/(-3)*(-2)\/16. Do j and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -112 - -178. Calculate the remainder when z is divided by 18.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 22 and 528.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 54b8a + -116?\nAnswer: 54a74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-2\/13)\/r**(-1\/2))\/(r*r**(-1))**4)\/((r\/((r\/((r\/r**0)\/r*r)*r)\/r*r)*r)**(2\/75))**(-6) assuming r is positive.\nAnswer: r**(329\/650)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 99 + -49 + -31 + 7?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 100222 (base 3) to base 2\nAnswer: 100001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 177 - 182. Which is the third biggest value? (a) 6 (b) 5 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*q**2 + 3300*q + 6584.\nAnswer: 4*(q + 2)*(q + 823)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2\/3679 + -7188\/312715. Let d be (19\/((-133)\/70))\/6. Which is the smallest value? (a) p (b) -0.3 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 94022 - 52763. What is the tens digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1520201 is divided by 304007?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-26)\/(-3))\/(-1*(-2)\/(-3)))\/(-1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.66 + -0.66. Let k = 0.1 + -0.08. Are d and k equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22052 less than 106?\nAnswer: -21946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 129*x**5 - 89*x + 1.\nAnswer: 2580*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 3*z - 17 = -0*d, -2*d - 3*z = 11. Let s = 8 + -6. Suppose -6*h - 20 = -s*h, -2*x = d*h - 18. Does 7 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 8, e: 2}. What is prob of sequence le?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a = -15*a + 35. Suppose 2*k + s = 39, -2*s + a*s = 3. Suppose 5*u = 3*c - 343, -4*u + k = 3. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (8 + 5 - 2)*(5 - 248*a**2 + 176*a**2 - 5)*(-2*a**2 - a**2 + 2*a**2) in the form j*a**3 + k + w*a + q*a**2 + m*a**4 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 3*k - 48 - 2, -5*u + 50 = 5*k. Suppose -2*v = 3*v, 2*v + u = -2*j. What is the tens digit of 2 - j\/(-2)*-14?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 46217794 to the power of 1\/2, to the nearest integer?\nAnswer: 6798","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 6 = 3*h - h, -4*h = -3*y + 23 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**2\/7 - 244908*o\/7 - 244910\/7.\nAnswer: 2*(o - 122455)*(o + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 6841994 a multiple of 184?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/5 + (-2)\/5. Let p = -98 - -98. Suppose p = 3*y - 3*h + 3 - 15, 0 = 3*y - 4*h - 14. Solve s + r = -y for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 2*s = -2*y + 56, -4*y + 7 = s. Calculate the remainder when 29 is divided by s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 853200 and 525600.\nAnswer: 3600","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/116164 and -109\/2570?\nAnswer: 580820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-65520)\/3040)\/(-91)*2\/9*-4?\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1508 and -3.5359.\nAnswer: 0.53321372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-91912)\/(-8544))\/(-1 + 0). Let o = 2\/267 + c. Calculate the common denominator of o and 41\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2173820 and 3608?\nAnswer: 1804","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46506.\nAnswer: 2, 3, 23, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (5 - 0) + 14 + -17. Let b(n) = -84*n**2 + 82*n**2 + 2 - o. Let v(i) = -i + 4. Give b(v(y)).\nAnswer: -2*y**2 + 16*y - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.49 and 162419 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (35\/4 - -2) + (-10)\/(-40). Suppose 3*d - w = 4. Suppose d*b = 6*b - 1379. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -26 (b) -2.1 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 2*q = -3*g - 20, -2*q = g - 8. Solve g = -5*i - 0*o + 3*o - 13, -5*o + 5 = -5*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 163450157.\nAnswer: 13, 83, 151483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -17 - 15. Suppose -p - s = 2*s - 10, b = 2*s. Let t be p\/4*0\/4. Is -2\/3 bigger than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 169854 is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**5*h\/(h**(-1\/5)\/h)*(h\/h**(4\/5))\/h*h\/(h\/(h*(h\/h**(-5\/2))\/h*h*h*h))*((h*h*h**8*h)\/(h*h\/((h\/h**7)\/h)))**(-15) assuming h is positive.\nAnswer: h**(-171\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8*(-31)\/16 + -12.\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -12*z + 599. What is i(54)?\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 2 r when three letters picked without replacement from rbbbbrrbrbb?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 3*i + 690 = 0, -3*x + i = -4 - 696. Suppose 2*g - 2 = 0, -4*l - 4*g - g - x = 0. Let v be 8\/l*(7 - 2). What is the closest to v in 5, -1\/4, 1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*c - 58 = 4*a, -5*a + 3*a + 4*a + 4*c = 3*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 200149 by 1.\nAnswer: 200149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 - 4772995849256?\nAnswer: -4772995849256.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2081072263 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/50431 (b) -3.054 (c) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -2*q - 10 + q**2 - 2*q**3 + 42 - 18 - 14. Let w(m) = -m**3 - m**2 + m. Give 2*h(y) + 2*w(y).\nAnswer: -6*y**3 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 3*c**4\/2 - 72*c**3 + 858*c**2 + 288*c - 3456 = 0.\nAnswer: -2, 2, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2867+-116\nAnswer: 2751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 113857 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1077612183?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32930151.\nAnswer: 3, 10976717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o + 3. Let u be g(7). Let m be (-4)\/u - 644\/(-35). Suppose 2*y - 60 = -3*y - 5*n, -m = -y - 4*n. 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: Factor -3*q**2 + 324*q - 8748.\nAnswer: -3*(q - 54)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 43 + -31. Suppose -g = -j + 10. Let q = -9 + j. What are the prime factors of q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3256, 5204, 7234, 9388, 11708, 14236, 17014, 20084?\nAnswer: 23488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -122.7 + 4.7. Let y = o - -117.13. What is y rounded to one decimal place?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2*(-2)\/8*-10. Suppose -3*s + c = s + 16, -z*s - 20 = c. Is 62\/(1 - s\/4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14031114.4999922 + -14031119. Let n = f + 4.5. What is n rounded to 6 dps?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the second derivative of 0*j**3 + 79\/2*j**2 - 14 + 9\/2*j**5 - j + 0*j**4. What is the derivative of p(b) wrt b?\nAnswer: 270*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -24285.9929224 - -24286. Round v to four dps.\nAnswer: 0.0071","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 3*y - 1542 = 0. Let k = -1241 - y. Let t = 805 + k. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(153) - -3*sqrt(153)) - sqrt(153))\/(sqrt(9) + (sqrt(9) - -1*sqrt(9))*-4).\nAnswer: -3*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bw when two letters picked without replacement from {b: 3, w: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3.596 or 5\/38086?\nAnswer: 5\/38086","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*t - t - 3*t + (2*t + 3*t - 6*t)*(-12 - 3 + 4) + (1 + 5 + 0)*(2 - 2*t - 2).\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -4 - 3 + 1 - 14*p. Let i(y) = -135*y + 8. Let g(s) = 109*s - 6. Let f(h) = 5*g(h) + 4*i(h). Give -3*c(w) - 8*f(w).\nAnswer: 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 2*y**2. Let q(h) = 199*h**2 + 12*h + 3. Let i(a) = -26866*a**2 - 1616*a - 404. Let x(c) = 3*i(c) + 404*q(c). Give x(o(g)).\nAnswer: -808*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 - (-10 + 1 + -13)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 12, b: 7}. What is prob of picking 2 c?\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**1)**23*((l\/(l*l**9*l))\/l)\/(l\/l**(2\/7)) assuming l is positive.\nAnswer: l**(79\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(190)*-2*-3)\/sqrt(10).\nAnswer: 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -2*39.2\nAnswer: -78.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/(-18) - 38\/(-9). Suppose 2*r = q*d - 148, 2*r - 63 = -4*d + 101. Let h = 56 - d. Is h a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 18\/5 of a day?\nAnswer: 5184","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 21 = -15 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3264813 is divided by 466398.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 19800 and 405?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-5)*y**(-3))\/(y*((y*y\/(y*y*y\/(y*y*y\/y**(-2\/3))*y))\/y*y)\/y)**(-43)*((y**1)**(-18\/7))**(3\/29) assuming y is positive.\nAnswer: y**(38611\/609)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u**(-2\/3)*u)\/u)**(-37\/2))**(5\/3) assuming u is positive.\nAnswer: u**(-185\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.42960215 plus 1600.612?\nAnswer: 1600.18239785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (1500\/(-450))\/((-1)\/594 - 0)?\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 116357?\nAnswer: 23, 5059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -58 + 175. Let o be (-2)\/3 - (726\/l)\/(-11). Which is bigger: o or -1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 - 21101101120?\nAnswer: -21101101121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 - 3*w**2 + 9*w**2 + 4 + 9*w**2 to v*w + n*w**2 + l and give n.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -43 + 25. Let u(p) = 105*p**2 + 18*p + 36. Let h(g) = -30*g**2 - 5*g - 10. Let s(t) = r*h(t) - 5*u(t). Let a(n) = -2*n**2. Calculate a(s(w)).\nAnswer: -450*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 9570805 to the nearest 100000.\nAnswer: 9600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*d - 1945 = 2654 - 3543. Calculate the remainder when 4927 is divided by d.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 837?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9.75962 + -9.66. Round a to 3 decimal places.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.02 * -35.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p = -8 - 4. Suppose -39 = 5*z + 21. List the prime factors of -2 + (p - (2 + z)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 96 - 22 - 29 - 16 - 32*t - 30.\nAnswer: -32*t - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*b**2 + 558*b - 243 = 0. What is b?\nAnswer: -27, 3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express t**4 + 5870*t**2 - 11750*t**2 - 1 + 5876*t**2 - 4*t**3 as u + k*t**4 + i*t**2 + a*t + r*t**3 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8 + 5 + 2 + -7. Let x(q) = -q**2 + 15*q - 11. What is x(o)?\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19787048 divided by -341156?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (72\/60 - 66\/5) + 51304\/583.\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-1\/9)*i**(-11)*(i\/((i\/(i*i**(1\/5)*i))\/i*i))\/(i*i**24) assuming i is positive.\nAnswer: i**(-1526\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 9.01442 to 1 decimal place.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 10 - 10 = 0. Suppose -y*x = 4*j - j - 438, 5*x + 2*j - 551 = 0. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the first derivative of -x**5\/24 - 4*x**3 + 23. Let v(u) be the third derivative of q(u). What is v(3)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21525?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0\/(2\/8*(3 + 1)). Suppose -6*v = -p*v - 18. Solve 0 = -v*j + 3 + 6 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 209 by -13.\nAnswer: -209\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a + 5*p - 514, 4*p - 254 = -2*a - 0*a. Calculate the remainder when a is divided by 33.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1278, -5093, -11448, -20343?\nAnswer: -31778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -21) + (6 - ((19 - 8) + -2))\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**3 + 6*q**2 - 2. Let m be i(-6). Let n = 1 - -9. What is the remainder when n is divided by 4\/(m\/(-9)*3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -44397099*j**4 - j**3 - 21542355*j**2 wrt j.\nAnswer: -1065530376*j - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (517*b**2 - 1052*b**2 + 1 - 17*b + 525*b**2)*(4*b**2 - 3*b**2 - 2*b**2) to r*b**2 + y*b + i + k*b**3 + g*b**4 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 10*z + 25. Let b be k(12). Let i = b - -55. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 52535*z**2 + 106740*z + 3340.\nAnswer: 5*(z + 2)*(10507*z + 334)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -72137*m - 639. Is r(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(99) + -4 + (0 + sqrt(11))**2.\nAnswer: 7 + 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - (-1 + 6) - 3) + 7 + -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -298*d - 895. What is the thousands digit of v(-16)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 55.2 - 2979.\nAnswer: -2923.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 116, 469, 1056, 1877, 2932, 4221?\nAnswer: 5744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -973*g**2 - 16*g**3 + 973*g**2 - 2 to the form z*g**3 + k*g + y*g**2 + d and give z.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 5*u**3 - 3*u**2 - u - 2. Let p be (-16)\/(-20) - (-1)\/5. Let a(f) = f**3 - f**2 - 1. Let i(l) = p*z(l) - 2*a(l). What is i(-1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 661.\nAnswer: 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4109 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -502 + 538 = -6*i, -2*a + 42 = -6*i for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the first derivative of 0*j**4 + 28\/3*j**3 - 46 + 0*j + 32\/7*j**7 + 0*j**6 + 0*j**5 + 0*j**2. Find the third derivative of v(q) wrt q.\nAnswer: 3840*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 - 4. Let p = 0.975 - o. What is p rounded to 2 decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 18643665?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 38801 and 92?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 851793574?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/2880 and -131\/360.\nAnswer: 2880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * 0.052033076.\nAnswer: 0.0156099228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3846 rounded to 2 dps?\nAnswer: 0.38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -10*o**2 + 44*o - 189. Let r(a) = -7*a**2 + 29*a - 126. Let z(l) = -7*r(l) + 5*y(l). Let d be z(11). Solve d*s + 2*s = -5 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**(4\/11))\/q)\/q**(1\/8) assuming q is positive.\nAnswer: q**(-43\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**2 - 6*x + 18. Let b be v(-8). Suppose 161 = 3*c + 5. Suppose -4 = b*j - c. What are the prime factors of j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12031931 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 13*o**2 - o. Let g(b) = b**3 + 4*b**2 + b + 3. Let p = 4 + -8. Let x be g(p). What is the tens digit of l(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000385230229 to 7 dps.\nAnswer: 0.0000385","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 90*h + 82*h + 3597 - 1017 for h.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -64\/825 and 1\/36?\nAnswer: 9900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 162*v - 5*v**5 - 154*v**3 - 160*v**4 + 38*v**2 + 36 - 3*v**5 + 297*v**4 - 211*v**4 = 0. What is v?\nAnswer: -6, -3, -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4426750.\nAnswer: 2, 5, 17707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 3*n**2 - 26*n - 26. Suppose -140 = 539*q - 549*q. Calculate the remainder when g(q) is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 - 8*t**2 - 10*t - 8. Let l be b(-6). Let m(z) = 4*z + 9. Let f be m(-8). Let i = f - l. Let x(v) = -2*v**2 - 3*v + 1. Calculate x(i).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -2*v**2. Let m(i) = -84*i**2 + 48*i**2 + 31*i**2 - 14*i. What is m(s(p))?\nAnswer: -20*p**4 + 28*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11.1 + -0.9. Let b = 11.922 + w. What is b rounded to two decimal places?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 68 = -4*j, 0*j - 61 = -5*f + 3*j. Let s(o) = -o**3 - 12*o**2 + 2*o + 269. Let u be s(-10). Calculate the highest common factor of f and u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 470779 is divided by 88?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14168 - -6377. Let n = 26738 + z. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 7*d = -15. Let h = -6 - -8. What is the lowest common multiple of d and (1\/h)\/(11\/110)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 40 = 5*v, 25 = -32*f + 37*f for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 15 = 0, 10*r + 2 = 12*r + 2*z. What is the third biggest value in r, -36, -2\/3?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2111824 to the power of 1\/4, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (60 - 97 - 45)*(39 - 4 + 60)*(-j + 2*j - 3*j).\nAnswer: 15580*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 110?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -3*r + 4*p + 16, 4*r = -2*p + 10. Let g be -2 - (-2 + r - -10). Let t = -3 - g. What is the lowest common multiple of t and 3?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3 or -23?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-184*v - 145*v + 29*v)*(3 - 3 + 2*v) to x*v + n + t*v**2 and give t.\nAnswer: -600","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 420 and 6.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 47685\/2890*2\/21\nAnswer: 11\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**2 - 191688*a.\nAnswer: -2*a*(a + 95844)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -223, -242, -261, -280, -299?\nAnswer: -318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.58 + -3.42. What is the third smallest value in j, 2\/15, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.004 - -43.996. Let a = 447 - 403.3. Let s = a - h. Sort -0.2, -4\/5, s, 1\/7 in increasing order.\nAnswer: -4\/5, s, -0.2, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45707 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2, 18, -2, 0, 9.\nAnswer: -2, 0, 2, 3, 9, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the first derivative of i**6\/6 - i**4\/4 + 6. Factor f(b).\nAnswer: b**3*(b - 1)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 + 7. Let f = -4 + p. Let z = -6 - f. What is the third smallest value in -3, z, -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -28017 + 672311\/24. Calculate the common denominator of z and -38\/15.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-176)\/12*(9\/(-12) - 0). Let u be 32\/176 - (-196)\/g. Suppose -b = 2*q - 7, -5*q + 40 = -b - 4*b. Solve o = -0*o - q*j + 10, 4*o = 2*j + u for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.0018 - -2.04. What is z rounded to 3 decimal places?\nAnswer: 0.038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(189) - (sqrt(189) + -6*sqrt(189)*1 + sqrt(189)))\/sqrt(9))\/(sqrt(1575)\/sqrt(9)*-1) + 4 + 4.\nAnswer: -sqrt(3) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -8c524d + -38?\nAnswer: -8c5286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - a - 6. Let w(d) = -16*d - 2. Let i(q) = 5*q. Let j(r) = 7*i(r) + 2*w(r). What is the units digit of j(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/(-6)*15\/2. Suppose -43 = -u*n + 7. Let c = n - 1. Solve -7*g = -4*g - c for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 p, and 1 q when three letters picked without replacement from {q: 2, p: 1, t: 1, h: 2, r: 1, v: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 21088.94 to the nearest one hundred.\nAnswer: 21100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 152, -242194 in decreasing order.\nAnswer: 152, 0, -242194","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/((-144)\/(-15))*-5*5\/125?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pvrv when four letters picked without replacement from vvvrrrvrprrrv.\nAnswer: 7\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -54, -47, -42, -39, -38, -39, -42?\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**28)**(-9\/4)*p**(2\/19)*p*(p**(-3\/19)*p)\/p assuming p is positive.\nAnswer: p**(4689\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes after 12:05 AM?\nAnswer: 6:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6708 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 87694 (base 13) in base 12?\nAnswer: b994a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**3 - y + 5. Let n(m) = m**2 + 8*m - 9. Let h be n(-9). Let t be u(h). Solve 3*v + t*d + 20 = 0, 2*v - 2*d + 6 = 2*d for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -12, 3, -4, -3, 126.\nAnswer: -12, -4, -3, 2, 3, 126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*t**3*v + 19*t**3 - 64*v**3 wrt v?\nAnswer: 2*t**3 - 192*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, -56 in decreasing order.\nAnswer: 1, -3, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14506 is divided by 4660.\nAnswer: 526","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59 = 5*u + n, 2*u + u = 5*n + 13. Let h(p) = p**2 - 3*p - 8. Calculate the least common multiple of u and h(6).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 20475?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-2)\/5 + (-54243)\/(-45) + 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3\/376303 or -1?\nAnswer: 3\/376303","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, l: 8, a: 2, w: 2}. What is prob of picking 1 f and 1 a?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-4)*a*a)**(-38\/7)*a**(-3)\/a*a**(-16\/3)\/a assuming a is positive.\nAnswer: a**(11\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 12, 16, 12, 0, -20, -48?\n\"Answer: -4*j**2 + 16*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85997 is divided by 200.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 473 and 66.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-17)\/4)\/(3\/(-132)). Calculate the highest common factor of 17 and a.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0\/((2\/(-3))\/(40\/60)). Factor -1\/2*o**2 + 0 + w*o.\nAnswer: -o**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -18 - 58042?\nAnswer: -5805a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5914021\/38 or -155631?\nAnswer: -155631","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/4*3)\/(189\/(-252))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = -4*m - 4. Suppose 1 - m = -3*t. Solve t*z + 8 = 2*z, q = z + 2 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21\/(-252)*3\/1.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in seventy-two sevenths of a week?\nAnswer: 1728","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19.96 + -19.84. Let p = 0.16 + -0.44. Let t = p - i. Which is the smallest value? (a) t (b) -1 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 519082*i**3 + 722640*i**3 - 641078*i**3 + 1602909*i**3.\nAnswer: 2203553*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18707, -3\/4, 3 in decreasing order.\nAnswer: 3, -3\/4, -18707","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 7*z**2 - 2*z + 2. Let x be v(2). Suppose x = 3*i - 4*s, -2*i + 4*s + 24 = -0*i. Let m**3 - 4*m**i + m**3 + 4*m**2 = 0. Calculate m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is db3c8 + 0?\nAnswer: db3c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6.63 - -17.23. Let m = n + -11.1. Which is the closest to -2? (a) m (b) 6 (c) -8 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 228*l - 233*l - 40 = 0. Let q(k) = -k**3 - 9*k**2 - 8*k - 9. Determine q(l).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**3 - 9*y**2 + 110*y + 1. What is q(7)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 387639 by 27.\nAnswer: 14357","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 - 5.4. Let f = 1719.8 + -1719.9. What is the fourth smallest value in f, 4, w, -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 302 is divided by (-4)\/30 - (2898\/(-10) + 580\/(-435)).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/401069 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 383034?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.0448 and -14.\nAnswer: -13.9552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 733338 a multiple of 933?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (30 - 33 - 569*t + t**2 + 1)*(7*t - 7*t + 9*t**2) to the form v + b*t**2 + u*t + n*t**3 + k*t**4 and give n.\nAnswer: -5121","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 64000 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 2*w**5 - 128*w**4 + 1438*w**3 + 7352*w**2 + 7896*w = 0?\nAnswer: -2, 0, 21, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are 3\/14 and -38960 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*3*-2*sqrt(153))\/((1*sqrt(81))\/sqrt(9) + (sqrt(9) - sqrt(45)\/sqrt(5))*-2).\nAnswer: -36*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4869.257 - -4863. Round u to one dp.\nAnswer: -6.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3\/6)\/((-1)\/(-6)). Suppose 2*o - 14 = -z*g, -5*o = -2*g + 3*g - 22. What are the prime factors of o\/(-14) + (-74)\/(-14)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddddjjdddddddjd. What is prob of sequence dd?\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-22) + 1271\/2255)\/((-3)\/6)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 10*w**2 - 45*w + 141. Give p(3).\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 7*v = 2*v - 18, v = -2*f + 18. What is the remainder when f is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 122202 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 p(j) be the third derivative of -j**5\/12 - j**4\/24 - j**3\/6 - 25*j**2. What is p(-2)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5*28\/10*(-3)\/(-120)*4?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/(-1))\/(0 - -2). Is 19 a factor of (-19 - -5)*q*-2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n - 696 = 5*k + 2*n, -424 = 3*k - 4*n. Let r = k + 140. Solve -2*j = 2*x - 2, 2*x - 20 = r*j - 0*x for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 857 + 6*d - 280 - 5*d - 500.\nAnswer: d + 77","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fel when three letters picked without replacement from {e: 7, f: 8, l: 3}.\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -2*z - 14. Let b be w(-21). Let l = b - -6. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t + 21. Let v(x) be the second derivative of 7*x**2\/2 + 2*x + 3. Let b(a) = 8*v(a) - 3*y(a). What is b(7)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*r - 5 + 5)*(0 - 3 + 2) - 3*r + 0*r + 5*r)*(1 - r - 1).\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -1. Let h(x) = 2*x + 27. Let i(n) = -h(n) - 4*j(n). Let b be i(-14). Solve 0 = -3*t + b*o - 37, 0*t - 2*o = -4*t - 26 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -2*l**3 + 156*l**2 + 17*l - 147. Let f be q(78). Put f, 3, 4 in ascending order.\nAnswer: 3, 4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(128) + 1 - (3 + sqrt(128) + 0 - sqrt(128))**2 - ((1*sqrt(128)*-3 + sqrt(128) + sqrt(128))*-3 + 5)**2.\nAnswer: -1185 - 216*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 862510 to the power of 1\/2, to the nearest integer?\nAnswer: 929","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 21 and 561?\nAnswer: 3927","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + b - 18 - 1, 2*y + 13 = -3*b. Sort y, 2, -2.\nAnswer: y, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*a + 33*y - 28*y + 50, 3*a - y - 17 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 46836 by 105.\nAnswer: 15612\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17 + -13. Calculate the remainder when 636\/16 - 3\/f is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 189 by 37.\nAnswer: 189\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2071*j = -119*j - 270*j + 30276 for j.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + 1 + -4 + -1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*g - 48*g = -52. What is the third smallest value in 1\/5, g, -0.1, 0?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 less than -109.8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6548210 = 28*h + 4356138. Is 2\/(1 + -6 - h\/77883) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 2*l**3 + l**2 + l - 1. Let v(y) = 9*y**3 + 8*y**2 + 6*y - 8. Determine 6*t(q) - v(q).\nAnswer: 3*q**3 - 2*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -4*d**3 + 10. Let x(u) = u**3 - 3. Calculate -3*h(s) - 10*x(s).\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -112.91251 to 1 decimal place.\nAnswer: -112.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 75\/232 and ((-114)\/(-4))\/(-19) + (-5)\/((-20)\/93).\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 5 and -398 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12 + 13. Let x be (1\/((-1)\/h))\/(-1). Suppose x = r - 9. What is the least common multiple of 16 and r?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(4\/3)\/(v\/(v*v*v*v\/(v*v**(-2\/7)\/v))*v*v)*v**(2\/15)*v\/v**(-4)*((v*v\/(v\/(v\/v**1))*v)\/v*v)**(-5)*(v*v*v*v**(-2)*v*v)\/v**(-3\/2) assuming v is positive.\nAnswer: v**(473\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**2 + 15*f - 647. Give s(-32).\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1060 or 1049?\nAnswer: 1060","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(1008) - (1 + sqrt(1008)))**2 - -2*(sqrt(1008) + (sqrt(1008)*-1)**2)) + -3.\nAnswer: 24*sqrt(7) + 2012","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**3 + 15*u**2 - u + 11. Let m be h(15). Let w be m + (-1 - -2 - -2). What is the tens digit of 78\/18*(2 - w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 3*p + 12. Let n(j) be the third derivative of j**5\/20 - 7*j**4\/24 + j**3\/3 + 2*j**2 - 51*j. Let w be n(2). What is v(w)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 988453 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00024057 rounded to six dps?\nAnswer: 0.000241","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**2 + 10*r + 1. Let z be w(-11). Let s be (z - 12) + (-4)\/(-1). Let o(t) = -8*t + 6 - s - 3. Let c(d) = 7*d + 1. Give -6*c(j) - 5*o(j).\nAnswer: -2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 631021 and 569.\nAnswer: 569","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-152)\/(-228)*(-12)\/(-154)*7\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**2 - 6*o - 2. Let x be b(8). Suppose 48*g - 47*g + x = 0. Find the common denominator of -77\/16 and g\/189*6\/16*142.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1151794*x**3 - 326667*x wrt x.\nAnswer: 6910764*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**2 + 3*v - 4. Let z be t(3). Let j = 1 + 3. Let s = -3.6 + j. Which is the third smallest value? (a) s (b) z (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -3842313\/7 and -1\/6 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 2*d - 48 = -3, 4*s - 4*d = 160. What is the greatest common divisor of 4725 and s?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, -13496 in descending order.\nAnswer: 1, -2, -13496","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3212 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108 = -8*v + 180. Is 36 at most v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 + 6. Let s be q + (-3 - (-86 + 3)). Suppose 0 = -o - 4*o + s. What is the highest common factor of 48 and o?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19423987411 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -2 + 1 + 8*u - 41*u + 8. Let j be m(-2). Let o(s) = 2*s**2 - 33*s - 40*s + j*s. Let f(p) = -16*p. What is o(f(w))?\nAnswer: 512*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -962, -965, -968?\nAnswer: -971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -9*n**2. Let w(f) = -29*f - 4. Let c(d) = -117*d - 18. Let g(b) = 2*c(b) - 9*w(b). Calculate g(m(z)).\nAnswer: -243*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 + 5)*((-150)\/(-8))\/5. Suppose -3*g = -5*f + 2*f + 9, 2*f + 5*g + r = 0. Suppose f = h + 9 - 15. What is the lowest common multiple of h and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 2*r + m, 0 = r + r + 2*r - 20*m - 112 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*r + 7*r + 16*r - 4*r.\nAnswer: 22*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*y + 230 = -35*y - 26*y + 40*y for y.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that f**2 - 64*f = 0.\nAnswer: 0, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 116 a factor of 3402375?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -207 + -24 - (1 - 4). Let b be 68\/12*5\/(5\/(-18)). Let y = b - m. Is y a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 38 + -22. What is the hundreds digit of 3\/(24\/9236) + (-8)\/w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5.1002 - -5.1. What is n rounded to 4 decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(2\/7)*d*d*d*d*d*d*d**(-13\/6)*(d\/(d*d**1))**(-43))**(-22) assuming d is positive.\nAnswer: d**(-21769\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -98836, -395386, -889680, -1581754, -2471644?\n\"Answer: -6*h**3 - 98836*h**2 + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 2*s**2 + 2. Let p(x) = -6*x**2 - 7. Let z(w) = 14*o(w) + 4*p(w). Let c(j) be the second derivative of 7*j + 0*j**2 + 0 + 1\/3*j**3. What is c(z(y))?\nAnswer: 8*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -30.6 + 60. Let t = 29.4000219 - m. Round t to 6 dps.\nAnswer: 0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(756)*-2 - sqrt(756))\/(sqrt(48)*-1 + sqrt(12)))**2.\nAnswer: 5103","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10 + 6. Let n(j) = 2*j + 16. Let x be n(6). Let a = -24 + x. Sort -3, b, a in decreasing order.\nAnswer: a, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81*i - 37*i - 39*i.\nAnswer: 5*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1339 is divided by 186?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 69039 to the power of 1\/2, to the nearest integer?\nAnswer: 263","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 + (-1 - (0 - 0)). Let a be 6*(-3 - (t + 1)). Let y = a + 30. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -65455*g - 5. Let z(l) = 12*l**3 + 1. Let p = 15 - 16. Let a be z(p). Let m be q(a). Round m to the nearest 100000.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15463960 - 3.717038.\nAnswer: -15463963.717038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 817735?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -2*c + 7. Let b = 11 - c. Let k = -1 + 0. Put k, b, 1 in decreasing order.\nAnswer: b, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5937 is divided by 108?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = 24*p + 7*p - 107 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/8 of a litre?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/((-9)\/6) + 6. Let p(c) = 2*c - 7. Let k be p(6). Suppose k*o = -a, b*o = 4*a - 22 - 2. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 13*b = -30 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 76 - 75.5. Which is the third smallest value? (a) -0.2 (b) -3 (c) y (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16712459 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 2*h**2 + 26*h + 22. Calculate g(-6).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 35879974 and 15678?\nAnswer: 1742","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffvfnhg. Give prob of sequence vn.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b**2 - b**2 + 0*b**2)*(537*b - 348*b - 268*b).\nAnswer: 316*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**2\/9 + 62369*s\/9 - 270322\/3.\nAnswer: (s - 13)*(s + 62382)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5054, -5076, -5120, -5198, -5322, -5504, -5756?\nAnswer: -6090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 29449195 a multiple of 1821?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*b + 3 - 5 - 1 + (4*b - 4*b + b)*(-6 - 2 + 0) to h + k*b and give k.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 8*m + 2. Let n be c(-1). Let t = 6 + n. What is the tens digit of (4 + t)\/(9\/90)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the second derivative of 117*d**6\/2 + 3367*d**2\/2 + 1495*d - 2. What is the derivative of r(z) wrt z?\nAnswer: 7020*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 14*g. Let f(d) = d**2 + 6*d + 6. Let s(i) = -i**2 - 5*i - 5. Let u(l) = 5*f(l) + 6*s(l). What is u(v(m))?\nAnswer: -196*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 - -100022?\nAnswer: 100012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (((-288)\/648)\/((-2)\/((-816)\/(-40))))\/((-4)\/6)\nAnswer: -34\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 27\/2 of a kilogram?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -75*p**3 + 46 + 847*p + 74*p**3 - 46.\nAnswer: -p**3 + 847*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 20341000 rounded to the nearest 100000?\nAnswer: 20300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.0667525ns in minutes?\nAnswer: 0.000000000034445875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the second derivative of -q**2\/2 + q + 33. Let h = 12 + -9. Let j be (1\/2)\/((-1)\/2). Let l(d) = 3*d - 3. Calculate h*o(a) + j*l(a).\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 9\/(-3) - (-5 - (1 - 0)). Find the third derivative of 55*n**2 - 4*n**y - 52*n**3 + 0*n**3 wrt n.\nAnswer: -336","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + 6. Let p = 6.5 - i. Let s = p + -2. What is the closest to 1 in 3, s, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6.5 - 2.5. Let o(y) = 2*y + 9. Let z be o(-11). Let p = 18 + z. Which is the closest to -2? (a) p (b) n (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the first derivative of 16\/9*n**3 + 2*n**4 + 1\/9*n**6 + 4\/5*n**5 + 0*n + 0*n**2 - 37. Suppose i(w) = 0. Calculate w.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.68073l in millilitres?\nAnswer: 2680.73","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 1487 = 4*q, 18*i - 2962 = 16*i - 2*q. Calculate the common denominator of -113\/54 and (i\/(-290))\/(486\/(-15)).\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-108)\/(-120))\/(9\/6).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**3 + z - 1. Let f = 6 + -4. Let x(b) = -b**2 + 4*b - 3. Let y(h) = f*u(h) - x(h). Give y(2).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -15*v**3 + 9*v**3 + 5*v**3 + 2*v**3 + 7*v - 7*v + (-v + 2*v + 0*v)*(-2*v - 3*v**2 + 2*v) - 41*v**2 + 41*v**2 - 22*v**3.\nAnswer: -24*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(-1*sqrt(121) - sqrt(121)) + sqrt(121))\/(sqrt(528)\/sqrt(3)))**2 + -3.\nAnswer: 1283\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3 and 2127.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*1*(sqrt(7) - (-1*sqrt(7) - sqrt(7))) + (6*-1*sqrt(7) + 5 + sqrt(7)*-2)**2.\nAnswer: -86*sqrt(7) + 473","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -2 + 0 - -11 - (-768 - -773)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a day in seconds?\nAnswer: 20736","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 7\/101?\nAnswer: 7\/101","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.373050496185 + 463337270381.626949503815. Let s = 463337270158.000000197 - d. Let h = s + 224. What is h rounded to seven decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3876537 to the nearest integer?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 30840 to the nearest 100.\nAnswer: 30800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1677429097 to the nearest integer?\nAnswer: 1188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and 153.\nAnswer: -15.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 28041361121 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:14 AM and 6:05 AM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6*b**3 - 2*b**2 - 1309 wrt b?\nAnswer: -18*b**2 - 4*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes before 7:47 AM?\nAnswer: 2:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, -4\/7, -0.2, -0.5, -5 in decreasing order.\nAnswer: -0.2, -0.5, -4\/7, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -745, -737, -729, -721, -713, -705?\n\"Answer: 8*s - 753","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 3*u - 19. Let a be b(7). Suppose a*m + 378 = 4*m + 4*g, g - 1 = 0. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -14 + 25 + -4 + -2. Sort 6, -35, s.\nAnswer: -35, s, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -p**3 + 13*p + 24*p + 2*p**2 + 4*p - p - 2 to v + m*p + a*p**2 + l*p**3 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1278735?\nAnswer: 3, 5, 163, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -114057\/20 + 5698. What is the common denominator of ((-15)\/20)\/(6\/83) and i?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -3*m - 1. Let t = -1 + 0. Let x be s(t). Solve u - 2 = 2*u - x*n, -2*u = -2*n for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 3 + (-8 - -3 - -4) + -22.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*1*sqrt(187))\/(sqrt(99)*2 + sqrt(11)).\nAnswer: 4*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -5*q**2 + 18474635*q = 0.\nAnswer: 0, 3694927","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 98913?\nAnswer: 3, 32971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -39*m**2 + m**2 + 368*m + 36*m**2 - 2*m**2 + 4 - 4 + (0*m + 4*m - 5*m)*(0*m + 2*m - m).\nAnswer: -5*m**2 + 368*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 2 w when four letters picked without replacement from {f: 3, t: 1, r: 3, w: 6, y: 2}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1473949280 is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 2*b + 4*x = 24, -x - 30 = -5*b. What is the greatest common factor of b and 66?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - q + 17 = g, 0 = -3*q - 15 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 2*y - 3. Let k be r(4). Let f be (-1239)\/(-10325) - 6\/50. Solve f = -k*j + 4*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**2 - x. Suppose -5*a = -25, -2*b + 7*a - 2*a = 19. Let g(q) = 2*q**2 + 3173*q - 3171*q - 5*q**2. What is b*g(c) + 6*n(c)?\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3 - -11 - (2 + 0). Let o = z + 5. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9\/8 and 9*(2 + 700\/(-330))?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b + 10. Let o be u(-5). Solve -a + 3*v - 14 = -2*a, -v + o = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 339*v - 132478 = 311041 + 154816. Is v at least as big as 1764?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15 and 34035.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1*(-1)\/(-7)*1. Which is the second biggest value? (a) 1\/3 (b) m (c) 0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(-6) + 10*2\/6?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -2*k**3 + 4*k**2 + 38*k + 80. What is v(6)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(((-4)\/(-354))\/(-1)) - 1. Calculate the greatest common divisor of s and 112.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7940000 rounded to the nearest one hundred thousand?\nAnswer: -7900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18974999\/238 - -79727. What is the common denominator of v and -7\/374?\nAnswer: 2618","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 3*a**3 - 4*a**2 + 4*a - 4. Let l be j(2). Let w be ((-16)\/l + 4)*(-1)\/12. Let n = 0.5 - 11.5. Sort w, -0.5, n in descending order.\nAnswer: w, -0.5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 491663561 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21536?\nAnswer: 2, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1856352 is divided by 1101.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 1 + 33 = 0. What is the lowest common multiple of k and 52?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than -82\/1114925?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = c - 5*y, -4*c + 2*y = c - 190. Let w be (-24)\/15*c\/(-16). Suppose -w*j = 0, -j - 2*j + 146 = 2*z. Is z a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42372 + 156*k + 42372 - 29*k + 2*k.\nAnswer: 129*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 - -5 - 5 - -555. Suppose 0 = -4*t + 2*t - s + 285, -4*t - 5*s + a = 0. What are the prime factors of t?\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) 3 (c) -2\/87\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4154 is divided by 1925.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2904.8 + -2905. What is the second biggest value in -3\/8, n, 0.058?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.8929 + -2.6929. Sort 1, f, -5, -25 in decreasing order.\nAnswer: 1, f, -5, -25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12657 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the first derivative of 2*j**5\/35 - 13*j**4\/28 + 10*j**3\/7 - 2*j**2 + 8*j\/7 + 5. Factor x(a).\nAnswer: (a - 2)**3*(2*a - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h + 4*h + 4*n - 18, 3*h = 3*n. Let x = 9 - 5. Suppose -x*r + 30 = -h. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 9*h**2 + h - 1. Let z be o(1). Suppose 5*t = -2*q + 6, 2*t = -3*q - 0*q + z. What is the highest common divisor of q and 27?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 5*l - 2. Let v(i) = -14 - 6*i + 26 - 11. Determine 2*v(h) + 3*x(h).\nAnswer: 3*h - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*p + 1 = -5 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8587 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14694 or 14692?\nAnswer: 14692","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 147509 and 544?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 + 3*a)*(-6 - 5 + 0)*(-3 + 3 + 3*a).\nAnswer: -99*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 i when two letters picked without replacement from yjiqjjjvjjjjjvqj.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 1 + 3 = 0. Sort -4, 4, n in ascending order.\nAnswer: -4, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2495817532?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -119 divided by 136130.\nAnswer: -119\/136130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.13 - 1.3. Let o = c - -0.17. What is the closest to -0.1 in 2, o, -1\/2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 22456?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/147 - 0 - (-25)\/(-24)*(-110)\/(-275)?\nAnswer: -9\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 44331 + -4001?\nAnswer: 40330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 52, 43, 2, -1, 61, -2 in ascending order.\nAnswer: -2, -1, 2, 43, 52, 61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h - i + 2, 0 = 4*h + 3*i + 4 - 11. Solve 0 = -5*x - h + 21 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - v = 2373, -34*a = -36*a - 4*v + 4764. Suppose -17*t + a = -3897. List the prime factors of t.\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.698 plus 4?\nAnswer: 3.302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*p = -3*k - 27*p, 0 = 4*k - p - 6. Solve -k*q - 28 = -9*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -129\/94 + 2989\/517. Let w = 38081\/42512 - -1\/15942. What is the common denominator of w and d?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1029247030.\nAnswer: 2, 5, 7, 569, 25841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1230410 + 30443?\nAnswer: -1155523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the first derivative of 4*q**3\/3 + 1. Let h(t) be the first derivative of 3\/2*t**2 + 0*t + 198. What is h(y(f))?\nAnswer: 12*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*o**2 + 0*o**2 - 3*o**2)*(-72*o - 396*o + 2 - 97*o) in the form x*o**2 + b*o + s + y*o**3 and give x.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 50631*b**4*h - b**4 - 13*b**3*h - 30*b**2*h - 71*b**2 - 101*b*h wrt b.\nAnswer: 1215144*b*h - 24*b - 78*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(1\/4)*(o*o\/o**(-6))\/o*(o*o\/o**1)**(-36))**(8\/5) assuming o is positive.\nAnswer: o**(-222\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j + 3*v - 11, 4*j + 5*v - 1 - 18 = 0. Are j and -10 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6755 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3437 - -44763\/13. What is the closest to 1\/3 in 3\/2, -5, j?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w = -2*k + 19, -190*k - 2*w + 8 = -189*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the third derivative of -b**6\/120 + b**5\/30 + b**4\/12 + b**3\/3 + 376*b**2. Let x(y) = -4*y**3 + 11*y**2 + 11*y + 11. Calculate 33*f(r) - 6*x(r).\nAnswer: -9*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10.81179 - -11.322089. Let s = 109 + -109.51. Let w = s + u. Round w to 5 dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6*((-200)\/64)\/25)\/27?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 200 and 25.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000005698 rounded to 7 decimal places?\nAnswer: -0.0000057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 17*x**3 - 7*x**2 - 2*x - 7. Let p be j(-11). Let z = p + 117813\/5. Let m = z + -103. Is 2 at least as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.06 - 1.06. Let j = 2.6 + -2.4. What is the third biggest value in f, -2\/13, j?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*w = -10*w - 42. Let j be (-1)\/w - 635\/(-35). Solve 5*m - 15 = 0, m + 4*m - j = -3*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-14)\/105)\/(-1))\/(8\/(-80))*3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 69 = 17. Suppose 3*n = p - 4. Suppose 4*y = -2*u - 10, 21 = n*u - 6*y + 3*y. Solve -6*c + 3*c = r + 9, u*c = r - 15 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 635.\nAnswer: 5, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4.034 - 0.066. Let x = g - -4. Let z = x + 1.1. Which is smaller: z or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*o**3\/7 + 2*o**2\/7 + 6*o - 90\/7 = 0. Calculate o.\nAnswer: -5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 g when three letters picked without replacement from gghghhhhll.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 191813683?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - -44833257?\nAnswer: 44833254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, j: 2, h: 3, n: 7, b: 4}. Give prob of sequence bb.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dnxj when four letters picked without replacement from {j: 2, x: 1, n: 2, d: 1, y: 1}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1736593 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -71.86 + 74.86. Let j = -4 + 3. Let l = -349\/3 + 115. Which is the closest to j? (a) w (b) l (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**3 - 3*l**2 + 10*l - 6. Calculate f(4).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40 = -149*a + 141*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1750 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 277 + -219. What is the remainder when 230 is divided by x?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 57*w**3 + 10*w**2 + w - 12. Let b be z(9). Let k = b - 81360. What is k rounded to the nearest ten thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 + -3. Let f = j + -4. Suppose -3*v + 3*k + 294 = f, 5*k + 110 = 2*v - v. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 331 - 311. What is the least common multiple of 16 and c?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*y**2 + 72*y + 2*y**4 - y**3 - 69*y + 2*y**2 to the form u*y**3 + l*y**2 + x*y**4 + h*y + g and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + r + 222, 2*m + 20*r - 230 = 17*r. Suppose m*x - 108*x = 292. What are the prime factors of x?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 28*c. Let b be z(3). Suppose 0 = -m - 3*m + b. Let o = m - 5. Does 16 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 420485 is divided by 1929?\nAnswer: 1892","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 3*q - z, 16 = 3*q - 8*q - 2*z for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -58 + 1025\/(-25) - -71\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 280653?\nAnswer: 3, 17, 5503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -612903, -1225845, -1838787, -2451729, -3064671, -3677613?\nAnswer: -4290555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(5*(-6)\/120*2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -458 + -5?\nAnswer: -463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2034 - -1?\nAnswer: -2033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that m**3\/5 - 2821*m**2\/5 - 2822*m\/5 = 0.\nAnswer: -1, 0, 2822","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3521)\/(-49) + (-2)\/(-14). Suppose 0 = 4*q + 5*q - i. Solve -5*l + 3*l + 2*x = q, -2*l + 3*x = 10 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 + 1. Solve -z = 4*y - x, -5*z - 2 = 3*y + 5 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 80, 1.02, -0.3, -74 in decreasing order.\nAnswer: 80, 1.02, -0.3, -74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -35*d**2 - 34*d - 2 + 7 - d**3 + 7. Calculate the lowest common multiple of a(-34) and 9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -199 - -587. Let v = -240 + t. Does 9 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 62 and 160.\nAnswer: 4960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.705 rounded to one decimal place?\nAnswer: -2.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1340338530 a multiple of 87?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20321302013 (base 4) to base 3.\nAnswer: 11101120102012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, -1975\/42, 0.31 in decreasing order.\nAnswer: 11, 0.31, -1975\/42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -5*u**3 + 42*u**2 + 24*u + 29. Let r be f(9). Solve -r*m + 2 - 10 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-10)*106140\/(-976)*(-2)\/3)\/(-3).\nAnswer: -29\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*k + 9*k + 12. Suppose k*b + 11 = 131. What are the prime factors of b?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66 = -343*h + 376*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 7*s + 15. Let i = -41 + 34. Let b be c(i). Let r be b\/2*(-3 + 6). Is -52 less than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000051617486 rounded to 6 decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of j**4 - 27*j**3 - 413*j?\nAnswer: 12*j**2 - 162*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -26 - 44 - 42 + 142 + 22*r. Let l(p) = -p**2. Calculate o(l(j)).\nAnswer: -22*j**2 + 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*q + 33 - 58 + 25.\nAnswer: 22*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2915\/3777 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -637.9 plus 121.124?\nAnswer: -516.776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.9 in -7, 0.3, -4, -26?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 292.9774 days in nanoseconds?\nAnswer: 25313247360000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**3 - x**2 - 26*x + 61. Is 11 a factor of s(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (32\/24)\/(1*49\/21). Factor 0*b + r*b**2 + 0 + 2\/7*b**4 + 6\/7*b**3.\nAnswer: 2*b**2*(b + 1)*(b + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4501 (base 6) to base 4\nAnswer: -100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2012468 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -48 + 53. Suppose 5*m - g = 2*m - 5, -20 = j*m - 4*g. Let r(b) = -b + 1. Calculate r(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 4*g. Suppose 3*r - 5 - 1 = g. Solve -r*h + 4*k = -22, -4 = k - 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 2*w**2 + 664*w - 25690 = 0.\nAnswer: -367, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -108a9 (base 14) in base 12?\nAnswer: -1b285","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*y**2 + 197423166*y - 197423166*y.\nAnswer: -9*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-6)\/8)\/((-2)\/(2 - -6)). Let f(n) be the first derivative of 1\/7*n**2 - 2\/21*n**y + 2 - 1\/14*n**4 + 2\/7*n. Suppose f(s) = 0. Calculate s.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 78*m**2 - 34*m**2 - 42*m**2 - m + 1. Let r(v) = 18*v**2 - 12*v + 11. Let q(f) = -44*j(f) + 4*r(f). Determine p so that q(p) = 0.\nAnswer: -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 8869*l**2*y**3 + 3*l**2*y - 53*l**2 - 793*l wrt y?\nAnswer: 26607*l**2*y**2 + 3*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o\/(o*(o\/(o\/o**(-2\/7)))\/o*o)*o*o)**(-50)*(o*o**(-2\/3)\/o*o*o*o)**(-48))\/((o\/o**3*o)**(2\/5))**14 assuming o is positive.\nAnswer: o**(-9474\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77608 is divided by 361.\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -3171 less than or equal to -1392090\/439?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*o - 7*o + 4*o)*(2 + 0 - 3) + 0*o - 3*o + o.\nAnswer: 5*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4\/7)\/((-6)\/(-21)). Let u(g) = g**3 + 22*g**2 + 22*g + 50. Let i be u(-21). Suppose s*o - i = o. What are the prime factors of o?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c*c**(2\/3)))**(3\/7) assuming c is positive.\nAnswer: c**(-2\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 178434 at most as big as 178443?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 27863820 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -4*p**2. Let j(r) = -2511101*r. Calculate j(m(a)).\nAnswer: 10044404*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/51 and -43\/1968.\nAnswer: 33456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 196, 2\/11, 58?\nAnswer: 196","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 126*u**2. Let a(j) = 2*j**2. What is o(a(c))?\nAnswer: 504*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**2 - 27*a - 29. Let u = -1657 - -1631. What is g(u)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 - 2. Let r(u) = 8 - u**2 - x + 2*u**2 + u. Is r(0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*f - 4*f - 2*f + 0*f.\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 12439718 to the power of 1\/2, to the nearest integer?\nAnswer: 3527","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 383094391 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 2*v, 2*v - 32 = -8*y + 3*y. Let a(r) = r**3 - 5*r**2 - 7*r - 3. Let w be a(v). Let f be w\/4 - (-8)\/4. Are 0 and f equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:43 PM and 11:45 PM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -20, 6\/5, 0.3, 0.37, 1\/8?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, -8, -13, 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*x**3 - 14*x**3 + 54*x + 31*x**3 as b*x**2 + y*x + i + l*x**3 and give y.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1004 + 4*n + 1004.\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31176, 126958, 286594, 510084, 797428, 1148626?\nAnswer: 1563678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -19 or -24?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -2010120 (base 3) to base 4\nAnswer: -120102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 5*h**3 + 518*h**2 - 2*h - 512. Let p(q) = -q**2 - q - 1. Let r(g) = m(g) + 3*p(g). Let r(z) = 0. Calculate z.\nAnswer: -103, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 g when two letters picked without replacement from ggggmeegeeememg?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1090357 to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the first derivative of v**2\/2 + 238. Let b(k) be the second derivative of 0 + 0*k**2 - 19\/6*k**3 - k. What is c(b(r))?\nAnswer: -19*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -360 plus -7024960.1646?\nAnswer: -7025320.1646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/(-2)*(-8)\/(-12). Suppose 4*h = -4*x - 28, 0 = -x + 3*x - q*h + 10. Is 25 + -1 + (-6 - x) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*f - 10. Solve 25 = -2*v - 5*r, -3*v + 12 = -f*r - 3 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 48\/95 + -2\/19. Let d = -74 - -135. Let z = 60 - d. Sort c, -1\/7, z in increasing order.\nAnswer: z, -1\/7, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -3*o - 4*x - 4, -o - 4 = x. Let a(q) = -q**2 - q - 1. Let z be a(o). Are z and -1 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a millennium in centuries?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 986 is divided by 76?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**2 - 33*v - 249. What is the remainder when j(-12) is divided by (-2)\/(2 + (-2 - 1))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-9))**15\/(b**(2\/9)\/(b\/b**27)) assuming b is positive.\nAnswer: b**(-1451\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**2\/13 + 23516*y\/13.\nAnswer: 2*y*(y + 11758)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -752233807*h + 619863518 wrt h.\nAnswer: -752233807","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 less than or equal to 16077887\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*k - 7*k + 21 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -196 + -70. What is the tens digit of ((-2)\/(-9) - u\/(-63))*-6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - j)*(3*j - 2*j + 0*j)*(2 + 0 - 1)*(5*j - 5*j - 4*j**2).\nAnswer: 4*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:51 PM and 2:19 AM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 133021000030 (base 4) in base 12?\nAnswer: 28981a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -11 - 9. List the prime factors of r.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -33279017, -33279024, -33279045, -33279086, -33279153, -33279252?\nAnswer: -33279389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4901872013?\nAnswer: 4901872013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15.962 + -0.322. Let w = s - 16. Let u = -0.93 - w. Round u to 1 decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -973, -1961, -2961, -3973, -4997, -6033, -7081?\nAnswer: -8141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33859.31l to millilitres.\nAnswer: 33859310","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 143076 divided by -364\nAnswer: -35769\/91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -138*f**3 - f**2 - 10*f - 3. Let h be p(-5). Suppose 18*j - j = -h. Let s = j + 1893. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 3 j when four letters picked without replacement from jnrgngjgjjjnjj.\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02111 + -0.06?\nAnswer: -0.03889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -55656 - -31076. What is p rounded to the nearest one thousand?\nAnswer: -25000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30) - 1*sqrt(1470))\/(sqrt(6) - (-1*sqrt(48))\/sqrt(8) - sqrt(6))*1 - (sqrt(60)\/(-2*sqrt(12))*-6 + (sqrt(135)\/sqrt(3) + 4)**2).\nAnswer: -33*sqrt(5) - 61","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 2 h, and 1 b when four letters picked without replacement from hrhbbrrhbbb.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -50164.82113?\nAnswer: -50167.82113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -21929\/29 > -757?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13972*n**3 - 2*n**2 - 1392*n.\nAnswer: -83832","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*r + 25*r - 14*r**2 - 10*r to n*r**2 + c*r + g and give n.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the second derivative of i + 0*i**2 + 11\/20*i**5 + 17 + 31\/6*i**4 + 0*i**3. What is the third derivative of m(b) wrt b?\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from {w: 6, a: 12}?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**2\/7 - 6067425*t - 42471974\/7.\nAnswer: -(t + 1)*(t + 42471974)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are 205510 and 205509 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:33 PM and 11:07 PM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2964 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 20143 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 504 + -501. Suppose -22005 = -q*j - 24*j. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((252\/(-45))\/(-7))\/(2\/5).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2303 + -2298. Solve 0 = -4*z + 12 + 4, -m*w = -2*z + 28 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-19\/3))**(-28)\/(h\/((h*h**(-4\/9))\/h))**(3\/5) assuming h is positive.\nAnswer: h**(2647\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 751 - -1570. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 4 = -6. Let p be b\/7 + 36\/(-28). Which is smaller: -1\/5 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the first derivative of 2*s**3\/3 + s**2 - 2*s - 2. Let g be z(-2). Let p(b) = -b**2 - 2*b + 3*b**g + 2 - 3*b. Determine p(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 221143, 221165, 221187, 221209, 221231, 221253?\n\"Answer: 22*p + 221121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -8.4 and 4.4.\nAnswer: -36.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 + (7\/(-1) - 0). Let q be 4\/1 + -3699997*(-4 - -3). Let b be q + 3\/v*2. Round b to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 96324.\nAnswer: 2, 3, 23, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -714 - -362. Which is greater: 2 or l?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(-45) - (24055\/(-1035) - -23)\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*d**2 + 103*d - 7*d**3 - 2 + 3*d**3 - 101*d to the form f + t*d + a*d**2 + b*d**3 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.7 and -19.33.\nAnswer: -32.861","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -86*l + 1974. Give k(23).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 10 + 10 = 0. Suppose b*t = -13 + 53. Suppose -h + r + 7 = 0, 24*h - 29*h + 65 = r. Calculate the remainder when h is divided by t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -73, 3, -2\/125, -1?\nAnswer: -2\/125","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**2 - 813*z + 6571. Give g(8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 9600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1 times -0.5\nAnswer: 0.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**3 - 3*d**2 + 16*d - 14. Let h = 31 + 28. What is the remainder when a(7) is divided by h?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 545 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: What is the ten millions digit of 395134579?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:39 AM and 7:56 AM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (32\/(-6) + 8 + -1)\/5. Factor -i*c**4 + 5\/3*c**2 + c**3 - 1\/3*c**5 + 2\/3*c + 0.\nAnswer: -c*(c - 2)*(c + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, 1\/3, 2, 538\/7, -0.2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the first derivative of z**5\/150 - z**4\/30 + z**3\/15 - z**2\/2 + 3. Let s(x) be the second derivative of k(x). Factor s(p).\nAnswer: 2*(p - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -27*v + 263. Give d(20).\nAnswer: -277","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2017 to the power of 1\/2, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 2 + 3*w - 2*w - 2. Let f(p) = p**2 + 5*p - 9. Let k be f(-7). Let i(c) = 2*c**2 + 4*c + 1. Determine k*m(d) - i(d).\nAnswer: -2*d**2 + d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 0.2, -1\/6136, -4, 125 in increasing order.\nAnswer: -4, -1\/6136, 0, 0.2, 125","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 + 34 = 7*p. Let k(h) = -8*h + 9*h + 6*h + 6 - 5*h**2 + 11*h**2 - h**p. Determine k(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, -66, 20, -4, 2, -8 in decreasing order.\nAnswer: 20, 2, -4, -8, -11, -66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 801 to the nearest 100.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3344*w + 3311*w - 6587*w - 816 for w.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**3 - 16*v**2 + 16*v - 13. Let g be d(-17). Let c be (-4 + 3 - 3)*-1. Suppose -c*h = -2*s, g*s - h = s. Solve s*w - 5 = -w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:49 AM and 5:45 AM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes after 8:54 PM?\nAnswer: 3:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-2))\/(((-255)\/15)\/238)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 48 + -57. Let x(w) = w**3 + 10*w**2 + 6*w - 17. Let d be x(a). Solve 5*p - y = 15 + d, -y = -p + 5 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6147\/(-1366))\/(-4*(-3)\/2).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -5023, -10099, -15175?\n\"Answer: -5076*n + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 3*b + 19, 3*j = b - 6*b - 13. Let p(s) = 2*s**2 - 5*s - 3. Let l be p(j). Let a = -12519 + 12528. What is the highest common factor of a and l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**2 + 9*c - 15. Let h be d(-11). Solve h + 1 = 2*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9016 and 1103816.\nAnswer: 7726712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -93.3 + 93.723. Let b = i - 0.123. What is the nearest to -1 in 2\/17, -3, b?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*p = 29*p - 7408. Suppose -2*t - 3*f = -p - 2010, 1925 = t + 3*f. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-5)\/b)\/b*(b**(-17)*b)\/b*b*b**(-1\/3)*b**(-20\/7))**(11\/2) assuming b is positive.\nAnswer: b**(-3025\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the second derivative of -1\/20*l**5 + 0 - 2*l**2 - l - 1\/4*l**4 - 1\/3*l**3. Let j = 33 + -36. Determine i(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 2 k when three letters picked without replacement from {g: 7, k: 12}?\nAnswer: 154\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 114024243 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - h - 8 = 2*m, 0 = 5*m + 5*h - 60. Solve 5*q = 3*q + m for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 279*p = 180*p + 1188 for p.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 5*h + 3, 2*h = -3*b + 14. Solve 0 = b*r - 2*r + 8 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3 - 84\/(-6) - -39. Solve -4*i - 4*y + 4 = 0, -x*i + 49*i = -4*y + 19 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 171 + -391. Let h = w + 220. Solve 3*j + 2 - 14 = h for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-2\/23))**4)**5 assuming m is positive.\nAnswer: m**(-40\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 3*m - 28. Suppose -m*z + 9*z = 870. Suppose z = 11*p + 105. List the prime factors of p.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2878.81 take away 0.14?\nAnswer: -2878.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.6 rounded to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 677 - 194. Let f = x + -152. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 h when two letters picked without replacement from {i: 2, b: 4, n: 9, h: 4}.\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -48, -121, -326, -729, -1396, -2393, -3786, -5641?\n\"Answer: -11*w**3 + 4*w - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/((-12)\/6))\/(5\/1).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5\/(-20) + 10\/8. Let x(t) = 0 + 3*t + 2 - 1. Calculate the remainder when 17 is divided by x(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 734*b**3*x**3 + 3*b**2*x**3 - 64*b**2 wrt b?\nAnswer: 4404*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the second derivative of 0*i**2 + 0*i**5 - 17\/6*i**4 - 10*i + 0 + 0*i**3 + 9\/14*i**7 + 0*i**6. Find the third derivative of u(a) wrt a.\nAnswer: 1620*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/10)\/(18\/(-180)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 64825 = 3*l, 24*u = 22*u - 3*l + 25930. Round u to the nearest one hundred.\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/9 and -24\/337.\nAnswer: 3033","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2467711, 4935280, 7402849, 9870418?\nAnswer: 12337987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -0*l - l. Suppose w - 12 = -l*w. Let o(d) = d**3 + d**2 - 3*d + 4. Let j be o(w). Solve -5*t = 2*r + j, 10*r + 5*t = 5*r - 40 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**2 + 27*i - 77. Let w be y(24). What is the nearest to -1 in 0.17, 2, w?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 3*z + 3. Let u = -38 - -42. What is the smallest common multiple of u and j(3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5356000 to the nearest ten thousand.\nAnswer: 5360000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -29*l**4 - 386*l**3 - 144*l**2 - l. Let b(y) = 7*y**4 + 97*y**3 + 36*y**2. Let n(x) = -9*b(x) - 2*o(x). What is the third derivative of n(c) wrt c?\nAnswer: -120*c - 606","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, -672, 1 in descending order.\nAnswer: 3, 1, 0, -672","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u**2 + 1 - 1)*(-2*u**2 - u**2 + 5*u**2) + 61*u**3 + 119*u**3 - 29767*u**4 + 29770*u**4.\nAnswer: -u**4 + 180*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 300626?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13)\/((-273)\/18)*(-35)\/5.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3365*c**4 + 105*c - 9?\nAnswer: 40380*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5471 - -51072?\nAnswer: 56563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:29 AM and 2:54 PM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**3 + 13*c**2 + 6. Let q be t(-13). Let v = -3 + q. Let -1\/4*n**4 + 0*n + 1\/2*n**v - 1\/4*n**2 + 0 = 0. What is n?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 10*t. Let p(r) = -574*r. Determine y(p(s)).\nAnswer: -5740*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-26712)\/(-784) + -36 - (3 - 7)\/2.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - 5*g + 2*g = 12, 0 = s - 3*g - 12 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a milligram in micrograms?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 148025161.129 take away -5?\nAnswer: 148025166.129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -34, -38, -42?\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 930?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1094556 - 1094556 + 8*h**3.\nAnswer: 8*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -17*c - 21. Suppose 52 = -h + 42. Let r be w(h). Suppose 2*o - 2*v - 62 = 0, 5*o + 5*v = 4*v + r. Is 6 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 20 - 15 = 0. Suppose -17*k + 15*k = 26. Let d = c - k. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.415 - -1.015. Let l = 4 + -5. Let r = -86 - -428\/5. Which is the closest to r? (a) l (b) 0.4 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 5) + 73 + (-56 - 1)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 126\/162*(-4)\/14?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*m + 24 = -2*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2192*c**3*i**3 + 6*c**3 - c**2*i**2 + 44*c*i wrt i?\nAnswer: 13152*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (17\/81)\/(89420\/78900).\nAnswer: 5\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 13\/4 + 5\/(-20). Let z(k) = 2*k + 26. Let n be z(-12). Put n, -3, d in increasing order.\nAnswer: -3, n, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 38 and 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.03 in -6, -3, 228.4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17612047?\nAnswer: 71, 248057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1452 + -1)*15\/(-105)*-7. Let o be (-2718)\/5 + 2\/(-5). Let h = o + g. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the third derivative of 5*h**4\/8 - 3*h**3 - 933*h**2 - 2. Determine b(2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 + (-1 - 3 - 10).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (0 - (2 - 1)) + 0\/(-34)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - 4*r + 2*i + 1 = 0, 2*r + 5*i = -31 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2880 divided by 6\nAnswer: 480","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -22 + 27. Suppose 8 = q + p. Solve 0 = -q*r - 0 + 3 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1433095 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 31 - 1788*g - 2*g**2 - 11 - 27 - 2*g**3 + 7 as o*g + f + t*g**3 + k*g**2 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 25*l**4 - 37700*l**3 + 14212868*l**2 - 32*l - 16. Let t(b) = 5*b**4 - 7540*b**3 + 2842574*b**2 - 6*b - 3. Let x(j) = -3*k(j) + 16*t(j). Factor x(r).\nAnswer: 5*r**2*(r - 754)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48)\/sqrt(6) - (sqrt(162) + sqrt(2))**2*-6)*-1.\nAnswer: -1200 - 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 532*b + 57. Let v(i) = 19*i + 2. Let f be 1026\/(-81)*(-18)\/(-4). Determine f*v(w) + 2*r(w).\nAnswer: -19*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 divided by -1727914?\nAnswer: -5\/863957","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 687531125?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -14*m**4 - 159*m + 159*m + (m**3 - 3*m + 3*m)*(2*m + m + 0*m) - 5*m**2 - 2*m**4 + 5*m**2.\nAnswer: -13*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36554 is divided by 103?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -8*h**2 - 8*h - 14. Let l(r) = -9*r**2 - 20*r - 26. Let u(s) = 3*s**2 + 7*s + 9. Let a(m) = 4*l(m) + 11*u(m). Calculate -14*a(k) + 5*v(k).\nAnswer: 2*k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -4*y**2 + 128*y + 5. Let k be u(32). Which is the biggest value? (a) -2 (b) 2\/27 (c) 3 (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*n**3 + 3*n**3 + 2*n**3 + (-9*n - 2*n + 4*n)*(5*n**2 + n**2 - 4*n**2) - n**2 + n**2 - 2*n**3.\nAnswer: -14*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 2*y - 3578 = 0, -1786 = -2*h + 139*y - 137*y. What is the greatest common divisor of 2 and h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -376*z - 442. Give r(-1).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/(-5) + ((-2)\/2 - (-57 + 103)\/23)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 81 (b) -4 (c) 3\/2 (d) 113 (e) 216 (f) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 35, 491, 1753, 4223, 8303, 14395, 22901, 34223?\nAnswer: 48763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1011102 (base 3) to base 10\nAnswer: -848","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 21 - 4 = 5*b, b + p - 2 = 0. Let u = -14 + 20. Let q be (1\/b)\/(2\/u). Solve -3*r = q - 4 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 857*u**2 - 37*u - 203. Is d(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 24*s + 8. Let r(b) = 25*b + 8. What is 7*r(t) - 6*u(t)?\nAnswer: 31*t + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0*(3 - 2) - (-87)\/4524*-78\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r + 2*n + 4 - 2, -4*r + 3*n = 20. Let f be r\/(-56) - (-36)\/(-126). What is the nearest to -2 in f, 3, 1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 105 - 4*o + 12 + 120 in the form p + i*o and give p.\nAnswer: 237","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.004401534 - 8\nAnswer: -7.995598466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 2*x**2. Let i(a) be the third derivative of -4*a**2 + 0*a + 0*a**3 + 0 + 1\/24*a**4. What is c(i(r))?\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -79*d + 5. Let n(a) = 119*a - 8. Determine 8*f(p) + 5*n(p).\nAnswer: -37*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3493 and 2810867.\nAnswer: 499","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 297, 3, 4, 53 in descending order.\nAnswer: 297, 53, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-4)\/(-33))\/((-10)\/(-15)). Sort a, 0.2, -1.\nAnswer: -1, a, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**2 - v - 1. Let a(k) = 4*k**2 + 6*k + 12. Calculate -a(z) - 6*f(z).\nAnswer: 2*z**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 + -2. Let q be 20\/25*(-5)\/u. What is the remainder when 14 is divided by (24\/4)\/((-3)\/q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -6*x**2 + 77*x + 101. Determine g(13).\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate g*i**2 - 2*g*i*w**3 + 7*g*i + 2*i**2 - 4*i*w**3 + 16*w**2 wrt g.\nAnswer: i**2 - 2*i*w**3 + 7*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.0458729614 + 41.9541336386. Let g = 24 - 66. Let x = g + c. What is x rounded to six decimal places?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*h - 2*h - h**2 + (h - 2*h + 2*h)*(81*h + 58*h + 10*h).\nAnswer: 148*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 9, 2, -2, 905, -4, -1.\nAnswer: -4, -2, -1, 2, 4, 9, 905","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**2 - m - 1. Let c(k) = 4*k**2 - 7*k - 14. Calculate -c(a) + 6*v(a).\nAnswer: 2*a**2 + a + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -143633556565.670091 + 143634959209.3. Let h = c + -1402645. Let g = h - -1.37. What is g rounded to five decimal places?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v + 12, -5*y + v = -0 + 9. Let j be ((-28)\/126)\/(y\/9). Find the second derivative of 11*l - 7*l - 22*l**j + 6*l**2 wrt l.\nAnswer: -32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(((sqrt(84) - (1*sqrt(84) + sqrt(84)))*2)\/(sqrt(48)\/sqrt(36)) - 4*(sqrt(112)*-1 - sqrt(112))*1).\nAnswer: 104*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 26584 to the nearest integer?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**2 - 12*s. Let k(c) = -6*c**2 - 64*c. Let p(l) = -3*k(l) + 16*q(l). Let i(m) = 405*m. What is i(p(j))?\nAnswer: 810*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3996*l - 3987*l - 86800*l**3 + 7983*l.\nAnswer: -86800*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x\/(x\/((x\/(x*x\/(x**(2\/19)*x))*x)\/x))*x*x**(1\/9)*x*x)\/((x**(1\/4)\/x)\/x**(4\/11)) assuming x is positive.\nAnswer: x**(40103\/7524)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 m when two letters picked without replacement from vvvvvmvvvvvv?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3000?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**3 + 5*u**2 + 18*u - 26. Let v be i(7). Solve -174*y**4 + 3*y**5 + 45*y**v - 72 + 135*y**4 + 66*y**2 - 30*y + 27*y**3 = 0.\nAnswer: -1, 1, 2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(891) + 1 + 0 + sqrt(44)\/sqrt(4).\nAnswer: 1 + 10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 406093183 a multiple of 2938?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 252 - 106. Let s = f + -76. Calculate the remainder when s is divided by 37.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -8680475 + -5?\nAnswer: -868047a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes after 8:35 AM?\nAnswer: 4:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*y + 3*d - 22 + 18 = 25*y, 0 = -4*d for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 222 = 66. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-15 - 1) + (12 - 40 - -32)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1521 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*x + d + 7, -d + 2 = -128*x + 132*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - 4. Let o(l) = -4*l + 5*l + 111*l**3 - 58*l**3 + 4 - 52*l**3 + 4*l**2. Let v be o(w). Which is greater: v or 8\/23?\nAnswer: 8\/23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 266*j**2 + 16223*j - 128. What is s(-61)?\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3365 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (18200\/125)\/((-2)\/(-10)). Let u = g - 516. Let a be u + -2*3\/(-2). What is the highest common factor of a and 86?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + 11 - (-40 + 37 - (3 + 1)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -11*i**3 + 5*i - 4. Calculate t(1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15741?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 4*c + 4 = 0, -l - 27 + 23 = -4*c for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-7) + (-408)\/7. Let k be 483\/(-2737) - 2898\/51. Is m bigger than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 10*z + 7 = 0. Which is smaller: -2 or z?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by 183.\nAnswer: 2\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27646.\nAnswer: 2, 23, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -2*b**2. Let v(s) = s**2 + 12. Calculate v(r(a)).\nAnswer: 4*a**4 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-59)\/((-7965)\/324))\/(2\/5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11 + -11. Let d(m) = m + 5. Let x be d(q). Let b = 0 + 8. Sort x, -4, b in descending order.\nAnswer: b, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -2*s + 31. Let g be f(0). Let t = g + -11. What is the smallest common multiple of (-1 - (0 - 19))\/(15\/10) and t?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 802012 greater than 802044?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13 - -7. Let g be 6\/4 + (-3)\/v. Solve 0 = -2*t - 0*t + g for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42469 is divided by 1340?\nAnswer: 929","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 0*k**2 - 2*k**2 - 924*k**3 + 3*k**2 - k**2 - 3*k**2.\nAnswer: -924*k**3 - 3*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**4 - 6*s**3 + 12*s**2 + 6*s. Let r(z) = 2*z**4 - 7*z**3 + 13*z**2 + 7*z. Let h(y) = -7*l(y) + 6*r(y). Find the third derivative of h(o) wrt o.\nAnswer: 120*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - 2 - 1247\/319?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (75*(-48)\/(-1500))\/(-1 + 2 + 451\/(-495)).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 165 and 132.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (c**4 - 5*c**4 + 3*c**4)*(7 - 72 - 71)*(2 - 2 - 2) as x*c**3 + j*c**4 + o*c**2 + z + n*c and give j.\nAnswer: -272","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 3, 4*j + 2*d + 1702 = 8*j. Does 19 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1616, 7047, 16296, 29363, 46248?\n\"Answer: 1909*t**2 - 296*t + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 697364 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 83139, -0.6, 176\/7 in ascending order.\nAnswer: -0.6, 176\/7, 83139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33478596 is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x**2 + 0*x + 0*x)*((-11*x - 52*x - 13*x)*(5*x - 3*x - 4*x) + (-4*x + 4*x - 2*x**2)*(-2 - 4 + 4)) + (-x**2 + 2*x**2 - 3*x**2)*(-x**2 + 3 - 3).\nAnswer: 470*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = d - 109. Suppose 2*y = i - 0*i - d, -67 = y + 2*i. Let w = -54 - y. Put -4, w, 2, 13 in descending order.\nAnswer: 13, w, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0.3 (b) -100 (c) 1 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the third derivative of 53*l**4\/12 - 14*l**3\/3 - 2*l**2 - 24*l. Differentiate s(c) with respect to c.\nAnswer: 106","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -158*y + 75*y + 80*y.\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.041273 to 3 decimal places.\nAnswer: 0.041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -35*m**4 - 33735*m**3 - 10848195*m**2 - 1166939325*m - 992284830.\nAnswer: -5*(m + 321)**3*(7*m + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -407, -1273, -2401, -3533, -4411, -4777, -4373?\n\"Answer: 43*q**3 - 389*q**2 - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 2*z - 162. Let a be d(86). Solve -2*t + a = -4*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 n when two letters picked without replacement from {n: 1, b: 2, g: 1, v: 1, q: 1, l: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-6)\/60*(-118)\/(6\/(-3)) and 85\/16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 47\/5? (a) 0.3 (b) -2\/11 (c) 1\/9 (d) -0.6 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**2 - 27*w + 243. Let z be t(-34). Let d be (-420)\/(-15) - (0 + 1). Let f = -27 + d. Solve -z*v + 7*v = f for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in -3, 103, 1\/4, 4, 1\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 3\/40 of a second?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7 - 7 - 4*t)*(-t**2 - 2*t**2 + 2*t**2) + 3*t**3 - t**3 - 5*t**3 to x + r*t**2 + k*t + i*t**3 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10000000011001110101000001 - 0?\nAnswer: -10000000011001110101000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*r**2 + 185*r + 10 - 15*r**2 + 4*r**2 + 118*r**2 = 0.\nAnswer: -1, -2\/35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -4*d + 34. Let q be t(9). Let c be (-9)\/(-7 - -8)*q\/6. What is the nearest to 3 in 0.5, c, -5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 + -11403?\nAnswer: -11400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -859036401\/150290 - -11202\/3955. Let p = w - -39993\/7. Let c = -1\/38 - p. Which is bigger: 1 or c?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 1 + 121 = 0. Solve 0*q = 6*q + d for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 310053*j - 155030*j + 1264 - 155023*j + 3*j**4 - 466*j**2 wrt j?\nAnswer: 12*j**3 - 932*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 7fb + 1ea1?\nAnswer: 269c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 4*a)*(-3 + 4 + 0*a - 3*a).\nAnswer: -12*a**2 + 4*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 8152, 16339, 24526?\n\"Answer: 8187*o - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b**2\/7 + 15800*b\/7 + 83121596\/7 = 0.\nAnswer: -2993, 6943","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 180228, 180562, 180896?\nAnswer: 181230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13533 (base 6) to base 3.\nAnswer: 2221110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (-1*(sqrt(900) + sqrt(900)*-2 + sqrt(900)))\/((sqrt(405) - sqrt(405)*2)*-5))**2*-6.\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13 - -8. Is ((-4)\/(-3))\/(m\/(-30)) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 522245454 at least as big as 522245454?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 26 and 370019?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u*u*u**(-5)\/u))\/u*u\/u**(-1\/5))**(-22)\/((u*u**(3\/5))\/(u*u**6))**(3\/8) assuming u is positive.\nAnswer: u**(-899\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((4\/1)\/(-2) - -7)\/(4\/4). Put u, 35, 0, 3, 2 in ascending order.\nAnswer: 0, 2, 3, u, 35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.6104 rounded to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the third derivative of y**11\/18480 - y**7\/1260 + y**4\/8 - y**2. Let r(v) be the second derivative of p(v). Find the third derivative of r(l) wrt l.\nAnswer: 360*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1185329?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add together -24 and 0.10138.\nAnswer: -23.89862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 71\/5 of a kilogram?\nAnswer: 14200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-82)\/9 + (5 - 7 - -12)?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -1514.836415?\nAnswer: -1514.836415","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2502 + 4999 - 2497 - 3*a - 6*a - 56*a.\nAnswer: -65*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3281053 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 853712655?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i - 2. Let h(z) = 2*z + 4. Determine 4*h(d) + 9*o(d).\nAnswer: -d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000016011 rounded to 7 decimal places?\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.0899, 1, 2\/17, 0.11?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 180.9 less than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 21862 - 14109. What is the tens digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 16*q + 57525 - 57765 for q.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 1, 0.089365, -0.5, -0.3, 4\/3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*f + 216 = 14*f. Suppose -f*l + 13*l - 130 = 5*k, 3*k = 2*l - 66. Calculate the greatest common factor of l and 240.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 9*t**3 - 36180321*t**2 + 60300516*t - 24120204 = 0. What is t?\nAnswer: 2\/3, 1, 4020034","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 9686 to the power of 1\/2, to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 - 13182*w**4 - 382*w**2 - 225*w**2 - 1 + 13184*w**4 + 0 as f*w**2 + g*w**4 + t*w + s*w**3 + n and give f.\nAnswer: -607","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -208*y - 352*y - 265*y in the form j*y + r and give j.\nAnswer: -825","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (12 - (0 - -8))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ydyd when four letters picked without replacement from {d: 2, y: 7}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91 is divided by (-16)\/(-3)*225\/50?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes before 8:26 AM?\nAnswer: 1:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((2*sqrt(20)*-5)\/(sqrt(640)*2) + (sqrt(216)*-1 + sqrt(216) + sqrt(216))\/sqrt(12) + -4).\nAnswer: -19*sqrt(2)\/4 + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 at least 0.12916?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 145.6881 months in years?\nAnswer: 12.140675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 168 and 168.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 40, 74, 108, 142?\nAnswer: 176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (87\/(-29))\/(522\/(-87)*(-1)\/(-20))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + -12. Let r = -10.2 - y. Which is bigger: -5 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**3 + 248*l**2 + 7817*l + 374. Calculate s(-37).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 5*u**2 - 3*u**2 - u**2. Let s(n) be the first derivative of n**2\/2 + 15. Calculate r(s(t)).\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*m**3 + 6942*m**2 + 76*m + 613 wrt m.\nAnswer: -18*m + 13884","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12\/121975 + 110979837\/121975. Which is smaller: u or 911?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49429 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 465339702?\nAnswer: 2, 3, 77556617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 756403 to the power of 1\/4, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/15, 0.28, -4, 3\/5, -3?\nAnswer: 0.28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -295 - -3833\/13. Let r = 491 - 491.4. Put k, r, 1\/30 in descending order.\nAnswer: 1\/30, k, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/3 - 1)*(-2)\/(-3)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9*2\/8*(-352)\/132?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -434.47 + 2.47. Let u = f + 434. Let d = -1.5 + 1. Which is the closest to -1\/2? (a) d (b) u (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.05 (b) 1484\/31 (c) 19 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes after 5:32 PM?\nAnswer: 2:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -142859557 by -142859557.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 257830752.\nAnswer: 2, 3, 43, 62459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 542 or 541?\nAnswer: 542","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(-1\/4)*w*w\/(w*w**(-2\/13)\/w))**(-35))**(2\/13) assuming w is positive.\nAnswer: w**(-5285\/338)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*x = 4*x. Let o = 0.03 + 1.97. Let r = o - 3. Which is the nearest to x? (a) -2 (b) -0.1 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*c - 8 = -12*c - 2*a, -4*c + 7*a + 5 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 49342.35 nanograms to tonnes.\nAnswer: 0.00000000004934235","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14, 91, 312, 749, 1474, 2559, 4076?\nAnswer: 6097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 3, 98, 361, 876, 1727, 2998?\n\"Answer: 14*j**3 - 3*j - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 1384414338976\nAnswer: 1384414338977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1774 times 922?\nAnswer: 1635628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + 6 + 0 = 2*b, 3*b = -9 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.138386l to millilitres.\nAnswer: 4138.386","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbbvbvbb. What is prob of picking 2 v and 1 b?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -37.292 to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/12)\/((9\/((-729)\/36))\/(4040\/(-15))).\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**2 - g + 8. Let t be w(6). Suppose -40 = -5*c + 5. Suppose t = 3*f - 0*f - 2*q, -3*q = f - c. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1\/7, -23\/5, -3\/8 in descending order.\nAnswer: 5, -1\/7, -3\/8, -23\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**5 - 15*n**4 - 113*n**3 - 261*n**2 - 248*n - 84.\nAnswer: (n - 21)*(n + 1)**2*(n + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 14) to base 12\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 2*q**2 - 2*q - 7. Let f be l(3). Let d(x) = 0*x**2 - x**2 + 4*x + 2*x. Let y be d(f). Solve -10 = -5*w, 11 = -y*j - 0*j + 3*w for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 311*r**3 - 12*r**2 + 1124*r + 2 wrt r.\nAnswer: 1866*r - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -78270, -156536, -234802, -313068, -391334?\nAnswer: -469600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(3\/4)*h*h**8)**(-2\/141) assuming h is positive.\nAnswer: h**(-13\/94)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -22 - -27. Which is the nearest to 1? (a) 0.1 (b) l (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 255 or 256?\nAnswer: 256","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2177 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4.4, -2\/3, 2\/7, 42, -6?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -3676.09931 to 1 decimal place.\nAnswer: -3676.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1509300.874 rounded to the nearest 10000?\nAnswer: -1510000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -62 + (-5 - -4) - (12 - 27 - -9).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1501*x - 20*x + 904*x + 175*x.\nAnswer: 2560*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 1\/4 (b) -10.74 (c) 3 (d) 0.03 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -109077 + 212464 - 103387 - 5*h.\nAnswer: -5*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/21 and -31\/35?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b926 (base 12) to base 8.\nAnswer: -47556","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -33 - 104344123?\nAnswer: -104344211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1303.\nAnswer: 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -15922452 divided by 26?\nAnswer: -612402","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**2 - 40*y + 85. Let g be z(-42). Let r be (5*(-3 + 4))\/g. Let o(k) = -k + 4. Let l be o(4). Solve -5*v - 25 = l, v - r*v - 16 = 2*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the second derivative of -275*g**3\/6 + 185*g**2 + 6*g - 3. Find the first derivative of t(o) wrt o.\nAnswer: -275","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3346413*q**3 - 5244216*q**2.\nAnswer: 20078478","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 15*t**2. Let x(h) be the first derivative of -7*h**3\/3 + 16. Give -4*q(l) - 9*x(l).\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 93 (b) -0.023 (c) -0.4 (d) -2 (e) 8\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -10 or -2877983?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -79 + 79.732. Let a = -0.01 - 0.69. Let b = w + a. Round b to 2 decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -110*f**2 + 7 + 25 + 266*f**2 - 167*f**2.\nAnswer: -11*f**2 + 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -697366, -1394719, -2092074, -2789431, -3486790, -4184151, -4881514?\n\"Answer: -c**2 - 697350*c - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5.8 - 0.8. Let n = -229.3 - -229. What is the fourth biggest value in n, v, -0.5, 3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43010888 to the power of 1\/2, to the nearest integer?\nAnswer: 6558","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -127, -140, -179, -256, -383, -572?\n\"Answer: -2*i**3 - i**2 + 4*i - 128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 948309.8 and -18?\nAnswer: -17069576.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((sqrt(108) - sqrt(108)*2) + sqrt(108) - sqrt(108)) + 5)**2 + (sqrt(12)\/sqrt(100)*6 + -4)**2.\nAnswer: -1248*sqrt(3)\/5 + 44333\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the third derivative of r**7\/945 - 2*r**6\/27 + 5*r**5\/9 + 1250*r**4\/27 + 15625*r**3\/27 + 111*r**2 + 3*r. Factor m(x).\nAnswer: 2*(x - 25)**2*(x + 5)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 577.8 - 566. Let a = -12.8 + y. Put -4, a, -0.4 in descending order.\nAnswer: -0.4, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3631478 is divided by 77.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**2 - 41*g + 569. Let w be b(27). What is the greatest common divisor of 1 and w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.5, 88480, 5, -2, 28?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*o + o + 4*o)*(-15 + 104 - 34)*(-5 + 5 - 3).\nAnswer: -165*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*k + 7*d + 2 = 2*k, 4*d - 2 = -2*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 286\/3 + -94. Put -1.5, i, -0.1 in ascending order.\nAnswer: -1.5, -0.1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 - -11. What is the derivative of 2*k**2 - f*k**2 + 3*k**2 - 2 - 1 wrt k?\nAnswer: -6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 15 - 15. Let x be t*(-5)\/15 + 1. Solve 0 = -3*r - x + 7 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -463.3 + 463. Sort 1, 0.31, m, -1\/33, -4 in decreasing order.\nAnswer: 1, 0.31, -1\/33, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*z**6 - 4691693*z**3 - 58796076*z**2?\nAnswer: 360*z**3 - 28150158","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:10 AM and 3:22 PM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 19\/5 or -1?\nAnswer: 19\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 264 divided by 1178\nAnswer: 132\/589","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 17 = -2*b, -2*b - x - 17 = b. Let q = b - -9. Suppose 0 = -0*v - q*v + 10. Solve s - v*s - 9 = 4*a, 10 = -5*a for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 5*n - 22 = 0. Let m = 26 - n. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 347 and 1448725.\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 489686 a multiple of 136?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-98)\/56*4\/14?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/59757270 and 73\/268572.\nAnswer: 119514540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 755 divide 163690039?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**2 + 2*u. Let f be r(-2). Let w be (-20)\/(-15)*6\/2. Solve 0 = t - w*q - 15, f = 3*t - 3*q for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -322*j**2 - 249*j**2 - 244*j**2 - 247*j**2 + 1055*j**2.\nAnswer: -7*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**4\/6 - z**3\/3 - z**2\/6.\nAnswer: -z**2*(z + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 243*x - 242*x - 2*d - 17 = 0, 31 = 3*x - d. Let a(o) = -2*o - 2*o + 11*o**2 - 3*o**3 - 9*o + 2*o**3 - 2. Calculate a(x).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d + 6 = 2*d. Let o be (d - 0)*(-7 + 7). Factor o + 2\/3*n**5 + 0*n - 2\/3*n**4 + 0*n**3 + 0*n**2.\nAnswer: 2*n**4*(n - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5817*r - q = -5821*r + 137, 0*r - r + 155 = -92*q + 29 for r.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 6 (b) -0.063 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.04, -1.2, -0.4 in increasing order.\nAnswer: -1.2, -0.4, -0.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4 - -3) + -4 - -1. What is the second smallest value in a, 0, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -5*j**3 - 2309320*j**2 - 266613299945*j + 8000477521350 = 0.\nAnswer: -230947, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5 - 75*q**4 - 27 + 244*q**3 + 176*q - 13*q**4 + 12*q**5 - 312*q**2.\nAnswer: 4*(q - 2)**3*(q - 1)*(3*q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-9) + 35845\/315. Let a = f + -114. What is the smallest value in -5, a, 8?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*p - 140619 = 13*p - 139563 for p.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1833 divided by -2\nAnswer: -1833\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 414 = 19*g + 42*g - 15*g for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -147105 or -1176833\/8?\nAnswer: -1176833\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 136.1885427 seconds to weeks.\nAnswer: 0.00022517946875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 114957 and 3273021?\nAnswer: 2169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the third derivative of -23*n**5\/15 - n**4\/24 - 127*n**3\/6 + 1494*n**2. What is the second derivative of p(j) wrt j?\nAnswer: -184","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 6 = -6. Let o be (6\/n)\/((-3)\/(-4)). Suppose -w + 3*d + 9 = -6*w, 2*w = o*d + 6. Solve 0*i + 2*i - 2 = w for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, w: 1, a: 1, r: 1}. Give prob of picking 1 w and 1 r.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and 0.343745426.\nAnswer: -0.1374981704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, a: 1, h: 2, v: 1}. What is prob of sequence hhv?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 - 4603*l + 7 - 6160*l + 8.\nAnswer: -10763*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 15424.1334s?\nAnswer: 0.1785200625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (14\/(-24))\/((9240\/(-45))\/22)\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6c - 255b?\nAnswer: -24de","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 27 and 10377.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2862362941 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((1 + sqrt(252) + 2 - (sqrt(252)*-2*4 - sqrt(252)))*-1 + -1)*-2)**2.\nAnswer: 7680*sqrt(7) + 403456","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 1 = -l, -5*w + 2*l = -0*w. Let p be ((-570)\/20)\/((-3)\/4). Suppose u - 1 + p = w*o, -3*o = 2*u - 45. Does 17 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 598.344 + 0.656. Let s = 598.99999413 - l. What is s rounded to 6 dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 381300 a multiple of 410?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -362*v**3 + 2*v - 36. Let n(b) = -1088*b**3 + 6*b - 102. Calculate 6*n(t) - 17*r(t).\nAnswer: -374*t**3 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 119*t**2 - t - 1. Let s(x) = -2*x**2. Calculate a(s(d)).\nAnswer: 476*d**4 + 2*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2438, -2270, -1984, -1592, -1106, -538, 100?\nAnswer: 796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 582 a factor of 47565?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*s - 726 - 2290. What is the highest common factor of 29 and s?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -205 + 489. Suppose 0 = c - x - 69, -3*c - 81 = -x - z. Calculate the remainder when c is divided by (-1)\/(12\/(-284)) + 4\/(-6).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**2 - 42*m - 70. List the prime factors of l(-12).\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*o**2 + 1000*o**3 + 789*o**3 - 295*o**3 + 2*o**2 + 0*o**2.\nAnswer: 1494*o**3 + 2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 161303100 or 161303099?\nAnswer: 161303100","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4043024 (base 7) to base 9.\nAnswer: -813128","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -41835, -41838, -41841?\nAnswer: -41844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60\/((-104)\/(-1235)*(-1083)\/(-114)).\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 5, k: 8}. What is prob of sequence sk?\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 337735705 + -5?\nAnswer: 337735700","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 48241869*k + 11062847?\nAnswer: 48241869","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g + 3*n, -7*n + 9*n = -g - 1. Solve 0*y - g*y = -10*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1529136630.\nAnswer: 2, 3, 5, 7, 59, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1481548 or 1481529?\nAnswer: 1481548","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 29247017 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 49 - 52. Let c be k - (-13)\/4 - (-50)\/(-8). Let t(y) = -y**3 - 5*y**2 + 7*y + 8. Calculate the least common multiple of t(c) and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12023703?\nAnswer: 3, 43, 31069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fmfvkvvnmvnmk. Give prob of sequence vf.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 557 + -40105\/72. Which is bigger: x or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 660 = -2*s. Calculate the remainder when s is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 7*r**2. Let y(w) be the first derivative of w**6\/180 + w**3\/3 + 3. Let h(v) be the third derivative of y(v). Calculate h(z(k)).\nAnswer: 98*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -31 - 109. Let i = 25 + k. Let y(x) = -x**2 + 6*x + 1. Let n be y(6). Sort n, i, -7.\nAnswer: -7, i, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 101*u**2 + 41 + 10 - 49*u**2 - 51*u**2 in the form k*u**2 + s + m*u and give s.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11111101010000110 + -110?\nAnswer: -11111101010001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -151*p**3 + 8*p**2 - 7*p. Calculate b(1).\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are -31427\/10 and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5\/4 in 2\/5, 2, -227152?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12 and 2358?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 10 = -26. Is o a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -10 - 9*i**2 + 2*i**2 - i**3 - 153*i + 137*i. Suppose 5*b - 2 = 2*v, -5*v - 26 = -3*b - 2. Is x(v) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 67 = 1. What is the remainder when s is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v + 4112 = -3946. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 23149 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -222 (base 6) to base 2\nAnswer: -1010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 452.1599 centimeters in micrometers?\nAnswer: 4521599","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -12) + 2 - 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -13*a**3 + 11*a**2 - 18. Let h(p) = 7*p**3 - 6*p**2 + 9. Determine -6*g(f) - 11*h(f).\nAnswer: f**3 + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 - -6. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -4*l + 540. Suppose 0 = 3*c - l - 54. Suppose -4*k + c = 6*f - f, -4*f = 4. Round k to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.03, -0.5, -3\/5, 12\/11, -0.052?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -11*m - 114. Let o(z) = 2*z + 4. Let c(y) = -4*o(y) - x(y). Let q be c(-32). Solve 4*w - 28 = 3*l, -w = -5*w - q*l + 8 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 349*u + 3601 = 626*u. Sort -3, -1, u, 76 in descending order.\nAnswer: 76, u, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-2)*150\/(-15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/6 (b) -2259 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - (6 - (-196)\/(-24)))*6.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3258\/(-1810))\/(174\/(-10))?\nAnswer: 3\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the third derivative of i**6\/120 - i**5\/60 - i**4\/6 - i**3\/6 - 14*i**2. Determine m(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1715 is divided by 506.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the first derivative of r**3\/3 + 13*r + 8. List the prime factors of k(7).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2003239752 + -2003239988.9999829. Let q = -237 - u. Round q to six dps.\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 2*l + 2 = 0, -2*l + 7 = 2*j - 1. Solve -16 = -j*i - 2*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes after 12:26 AM?\nAnswer: 5:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-16)\/20 - 7968\/(-160). Solve -100*v - 204 = -t*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/15, 2\/9, 2, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 28 and 574?\nAnswer: 1148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes before 9:01 AM?\nAnswer: 5:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -3*r. Let a be (49\/14)\/(2\/(-4)). What are the prime factors of d(a)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 330811589 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 12\/(-2*(-3)\/6). Suppose -y = -4*p + 8. Let z = -6 + 10. Solve -p*i - 1 = -z*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -65*d**4 - 17*d**4 + 4*d**4 + (3*d - 3*d + d**4)*(2 + 0 - 3) to the form l*d**4 + v*d + f + t*d**3 + s*d**2 and give l.\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 g when two letters picked without replacement from tgtz.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7485 divided by -15.\nAnswer: 499","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 65 - -52. Suppose -115*j - 4 = -l*j. What is the lowest common multiple of (-3)\/(-6)*-1*-22 and j?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*o - 40692 = 12480. List the prime factors of o.\nAnswer: 2, 3, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(14\/5)*n**(-3\/5)\/n*n*n assuming n is positive.\nAnswer: n**(16\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:53 PM and 10:49 PM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*i**3 + 7 + i**3 - 7.\nAnswer: -3*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*z + 74 - 354 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 20\/(-25) + 1 + 87\/15. What is the greatest common factor of 14 and v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*w**5 + 4 - 4 + (3*w**5 + w**5 - 3*w**5)*(1 + 2 - 5).\nAnswer: 4*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s - 4*s + 3*s)*(3*s - 3*s + 3*s**2)*(0 - 2 + 0).\nAnswer: 12*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 - 6*u**2 - 7*u - 5. Let h be l(-5). What is the units digit of 3\/h*(8 + 2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3c + e?\nAnswer: -2e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -6*z**2 + 1238*z - 822. Is 34 a factor of d(198)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1111, -2188, -3241, -4258, -5227, -6136, -6973?\n\"Answer: 2*t**3 - 1091*t - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-27)*226*32535\/2410?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2009093604 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - -16 - (0 - (-35 - (-6 + -2)))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is d1dd + -e?\nAnswer: d1cf","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 7}. What is prob of picking 3 e?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - 0. Let j = p + 1.1. Which is the second smallest value? (a) 0.5 (b) j (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81*d = -85*d - 35288. Let q be (-80)\/(d\/11025 + (-20)\/(-25)). Round q to the nearest ten thousand.\nAnswer: 440000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4349107?\nAnswer: 7, 621301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**2 + 2*u + 2. Let b = 20 + 1. Suppose -b = -v + 5*z, 6*z - 6 = 2*v + 8*z. Let s(j) = j**2. Calculate v*y(g) - s(g).\nAnswer: -2*g**2 + 2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + w = 198, o - 40 - 2 = -4*w. Does 10 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3990 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -700 (b) -3 (c) 1\/4 (d) -355 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 34719?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6052 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**3 + 17*f**2 - 14*f - 26. Let a = 3420 + -3404. What is d(a)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 0 = f - 2, -2*z - 17 = 5*f. Let x be -3 - 3*(-3)\/(-9)*f. Suppose x = -16*t + 11 + 21. Solve 2*n - t*m = -10, -3*n - 5*m - 5 = -14 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 212\/1171407?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -411*h + 435*h - 13 = 83 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -14934.58 - -13.61\nAnswer: -14920.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and -0.58101.\nAnswer: 0.174303","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*k = -14*k - 8. Suppose 0*s - s + k*n = 2, 3*n + 3 = 3*s. Differentiate -1 + 4*t**s - 13*t**4 - 7 with respect to t.\nAnswer: -36*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12758 - -3125714\/245. Let t = k - 566\/4655. What is the nearest to -1 in -3, 2, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*c**4 + 16*c**4 - 36*c**4 + (c - 2 + 2)*(-4*c**3 + 0*c**3 + 2*c**3))*(-2 + c - 4*c + 2*c).\nAnswer: 26*c**5 + 52*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -21, -37, -57, -81, -109, -141, -177?\n\"Answer: -2*y**2 - 10*y - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40257294.\nAnswer: 2, 3, 7, 11, 79, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**28*a*a\/(a\/(a**(-24)*a*a)) assuming a is positive.\nAnswer: a**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the third derivative of x**6\/30 - 59*x**4\/24 + 1487*x**3\/6 - 2431*x**2. What is the derivative of r(a) wrt a?\nAnswer: 12*a**2 - 59","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 134929*r**4 - 40126*r - 1 wrt r.\nAnswer: 1619148*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the third derivative of -q**10\/37800 - q**6\/720 + q**5\/20 + 3*q**2. Let l(n) be the third derivative of y(n). What is the derivative of l(w) wrt w?\nAnswer: -16*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 481020469.\nAnswer: 481020469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tttttggtgtttgt. Give prob of sequence gt.\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13368*t**4 + 32*t**2 + 140*t wrt t.\nAnswer: 320832*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7355394 and 54.\nAnswer: 7355394","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -1 - (23 + (22 - 32))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 348417 to the power of 1\/4, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-3)\/(-3))\/(5 - 4) - -2. Suppose -5*r - 2*v + 0*v = -12, -5*r - 3*v + 13 = 0. Factor -3 - 5*d + 11*d + 0*d**2 + o*d**r - 6.\nAnswer: 3*(d - 1)*(d + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**2 - 6*l - 5. What is the remainder when ((-3)\/(-3))\/((-7 + 19)\/804) is divided by n(-4)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -7075000*r. Let v be s(4). What is v rounded to the nearest 1000000?\nAnswer: -28000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g**(1\/24)*g*g)**(-1\/15))**(-45\/4))**(28\/9) assuming g is positive.\nAnswer: g**(511\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6817 - -6849. Calculate the remainder when 353 is divided by b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 20231321 - 4?\nAnswer: 20231312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -8\/15, 4, 0.27, 0.02, 15?\nAnswer: 0.27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 114521960 and 160?\nAnswer: 458087840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 10*s**2 + 2*s - 1. Let a(x) = 3 + 75*x**2 - 37*x**2 - 39*x**2 - 8 + 4. What is 2*a(u) + r(u)?\nAnswer: 8*u**2 + 2*u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**2 - 18*h + 26. Give c(13).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 3\/7 (b) -0.159 (c) 0 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 15*i + 872 - 887 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2889 is divided by 373?\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*w - 34*w - 31*w = -44 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - -5866298.\nAnswer: 5866300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1060.11 litres to millilitres.\nAnswer: 1060110","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -308*y = -295*y - 65 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -29455 + 13*q - 9*q - 29445 + 58903. Suppose -2*u = 3*z - 4, 0 = 4*u + 3*z - 0 + 4. Let f = 2 + u. Determine w(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**3 - 21*x**2 + 7*x + 81. Let o be a(-21). Is o less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-3*sqrt(130)*-1 + 1*(sqrt(130) - -1*sqrt(130)))*-6)\/((sqrt(180)\/sqrt(6))\/sqrt(3) - ((sqrt(110)*-2)\/sqrt(11) - sqrt(10))) + 0)**2.\nAnswer: 2925\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -217955*f**6 - 8*f**2 + 2*f + 504?\nAnswer: -26154600*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*2*(0 + sqrt(192)\/sqrt(4)))**2 + (sqrt(6912) + (1 + sqrt(6912) - sqrt(6912)))**2*4*-3.\nAnswer: -81228 - 1152*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/12*2\/(-5).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 - -3. Let k be -1 + 2*i\/(-10). Sort -4, k, -5 in descending order.\nAnswer: k, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 2*n - 8. Calculate k(8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes before 11:53 AM?\nAnswer: 7:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44\/2 - (0 - 1).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 2*v - 12798, -12*y + 7*y + 21337 = v. Does 22 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 + 0 = -2*t. Let y be 8\/6 + (39280\/24)\/10. What is the highest common factor of t and y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -309999 bigger than -310007?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((t**2 - 4*t**2 + 2*t**2)*(-1 - 7 - 2) + 2*t**2 - t**2 - 2*t**2)*(0 + 0 - 2) to s*t**2 + f + a*t and give s.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -101b38 - b66?\nAnswer: -102aa2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 155442 divided by 6.\nAnswer: 25907","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 5\/4*c**5 + 343\/2*c**2 + 22*c**4 + 106*c**3 - 99\/2 + 147\/4*c = 0.\nAnswer: -11, -3, -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/5? (a) -0.33 (b) -0.1 (c) -2\/107\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 490966 not equal to 490965?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 540 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -22 + 24. Suppose k*i + i = 69. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 3*v - 4*v + 0 + 8. Calculate the remainder when 57 is divided by q(-7).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j**(2\/5)*j))**(1\/25))**49*(j*j**(-4))\/j*j*(j*j*j**(-3\/5))\/j*(j*j*j**(-2\/7))\/((j**(-2\/13)*j)\/j) assuming j is positive.\nAnswer: j**(-17243\/11375)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 20653 - 20526. Calculate the highest common divisor of i and 2032.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-10)\/(-35)*(-3 - -24). Suppose -3*t - 132 = -f*q + 2*q, 5*q - t - 176 = 0. Solve 12 = -2*n - 0*n + 4*c, 0 = 4*n + 4*c - q for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -711, -2679, -5951, -10521, -16383, -23531?\nAnswer: -31959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14596815?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cqa when three letters picked without replacement from {a: 1, e: 2, c: 1, q: 1, p: 2}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*o**4 + 2*o**4 + o**5 + 2*o**5 - 3*o**5 + 3*o**5 + 3 + o**5 - 3 + (-4*o**4 + o**4 + o**4)*(4 + 2*o - 4) + 0*o**5 + 3*o**5 - o**5.\nAnswer: 2*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*k**3 + 0)*(0*k**2 + 2*k**2 + 0*k**2) + 2156*k**3 - 2*k**5 - 1072*k**3 - 17*k**4 - 1078*k**3.\nAnswer: -6*k**5 - 17*k**4 + 6*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -t + c, -c = -2*t - 2 - 2. Find the third derivative of -k**5 - 3*k**2 + t + 0 - k**5 wrt k.\nAnswer: -120*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 10*p - 145. Let n be w(15). Let t be 2 - (-5 - (0 - n) - 5). Let h(j) = -j**3 + 6*j**2 + 9*j - 10. Determine h(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -110*n**3 - 26*n**2 - 10*n + 156448 wrt n.\nAnswer: -330*n**2 - 52*n - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(4)\/sqrt(2) + sqrt(2) + -5 + (sqrt(18) - sqrt(54)\/sqrt(3) - sqrt(18) - sqrt(18))*-2)**2.\nAnswer: -140*sqrt(2) + 417","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 42 + -38.5. Let v = 3.7 - r. Which is the closest to v? (a) -0.7 (b) -2\/11 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -42456 (base 7) to base 9\nAnswer: -15386","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a centimeter in millimeters?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggk when three letters picked without replacement from kkkkgkkkkgkk.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -253 - 251 - 270 - 261 + 41*w**2 - 250 + 1285.\nAnswer: 41*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2293391 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, k: 1}. Give prob of sequence bb.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 844618, 1689030, 2533442, 3377854, 4222266, 5066678?\n\"Answer: 844412*n + 206","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -3 + 0*k - 4 - k - k**2 + 6. Let n(x) = -5*x**2 + 7*x - 17. Let i(j) = -8*j**2 + 9*j - 25. Let q(c) = 5*i(c) - 7*n(c). Give -6*o(w) + q(w).\nAnswer: w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 8*l - 4*l. Suppose -2*j - 5*u + 4*u + 6 = 0, -2*u = -4. Factor -3*m**2 - m**l + 2*m**j - 2*m.\nAnswer: -2*m*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l + 4*g + 24, -l - 7*g = -6*g. Suppose -1 = 3*q + 2. Let x be 2 + (1\/q)\/(-1). Solve -x*n - l = -2*i, -12 + 2 = -5*i + 5*n for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -104714645 or 2?\nAnswer: -104714645","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 284*w - 13*w - 1084 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 122 (base 13) to base 7.\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -15*u. Let c(t) = -t - 1. Let d be ((-7)\/4 - -2) + (-3)\/12. Let w(r) = -6 - r - r + d. Let x(y) = 6*c(y) - w(y). Give h(x(g)).\nAnswer: 60*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21 and 3759?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 8*c - 1. Determine r(3).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1844?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 25049 < 25049?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/240 and 25\/144.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-34)\/289 - -2*74\/(-476)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h - 6, -8*u + 74 = -7*u + 2*h. Suppose -50*x + u*x = 25100. List the prime factors of x.\nAnswer: 5, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 2\/5*r**3 + 2*r**2 - 26\/5*r + 14\/5 = 0.\nAnswer: -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((o*o**(-4\/5))\/o)\/(o*o**(2\/37)))**3)**(-2\/15))**(3\/46) assuming o is positive.\nAnswer: o**(1029\/21275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -509, -1118, -1729, -2342?\n\"Answer: -g**2 - 606*g + 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from imsgryrsi. What is prob of picking 1 s and 1 y?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**3 - 24*d**2 - 26*d + 37. What is f(25)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-88 - 85 + 282)*(44*o - 38*o + 29*o).\nAnswer: 3815*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-74 - -162 - 78) + -107 + -7.\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-4)*n*n\/(n*n*n**(-3\/4)*n*n)*n\/(n\/(n*n\/(n\/(n*n**(-6)\/n))))*(n\/(n\/((n*n*n*n**(-1\/8)*n)\/n*n*n*n)))\/n*n)**(1\/2) assuming n is positive.\nAnswer: n**(-35\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 2*o - o**2 - 2 + 1 + 3. Suppose 197*v + 196 = 201*v. Suppose 52*b - v*b = 12. Give i(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((16\/7)\/4)\/((-54)\/(-1323))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 440 by -12.\nAnswer: -110\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 5*t + 3 = -27, 5*q - 4*t + 6 = 0. Suppose q*k + 2*k = 76. Suppose k + 61 = 4*r. Calculate the highest common factor of 30 and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9.33 + 10.636. What is q rounded to 1 dp?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1, 15, 55, 133, 261?\nAnswer: 451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + w - 3 = 0, 5 = 4*v - 5*w - 18. Let c be (-1)\/(6\/(-27))*v. Let y(d) = 14*d + 1. Is y(c) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 161363 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + 3*t**4 - 4 + (-261 - 5616*t**2 + 313 - 53)*(0*t + 0*t - t**2) in the form p + g*t**3 + n*t + h*t**4 + c*t**2 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16617 and 783.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 4*v**2 + 11 - 20 - 13.\nAnswer: -4*v**2 - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*q*u*w - q*w - 2*q - 37*u*w + 21*u wrt w?\nAnswer: -3*q*u - q - 37*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 2*v + 30 = 0, 4*m - 93*v + 95*v + 10 = 0. Let c(j) = j**3 + 6*j**2 + 4*j - 4. Determine c(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 2*l**2 - 4*l - 18. Let n be j(6). Suppose 4*c - c - 51 = -2*r, -r - 3*c + n = 0. Solve 3*z - 5*b = -r, 2*z = -0*z + 3*b - 13 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*z = 44*z + 11. Solve -9 = -5*h + z for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6348*q**4 + 13340*q**3 - 22957*q**2\/3 + 2030*q\/3 - 49\/3.\nAnswer: -(q - 1)**2*(138*q - 7)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 3765?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-9)\/(-2)*10\/15. Let o = 8 - 5. Suppose -2*c = o*c. Solve -2*t + 10 = 2*j - c*j, -d*j - t = -15 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 4*f - 1. Let m be i(1). Let x(r) = -2*r**3 + 2*r - 1. Suppose -4*d - u = 0, -11 - 9 = -4*d + 4*u. Let w be x(d). Sort w, 4, m in increasing order.\nAnswer: w, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 5 = m. Let w(f) be the second derivative of 7*f**3\/3 + 5*f**2\/2 - f + 96. Let o(y) = 3 - 3 - 3 - 9*y. Give m*w(t) + 8*o(t).\nAnswer: -2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 a when three letters picked without replacement from {f: 2, a: 1, c: 4, p: 1}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2035005 by 290715.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 160432 and 396744.\nAnswer: 2168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 732*0.5\nAnswer: 366","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 188855433?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*x**4 - 21105274*x**3 + 1671*x**2 + 10*x + 221.\nAnswer: 48*x - 126631644","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -17\/12?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1058 and 0.1247?\nAnswer: 0.01319326","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**2 - 119*p + 3480. Let w be l(67). Let b(s) = 7*s + 19. Determine b(w).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.171 in 5, 0.4, 7\/3, 13\/114?\nAnswer: 13\/114","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 + -1. Suppose -3 - y = -2*q. Suppose -n + q*l + 62 = 0, 0*n + 3*l + 139 = 2*n. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 309 a factor of 2397840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -6*y - 0. Calculate the remainder when 21 is divided by (-45)\/(-6) + (-2)\/y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1708 and 1403?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**2 + 6*y - 2. Let p be 1 - (5\/(-5) - 2). Let q be n(p). Solve 0 = s + 1 - q, 0 = -m - 2*s + 7 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 1 + (sqrt(242) - (sqrt(242) - -6*(-1 + sqrt(242)))))**2 + -5.\nAnswer: -792*sqrt(2) + 8743","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*j = 44*j - 48. Calculate the highest common divisor of j and 66.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 3*p + 5. Let j(a) be the second derivative of a**3\/6 - a - 2. What is h(j(c))?\nAnswer: 3*c + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 32 (base 11) to base 2\nAnswer: 100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.18 + -13.82. Let f = 13.99 + g. Which is the second smallest value? (a) -0.3 (b) -1\/9 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (44\/(-3))\/(-11)*(-675)\/1300\nAnswer: -9\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 12*a**3 - a**2 + 2*a. Let m be x(2). Suppose 3*r = -3 - m. Let d = -31 - r. Solve t + 7*f = 2*f + 29, d*f = 4*t - 6 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwweewewweeeeewwwee. What is prob of picking 3 e?\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 190 a factor of 1005241?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-520)\/(-280) - 2)\/((-2)\/48*12\/(-9))?\nAnswer: -18\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 60*h - 57*h - 15 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 469 - 455. Which is the smallest value? (a) p (b) 0.4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**2 - 109*c + 1319. Calculate t(-112).\nAnswer: 983","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82*b + 2*j = 116, -3*j = -136902*b + 136906*b + 64 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 4*d - 77. Suppose x + d = 4*l - 0*l, -x - 57 = -3*l. Does 13 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the third derivative of -3\/4*f**3 + 0*f - 1\/120*f**5 + 5*f**2 + 0 + 1\/8*f**4. Factor z(s).\nAnswer: -(s - 3)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -24*s**3 + s**2 + s. Let w be (-1 - -4)*8\/(-24). What are the prime factors of u(w)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 2269865?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 50 + 6 = 0. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1091823*b**2*k**2 - 33*b**2 + 5*b + 59660 wrt k?\nAnswer: 2183646*b**2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 132*k**2. Let h(m) = -6*m**2. Calculate l(h(w)).\nAnswer: 4752*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**3 + 10*g**2 - 18*g - 1. Calculate the lowest common multiple of f(7) and 55.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - 7 = 14*f - 12*f, f + 2*v + 1 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -331.137303 rounded to 1 dp?\nAnswer: -331.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 149*z + 157*z - 633*z + 180*z + 150*z.\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4501 + -20?\nAnswer: 4491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1141 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*q*s - 32*q + 51*s**4 - 1 wrt s?\nAnswer: 4*q + 204*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3233476900?\nAnswer: 2, 5, 32334769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 373 a factor of 1373321?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.06 + -0.26. Suppose 0 = 4*l - 8, l + 11 = 5*o + 4*l. Which is the closest to o? (a) r (b) 5 (c) -5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 21\/2 of a tonne?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 149 divide 70176842?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3392557 to the nearest integer?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 3*c**3 - 6*c**2 + 6*c + 1. Let j(l) = 6*l**3 - 11*l**2 + 11*l + 3. Let t(p) = -6*j(p) + 11*o(p). Let k(z) = 2*z**3 + 5. What is 7*k(u) + 5*t(u)?\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 126 - 200 - (21 - 100).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 65575026?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*j = -49*j - 28853. Let a = j + -1872. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**17\/o)\/(o*o\/(((o\/(o*o**(-15)*o)*o)\/o*o)\/o)))\/(o**(-1\/18)*o*o**(3\/4)*o) assuming o is positive.\nAnswer: o**(911\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 7}. What is prob of picking 2 j?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -929*q + 863*q + 66*q - 3341*q**3.\nAnswer: -3341*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 4*k**4 + 268208*k**3 + 4499991000*k**2 + 134750143792*k - 139250403004 = 0.\nAnswer: -33511, -31, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -125352 divided by -41784.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a decade in years?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 28*h**2 - 6*h + 150. Let o(s) = -11*s**2 + 3*s - 76. Give 3*k(f) + 7*o(f).\nAnswer: 7*f**2 + 3*f - 82","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-70 - (6 - -2))\/(-6). Solve o = -4*i + 5 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 535445 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1, 20, 3, -2, -3 in increasing order.\nAnswer: -5, -3, -2, 1, 3, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**3 - 3*w**2 - 8*w - 15. Let d = 9 + -15. What are the prime factors of q(d)?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -113, 11, 3 in descending order.\nAnswer: 11, 3, 0, -113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 + 23. Let z(g) = -g**2 - 21*g - 42. Let q be z(-22). Let s = -61 - q. Solve -4*t = 0, -t = -s*p - 4 + v for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 + 35\/10)\/((-2)\/4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the third derivative of l**6\/60 + 7*l**5\/15 - 85*l**4\/24 + 20*l**2 + 24. Find the second derivative of w(b) wrt b.\nAnswer: 12*b + 56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76179.\nAnswer: 3, 67, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the second derivative of y**3\/2 - 7*y**2\/2 + 3*y - 8. Suppose -2*l - 2*l + 16 = 0. Let u be c(l). Solve -u*q = -3*r + 4 + 11, r - 3*q - 5 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 4*q - 0*b + 6, -4*b = 5*q + 14. Let y be 204\/36 - q\/6. What is the remainder when 32 is divided by y*(-18)\/(-12)*(-8)\/(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 11 + -9 - -17 - 25?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-5)\/2)\/(1\/(-2)). Let y = 56055 - 224217\/4. Sort 8, y, a in descending order.\nAnswer: 8, a, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*m + 12 = -16*m. Suppose -m*b = -0*b - 501. Is b a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/6*2*6. Let i be (-1)\/3 - (-8)\/q. Let g be i + -4 - (3 - 4). Is g < -3\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*g + 267*g**2 - 275*g**2 + 3*g**3 + 2*g - 6*g to l + p*g**3 + y*g**2 + t*g and give y.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 2\/11, 46395, -3, -178?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -21*h + 15*h + 24 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffi when three letters picked without replacement from iffifffffff.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 3071?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -67023294*f**4 - 133281684*f wrt f.\nAnswer: -804279528*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + -2. Let l be (2 - 138\/27) + 3. Which is the nearest to -1? (a) -7 (b) r (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8217808?\nAnswer: 2, 23, 137, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 4*q + 6 = -46, 4*q - 12 = 0. Let d(p) = 0 - 8 + p**2 - 6*p + 0*p. Let r be d(s). Calculate the highest common divisor of r and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 3 p when four letters picked without replacement from kkopoopopkkoopopo.\nAnswer: 4\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 539 is divided by 475?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 4*m = -64, 2*m - 8 + 82 = 3*x. What is the second derivative of -16*i**3 - x*i + 3*i - 95*i**3 wrt i?\nAnswer: -666*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -0*j - 10. Let x = 1 - j. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 + (-21 + 7 - -11) + -6 + 9 + -3.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes before 1:35 AM?\nAnswer: 5:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6508.035 - -6493. Let x = d - -0.035. Let t = 13 + -13. Which is the third smallest value? (a) -3 (b) x (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**2 + g + 4. Let p(x) = -5*x**2 + 4*x + 14. Let t(k) = -4*l(k) + p(k). Let w(j) = -16*j**2. Give w(t(f)).\nAnswer: -16*f**4 - 64*f**2 - 64","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 986*n + 580765. Determine o(-589).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1.187*-134.32\nAnswer: 159.43784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.4 (b) -0.07 (c) 19\/12 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, c: 1, u: 1, j: 2}. What is prob of sequence csu?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - (0 + -7 - -7) - (-40 - 9)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92839269 is divided by 230.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2199*d**4*p**2 + 7*d**2*p**3 - 20*p**3 + 889*p**2 wrt d.\nAnswer: 8796*d**3*p**2 + 14*d*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 22420672 to the nearest integer?\nAnswer: 282","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-20)\/30 - (-2)\/3. Let o = 3.2 + -2. Let f = -1 + o. What is the closest to p in -5, f, 1\/3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35328609?\nAnswer: 3, 1308467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 16*l**3 - 3. Let t(w) = -1. Calculate -5*t(a) + y(a).\nAnswer: 16*a**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - (13 + -3 - 6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/(162\/(-12)))\/((-22)\/(-6))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 4*u = -39, -4*u = -5*o - 0*u + 99. Let n = -11 + o. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*h**3*o*r + 61*h**3*r + 9*h**2*o - 2*h*r - 4*o*r wrt h?\nAnswer: 12*o*r + 366*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7380 and 5166?\nAnswer: 51660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8576 + -41882. Suppose -5*y = -7*a + 9*a - 477282, 0 = 5*y + 4*a - 477274. Let x = d + y. Round x to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1039377102776 and -405?\nAnswer: 1039377102371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v - 5*o + 128, -4*v - o + 128 = 3*o. Let m = v - 19. What are the prime factors of m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 39723705051 - 3.\nAnswer: 39723705048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -51 + 4*i + 6*i + 1. Let x be f(8). Calculate the greatest common factor of x and 240.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g = 8250 - 8248. Put 7, g, 0.008, 5, 1\/4 in descending order.\nAnswer: 7, 5, g, 1\/4, 0.008","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -20 - -23. Suppose 5*i - h = 167. Suppose -d - 46 = -5*j + 2*d, 2*j = -4*d + i. What is the highest common divisor of j and 77?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r + 1. Let o be (40\/3)\/(11\/(35 - 2)). Let f(g) = 4*g + 20. What is o*c(x) - 2*f(x)?\nAnswer: 32*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 27178766 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 119 in -0.4, -6, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-15 - -16 - 10) + (1 - 0)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -5*m**3 - 15*m**2 - 4*m - 9. Let f be p(-3). Solve 0 = 5*b - f*c + 15, 2*c = -2*b - 3 + 13 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (17\/119)\/(12\/14)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 1 + 4. Suppose 9 = -5*l - 2*h - 10, 0 = h - 3. Let z be (8\/(-10))\/((-2)\/l). Sort r, z, 0.\nAnswer: r, z, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u - a + 20, 48 - 8 = 4*u - 2*a. Let h be u\/(-44) - 4\/(-22). Solve h*n - 2 = n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4414804589?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.403 rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/3 (b) 0.2 (c) 2\/5 (d) -4\/3 (e) 0.02 (f) -193 (g) -1\/2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**4 - 16*u**3 - 63*u**2 + 16*u + 64.\nAnswer: -(u - 1)*(u + 1)*(u + 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**2 + 7*d + 20. Suppose 9 - 33 = 4*b. Let z be h(b). Solve 26 = 2*o - 4*j, -o + 3*o + 4*j + z = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3955 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/5799 or 0?\nAnswer: -2\/5799","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000573755094 rounded to five dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/(-21))\/((-3)\/(-2)*420\/(-147))?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 plus -14255?\nAnswer: -14254.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m - 9. Let d be w(5). Let v be 4805\/10 + 2\/d. What is the units digit of (-1 + -2)\/((-45)\/v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -43591877 - 1?\nAnswer: -43591878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*t + 25*t = 0. Suppose t = r + 61 - 88. What is the remainder when 1402 is divided by r?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1*(-2 - 3\/3). Let i(w) = w**2 + 6*w - 5. Let n be i(-7). Suppose n*c + 10 = r*c. What is the smallest common multiple of c and 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:48 PM and 12:36 AM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-9)\/2 - 1\/2. Let o be ((-275)\/22 - -13)\/(1\/(-6)). Is o bigger than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35 + 8 + 392*h + 13 + 14.\nAnswer: 392*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 383246785?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k - 26. Let u(r) = 10*r. What is u(b(g))?\nAnswer: 10*g - 260","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 331*f - 6619. Let u be n(20). Is u greater than 1\/565?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -464*s**3 + 7*s**2 + 543*s - 7. Let r(q) = -q**3 - q**2 + 4*q + 1. Let g(f) = -c(f) - 7*r(f). Find the second derivative of g(l) wrt l.\nAnswer: 2826*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -87470*p**2 + 175001*p**2 - 87518*p**2.\nAnswer: 13*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 3*k**2 - 25*k - 1575. Calculate s(-19).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -2.6 * 0.0529\nAnswer: -0.13754","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -41*o + 74. Let w be y(-8). Let s = w + -397. Solve s*z + 15 = 2*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1234266357?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n**3 + 8*n**2 - 356*n - 360 = 0.\nAnswer: -10, -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:28 PM and 2:50 PM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/(-24)*28\/(-7)*2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7708 and 133086?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-9)\/108)\/((-69)\/4). Let p = 8423512\/17 - 13949086159\/28152. Let w = p + a. What is the common denominator of w and 81\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2a612 - 2?\nAnswer: -2a614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 33 (base 10) to base 7\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16655534 (base 9) to base 14.\nAnswer: 1179947","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 30\/2329? (a) -3 (b) 2\/33 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 50 = 10. Suppose -b = -2*m + 7. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-7\/6)*n\/(n\/n**6))\/((n*(n*n*n**49*n*n)\/n)\/n**43) assuming n is positive.\nAnswer: n**(-31\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1394 at least as big as 1393?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -4148364 divided by -94281?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 333 + -353 + 2 + (-1 - -63)\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 20232841 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.966 - -0.174. Let x = 1.139999949 - u. Round x to 7 dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -5*k**5 + 6435*k**4 + 12910*k**3 - 25770*k**2 - 12905*k + 19335 = 0.\nAnswer: -3, -1, 1, 1289","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2444918127 and -705.\nAnswer: -2444918832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12347 + 12352. Put -6, 315, t in descending order.\nAnswer: 315, t, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 31\/2 of a litre?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x - 4*s - 12 = 0, -12*x - s - 3 = -7*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 445364?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 480 and 72.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**2 + 11*g - 7. What is b(-8)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 52938559 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 383*h**2*z - 2*h**2 + 11016*h*z wrt h.\nAnswer: 766*z - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1026.2209719 rounded to zero dps?\nAnswer: -1026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*-10064285\nAnswer: -4025714","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/33, 2, -19, -0.29, -0.5, 0.9?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 4*z - 9 = 5*y, -z = -4. Let a(l) = -2*l + 5 + 0*l + l. List the prime factors of a(y).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 14444 + 1110?\nAnswer: 15554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*u**2 - u**2 - 7*u - u**3 + u**2 as l*u**3 + n*u + y + q*u**2 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3809 + -3868.71. Let h = j + 60. Let n = h + -0.2900026. What is n rounded to six decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 21396.184 to the nearest ten.\nAnswer: 21400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, 16, 149.\nAnswer: 0, 3, 16, 149","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**3 + 4*i**2 - 5*i + 4. Let l be f(-5). Let n = -5 - -7. Suppose -5*p = -2*p + 15. Sort n, p, l in descending order.\nAnswer: l, n, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(2*sqrt(153))**2*-6 + (sqrt(153) + sqrt(153) + 1 + sqrt(153))*-4 + -1*sqrt(153)*5.\nAnswer: -7348 - 51*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/7 in 2170, 3, 2, -0.2, 0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14056 + 14058. Put 0, -181, j in increasing order.\nAnswer: -181, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 39624 and 552.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -2*y. Suppose y = -3*z + 415 - 109. Suppose -p - 2*p + z = 0. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(297))\/sqrt(9) + sqrt(33)*-1*-6)\/((sqrt(192) - (1*sqrt(192) - sqrt(192)))*4 - sqrt(192)).\nAnswer: 7*sqrt(11)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*y**4 - 4*y**3 + 4*y**3 + (-y + y + 9*y**2)*(2*y**2 + y**2 - y**2))*(13 + 8 + 11) to h*y**4 + p*y + z*y**2 + q*y**3 + s and give h.\nAnswer: 512","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d\/((d**(-3)*d)\/d))**(-1\/31))**(-47) assuming d is positive.\nAnswer: d**(235\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 366 - 368. Let f = 2\/99 - -584\/495. What is the closest to f in 0.5, m, 0.4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - (8 + -3 + -7)) + 13 + 7?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -4055521 and -8.276929?\nAnswer: 4055512.723071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/(-10) + (-36)\/(-15). Suppose -4*r + o*d = -19 + 4, -2*d + 13 = 5*r. Suppose r*n = -0*n + 30. Is n a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 97.08357 weeks to days.\nAnswer: 679.58499","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -101*q + 73*q = 224 for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 27369277?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1\/3439, -6, 5, -0.7 in decreasing order.\nAnswer: 5, 4, 1\/3439, -0.7, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31915 = 5*j + 2*r + 835, -2*j + 4*r + 12456 = 0. Suppose 9*q + j = 2465. What is q rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15683 is divided by 449.\nAnswer: 417","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 9, q: 3}. Give prob of picking 1 f and 2 q.\nAnswer: 27\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, -4, -5, 5, 710683.\nAnswer: -5, -4, -3, 4, 5, 710683","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = -0*x + 4*x. Suppose 2*l - 464 = 4*y, -5*l + 470 = -6*y + 2*y. Let m = x - y. What is the highest common factor of 14 and m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -3 + (5 - (-12 + (-2 - -6)))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.43 - -2.43. Sort y, 0.02, -4, 0 in ascending order.\nAnswer: -4, 0, 0.02, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3\/1)\/3 - 1. Suppose 0 = -2*h + d + 2*d - 6, -5*d - 10 = l. Let g be (-3)\/(21\/h - -2). Is g >= 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -5*y - 15, 3*v + 2*y = v + 26. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 2*m**4 + 8*m**3 - 8*m**2 - 8*m - 3. Let u(q) = q**4 - q**3 + q**2 + q + 1. Let y(w) = -f(w) - 3*u(w). Let y(z) = 0. What is z?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 196, 176, 136, 76, -4, -104?\n\"Answer: -10*b**2 + 10*b + 196","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/4, -1\/2, -5, 582, 3 in increasing order.\nAnswer: -5, -3\/4, -1\/2, 3, 582","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t + 12. Let y be g(-7). Suppose 4*k - 3*k - 3 = -y*c, 0 = c + 5*k + 9. Suppose -l - c + 41 = 0. Is 12 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 10\/75 - (-28)\/15?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -458, -848, -1226, -1586, -1922, -2228, -2498?\n\"Answer: a**3 - 397*a - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 3\/7*k**5 - 606\/7*k**2 + 60\/7*k**3 + 12*k**4 - 486\/7 - 153*k = 0.\nAnswer: -27, -2, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express g - 613 + 348 + 309 as c*g + x and give x.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Put 3, 4242, -0.0299, -0.3 in decreasing order.\nAnswer: 4242, 3, -0.0299, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 25 + -25 + (5 - 4)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -220030 + -204?\nAnswer: -220234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from iionxqnqocoqicni.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1246798.\nAnswer: 2, 7, 89057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 - 1. Let b be (196\/21)\/4*(-24)\/(-28). Solve -b*u = 2*k + 2, -u + c = 4*k - 5 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the second derivative of -k**3\/6 + 12*k**2 + 15*k. Let b be u(24). Suppose b = -c + 2*v + 4 + 6, -5*c = v + 5. Solve -d + 5 = -c*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -457*a + 1387*a - 482*a - 439*a.\nAnswer: 9*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v\/v**1))**21*(v**7\/v)**8 assuming v is positive.\nAnswer: v**69","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1282 - -1282.2. Let u = 9 - 17. What is the third biggest value in -2\/15, p, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98 is divided by 38?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2784089?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 21\/34 - (-2)\/(-4). Let o = 62.33 + -62. Let z = o + 0.07. Which is the second biggest value? (a) 1\/4 (b) z (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**2 - k + 1. Let r(u) = 2*u**3 - 44*u**2 - 371*u + 2. Let d(f) = 2*q(f) - r(f). Find the second derivative of d(c) wrt c.\nAnswer: -12*c + 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -a10d + -4b4?\nAnswer: -a5c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1023 - -1204320?\nAnswer: 1205343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 4*u + 4, 110*u - 4 = -p + 108*u. Sort -1, 4, -5, p, -2 in ascending order.\nAnswer: -5, -2, -1, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 890785 is divided by 1552.\nAnswer: 1489","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o + 1. Let j be g(-14). What is the lowest common multiple of (-1)\/(j\/180 - (-2)\/(-6)) and 3?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 3*i + 12. Let x(l) = 12*l + 48. Let o(m) = -9*q(m) + 2*x(m). Suppose -5*r = 30 - 5. Let a be o(r). Calculate the greatest common divisor of 27 and a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11 - -6. Let h(n) = n**3 + 6*n**2 + 2. Is 9 a factor of h(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3341318136?\nAnswer: 2, 3, 13, 31, 345463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4630?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*a + 56 = -55*a + n, 16 = 2*a - 2*n for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/7 + (-13)\/(-7). Suppose 0 = -2*s + r*b + 30, -s = -2*b - 13 - 2. Which is bigger: 13 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0280443 * 5.\nAnswer: -0.1402215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 890*o + 3 + 4 - 883*o.\nAnswer: 7*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17551\/10 + 1765. Find the common denominator of -29 and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -176 - -387. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p**3 - 3*p**3 + 6*p**3 - 3*p**3.\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 33*z**2. Let p(m) = -53*m - 1. Give p(c(b)).\nAnswer: -1749*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 7 + -7 + 16\/(-12). Which is the closest to -1? (a) -0.4 (b) r (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5199 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 130 + -59. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -2\/15 (b) 0.8 (c) -18 (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 2) + -1 + 1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, t: 3, m: 5, y: 1}. What is prob of picking 1 m, 1 a, and 1 t?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 477 <= 1622?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 83.1 - 83. Let q = 2.5 + -0.5. Which is the closest to y? (a) 0 (b) q (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -8*y**2 - 5*y + 0*y - 6*y. Let d(v) = v + 0*v**2 - 3*v**2 - 5*v. Suppose -3*r - 6*k + 2*k = 37, 41 = -4*r + 3*k. Give r*d(j) + 4*i(j).\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, -91, -0.16, 4, -0.091, 3?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes after 9:20 AM?\nAnswer: 11:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 15051 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/6*135\/(-90).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-40)\/20 - (-70)\/(-2)*-6. Let o = -184 - -188. Suppose -o*d = -3*a + 59, 2*d + d + 15 = 0. Calculate the greatest common factor of a and j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -49*j**4 - 3*j**2 - 3*j - 436. Let v(n) = -48*n**4 + n**3 - 4*n**2 - 4*n - 438. Let k(d) = -3*v(d) + 4*y(d). Find the first derivative of k(c) wrt c.\nAnswer: -208*c**3 - 9*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkskkssgssskkkgks. What is prob of sequence kks?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 267208390?\nAnswer: 2, 5, 26720839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 176140307?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12*(-8)\/16)\/((-22)\/(-2)).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 87 + 17*s**3 - 16*s + 176*s**2 - 171*s**2 - 93*s.\nAnswer: (s - 1)*(s + 3)*(17*s - 29)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q**4 - 2*q + 2*q + (2*q**2 - 4*q**2 + 0*q**2)*(2*q**2 + q**2 - 4*q**2) + 129*q**4 - 137*q**4 - 725*q**4.\nAnswer: -732*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -4*f - 40. Let i be d(-10). Solve q = -2*g + 5*q + 8, i = -2*q for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1743 + 1760. Solve -17*o + p = -0*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(4*(-5 + sqrt(847)) - sqrt(847)*-4*-5).\nAnswer: 80 + 704*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -420.99516 + 421. Round y to three decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 249.3 + -137.2. Let y = -112 + r. Which is bigger: y or -0.6?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * -50060.\nAnswer: 5006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -3*p - 5. Suppose m + 5*g = -0*m + 7, 3*g = 2*m + 12. Let u be y(m). Solve 0 = 2*a - 3*a + 2*w + 1, -5*w - u = -2*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the third derivative of -c**4\/8 + 5*c**3\/6 + 4*c**2 - 17. Let i(v) = -2*v + 3. What is -8*i(l) + 5*j(l)?\nAnswer: l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 15*y - 2*q - 191, 1101*y + 15 = 1102*y + q for y.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 30736 - -79?\nAnswer: 30815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 136 and 112472?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2, -14, -4, 46, 154?\n\"Answer: 3*l**3 - 7*l**2 - 12*l + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 9787.2 to the nearest 10.\nAnswer: 9790","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 12012?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/4944 (b) 5 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14541.652 + 14566. Let i = s + 0.252. Round i to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -52.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -11 + (10 - (-6 + -11 + 31)) + -85\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:10 AM and 7:10 AM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4 + -3 + 62\/(-58). Let z(f) be the third derivative of -f**5\/20 + 2*f**4\/3 + 6*f**3 + 9*f**2 - 10*f. Let x be z(7). Which is smaller: b or x?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 284459 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -53 - -55. Find the third derivative of -16*g**3 - 14*g**2 - 6*g**2 + 24*g**j wrt g.\nAnswer: -96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 30 = -3*v. Let t = 689 - 693. Which is the second biggest value? (a) v (b) 1\/7 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i + 7*i - 7 = 0. Suppose -i*o + 2*o = -10. Let v be o\/21*(-21)\/(-35)*5. What is the third biggest value in 3\/4, v, 1, 0.11?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00007669 to five dps.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2320*t + 2312*t + 80 = 0. Solve 15*s + 15 = t*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.14? (a) -3 (b) 4 (c) -1\/9 (d) -114\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -d**2\/9 + 89*d\/9 - 340\/9 = 0.\nAnswer: 4, 85","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 24 - 2*j - 24 + (2*j - 5*j + 2*j)*(3 - 2 + 0) - 11 - 6*j + 11.\nAnswer: -9*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -3*m**3 + 2*m**2 - 2 + 2*m**3 + 4 - 4. Let r(n) = -n**2 + 1. Give k(y) + 3*r(y).\nAnswer: -y**3 - y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in six fifths of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 35788 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/4*h**2 + 1 + 3\/4*h.\nAnswer: -(h - 4)*(h + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8832?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3769861 - -7.1013.\nAnswer: 6.7243139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2284773 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 72.4615 - -4.\nAnswer: 76.4615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 128 and 5560?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -6*t**2 - 13*t - 6. Suppose 755 + 50 = -9*a + 170*a. Let l(h) = -5*h**2 - 2 + h**2 - 9*h - 2. Determine a*o(d) - 7*l(d).\nAnswer: -2*d**2 - 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 67872 and 80598.\nAnswer: 1289568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 4, q: 3, f: 1}. What is prob of picking 2 q and 1 f?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 2*t - 508, 15 = -0*t + 3*t. Suppose -3*z - 103 = -4*z - 4*n, 3*z = 3*n + a. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(385) + 1*sqrt(385))\/sqrt(7) - 1*sqrt(55)*3)\/(-1*(sqrt(539) - (sqrt(539) + (-2*sqrt(539) - sqrt(539) - sqrt(539))))).\nAnswer: sqrt(5)\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - 1) + 11 + (-8 - (6 - (-3 - -7)))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**5 - d**4 - d**3 + d**2 - 2. Let p(y) = -10*y**5 - 15*y**4 + 10*y**3 + 15*y**2 + 30. Let x(a) = -p(a) - 15*w(a). Determine z, given that x(z) = 0.\nAnswer: -1, 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 19*f**2 - 26*f**2 + f**3 + 0 + 7*f - 7. What is a(6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1, -5, -29, -91, -209, -401?\n\"Answer: -3*k**3 + 8*k**2 - 7*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1138 is divided by 30.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.41927 and -0.5.\nAnswer: -0.08073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 36*(3 - (-6241)\/3). What is i rounded to the nearest ten thousand?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 279*f - 299*f = 60 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from {f: 3, l: 11}?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 16*j - 7*j. Let u(k) = -2*k + 1. What is u(j)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 0*(-1 + 0) + 85?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 72 and 16824.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes after 5:31 AM?\nAnswer: 12:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j**5 - 170690*j**4 + 2048905*j**3 - 3244310*j**2 - 2048900*j + 3415000 = 0 for j.\nAnswer: -34150, -1, 1, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11\/8 - 23\/8. Let y(a) = a**2 - 11*a - 10. Let x(b) = b + 1. Let v(d) = -x(d) - y(d). Let z be v(11). Which is bigger: m or z?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -179*k + 172*k = -84 for k.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20 - (1 + 1)) + -166 + 156 + (-6 - -18).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 921024289 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -12113303030 (base 4) in base 7?\nAnswer: -20124551","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x**3 + 225*x**2 + 4539*x - 15561 = 0.\nAnswer: -19, 3, 91","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70021*k - 73663*k + 143685*k.\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40 = 52*j - 44*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -154261 (base 8) to base 5.\nAnswer: -3233343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.09 times 135\nAnswer: -12.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.06649382 rounded to zero dps?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -337001 + 486131. Is ((-1)\/2)\/((-45)\/a) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -113 - -165. Suppose 4*i - 56 = q. What is the remainder when i is divided by ((-30)\/9)\/((-1)\/3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 409.090437 to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -36163, -36432, -36701?\nAnswer: -36970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, -51, 0, -91 in ascending order.\nAnswer: -91, -51, 0, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-99)\/(-4) + (16\/4)\/16. Let u(s) = -s**2 + 25*s + 1. Let z be u(v). Which is smaller: z or 4\/27?\nAnswer: 4\/27","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**2 - 24*z - 97. What is c(27)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/(-15)*(-5)\/10?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-22)\/(((-2)\/10)\/(-1)). Suppose -5*g + 3*t - 567 = 0, -5*g - 4*t + 338 = -8*g. Let y = b - g. What is the smallest common multiple of 1 and y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7616.2356 times -0.1?\nAnswer: -761.62356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 275238, 550474, 825710, 1100946, 1376182, 1651418?\nAnswer: 1926654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5468002 centimeters to meters.\nAnswer: 0.005468002","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 1 + 1 + 0*n - 2*n. Let d be p(4). Let b(r) = -4 + 760*r**2 + 5*r - r - 759*r**2. Calculate b(d).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 2*sqrt(20))*1.\nAnswer: -3 + 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 36\nAnswer: -5\/36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/4)\/(48 - 3861\/156)?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 1\/5 of a tonne?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:43 AM and 2:28 PM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12 + 15\/2*c**3 - 6*c + 3\/2*c**4 + 9*c**2.\nAnswer: 3*(c - 1)*(c + 2)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 75 and 146 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -846331 + 846330.7539879. Let h = 0.246 + z. What is h rounded to six dps?\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15) + sqrt(1815)*1 + -1*sqrt(1500) + sqrt(15))\/(((2*sqrt(66))\/sqrt(11))\/sqrt(2)).\nAnswer: 3*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 700*m = -14010 - 10490 for m.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:25 AM and 3:17 AM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iiz when three letters picked without replacement from vvwzvii.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + -42 + 330\/(-40)*(-20)\/15?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 16*p = -2219 + 2287, 2*p = 4*q - 26. Factor -97\/10*m**2 - 1\/10*m**q - 72\/5*m - 9\/5*m**3 - 32\/5.\nAnswer: -(m + 1)**2*(m + 8)**2\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*f**3*m**2 - 202*f**2*m**2 + 588*f*m**2 wrt f?\nAnswer: -12*f*m**2 - 404*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - 35) + (-18 + -5 - 0).\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8)\/(-28) + (-1560)\/21. Let z = l - -130. What is the greatest common divisor of z and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -3 (b) 6 (c) 0.23 (d) -5 (e) 2\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**2 - 4*i + 2. Let o be n(-5). Let x = 24 - o. Calculate the greatest common factor of x and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*m - 9*m**3 + 3*m**3 + m - 73*m.\nAnswer: -6*m**3 - 97*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(6\/(-8)))\/(6\/(-9))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 11 in 0, 5, -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6305895 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(480) - (sqrt(480) + (sqrt(480) - (sqrt(480) - sqrt(480)*2))))\/sqrt(12))\/(sqrt(968) - (sqrt(968) + sqrt(968)*1)) + -3.\nAnswer: -3 + 2*sqrt(5)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (-5 - 0 - -3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -38 less than 194?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1227*m - 421310 = -1257*m + 156100. What is the hundreds digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.0415? (a) 2\/35 (b) 1 (c) -0.3 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*228\/(8 + 4)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -2*q**2 - 4*q - 4. Let b(i) = -2*i**2 - 3*i - 3. Let w(c) = -4*b(c) + 3*y(c). Let h(v) = -2*v + 29 + 3*v - 29. Give h(w(r)).\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 58198830+1348\nAnswer: 58200178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.3 - 1.2. Let w = 0.4 + v. Let g = -0.3 - w. Is 0.3 less than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4144, -35, -0.2, 158 in decreasing order.\nAnswer: 4144, 158, -0.2, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**2 - 7*p + 1. Determine u(7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22545?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the first derivative of -t**4\/2 - 6*t**3 - 10*t**2 - 12*t + 45. Let o be d(-8). What is the highest common divisor of 5 and o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31787 rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -21 + 3 + 4*g + 8 + 2. Let y be f(3). Solve 2*b - y = -2*t, 4*t - 10 = -3*b - 1 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8461380 and 7051150?\nAnswer: 42306900","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + 2*y + 8, 2*y - 6 = 4*y. Let l be -10*((0 - -3) + t)\/(-5). Let m be -3 + 26\/l + 129\/12. Solve -m = -0*p - 2*p + i, -2*p = -4*i - 20 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 + -2. Let z = -0.319155 + 0.019155. Which is the fourth smallest value? (a) 2\/9 (b) z (c) -2 (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**2 - 18*t - 90. Let z(s) = 1. Let b(x) = -m(x) - 5*z(x). Let c(k) be the first derivative of b(k). What is c(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/3156 and -133\/12144.\nAnswer: 3193872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.046 - 0.0562. Round d to 3 dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.41 + 0.23. Let a = 5.98 + x. What is a rounded to zero decimal places?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**2 - 12*o + 2. Let u be i(-10). Let c = u - -3. Let q be 5\/c*(-4)\/(-2). Which is smaller: q or -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -438 + 442. Let z(f) be the second derivative of 0 - 1\/2*f**4 + u*f + 5\/6*f**3 + 0*f**2. What is the second derivative of z(r) wrt r?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -1 - (-8 + (4 - -3)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*y**2 - 5*y**2 - 4*y + 2*y in the form h + v*y + q*y**2 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 371593 and 181.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -34 (base 13) to base 3.\nAnswer: -1121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/988 and -18\/5.\nAnswer: 4940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 + k**2 - k. Let f(o) = 6*o**3 + 2*o**3 - 3*o**2 - 766*o + 769*o - 3*o**3. Calculate 3*b(n) + f(n).\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4\/(-10))\/(9\/(-90)). Put 3, 0, z, -16 in increasing order.\nAnswer: -16, 0, 3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 g when three letters picked without replacement from {z: 2, g: 5, q: 13}.\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 124 and 211482?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23, -40, -82596.\nAnswer: -82596, -40, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-9)*(-6)\/4. Let r = -41 - -40.9. Which is the nearest to i? (a) 0.3 (b) -0.2 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1431?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -18.99928 + 19. What is i rounded to 4 dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 172 is divided by 39.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7106 and 3230.\nAnswer: 35530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times 46?\nAnswer: -4.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 90327 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((252\/15)\/(-2))\/(2\/(-30)). What is the highest common factor of x and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 179795 is divided by 4385.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 + 19. Let f = -1.53 + 0.23. Let l = f + 0.3. Which is bigger: l or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/2)\/((884\/26)\/340)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -36, -0.1, -0.05, 0, -1 in decreasing order.\nAnswer: 0, -0.05, -0.1, -1, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 56039 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -31*p*u**3*y - 4*p*y + 13*u**3*y - y wrt p?\nAnswer: -31*u**3*y - 4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-50) - 2\/40\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - g - v - 7, -2*v = 2*g + 10. Let t(q) = 7217*q - 7. Let d(l) = -7218*l + 7. Let u(x) = -5*d(x) - 6*t(x). Is u(g) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 4*n + 2014, 14*s - 9*s + 2*n = 10048. List the prime factors of s.\nAnswer: 2, 3, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hffffhhfhhfff. What is prob of sequence ff?\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are 986 and 5104 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is c (base 15) in base 10?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o - 3 + 5. Let j be (-1 + 0)*-2*o. Suppose 63 = v - 3*r - j*r, 4*v + 3*r = 137. Is v a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * 0.02657\nAnswer: -0.013285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/123783 not equal to 4\/33?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 175 - 15 = 0. Suppose 3*o - 45 = 5*h - 127, 2*h = 3*o + n. Suppose 3*m = m + h. What are the prime factors of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1 (b) 2 (c) -5 (d) -109\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:57 PM and 7:06 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 66\/24*(2 - -26). Let j = n - -51. What is the remainder when j is divided by 33?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -5*s - 3. Suppose 0 = -2*q + 64 - 24. What is the remainder when v(-4) is divided by (-2 - 4\/(-5))*(q + -25)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/25 of a tonne?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -8011, -10151, -12291, -14431, -16571, -18711?\n\"Answer: -2140*j - 5871","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 881?\nAnswer: 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 222888188 a multiple of 187?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 96 = -3*u. Let k = -487 - -511. Calculate the greatest common divisor of k and u.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13391840 and 9240.\nAnswer: 3080","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**3 + 10*a**2 - 322*a + 1568. Determine q(5).\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 854419 is divided by 476.\nAnswer: 475","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + -3 - 9 - 9 - 16?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4\/5)\/((-1)\/(-5)). Let b be (-15)\/(-6) - (-3)\/6. Suppose -b*u + 10 = 2*u. Solve -a = -u*a + w for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 57 and -0.375063525689.\nAnswer: 56.624936474311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/(-6)*54\/(-36)*2.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 27 - 3. Let a = 23.9999981 - y. Round a to 6 decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 55126 = -5*i, -4*i + 186*q + 44120 = 182*q. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5\/6, 2\/7, -26544, 0.553?\nAnswer: -26544","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -794 - -1541. List the prime factors of d.\nAnswer: 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 + -6 + -10 + 2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 5*l + t, 0 = -0*l - 2*l + 4*t - 14. Calculate the least common multiple of l and (2 + -3)*27\/(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 0, -29, -72, -129, -200?\n\"Answer: -7*j**2 - 8*j + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.016, -1, 32.29 in descending order.\nAnswer: 32.29, -0.016, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10 - -22. Let a be 40\/f - (-6)\/9. Solve 9 = -a*r - 3 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101752 = 14*b + 102382 for b.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 7+1\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the first derivative of 5*m**4\/4 - 370*m**3\/3 - 380*m**2 - 4131. Determine f so that a(f) = 0.\nAnswer: -2, 0, 76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 108476 is divided by 673?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is b2669 - -3?\nAnswer: b266c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 w when two letters picked without replacement from crwcwzp.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14 and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 162237970*g. Let n(o) = -2*o**2. What is n(m(i))?\nAnswer: -52642317819441800*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22, -52, -100, -178, -298, -472, -712?\nAnswer: -1030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (17 + -18)\/((2\/37969742)\/1). Let b = -6340886 - 33643985. Let i = t - b. Round i to the nearest one million.\nAnswer: 21000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/2*((-6)\/3 - 0). Suppose -o*m + 12*m - 828 = 0. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30203258 is divided by 30203251.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 6, -2, 2, -4 in descending order.\nAnswer: 9, 6, 2, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-29)\/2)\/((-5)\/(-10)). Let s = -17 - u. Suppose y - 4*y + s = 0. Is 3 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.05 - -0.35. Let h = -0.1 + v. Let c = h + -0.8. Sort c, 1, -0.4.\nAnswer: c, -0.4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 433091?\nAnswer: 163, 2657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -24523250 (base 7) in base 10?\nAnswer: -2207681","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 + 70\/(-4))\/(5\/30). Let y = m - -124. What is the second derivative of -96*a**3 + 96*a**3 - 30*a + y*a**4 wrt a?\nAnswer: 372*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(480)*4*6)\/(-6*(sqrt(40) + sqrt(120)\/sqrt(3))).\nAnswer: -4*sqrt(3) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2298, -2299, -2300, -2301?\nAnswer: -2302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 110\/385*(-21)\/(-60).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*w**2 - 8772*w + 13176.\nAnswer: -4*(w + 1098)*(2*w - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 193\/28 - 50\/7. Is -35 smaller than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 644974975.5 rounded to the nearest 10000?\nAnswer: 644970000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2531 (base 6) to base 3.\nAnswer: -212101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.309 - 0.091. Let a = 0.68 - 2.6. Let b = 0.72 + a. Is t less than or equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2723047?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-54310)\/21724*(12\/(-50))\/((-6)\/460)?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -5*a + 5, -5*j + 24 = 5*a - 1. Let l(r) = r**2 - r + 4. Let d be l(-5). Suppose -j*i + d = -144. What is the remainder when i is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*u = -27 - 108. Find the third derivative of -6*r**2 + u*r**2 + 28*r**5 + 0*r**2 wrt r.\nAnswer: 1680*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 3*p**5 + 12*p**4 + 15*p**3 + 6*p**2 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the third derivative of l**7\/840 - l**6\/120 + l**4\/8 + l**3\/3 + l**2. Let o(t) be the first derivative of a(t). Let i = 12 - 9. Determine o(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 189 and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 1705*l - 30 = -1702*l, -2*l + 40 = 4*r for r.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the third derivative of -h**5\/20 + 13*h**4 - 1352*h**3 + 2*h**2 - 106*h. Suppose v(n) = 0. What is n?\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*f + b - 125 = 0, -31 = 12*f - 13*f - 5*b for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(243)*1 + -5 - (sqrt(243) + (sqrt(243) + 1)*3)) + -4)**2.\nAnswer: 648*sqrt(3) + 2331","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that s**3\/9 + 1521407*s**2\/9 + 578675139800*s\/9 + 4050651430000\/9 = 0.\nAnswer: -760700, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6940047?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) -368\/11 (c) -1 (d) -0.4 (e) 5 (f) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 137 is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 + -2*1\/(-2). Let j = 4 - y. Let g(x) = 5*x**2 - 2*x**3 + 7 - 1 - 6*x + x**2. Let f(u) = -u**2 + u - 1. Give j*g(n) + 6*f(n).\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:40 PM and 1:35 AM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -128, -93, -62, -35, -12, 7?\n\"Answer: -2*q**2 + 41*q - 167","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -3*w + 3*i, -3*i = 13*w - 11*w - 2 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -345 - -556. List the prime factors of x.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 515b (base 13) in base 5?\nAnswer: 324410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.9 - -0.1. Let x = 2295 - 2295.2. Which is the third biggest value? (a) f (b) 3 (c) -0.26 (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 24\/3*(-1)\/2. Let g = 60 + -55. Put g, 4, w in descending order.\nAnswer: g, 4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9\/(-9)*(-1)\/(-5)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -62 - -85. Let i = c + -60. Let r = 34 + i. Which is bigger: -0.04 or r?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times 71870.362?\nAnswer: -359351.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000010726 rounded to seven dps?\nAnswer: 0.0000107","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 4*a = -80, 3*j + 5*a - 32 - 36 = 0. Calculate the least common multiple of 18 and j.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 163308046 to the power of 1\/6, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*k**3 - 2*k**3 + k**4 + k**3 + (k + 0*k - 2*k)*(0 - 11235*k - 4 + 11228*k - 6*k**3) as f*k**3 + y*k**4 + d*k**2 + w*k + a and give y.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15747 by -5249.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**19*v)**(-2) assuming v is positive.\nAnswer: v**(-40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 21\/819269 and -46\/2343.\nAnswer: 2457807","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*j = 17*j + 190. Factor -20*q - j + 17 + 21 + 5*q**2.\nAnswer: 5*q*(q - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x - x - x)*(-2 + 4 - 1)*(-2*x - 6*x + 4*x + (-2*x + 2 - 2)*(-6 - 1 + 4) + 3*x + 0*x - x - x + 0*x + 7*x)*(3 - 4 + 2).\nAnswer: -20*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000999663 rounded to 6 dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -14, -12, 3, 5, 10, 2 in decreasing order.\nAnswer: 10, 5, 3, 2, 1, -12, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3618*x + 282590 + 312152 = 9133*x + 114937 for x.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 3*y. Calculate the remainder when f(11) is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 - 71*z**2 - 150*z + 331. Give f(73).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppq when three letters picked without replacement from {p: 4, l: 1, k: 3, q: 2, h: 1}.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1127070?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -211793 less than or equal to -211793?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -38, 117, 468, 1015, 1758, 2697, 3832?\nAnswer: 5163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = 3*u - 5*k - 56, -3*u - 2*k + 59 = 0. What is the remainder when u is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -1587*x. Let j(p) = -p**2 + 4*p + 195. Determine j(o(t)).\nAnswer: -2518569*t**2 - 6348*t + 195","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3\/35 - -44\/105. Let z(b) be the first derivative of 2\/5*b**5 + 0*b**4 - a*b**3 + 0*b**2 + 2 + 0*b. What is the third derivative of z(l) wrt l?\nAnswer: 48*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + 6 - (15 - -4 - (9 + -3)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -5*i + 8 - 2, 5*i + 10 = -5*h. Suppose i*k + 3949838 + 2850162 = 0. What is k rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11 and 232.\nAnswer: 2552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-85)\/39 - 484\/3146?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 8*d = -10*d + 354965, 25 = 5*d. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -2*f**4\/7 + 95544*f**3\/7 - 1132739388*f**2\/7 - 199271439144*f\/7 - 8699880187602\/7 = 0?\nAnswer: -87, 23973","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve c = -4*x + 160, 108 = -32*x + 34*x + 14*c - 5*c - 6 for x.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 33220321 (base 5) to base 12\nAnswer: 11b198","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 4207337708202 and -0.22.\nAnswer: 4207337708201.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*l**3 + 8425*l**2 - 8425*l**2 + 165 + l**4 to the form w + y*l**3 + z*l**2 + h*l**4 + c*l and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:46 AM and 7:43 AM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 6, 81 in increasing order.\nAnswer: 5, 6, 81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -33 + -1ba5438?\nAnswer: -1ba546b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20, -439, -884, -1309, -1708, -2075, -2404, -2689?\nAnswer: -2924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 2*s**2 - 11*s + 58. Let d be z(9). What is the highest common divisor of 22 and d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.092 + 12.892. Let a = 0.23939219 + -13.03932319. Let p = k + a. Round p to 5 dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/(-18) - (-9805)\/222. Is ((-3659)\/4)\/((-8 - 3)\/f) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (112\/(-84))\/(4\/(-9)) + 31 + -5.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 240 + -204. Let b be 9\/i + 1 + (-532)\/400. Let n be 9\/(-15)*(-1 + -4). What is the fourth smallest value in b, -4, n, 0.4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 23675 - 11104. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -259*n**2 + 4130 wrt n.\nAnswer: -518*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2 + 0 - -2) + 10 + -14. Put 5, a, 2, -1 in descending order.\nAnswer: 5, 2, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 265571, 266611, 268345, 270773, 273895, 277711, 282221?\nAnswer: 287425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -3*n - 2. Let q(v) = -3*v**2 + 11*v + 9. Let y be q(4). Let t(a) = 16323*a - y*a**2 - 16323*a. Calculate t(s(l)).\nAnswer: -45*l**2 - 60*l - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m when three letters picked without replacement from {m: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 j when two letters picked without replacement from {e: 8, i: 3, d: 4, j: 3, a: 1}.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14, 27, 40, 53, 66, 79?\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -59, -398, -1245, -2834, -5399, -9174, -14393?\nAnswer: -21290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -446636 or -446641?\nAnswer: -446641","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 t when two letters picked without replacement from tsjgpgnntgn?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -4, 2, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5401 - -14905. Is 24 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = -2*d + 7*d + o, 2*d + o = 15. Calculate the smallest common multiple of 106 and d.\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ebbb when four letters picked without replacement from lbbebll.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7\/(-28) - 1\/((-8)\/802)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7041 + -2290. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 16*j**2 - 33*j - 3. Let p be t(2). Let u(a) = a. Let z(o) = -15*o**2 - 5*o. What is p*u(i) - z(i)?\nAnswer: 15*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -10*-3*2\/15. Let x(t) = 16*t**2 - 6*t + 9. What is the tens digit of x(k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 - -3)\/1 - (-7 + 8). Suppose 2*b + 3*b = -3*n + 23, 0 = 2*n + b - 13. Let v be 5 + (-3 - n\/(-3)). Solve 2*c + g*c - t - 8 = 0, c = -t + v for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**4 - y**2 - y. Let x(n) = -14*n**4 - 16*n**3 + 22*n**2 + 50*n - 32. Let c(p) = -10*g(p) - x(p). What is q in c(q) = 0?\nAnswer: -4, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3 - 2\/(-2) - -7. Let s(a) = 2*a - 8. Let x(m) = -2*m + 9. Let v(o) = 3*s(o) + 2*x(o). Let d be v(k). Solve 2*c = d*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*h - 29*h = -137*h + 1122 for h.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -35 - -73. Suppose 2*u = -0*u - 3*h + 8, 0 = 3*u - 2*h - j. Let d(y) = y**3 - 2*y**2 - 13*y + 13. Is d(u) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 116324 - 26028. What is the thousands digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the second derivative of -v**6\/10 - 33*v**5\/20 - 9*v**4\/4 + 11*v**3\/2 + 15*v**2 - 3*v + 141. Let t(x) = 0. What is x?\nAnswer: -10, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3*2*(4 + -3). Let w be t*5\/(-165) + 2\/11. Solve 5*s - 2*l - 2*l + 9 = 0, w = -l + 1 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*n + 3344223 + 2334777 = 0. Round n to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1031, -2046, -3051, -4040, -5007, -5946?\nAnswer: -6851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - -5 - (-47 + 53) - (4 + (1 - 20))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhssshshhho. Give prob of sequence hhho.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -4*r - 3. Calculate d(2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14 + 14 - 9*o + 0*o**3 + o**3 wrt o?\nAnswer: 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 14 = -39. Let q(b) = b**3 + 4*b**2 - 6*b - 3. Calculate the remainder when 4\/10 - 8\/(-5) is divided by q(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z - 2*i + 6 + 4, -20 = -3*z - 4*i. Suppose 0*h - 7*h = z. Solve h = -5*r + 8*r + 9 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 5*h - 0*k - 47, -k + 49 = 5*h. Suppose 410 = 5*q + 5*d - 20, d + 424 = 5*q. Calculate the greatest common divisor of h and q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 448.9968 kilometers to meters.\nAnswer: 448996.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 69540304 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the second derivative of -529*q**2 - 1\/6*q**4 + 0 - 46\/3*q**3 - 9*q. Factor m(y).\nAnswer: -2*(y + 23)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 415831017?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 2*d**4 - 74*d**3 + 210*d**2 - 206*d + 68 = 0.\nAnswer: 1, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 96039802 to the nearest integer?\nAnswer: 9800","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 5*f - 15. Let q be x(6). Let y(b) = b + 1. Let g be y(4). Calculate the greatest common factor of g and q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:20 PM and 6:30 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3550\/(-16) - 5\/10. Let d = 222 + o. Sort 5, 1\/3, d.\nAnswer: d, 1\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * -63\nAnswer: -6.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1444254 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: Round -0.034496144 to three dps.\nAnswer: -0.034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6\/731 or 784?\nAnswer: 784","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 2*j + 2*j**2 + j**2 - 41*j**3 + 32*j**3 + 2*j**4 in the form p + y*j + t*j**4 + b*j**3 + v*j**2 and give b.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 0*d**2 + d**3 - d**2 - 2 + 0 - d**2. Let b(i) = 6*i**3 - 103*i**2 + 16*i + 23. Let w be b(17). Let x(y) = -y**3 + 2*y**2 + 2. Give w*p(s) + 5*x(s).\nAnswer: s**3 - 2*s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:29 AM and 4:09 AM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*j = -3288 + 2720 for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 0 - (-6 + 3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4 - 3 - -1*2. Suppose -r - 3*h = -8, -3*h + s = -3. Solve -2*p - r*m = p - 2, -m = 5*p - 1 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1350 divided by -27.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (-8 + 2 - (-3 + -1)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o. Let z(a) be the first derivative of a**4\/12 - a - 2. Let b(i) be the first derivative of z(i). What is r(b(j))?\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 178073 - -a?\nAnswer: 178081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 797 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + 2*m + 2, -2*m - 6 = r - 4*m. Suppose -1002*j = -1022*j + 200. Solve -2*t = 2, r*z + t + j = -t for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7880695 - 3*r - 7880695 + 9*r**3.\nAnswer: 9*r**3 - 3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 2*h = -w - 1, -10 = -5*w + h. Suppose -4*f + 15 = w. What is the common denominator of -2 + f\/8*-2 and 20\/7?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5828778.\nAnswer: 2, 3, 79, 4099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 621\/(-69)*1\/(-3)*1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 20066 + -20066. Solve -z - 2*x - 4 = w, 8*z - 40 = 3*z + 5*x for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 474*r**2 + 153*r**3 - 309*r**2 - 165*r**2.\nAnswer: 153*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 28\/490 - (-276)\/70. Let x(o) = -37*o + 43. Let j(c) = -9*c + 11. Let p(y) = -9*j(y) + 2*x(y). Calculate the remainder when 57 is divided by p(i).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 less than or equal to -78885291?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*u = -49*u + w + 51, 4*u + w = 75. Solve 0 = 4*g - m - u, 5*m + 28 = 4*g + 2 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(17) + (sqrt(51)\/sqrt(3))**2)*-2 + sqrt(17)).\nAnswer: 5*sqrt(17) + 170","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w + 12. Let x be n(7). Solve -5*b - x = y, 3*b + 7 = -2*y - 10 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1494 and -3141 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 430, 451, 498, 583, 718, 915?\nAnswer: 1186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 5, 8965 in decreasing order.\nAnswer: 8965, 8, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*l + 2*l**3 - 5*l)*(-15953 - 103*l + 15953).\nAnswer: -206*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -2260572.48 to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-4\/5))**(3\/4))**(-8\/9) assuming h is positive.\nAnswer: h**(8\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 18960801011 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -3*s**3\/4 + 1656021*s**2\/2 - 914135184147*s\/4 = 0.\nAnswer: 0, 552007","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is c45b (base 13) in base 15?\nAnswer: 807b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + 3. Let l = 158.19 - 157.69. Sort q, 11, l in descending order.\nAnswer: 11, q, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 122796.1 litres to millilitres.\nAnswer: 122796100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -16, 881253.\nAnswer: -16, 5, 881253","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13 - 3)\/(-57 - -59).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*g**3 + 2*g**3 - 2*g**4 - 4*g**4 + g**4 + 2*g**4 + (-2*g + 2*g + 2*g)*(-g**3 - 4*g + 4*g) - 9*g**2 + 6*g**4 + 9*g**2.\nAnswer: g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2054 + 2058. Solve 13*a = u*a - 36 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the first derivative of 0*x**5 + 1\/6*x**6 + 0*x**4 + 2\/3*x**3 + 0*x**2 + 1 + 0*x. Find the third derivative of w(m) wrt m.\nAnswer: 60*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 52360778 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2144c5a (base 13) in base 12?\nAnswer: -3495a52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18 - -21. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -17 + 26. Suppose -k = -y + 23. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 268.7 (b) 3 (c) 0.2 (d) 0.6 (e) -2\/15\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2386, 4769, 7152, 9535, 11918?\nAnswer: 14301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 41 = d, 2*w - 4 = 4*d + 40. Let t = -7 + 12. Suppose a + w = -t*a. Sort -11, 0, a in ascending order.\nAnswer: -11, a, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37879 - 81762 = -197*r + 56674. What is the highest common factor of r and 3938?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.0198 - 0.7238. What is b rounded to one decimal place?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 30 = 2*u. Suppose 0 = 4*t + 2 + u. Let i(b) = 2*b**2 - 3*b + 2. Let x(o) = 2*o**2 - 4*o + 3. Let h = 9 + -7. Give h*x(n) + t*i(n).\nAnswer: -2*n**2 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -13*d + 3075. Is 15 a factor of m(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-18)\/(-5) + (-144)\/90. Let k = 0.2 + -0.1. What is the closest to t in 0.5, k, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 44285791*q**2 - 25706182 wrt q.\nAnswer: 88571582*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15 (base 16) to base 4.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**2 - 7*b + 2. Let t be w(-7). Suppose -6 = f + t*s - 16, 5*s - 25 = 0. Suppose 3*c - 5*c + 16 = f. Does 8 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2\/901 + 109025\/1802. Let y = -62 + j. Put -4, 0, y, -1\/3 in descending order.\nAnswer: 0, -1\/3, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 7, w: 7}. What is prob of sequence wwvv?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14512368 by -1.\nAnswer: -14512368","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6723, 6757, 6793, 6831, 6871, 6913, 6957?\nAnswer: 7003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:44 PM and 12:22 AM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 14*d**2 + 683*d + 600. Give g(-48).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i + 7*i = -j + 57, 0 = -2*j - 2*j + j + j + 12*i - 128 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 + 10. Which is the smallest value? (a) 1\/2 (b) 2\/11 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a litre in millilitres?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -328.81 * -2.\nAnswer: 657.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 122 - -200?\nAnswer: 322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 80 (b) -0.9 (c) -3 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 127 - 105. Let p(b) = -7*b + 196. What is the remainder when 125 is divided by p(u)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8 * -97.\nAnswer: -776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 - 12. Let a(q) = q**2 + 6*q + 2. Let d be a(-5). What is the nearest to t in d, -5, 3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -5*w. Let o(j) = -21*j + 172. Give 4*g(v) - o(v).\nAnswer: v - 172","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1619, -2, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**2 + 9*c - 2. Let y(o) = -o**2 + 11*o + 8. Let x be y(11). Calculate f(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**2)**(-1)\/(b\/(b\/b**1)*b*(b\/b**(5\/2))\/b*b*b) assuming b is positive.\nAnswer: b**(-7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (w**3 - w + w)*(-7 - 2 + 2) - 3 + 3 + 2*w**3 - 3*w**3 + 6*w**3 - 2*w**3 in the form g*w + x*w**3 + s + t*w**2 and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/26? (a) 0.1 (b) -4 (c) 0.1012\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3912*b**2 - 3912*b**2 - 7*b**4 + 161 + (0*b + 0*b + 2*b)*(0*b**2 + 0*b**2 + b**3) + 77 + 4*b**2 - 2*b**4 - 77 + b**3 - b**4 - b**3.\nAnswer: -8*b**4 + 4*b**2 + 161","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((15\/3)\/(-20))\/((-5)\/(-280))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*k**3 - 129535*k**2 - 806332*k - 172788.\nAnswer: (k - 14399)*(k + 6)*(9*k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 41706 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: Simplify ((1*sqrt(396)*-3)\/sqrt(11))\/(6*sqrt(1452)*-2).\nAnswer: sqrt(3)\/44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1524671537 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(15\/7))**(-36))**(26\/5) assuming r is positive.\nAnswer: r**(-2808\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32\/10*5*42\/56?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 103403347 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-17\/5)\/j*j)\/j**(-2\/3))\/(j**(-2\/23)\/j*j*j\/(j*j**(-6))*j*j) assuming j is positive.\nAnswer: j**(-3673\/345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 25.50134 rounded to 1 decimal place?\nAnswer: 25.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -389*l**2 - 37*l**4 + 389*l**2 + (-2 + 2 - 2*l)*((2 + 0 - 4)*(4*l**3 + l**3 - 3*l**3) + 2*l**3 + 0 + 0 + (3 - 5 + 0)*(-2 + 2*l**3 + 2)).\nAnswer: -25*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/(((-95625)\/(-340))\/45)?\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 0) + -55 + (-21 + -11 + 23 - -15).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 2\/67102345?\nAnswer: 2\/67102345","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 441 - 441.2. Let v = -251\/4 + 63. What is the closest to 0.4 in w, v, 3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -271*p + 1078. Give i(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -981*d**3 - 5*d**2 + 19*d + 42. List the prime factors of v(-2).\nAnswer: 2, 11, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/(-3) - (-408)\/(-60).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -197878.45 to the nearest 100.\nAnswer: -197900","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-o - 2 + 2)*(3 + 3 - 3) + (164 - 84 + 110)*(0 - o + 0).\nAnswer: -193*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is c7 - -4?\nAnswer: cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-10)\/l)**(2\/45))**(-50) assuming l is positive.\nAnswer: l**(220\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 124116491 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**3 + 19*l**2 - 32*l - 35. Let h be s(17). Let z be h*(-1 + -151)*1. Which is smaller: 153 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 27414607?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -3*a**3 - 2*a**2 + a + 3. Let k be 2 - 9\/((-21)\/(-7)). Let g be s(k). What is the highest common factor of 13 and g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78*m - 170 = -170. Let u = 17 - 7. Suppose -3*t + u = 2*t + 5*h, 30 = 5*t - 5*h. Solve t*o = -2*v + o + 3, m = -4*v - 2*o + 10 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 356*j**2 - 7 - 906*j**2.\nAnswer: -550*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2380280892?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 85 = -741. Let h be (-2)\/(-5) + i\/(-10). Suppose -5*u + 278 = h. What is the highest common divisor of u and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 4, f: 2}. What is prob of picking 2 f?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 16) in base 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 2*p**2 - 18*p - 8. What is l(9)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3105 and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -11 - 43?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.071428 to three dps.\nAnswer: -0.071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b*b**(2\/5))**(2\/19))**(-7) assuming b is positive.\nAnswer: b**(-168\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 + 8*j**2 + 5*j + 9. Calculate the remainder when 76 is divided by k(-3).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6609584456.816933 - 6609587742. Let u = -3285.1 - m. Let a = -0.083 + u. Round a to five dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**3 - 4*b**2 + 2*b - 3. Let i be p(4). Solve 0 = 4*d - 3*d + i for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5280492 - 292.807?\nAnswer: -5280784.807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12409 is divided by 63.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4 - 5)*(3*b**4 + 3*b - 3*b) + 8*b - 5*b**4 - 8*b + b**4 - 4*b**4 + 2*b**4.\nAnswer: -9*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 4*r**3 + 66*r**2 - 15*r - 82. Calculate q(-16).\nAnswer: 670","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1755 and 130.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -615 + 1849. Let o be 676*(-3 + (-13)\/(-2)). Suppose -h - o = -2*s. What is s rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/2 (b) -77 (c) 359 (d) -7 (e) -2\/11 (f) 0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 882*x + 29323 = -26952 - 4583 for x.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -34 + 33 - (9 + 0)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 0 + 10 - (-240 + 246).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 2454?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a millimeter in micrometers?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 245917?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the first derivative of -i**2\/2 - 11*i + 3. Let k be j(-8). Sort k, -4, -5 in descending order.\nAnswer: k, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.07 and 827458.8.\nAnswer: -57922.116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 16*p**2 - 4207*p + 1407*p + 1407*p - 3604 + 1406*p wrt p.\nAnswer: 32*p + 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59478206.\nAnswer: 2, 17, 1749359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/2589244 and -107\/2660.\nAnswer: 12946220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.2 or 3\/286?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.03 - 59.0607242096.\nAnswer: -60.0907242096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -15593026 and -1.\nAnswer: 15593026","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1147*m - 26737 - 17582 = 29089 for m.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 63375.2057 to the nearest one hundred.\nAnswer: 63400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 45 - 359. Let j = 71065 - 919765\/13. Let h = j + s. Which is the nearest to 1? (a) h (b) 1\/9 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/((207\/390)\/(-3)). Let i = -1085648 + 49937363\/46. Let s = g + i. Calculate the common denominator of s and -3\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -8*g - 47. Let w be s(-11). Let r = w - 66. Let y = -53\/2 - r. Are y and -1\/27 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7483*w - 7549*w - 1848 for w.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 390, 436, 482, 528, 574, 620?\nAnswer: 666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 + 1. Suppose 0 = -f*s + 3*s + 3. Let u(p) = 2*p + 4. What is u(s)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 391 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2309 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 4*g**2 + 15*g**4 - 33*g**4 + 10*g**4 + 16*g**4 in the form n + z*g + l*g**2 + y*g**4 + m*g**3 and give y.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 197 - 117. Let y = 11 - -9. What is the highest common divisor of y and s?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1036 and 98?\nAnswer: 7252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2 - 4808*m - 47880.\nAnswer: -2*(m + 10)*(m + 2394)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 10\/9 + (-3815)\/1962 + 1 + 0. Let c(i) be the second derivative of l*i**3 + 0 + 0*i**2 - 24*i. Let g(x) = 6*x**2. Give g(c(j)).\nAnswer: 6*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-164)\/(-14)*16177\/4622?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ogbbgoudomb. What is prob of sequence od?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (39*m**2 + 45*m**2 - 51*m**2)*(5 - 5 - 2) - 22*m - 3*m**2 + 6*m - 5*m**2 + 13 - 13.\nAnswer: -74*m**2 - 16*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (25840\/38)\/68*(-34)\/4.\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 3*j = 9. Suppose -2*q - 13999999 = -5*f - 3*q, -f = -j*q - 2800003. Suppose 2*n - 6*n = -f. Round n to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 317 and -0.12?\nAnswer: -38.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes before 12:34 AM?\nAnswer: 8:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*g - 23*g - 18*g.\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 170 + -154. Suppose k*c = 11*c + 1935. What is the greatest common factor of 43 and c?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 537\/18 + 2\/12. Suppose 0 = -3*i - 0*i + v. List the prime factors of i.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 7*m - 11. Give b(7).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 1613*m**3 - 5*m**2 + 7*m + 26. Is f(3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11102010 - 10210?\nAnswer: 11031200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 702 and 780?\nAnswer: 7020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**3 + 13*v**2 + 23*v + 15. Let z be r(-11). Solve 2*s + z = -2 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 565744458 to the power of 1\/3, to the nearest integer?\nAnswer: 827","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -566770416 by -23536.\nAnswer: 24081","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 76, 11, -1, -5, -2 in decreasing order.\nAnswer: 76, 11, -1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1128993?\nAnswer: 3, 269, 1399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 44466621271827\/18172 + -2446985537. Let b = g + -1\/2596. Which is greater: 4\/3 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 7, 35, 63, 91, 119, 147?\n\"Answer: 28*a - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**3 - 5*y**2 + 7*y + 8. Calculate n(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 2*z - 3. Suppose 19 - 7 = 6*d. Suppose -5*c - d*j + 1 = -4, 5*j = -25. Let f be y(c). Solve f = -n - 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/7, 1, -0.2, 8 in ascending order.\nAnswer: -3\/7, -0.2, 1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-726123)\/(-82 + 25) - (0 + 3 - -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 117064419?\nAnswer: 3, 39021473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.335232 to three dps.\nAnswer: -2.335","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -31 - -28 - (-8 + 0 + 2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 6*g = -3*h + 252, -h = -4*g + 504. What are the prime factors of g?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 8*l**3 + 1. Let y be q(1). Solve u + 5*n + y = 3*n, -2 = 2*u - 4*n for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 + 1. Let c(t) = 2*t**2 - 15*t - 3. Let m(l) = -l**2 + 7*l + 1. Let a(b) = -6*c(b) - 13*m(b). What is the remainder when a(3) is divided by d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.47 + 0.53. Let r(m) = -4*m**3 + 2*m**2 - 1. Let t be r(1). Let k = 0.3 - 0.6. What is the nearest to d in k, t, -4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*f + 4*f**2 + 208760*f**3 - 14*f**2 + 3 + 8*f**2.\nAnswer: 208760*f**3 - 2*f**2 + 3*f + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2963.1374041 + 0.0274041. Let o = 2950 + n. Round o to zero decimal places.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 1 x when three letters picked without replacement from {i: 1, w: 3, x: 1}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*v = 3*t + 13*v - 18, v = 2*t - 3 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 + 2 = 3*a + 33 for a.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -2*o**2 + 29*o - 19. What is the units digit of k(11)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 - -12430?\nAnswer: 12431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n + 67. Determine x(31).\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -58, -124, -200, -292, -406, -548, -724, -940?\nAnswer: -1202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -62\/9 and 4 + (948\/540 - 1\/5).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - 0) + (1 - ((6 - 2) + -5))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2202077 divided by -1\nAnswer: 2202077","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and 103.\nAnswer: -51.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:17 PM and 5:11 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2138, -8548, -19234, -34202, -53458?\n\"Answer: -s**3 - 2132*s**2 - 7*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 45*t - 46*t = -24 - 60, -4*r + t = -76 for r.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:11 PM and 6:08 PM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1699659 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 257 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 3 = 23. Suppose 0 = 3*f - 5*y + 1, 4*f - 19 = -j*y + 3. Suppose -4*a = -f*b - 118, a + 36 = -b - 8. Round b to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*f**3 - 100 - 2567*f - 906*f**2 - 2667*f + 4633*f = 0.\nAnswer: -100, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7 + 6071\/(-400) + 80\/10 and 173\/480.\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -45*z**5\/4 + 1581*z**4\/2 - 3720*z**3 - 16983*z**2\/2 - 10419*z\/4 + 1365 = 0.\nAnswer: -1, 4\/15, 7, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 2 u when three letters picked without replacement from puppuppppp.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 41 and 533.\nAnswer: 533","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 467813 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 960\/12 + 16 + -11. Solve -3*p - 2*q = -23, 5*q - 41 = a*p - 87*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -5, -3, -1, 1574\/13, -4\/7 in decreasing order.\nAnswer: 1574\/13, 0.1, -4\/7, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 7, q: 1, k: 6}. What is prob of sequence llkl?\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -2*l - 27. Let t be l\/((-1)\/1) + 3. Suppose 2*w = 90 - t. Does 30 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5\/(-200)*-4)\/((-60)\/(-75))\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*y**3 - 20 - 27 - 8*y + 45 to x*y + w + h*y**3 + o*y**2 and give x.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 34 + 11. Suppose 72*h - y = 67*h. Find b such that -23 + h - 19*b + 2*b**2 + 31*b = 0.\nAnswer: -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 25*m**2 - m - 1. Let l be f(-1). Suppose 0 = -11*w + 15*w + 60. Let o = w + l. What is the smallest common multiple of o and 1?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cs when two letters picked without replacement from {q: 2, c: 10, s: 3}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 159 a factor of 23691?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes before 2:32 PM?\nAnswer: 12:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1861.31mg in tonnes?\nAnswer: 0.00000186131","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -420 divided by 42\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 + -3. Let f(h) = h**2 - 10*h + 6. Let x be f(11). Let v be (-1 + x\/15)\/(1\/(-3)). Sort q, 2, v in descending order.\nAnswer: 2, q, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.035137 tonnes in nanograms?\nAnswer: 9035137000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes after 1:11 AM?\nAnswer: 4:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*g**3 + g**3 - 581 - 2*g**3 - 3*g**2 + 4084.\nAnswer: g**3 - 3*g**2 + 3503","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1196 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9119, 18008, 26675, 35120, 43343, 51344, 59123?\nAnswer: 66680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 298602672 to the nearest integer?\nAnswer: 668","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -12*q**2. Let r(d) be the first derivative of -2*d**3 + 1210. Determine w(r(g)).\nAnswer: -432*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1656738 + -4.399.\nAnswer: -1656742.399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 2*p + 320, -4*w - 29 = p + 161. Let l = p - -171. What is the highest common divisor of 5 and l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, -2, 36, 2, 0, 138 in decreasing order.\nAnswer: 138, 36, 13, 2, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 9*x**3 - x**2 - 3*x - 7. Suppose 3*v = 4*t + 24, -t - 6 = t. Is r(v) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -992*v + 984*v + 17304 = 0. Does 7 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 289334?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-163)\/(-2375) + (2214\/171 - (-4 - -17))\nAnswer: 2\/125","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 27335 and 31185.\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -259126.331 to the nearest 1000.\nAnswer: -259000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1.5, 4, -15?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7891 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2*3*(-42)\/(-12)*-10. Let r = 109 + k. Which is greater: -103 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1*(-1 + 0 + 2). Suppose k = 3*z - 8. Suppose -5*o = 4*m + 14, 5*o + 6 = -4. Sort z, -2, m in decreasing order.\nAnswer: z, m, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence np when two letters picked without replacement from pnffnaf?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, -2\/17, -2416\/7, 1, 2\/49, -2\/13, 5?\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -380*t + 198*t + 185*t - 44 + 25.\nAnswer: 3*t - 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 53 + -10. Suppose 5*y - p = 95, 0 = y + p - t + 18. Calculate the greatest common factor of y and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-11)\/44)\/(1\/(-12)). Solve -h - 5 = -v, -v + s*h = -11 - 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*v**3 - 4 - 33*v**3 - 7 + 35*v**3 + 11.\nAnswer: 27*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -35933000 to the nearest 1000000.\nAnswer: -36000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001231318 rounded to seven decimal places?\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(-1)*-3*1. Let k(m) = m**3 + m**2 - 4*m + 3. Give k(g).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 92\/15 + (-16)\/120. Solve 0 = 2*i + 3*x - 18, -3*i + t = 2*x - 11 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 873, 1746, 2617, 3480, 4329, 5158, 5961, 6732?\n\"Answer: -v**3 + 5*v**2 + 865*v + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jfh when three letters picked without replacement from harrrrafrrrrprafjfh?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (5*-3)\/((-8)\/40). Suppose -2*u = 9 - g. Does 11 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes before 8:25 PM?\nAnswer: 1:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -8*h. Let f(n) = -17*n. Let v(p) = -6*f(p) + 13*q(p). Let s = -4 - -2. What is v(s)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/6, -5, -0.2001, 22, 2\/27 in increasing order.\nAnswer: -5, -0.2001, 2\/27, 1\/6, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2708 is divided by 379.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, -0.1, 177, 0.05, 1 in descending order.\nAnswer: 177, 1, 1\/2, 0.05, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert abc (base 13) to base 12.\nAnswer: 1099","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 49520 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 5, 14870 in ascending order.\nAnswer: 5, 8, 14870","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 7*i - 29. Let l(b) = 3*b - 14. Calculate -9*l(z) + 4*p(z).\nAnswer: z + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mbmbbbqiiibbmb. What is prob of sequence qmmi?\nAnswer: 3\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -51 + 2 - (3691 - 3813)?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(1\/5)*w**(3\/5)*w)**(-2\/15) assuming w is positive.\nAnswer: w**(-6\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f + 2*o + 472, -4*o - 12 = 8. Let q = f - 126. Calculate the lowest common multiple of q and 24.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31780?\nAnswer: 2, 5, 7, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + d = 0. Let p be (3 - d)\/(-3)*-2. Suppose 3*j - j - j**2 + j - p = 0. What is j?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.6329 rounded to 1 decimal place?\nAnswer: -7.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 + 3)*(4*b**2 - 3*b**2 + b**2) + 0*b**2 - 4*b**2 + b**2 + (b + 4*b - 3*b)*(6 - 6 - 3*b).\nAnswer: -7*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 4*z + 16, -5*m - z + 5*z + 96 = 0. Solve 4*t - m = -t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000217666431 to 7 decimal places.\nAnswer: 0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 29*w**2 + w. Let b be h(1). What are the prime factors of (-2 - (-5)\/((-20)\/(-12)))*b?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-1*sqrt(209) + (sqrt(209) - (-5*sqrt(209)*-2 - sqrt(209))))\/((-5*-3*sqrt(132))\/sqrt(12)).\nAnswer: -14*sqrt(19)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 9*a - 1. Let r be 55\/4 + 3\/(-4). Let v = 2 + r. Calculate the remainder when v is divided by u(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/5? (a) -4\/5 (b) -9\/7 (c) 4 (d) 23 (e) -2 (f) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -5 + (sqrt(18))**2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 84.44 - -1.56. Let a = 46 - m. Let q = 39.99999955 + a. Round q to seven decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/2 - 30\/(-12). Put -0.01, 0.5, 2\/17, i in ascending order.\nAnswer: -0.01, 2\/17, 0.5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 - -9. Suppose -5*y = -d - 6, -5*d + c*y - y = -12. Suppose d*w + 8 = -0*w. Sort 0, w, -0.2 in ascending order.\nAnswer: w, -0.2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r - 3*r - r)*(2141*r**2 - 46*r**3 - 2141*r**2) - 6*r + 3*r**4 + 123 - 121 + 0*r**4.\nAnswer: 49*r**4 - 6*r + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 830*z - 810*z = -20. Let h = -356 + 1067\/3. Which is the fourth biggest value? (a) h (b) z (c) -1\/2 (d) 7\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17 + -12. Solve -3 - 17 = f*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*2*sqrt(52) + -3)**2.\nAnswer: 144*sqrt(13) + 7497","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*t + 14*t = -3*z + 605, -5*t = 25. List the prime factors of z.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in twenty-one halves of a millennium?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 7) in base 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 60.043 - 0.043. Let f = t - 55.7. Let a = -0.3 + f. What is the third biggest value in 0.2, 1\/7, a, -4?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes after 12:29 PM?\nAnswer: 1:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) -4 (c) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 1072475520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, q: 2, s: 2, r: 1, f: 6}. Give prob of picking 1 s and 1 f.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -160 = -5*g + g. Let i = g - 2. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (38\/(-20) - -2) + 0. Let w = -1 + 1.3. Which is the closest to w? (a) 1\/4 (b) u (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d + 34. Suppose -4*p + c + 1 = 13, -3 = p + 3*c. Let h = p - -3. Is b(h) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5424218 + -58?\nAnswer: 5424160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -13*m**5 + 73*m**4 - 85*m**3 + 19*m**2 + 5. Let p(g) = g**5 - g**4 - g**3 - g**2 + 1. Let l(k) = 5*p(k) - r(k). Factor l(v).\nAnswer: 2*v**2*(v - 3)*(3*v - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/6*(-18)\/4. Let a be (-2)\/(6\/l) + -1. Let s = a + 0. Solve -q + 5*r + 23 = s, -q = -4*q - r - 11 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 403 + -376. Let u(r) = 3*r**2 - 46*r + 19*r - r**2 + h*r. Let v(g) = -681*g**2. Determine v(u(w)).\nAnswer: -2724*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 19226754 and 888?\nAnswer: 76907016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.04 (b) -23754 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes before 7:19 PM?\nAnswer: 10:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 80 - 48. Let h(u) = -19*u + 69*u + k*u - 3. Is h(2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 m when two letters picked without replacement from {m: 2, h: 7}?\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = o + 12519, 0*b - 25032 = -4*b + 4*o. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*q - 50*q + 684 = 0 for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a6 + -11442?\nAnswer: -11369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1365524.4 months in millennia?\nAnswer: 113.7937","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 y, and 1 g when three letters picked without replacement from {g: 13, y: 3, s: 1}.\nAnswer: 39\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 89 + -53. Suppose 3*z = -l - 2*z + 39, -2*l + 4*z + q = 0. Let s be 14\/(-21) - (-25)\/l. Is 1 smaller than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -90326, -90410, -90494?\n\"Answer: -84*z - 90242","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 + q**2 - 19 - 3*q**2.\nAnswer: -2*q**2 - 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, g: 1, i: 1, f: 2, m: 1, x: 1}. Give prob of sequence fmhx.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 70976399 to the power of 1\/5, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*o + 433*o + 1431 - 419 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2356 (base 7) to base 3.\nAnswer: 1012101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2001706 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -4*m**2 + 92257*m - 46124*m - 45897*m = 0.\nAnswer: 0, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 3*g - 6*g + 224 = 0, 5*w - 2*g = -273. Let r = -49 - w. Solve r + 8 = 3*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-15)*((-147)\/(-49))\/((-2088)\/(-145)).\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/5 - 221\/(-85). Let y be l*((-16)\/12 + 2). Let s = 11 - 8. Solve -y*t + 2*i - 7 = -3*i, -2 = -t - s*i for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 32 + -9. Solve 15 = -5*o, 4*f = -f + o + j for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6.42 - 9.8. Let y = c + -0.12. What is y rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, -4, 19 in increasing order.\nAnswer: -4, -1, 4, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 743*n = 741*n - 51653, -j + 2*n + 17215 = 0. List the prime factors of j.\nAnswer: 67, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.02699902 - 0.027. Round r to 7 dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnqqnnqn. What is prob of picking 1 n and 2 q?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -5*b + 8. Let z be (-2)\/(-2 - (-12)\/b). Let p = 12 + -4. What is the highest common factor of z and p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-3))\/(99\/(-216)*4).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -758 = -2*z + 2*b, 4*b + 1516 = 4*z - b. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -373 divided by -11976?\nAnswer: 373\/11976","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vdnanet. Give prob of picking 1 d, 1 n, and 1 v.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-29)\/(522\/(-54)))\/((-6)\/(-16078)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**23\/t)\/t**(5\/4) assuming t is positive.\nAnswer: t**(87\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3\/4 or 43.8?\nAnswer: 43.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7773539*x + 6324 = -7773743*x for x.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**3 + 8*p**2 - 10*p. Let a be x(2). Determine u so that -1\/2*u**a - 1\/2 - 1\/2*u + u**2 - 1\/2*u**5 + u**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 7, -1, 50, 1936 in ascending order.\nAnswer: -1, 5, 7, 50, 1936","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 99 and 387.\nAnswer: 4257","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the second derivative of v**5\/20 - 2*v**4\/3 + 7*v**3\/6 + v**2 - 8*v. Is c(9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14342 * 0.01\nAnswer: -143.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 1 - (-26 + 17).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**14\/g**1*(g*g*g*g**19)\/g**(1\/3) assuming g is positive.\nAnswer: g**(104\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhxxu. What is prob of sequence xx?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 60 = -14*i. What is the third biggest value in -0.2, 2, i, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1 (b) -0.05 (c) 1\/3 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o. Let r(a) be the first derivative of -3*a**2\/2 + 3*a - 11. What is -r(b) + x(b)?\nAnswer: 2*b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1314.19 + 1334. Let z = 19.36 - 0.36. Let u = d - z. What is u rounded to 1 decimal place?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 - 9*s**2 - 6*s + 6. Give w(-8).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/36 and 85\/564858.\nAnswer: 1129716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 100806001?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**3 + 16*b**2 - 181*b + 1265. Give t(11).\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes before 11:44 PM?\nAnswer: 10:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**2 + 27*w + 22. Let v be c(-26). Let j(h) = -h**3 - 4*h**2 + h - 5. Let f be j(v). Sort f, -3, 2, 1.\nAnswer: f, -3, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 z when two letters picked without replacement from bfz.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7628*o*r**5 - 34*o + 6631*r**5 + 1290402*r wrt r.\nAnswer: 152560*o*r**3 + 132620*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7588.\nAnswer: 2, 7, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:40 PM and 11:26 PM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, 531, 4, -0.4, 3\/2, 28 in decreasing order.\nAnswer: 531, 28, 4, 3\/2, 2\/7, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**2 + 3*v - 28.\nAnswer: (v - 4)*(v + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 68178 to the power of 1\/2, to the nearest integer?\nAnswer: 261","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1429368443?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -46 - -48. Let b be (-24)\/(-16)*t\/27. Is b bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 101048?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 331 = 3*a, -2*a - 2*a = 5*s - 439. Differentiate -128*u**2 + 6*u**3 - 2*u**3 - 3*u**3 + a*u**2 + 116 with respect to u.\nAnswer: 3*u**2 - 34*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1673\/19 + 88. Suppose -w + 5 = 3*a, -28 = -4*a + 74*w - 70*w. Let y = 8 - 8.3. What is the third biggest value in p, a, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7317 is divided by 407?\nAnswer: 398","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = -w - 3. Let v be (w - -4)*21\/1. Let z(o) = 8*o + 2. Let g be z(5). Calculate the highest common factor of v and g.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 + -232?\nAnswer: -221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 99 a factor of 936936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 3*h + 5 = 0, -i + 18634 = -4*h + 18640 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1001 and 77?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 611*a - 1663*a - 2789*a - 4922*a.\nAnswer: -8763*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 3*y + 2*a, y + a + 10 = -2*a. Suppose 2*k = -y*k + 484. What are the prime factors of k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p**4\/4 - 67413*p**3\/2 + 134817*p**2\/4 + 269653*p - 404475 = 0. Calculate p.\nAnswer: -3, 2, 134825","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/68163369 and 17\/147.\nAnswer: 3340005081","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 2*v = -36 + 28, 0 = 3*n - 3*v + 15 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -356713903 + 356713903 + 36*q.\nAnswer: 36*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2118151 a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 297 and 1045?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2*(-2)\/4*5. Let a = 15 + z. What is the smallest common multiple of a and (3\/(-2))\/(27\/(-72))?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48864 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r + 3. Let x be d(-3). Let s(n) = x*n - n - n**3 + 7*n - 6*n**2. What is the units digit of s(-7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5173 divided by -20143\nAnswer: 5173\/20143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-26)\/(-10) + (-9 - -6)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 245551 and 12182498?\nAnswer: 377657438","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -174*i**3*r + 31549*i**3 + 5597*i*r + 271*r wrt i?\nAnswer: -1044*i*r + 189294*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79104?\nAnswer: 2, 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -32*c - 72*c + 151*c + (6 + 6 + 7)*(-c + c + c).\nAnswer: 66*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3 - -8 - (-3 - -5). Suppose 0 = y*m + 7*m - 160. Solve -m = -5*j + j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.22783 - -15397?\nAnswer: 15396.77217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 242392 and 17736.\nAnswer: 727176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -171*b + 3254. Let q be w(19). Find j, given that 0*j + 3\/4*j**4 + 1\/4*j**q - j**3 + 4 - 4*j**2 = 0.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -51403, -13, -2\/23.\nAnswer: -51403, -13, -2\/23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the third derivative of z**7\/2520 - z**6\/60 - 3*z**5\/20 + z**2. Let u(s) be the third derivative of q(s). Suppose 143 + 81 = 28*m. Determine u(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12865958095 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4524.671ng to micrograms.\nAnswer: 4.524671","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 52859 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w + 37. Let c(n) = -n. Let r = 18837 - 18838. Determine r*u(l) - 3*c(l).\nAnswer: 2*l - 37","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.4 and 41.4.\nAnswer: 41.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.15 - 0.05. Let i = -4.8 + f. Let x be (-120)\/24 + 0 + 11 + -1. Which is the nearest to -0.1? (a) 2\/11 (b) x (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -6*g + g. Does 6 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -3*o**2 + 47*o - 27. Let l be t(15). Suppose 0 = -y - l*h + 99, -4*y + 9*y - 438 = 4*h. What is the greatest common divisor of 135 and y?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*h**5 + 48*h**4 + 201*h**3 - 493*h**2 + 264*h - 36 = 0.\nAnswer: -3, 3\/14, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**2 + 3*h - 2. Suppose -2*z - 2*n - 4 = -0*z, -5*z = -3*n + 26. What is d(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**2 - 31*o + 99. What is the smallest common multiple of (0 + 1 - 3)*5\/(-2) and y(-33)?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3645 (b) 1 (c) -3 (d) 2 (e) 3 (f) 2.1 (g) 2\/69\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -4*p - 9621, -4*p + 2*p = -5*f - 16009. Let l = 1585394743\/498108 + 1\/166036. Let n = l + f. Find the common denominator of -52\/9 and n.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 + -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes after 10:23 AM?\nAnswer: 10:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2.25 and 561948.\nAnswer: 561945.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes before 4:28 AM?\nAnswer: 6:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -52*x + 12*x + 1 - 1 to q + d*x and give d.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7354?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 244704?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 373754 - 2976813\/8. Suppose -4*v - 1650 = -5*v. Let r = q - v. What is the common denominator of r and 95\/14?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20000200 - 1120?\nAnswer: 12222010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add -56 and 0.12178.\nAnswer: -55.87822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i = 3*i + 2*o + 4, 0 = 3*i + o + 4 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26221752?\nAnswer: 2, 3, 17, 37, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1984 (base 13) to base 12\nAnswer: 226a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 422 is divided by 411?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 118834 is divided by 59066.\nAnswer: 702","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22283.54l to millilitres.\nAnswer: 22283540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -14 - -14 - 2\/8. Which is the second smallest value? (a) x (b) 1 (c) 0 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-3)\/i**(-2\/21) assuming i is positive.\nAnswer: i**(-61\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -563150506*s**2*w - 15*s*w - 16266535*s wrt s?\nAnswer: -1126301012*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -100955*y + 2. Let r(a) = 2*a. What is i(r(n))?\nAnswer: -201910*n + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes after 8:43 AM?\nAnswer: 10:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 1, 3, -0.3, 0.2, 4041?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 197494845?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 11*a + 44. What is j(-8)?\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 4 * 115.61\nAnswer: 462.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15 + -77. Let f = t + 95. Solve -2 = f*z + 4 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*j + 2*j**2 - 4*j - 2*j**2 - 3*j**2 + 2*j**2 + (-2*j + 2 - 2)*(1 + j - 1) + 2 - j**2 - 2 - 2*j**2 + 2*j**2 - 2*j**2)*(14 - 5 - 16).\nAnswer: 42*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1847?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 71578 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -55 + 15 + 3 + (-20 - -26) + -16?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 41608 to the power of 1\/2, to the nearest integer?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -794, -11, 4, -4, -2 in increasing order.\nAnswer: -794, -11, -4, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 2*d = -6, 7*h = 2*h + 3*d + 29. Suppose 3*f - 4629 = 3*x, h*f - x + 266 = 6438. What are the prime factors of f?\nAnswer: 1543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 39429125 to the nearest integer?\nAnswer: 6279","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**1)\/(r**4\/r)*r**(-4\/7)*r**(-3))**(-2\/3) assuming r is positive.\nAnswer: r**(64\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2221309 to the nearest integer?\nAnswer: 1490","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21540, -21544, -21550, -21558, -21568, -21580?\nAnswer: -21594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2339809015 * 0.5.\nAnswer: 1169904507.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 159921.38 rounded to the nearest one thousand?\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -44178 by -10.\nAnswer: 22089\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -681*j - 768*j + 53118 = -5*j - 36410 for j.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -317*i + 153656 = -309*i. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and -316.4347?\nAnswer: 31.64347","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*z - 8*z. Let r be z\/(-4) - (-10)\/4. Find the second derivative of 7*s - 9*s + s**3 + 2*s**3 - 6*s**r wrt s.\nAnswer: -18*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 99788193?\nAnswer: 3, 410651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -3*y**2 + 4*y + 8. Let v(s) = -3*s**2 + 3*s + 6. Let a(r) = -4*v(r) + 3*w(r). Let f(b) = 51*b. Calculate a(f(g)).\nAnswer: 7803*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -640828 + 1360828. What is h rounded to the nearest 100000?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n + 11 - 1. Let q = -22 + 48. Let m be 9\/q - (-1)\/n. Which is greater: -1 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the first derivative of 27*k**5\/20 + 39*k**4\/16 - k**3\/12 - 11*k**2\/8 + k\/2 - 146. Suppose o(r) = 0. Calculate r.\nAnswer: -1, 2\/9, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*y + 16 - 16 = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n**4\/4 + 35591*n**3\/4 + 261155*n**2\/4 + 83097*n\/4 = 0 for n.\nAnswer: -7, -1\/3, 0, 11871","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.0884 + 0.8576. Round v to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 192 + -183 - (-76 + -23)?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-158 - 35*c - 187 + 353)*(3 + 4 - 5).\nAnswer: -70*c + 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*i**2 - 2*i - 11*i**2 - 20*i.\nAnswer: -2*i**2 - 22*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (153\/(-34)*7\/42)\/(9\/(-6))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d = 19*h - 60, 0*d + 4 = 63*d - 64*d for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 1654*v**2 - 80*v + 157. List the prime factors of g(2).\nAnswer: 17, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 126602, 253200, 379802, 506408?\n\"Answer: 2*p**2 + 126592*p + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*k - 9*k - 3*k. Suppose k = -6*s + 24 - 0. Suppose 4*r = -5*h + 25, -18 = 6*h - s*h - 4*r. Sort -0.3, h, 5, -5 in ascending order.\nAnswer: -5, -0.3, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/79 (b) 0.5 (c) 89 (d) -4\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**3 + 15*r**2 + 14*r + 18. Is l(-14) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/266 and -18\/3611.\nAnswer: 960526","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -3719027, -3719121, -3719279, -3719501?\n\"Answer: -32*f**2 + 2*f - 3718997","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 4*d - 7, -2*j - 1 = 5*d - 27. Suppose 0 = -2*r + j*h + 158, 0 = -4*r + 7*r - 2*h - 237. Suppose -r*a + 83*a = 36. Is a a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - (-28)\/6)*3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4\/5 (b) -2 (c) 2 (d) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 1230 = 1232, 33 = 5*w - 4*f. Let y = -5.9 - 51.1. Which is the nearest to y? (a) -2\/7 (b) -5 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and -2862948.\nAnswer: 572589.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2*6\/(-16) + 1. Let b be 70\/(-30) + 1\/1. Let m = b + 13\/12. What is the nearest to m in -5, 1\/2, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -842 + 127*q**3 - 10*q**3 + 1673 + 146*q**3 - 831.\nAnswer: 263*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90 + 24 = 3*c. List the prime factors of c.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/19)\/c)**(-2\/11)\/(((c\/(c*c**(-3)))\/c)\/c**(2\/9)) assuming c is positive.\nAnswer: c**(-2966\/1881)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -17*z - 2. Let l be 40\/75*(z + 81\/84). Let f be 4\/14 + 4\/(-14). Which is greater: l or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 24\/20 + 66\/(-30). Which is the closest to 2? (a) 2\/13 (b) s (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/6 of a hour in minutes?\nAnswer: 70","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -7*b**2 + 40*b - 132. Let g(q) = -12*q - q + 41 - 7*q + 25 + 423*q**2 - 420*q**2. Let t(o) = 5*g(o) + 2*r(o). Differentiate t(f) with respect to f.\nAnswer: 2*f - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-5))**36 assuming j is positive.\nAnswer: j**(-144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(156) + 2*(1*sqrt(156) - sqrt(156)))*-5*6)\/((-5*(sqrt(96) - (sqrt(96)*-2 - sqrt(96))) - sqrt(96))\/(-2*sqrt(72))).\nAnswer: -60*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 6979 divided by 16\nAnswer: 6979\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9606.89 - 49.\nAnswer: 9557.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 688*s - 199. Let t be n(9). Calculate the greatest common factor of t and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16065 divided by 8.\nAnswer: 16065\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 9*p + 4. Let t(g) = -g - 1. Let w(h) = n(h) + 5*t(h). Let m be w(1). Find the second derivative of c + 9*c**3 + 3*c + 0*c**m wrt c.\nAnswer: 54*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 35333003?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 1381*k**3 - 4 - 1381*k**3 + 6*k**4 + k as m*k**4 + y*k**3 + w*k**2 + r*k + l and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 305977629\/2 less than 152988814?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 34 + 7?\nAnswer: 3b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 v when two letters picked without replacement from {x: 4, d: 1, p: 1, i: 7, a: 1, v: 4}?\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/(d**(-21\/4)*d))\/d*d)**(-6\/17)*(d**(-7\/6))**(-6))**(3\/11) assuming d is positive.\nAnswer: d**(525\/374)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is (-16)\/(-4)*(-3)\/(24\/(-1082)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 + 19. Suppose 0 = -430*l - 31 + 11780 - 139. What is the highest common divisor of l and d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**3 - 15*y**2 + 65*y - 66. Calculate n(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:59 AM and 5:24 AM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 7*w + 1. Let m(d) = -875*d**3 - 52*d - 7. Give 7*f(o) + m(o).\nAnswer: -875*o**3 - 3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1061017 and 4009.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11 and 1*61 + (-763)\/109?\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1456 + -1182. Let r = 278 - a. Factor 4\/5*o - 4\/5 + 3\/5*o**2 - 2\/5*o**3 - 1\/5*o**r.\nAnswer: -(o - 1)**2*(o + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the first derivative of 2*o**3\/3 - 3*o**2\/2 - 2*o + 158. Let q(f) = f**2 - 1. Determine -4*q(k) + x(k).\nAnswer: -2*k**2 - 3*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -172885, -172894, -172903, -172912, -172921?\n\"Answer: -9*y - 172876","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**3 - 474*x**2 - 2411*x + 7663. What is f(479)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 133 in 1\/159, 0.4, 174?\nAnswer: 174","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - (-23 + 36)) + 11?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15 + 23. Let c(m) = 42*m**4 - 15*m**2 + 8*m. Let a(t) = 14*t**4 - 5*t**2 + 3*t. Let o(l) = f*a(l) - 3*c(l). Find the third derivative of o(w) wrt w.\nAnswer: -336*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 3*q**2 + 5*q + 3. Suppose -2*y = -4*g + 170 + 60, 0 = g - 3*y - 60. Calculate the remainder when g is divided by c(-3).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5531375 divided by -3425?\nAnswer: 1615","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 134726561 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Is 4477062133 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1 and 25?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6416 at most as big as -10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**3 - 10*v**2 + 7*v + 22. Let u be q(9). Suppose -u*o - 28 + 28 = 0. Solve -6*d - 13 - 5 = o for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 52*c. Let s(a) = 3*a + 38. What is p(s(o))?\nAnswer: 156*o + 1976","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 + n - 5 + n - 3*n + 4*n + (0 - 1 + 0)*(-n - 4*n + 4*n) + 2*n - 2*n + 2*n + 0*n - n - n to j + h*n and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 3490 = -2*p, 2062 = 4*c - 3*p - 753. What is the hundreds digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((8\/10)\/(-2))\/(35*142\/(-372750))?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:22 PM and 8:07 PM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -7*s**3 + 83*s**2 + 121*s - 9. Let a(p) = -4*p**3 + 42*p**2 + 55*p - 4. What is -11*a(d) + 5*w(d)?\nAnswer: 9*d**3 - 47*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -21972.202 to the nearest one hundred.\nAnswer: -22000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -724, -1 in decreasing order.\nAnswer: -1, -2, -724","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 303129821 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a - 9. What is the remainder when 16 is divided by q(16)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -79 - -236\/3. Let w = -1 + 8. Suppose 4*c = w*c. Which is bigger: i or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is aa7980 (base 13) in base 4?\nAnswer: 33110112320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 22\/117, -40, -4\/9, 11, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 52518487?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 26*w**2. Let v(a) = -6*a. Calculate r(v(t)).\nAnswer: 936*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 169, 362, 555?\nAnswer: 748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -451 + -1275?\nAnswer: -1736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + (6 - 13) + 18.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1701 - -5041\/3. Let y be (-5)\/(-15) + 0 - 1\/3. Calculate the common denominator of (400\/(-72) - (2 - y)) + 4 and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4 + -3 + (-126)\/(-6). Let d = h - 17. Solve 3*w - d*w + 8 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/4 + 1253\/28. Suppose 5*s - 110 = -t. What are the prime factors of s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*w**2 + 2 + 2*w**4 + 11*w - 2*w**2 + 3*w - 12*w to the form m + o*w**2 + x*w**3 + t*w + c*w**4 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**6)\/u*u**(-5)*u**11*u**(7\/3)\/u assuming u is positive.\nAnswer: u**(4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 - 6. Let u be 3\/(4 + k) - 260. Let m = 603 + u. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -137.869 and 0.01812.\nAnswer: -137.85088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -34*u + 20104 + 2675 - 2209. Put -1, u, -4 in decreasing order.\nAnswer: u, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p + 39492 = 754. Let m = -2523 + p. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 2 a when four letters picked without replacement from {m: 2, a: 2, j: 3, z: 2, c: 2, q: 4}.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the second derivative of h**4\/12 - 18*h. Let r(y) = -17*y**2. What is b(r(a))?\nAnswer: 289*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 - 21 = 5*v + 3*g, -28 = 3*v - 4*g. Let l(m) = m**3 + 13*m**2 + 11*m - 8. Let s be l(v). Factor -12*n**2 - 16*n - 4*n**3 - 8 - 1\/2*n**s.\nAnswer: -(n + 2)**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 46898 and 13100?\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-1))\/(-4)*-2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -63895*a + 3322520. Give n(52).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -0*n - 4*d + 30, 0 = 4*n + 4*d - 76. Suppose -5*g + n = 2*z, g - 4*z = z + 10. Factor -1\/4*b**g + 0*b - 3\/4*b**4 - 3\/4*b**3 + 0 - 1\/4*b**2.\nAnswer: -b**2*(b + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -68, -153, -248, -347, -444?\n\"Answer: f**3 - 11*f**2 - 59*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3 + 18\/4)\/(0 + (-9)\/24). Let h(d) = -5*d - 25. What is h(c)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26063 (base 8) to base 12.\nAnswer: 666b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -5075810.\nAnswer: -5075805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*m**3 - 2*m**3 - 17*m**2 - 6*m - m + 5*m to the form l*m + o*m**3 + v*m**2 + z and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 240584?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1966837 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-16)\/12)\/(4\/(-42)). Let w be (7\/b)\/(2*-1). Which is smaller: 5 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27404390704 - 1.92.\nAnswer: -27404390705.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 5*f**3 - 9*f**2 + 7*f - 7. Let o(j) = -3*j**3 + 6*j**2 - 5*j + 5. Give 5*k(a) + 7*o(a).\nAnswer: 4*a**3 - 3*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(-2)*(-156)\/117?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 4*r - 1 - 5*r + 4 + 1. Let v be b(4). Let k = -3 - v. Sort 2, k, -4.\nAnswer: -4, k, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (-4 + 3 + 1 + 5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-6)\/9)\/((-12)\/234). Suppose -2*n - 1 = -11. Suppose -208 = -n*o + 3*o. Calculate the highest common factor of y and o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1514590428?\nAnswer: 2, 3, 13, 229, 42397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 163818115?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*l + 6. Find the third derivative of 5569*y**3 - 5569*y**l + 2*y + 292*y**6 + 115*y**2 wrt y.\nAnswer: 35040*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 4*n**2 + 2*n. Let z be c(2). Suppose 36 = 5*m + 4*u, 2*u - z = 2*m - 5*m. Suppose r + 3*t - 176 = -0*t, m*t = -r + 171. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -14963 and -15002 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2*(-2 + 3) + 0. Let s = 113\/8 - 893\/40. What is the common denominator of 404\/16*1\/l and s?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes before 12:33 PM?\nAnswer: 11:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l + 0*l + 8*l + (l - 3*l + 0*l)*(-1 - 1 + 3))*(1441 - 1441 - 139*l).\nAnswer: -417*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*h = -4*t - 36, -615*t + 619*t = -h - 8 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 29970 divided by -6\nAnswer: -4995","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/5734 and -17\/549?\nAnswer: 51606","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 33 + -28 + -10 + 1 + -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-1\/5)*d*d**(-3\/7)*d)\/((d*(d*d*d**(2\/3)*d)\/d)\/(d**(-8)\/d*d)))\/(d**10\/(d*(d\/((d**(-1\/2)*d*d)\/d))\/d))**8 assuming d is positive.\nAnswer: d**(-9061\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 33\/(-2) - ((-26)\/(-4) + -5). Find the common denominator of -119\/36 and ((-3)\/(-44))\/(c\/(-222)).\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-14)\/63 + 598\/18. Find the second derivative of -m*j**2 + 7*j**5 - 6*j - j + 33*j**2 wrt j.\nAnswer: 140*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 8121 and 8132 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -3*y - 27. Calculate the smallest common multiple of 64 and y.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 81 + -86. Let k be 6\/(x*(-3)\/10). Let l be k + (-4)\/(20\/15). Solve 0*i + 14 = d - 3*i, 0 = 4*d - i - l for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -22? (a) -3 (b) -4 (c) 2\/9 (d) -1 (e) 34\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the third derivative of 19*s**9\/126 - s**7\/105 - s**5\/20 - 39*s**3\/2 + 18*s**2. Find the third derivative of h(v) wrt v.\nAnswer: 9120*v**3 - 48*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l**(2\/21))**(1\/34))**(2\/39))**(1\/17))**(-49) assuming l is positive.\nAnswer: l**(-14\/33813)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 89 is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 2 n when four letters picked without replacement from {n: 2, u: 8}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express ((r + 2*r**2 - r)*(17 - 39 + 16) + r**2 - 2*r**2 - r**2)*(-1 + 4 + 0) in the form s*r + q + m*r**2 and give m.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4335*r**2 + 349*r**2 + 7083*r - 115 + 63 + 52 wrt r?\nAnswer: 9368","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkmmkkkmkkm. What is prob of picking 1 m and 3 k?\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 5, 1\/6, -9?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/259358 at most 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:18 PM and 5:26 PM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**3 + 3*b**2 + 12*b - 3. Give o(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.6 (b) 0.52 (c) 3 (d) 1 (e) 197\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -59 - -36. Let z = 43 + y. What is the remainder when 78 is divided by z?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-9) - 38\/9. Let k(d) = -4*d**2 - 5*d - 5. Let y(v) = -4 - 11*v + 15*v - 8*v - 3*v**2. Calculate o*k(t) + 5*y(t).\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -51 (b) -7\/5 (c) 172071\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20587 and 476.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11843210, 11843211, 11843212, 11843213?\nAnswer: 11843214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2\/26525 + 26531\/79575. Which is the second biggest value? (a) 5 (b) -3 (c) -112\/5 (d) l\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(784))\/sqrt(8).\nAnswer: 14*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -3*j - 30, -2*w + 3*j - 5*j = 0. Let f be w + ((-5)\/1 - 28\/(-108)). Which is smaller: 0 or f?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3 - 4)\/(4\/(-92)). Solve 0*z + 9 = -u - z, -2*u - 3*z - p = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.82224 rounded to zero dps?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-2))\/(61\/915*3\/(-4))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -282*o**5 - 115*o - 280*o**5 - 431*o - 170*o**5 wrt o.\nAnswer: -14640*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 x, and 2 l when four letters picked without replacement from uloqxxsq.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -5380, -10762, -16144, -21526?\n\"Answer: -5382*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/16 of a hour in seconds?\nAnswer: 2025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 11645 + 446?\nAnswer: 12424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4624 + -4626. Which is the closest to 0.3? (a) s (b) -0.3 (c) -0.09 (d) 1\/31\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/144468 and -4\/60195?\nAnswer: 722340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 90669 to the power of 1\/2, to the nearest integer?\nAnswer: 301","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -345 - -345.00043. Round f to four dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -1609*y + 7757. Let p be m(133). What is p rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -14*f**4 - 24*f**3 + 206*f**2 + 576*f + 360 = 0.\nAnswer: -3, -2, -1, 30\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1759316 to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) 2.36 (c) 189\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -3*a - 36, -3*a - 6 + 0 = 0. Let n be ((-4)\/(-20))\/((-3)\/o). Let y = -3\/32 - -19\/32. Is y at most n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - (-3 + 3 + -6).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1022?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -14? (a) 1 (b) 0.2 (c) 26\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.3*76.\nAnswer: -98.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(68) + (sqrt(68) + 1 + 3 + sqrt(68) - sqrt(68)).\nAnswer: 4 + 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -152 + 149 - (-1 + 1) - (-8 + 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the third derivative of l**9\/84 + 2*l**5\/15 + 21*l**2. What is the third derivative of g(c) wrt c?\nAnswer: 720*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*a**3 + 31280*a**2 - 32529105*a - 32560380.\nAnswer: 5*(a - 909)*(a + 1)*(a + 7164)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the second derivative of i**7\/147 + 3*i**6\/5 - 32*i**5\/35 + 5*i - 237. Determine y so that j(y) = 0.\nAnswer: -64, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -44660 and -0.03785.\nAnswer: 1690.381","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - -16 - (43 - (20 + 6)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36341844 divided by 14882.\nAnswer: 2442","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.11 - -1.11. Let i = 1 - -1. What is the closest to b in -3, -5, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-156)\/(-20) - 4 - 12\/15. Let p be 16\/24 - 11\/i. List the prime factors of -1 + (-122)\/p + 9\/27.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.02957 * 5.\nAnswer: -0.14785","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47374.\nAnswer: 2, 23687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -a + 8*a + 77 for a.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 0.7236453mm?\nAnswer: 0.0007236453","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**2 + w + 2. Let c be r(-2). Suppose 0*v + c*v + 16 = 0. Let o = 14 + v. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.4 * -17\nAnswer: 40.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -2*t. Let v(k) = 2*k**2 - 7. Give v(z(o)).\nAnswer: 8*o**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -94*l - 2*h + 1 = -87*l, -2*l = -2*h - 8 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1361151823 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/(-9) - 21\/18. Let t = 0.2 - 0.1. Put t, 4, i in descending order.\nAnswer: 4, t, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p = 6*i - 0*p - 28, -p = 74*i - 73*i - 6 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 48\/30*(-1 - -71). Let w be (-2)\/9 + n\/18. Suppose -w*u + 2*u = -16. Solve 4 = 4*x - u for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1266454551 + -5?\nAnswer: 1266454543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times -41135?\nAnswer: -205675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x + 9*x - 60 = 0. Suppose c + b = 665, -1975 = -x*c + c + 2*b. Round c to the nearest one hundred.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 115024214?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the first derivative of -2 + 0*u**2 + 3\/7*u**7 + 4\/3*u**3 + 0*u**6 + 0*u**4 + 0*u**5 + 0*u. Find the third derivative of p(j) wrt j.\nAnswer: 360*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 98692*i**2 + 2*i + 5887325.\nAnswer: 197384*i + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - -5 - (1 - -4 - 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2016)\/160 + 13)\/((17420\/50)\/(-13))?\nAnswer: -1\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/250 and 11\/500.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*y - 188 = -2*j + 32*y, -12*j + 228 = 5*y for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 225 is divided by 119?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 3*a - 0*h - 3, 3 = 3*a + 4*h. Suppose -2*g = -3*c, -13 = 3*g - c - 6. What is the tens digit of 12\/(a*g)*(-180)\/8?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -14648, -58584, -131810, -234326, -366132, -527228?\n\"Answer: -14645*a**2 - a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3798*v**6 + v**3 + v**2 + 16*v - 7?\nAnswer: 455760*v**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5*(-2691)\/(-195)*((-2)\/(-3))\/2?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 7 + 162088?\nAnswer: 162106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15685 is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 45363*x**3 + 7*x**2 - 45363*x**3 - 85*x**4 + (-4*x + 0*x + 3*x)*(2*x**3 - x**2 + x**2) in the form h*x + o + k*x**2 + f*x**3 + c*x**4 and give c.\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -2*n**2 - 15*n - 3. Is p(-6) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.78 - 1.06. Let x = 578 - 578.28. Let j = z - x. Is 5\/2 != j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**2\/13 + 6284702*c\/13.\nAnswer: -2*c*(c - 3142351)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2*(-27)\/63)\/(45\/(-21))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (57\/(-6))\/((-3)\/6). Let h = 51 - y. Is 32 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12106545 and 80.\nAnswer: 193704720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 140\/8*4\/6. Let y = -25\/2 + t. What is the third smallest value in -4, y, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 680*c = 30*c - 169*c + 49140 for c.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 3, h: 11}. Give prob of sequence iih.\nAnswer: 11\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**3 + 11*i**2 - 9*i + 3. What is n(-12)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -4033 divided by 2278\nAnswer: -4033\/2278","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -3*m**2 + 293*m - 4641. Give v(20).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the first derivative of 0*j - 2 - 1\/2*j**2. What is the units digit of n(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*b**3 + 8*b**3 + 3 - 5*b**2 + 2*b**2 to the form g*b**3 + o*b + x + t*b**2 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 153\/7 - 2629\/119. Are 0 and a non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 8094407?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -17392 rounded to the nearest 1000?\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -117\/580 and 67\/9454.\nAnswer: 94540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 101241 (base 6) to base 8\nAnswer: 17631","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -7275*f + 407376. What is c(56)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 240 = 2*o - 190. What is the second derivative of -164*x**2 - 46*x**2 + o*x - 308*x wrt x?\nAnswer: -420","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (5 + sqrt(1216)*-2 + -3)**2 + -3)*-2 + 1.\nAnswer: -9733 + 128*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -264595306*n*p**3 + 99392*p**3 - 219*p**2 wrt n.\nAnswer: -264595306*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (150\/225)\/(1\/(-3)). Which is the smallest value? (a) k (b) -3 (c) -5 (d) 0.2 (e) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 27 and -0.1?\nAnswer: -2.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put together -9079 and -12218.\nAnswer: -21297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 12234808, 24469579, 36704350, 48939121?\n\"Answer: 12234771*j + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(-10)*(-5)\/2. Let n be f\/(1 + 0) + 4. Let q(a) = 16*a - 24. Let d(l) = 3*l - 5. Let j(x) = 11*d(x) - 2*q(x). Give j(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:47 PM and 10:45 PM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 139752 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the third derivative of 17*o**4\/24 - o**3\/6 - 2*o**2. Find the first derivative of k(a) wrt a.\nAnswer: 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 2*k**3 + 70*k**2 - 195*k - 2422. Calculate z(-11).\nAnswer: 5531","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4 + 2\/3 + -4)*309. Suppose -2*y = -4, -12*y = -3*o - 7*y + d. Is o a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -15, -0.1, 0.1, -1, -0.2, -5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 123 = -4*c, c - 420*z + 24 = -422*z for c.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 45.48373 centuries to millennia.\nAnswer: 4.548373","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**4 + 222*i**3 + 6159*i**2 + 75924*i + 350892.\nAnswer: 3*(i + 18)**2*(i + 19)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5.687 + -0.687. What is the fourth smallest value in 2\/51, 0.3, x, -4\/7, -4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 1202*b - 246. Let g(i) = -240*i + 49. Let k be 3*1\/3 + 1. Let u(a) = k*w(a) + 11*g(a). What is the derivative of u(f) wrt f?\nAnswer: -236","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**2 - 13*s + 14. Let d be g(-11). Suppose 2*q = d + 2. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.1 - -0.1. Let y be 1 - 2*(-10)\/4. Let m = 9 - y. Which is the nearest to k? (a) m (b) -1\/7 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (22\/(-11))\/(10\/5)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 53*f + 48*f - 33*f)*(54 + 43 + 21) as b + w*f and give w.\nAnswer: -4484","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 18, 0.063, -2\/45?\nAnswer: 0.063","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**2 + 8*j - 15. Let t be m(6). Let k(h) = 4*h**3 + h**2 - 2*h - 5. Let n be k(t). Let d = -82 - n. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-17 - (-28 - 16)) + -10 + -51\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nynnnyy. What is prob of picking 3 n?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1159.4856 months?\nAnswer: 9.66238","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 26 + -20. Solve -2*g - 20 = -m*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**11*l**(-16)*l**(-2\/67)*l**(-4\/5)\/l assuming l is positive.\nAnswer: l**(-2288\/335)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0843 to two dps.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1001043 - -42302?\nAnswer: -403241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 584?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/23 or -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -113 + 116. Solve -i*h = -m - 2*m - 24, h + 4 = -2*m for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/((d**(-31)*d)\/d)*d**(1\/35))**37)**(5\/3) assuming d is positive.\nAnswer: d**(41477\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 569 (base 11) to base 13.\nAnswer: 404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2384 and 18?\nAnswer: 21456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 453 is divided by 29.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8004?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 121001 (base 3) to base 16\nAnswer: 1b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3398 and 436814?\nAnswer: 742146986","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -111 = -1427*b - 1433*b + 2857*b + 24*i, b + 4*i = 1 for b.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10179?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 - 7. Suppose 74 = 2*j + n, 0*j - 109 = -v*j - n. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, y: 1, b: 1, c: 2}. What is prob of sequence by?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -47, -79, -111, -143, -175?\n\"Answer: -32*q - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14560641?\nAnswer: 3, 67, 2683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 3 - 3*v**2 - 3 - 7*v**2.\nAnswer: -10*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 94836595 to the power of 1\/3, to the nearest integer?\nAnswer: 456","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 - (-46)\/(-18) - -3. Let q be ((-8)\/14)\/(104 - 102). What is the nearest to 0 in x, q, 0.3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 359446 and 3127?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 102 - -1307122?\nAnswer: 1307224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**2 + 18446*k - 55324. Determine x(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 - -554254?\nAnswer: 554251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.8 * 531\nAnswer: 424.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4769?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - k = -10. Suppose y = -w - k, w = 5*y - y + 10. Let f(p) be the third derivative of -p**5\/60 - 7*p**4\/24 - 20*p**2 + 3*p. Determine f(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -6*w + 140. Calculate d(23).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 59 (base 10) to base 4\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.04 + 1.96. Let o = -19.6 + 22. Let p = k - o. Sort 5, p, -4\/5.\nAnswer: -4\/5, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -768867*k**5 + 6264*k + 3 wrt k?\nAnswer: -15377340*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 + -7. Let h be ((-18)\/15)\/(2\/i). Suppose 0 = -3*g + 51 + h. Does 9 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*h**3 + 0*h**4 + 27*h - 56*h - h**2 - 2*h**4 + 3*h**4 - 4 + 18*h in the form v*h**3 + w + o*h**2 + n*h**4 + t*h and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 7.95508mm?\nAnswer: 0.00795508","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -243322, -243318, -243312, -243304?\n\"Answer: y**2 + y - 243324","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*q - 313 + 959 = 0 for q.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.2 and 14875.\nAnswer: 14874.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80 is divided by 30.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -31304 - -121963. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 3*v**2 + 33*v - 3. Let y(j) = -3*j**2 - 22*j + 2. Let m(z) = 2*u(z) + 3*y(z). Let g(f) = -357*f**2. Determine m(g(w)).\nAnswer: -382347*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 6559, 26208, 58961, 104824, 163803, 235904, 321133, 419496?\n\"Answer: z**3 + 6546*z**2 + 4*z + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 35642, 35745, 35850, 35957?\nAnswer: 36066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*m**3 + 5*m**3 + 4*m**3 + (-1 + 1 - m**2)*(-m - m + 0*m) - 3*m**3 + 4*m**3 + m**3 + m**3 + m**3 - m**3 + (15 - 15 - 9*m**2)*(-3*m + 4*m + 0*m).\nAnswer: 2*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2154 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -c**3\/3 + 1371351*c**2 + 52111699*c + 1485186851\/3 = 0. Calculate c.\nAnswer: -19, 4114091","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -10*2\/10*425\/(-340)\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, -1\/4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 207 = 187 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 881, -9, 0, -1, -3 in ascending order.\nAnswer: -9, -3, -1, 0, 881","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-660)*283\/(7358\/260).\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -13*g**2 + 2*g - 2*g + 2*g**2 + 0*g**2 - 3*g**2 + (g - 3*g + g)*(-2*g - 2 + 2) + (5 - g**2 - 5)*(-1 + 2 - 3) + 699*g**2 + 276*g**2 - 600*g**2.\nAnswer: 365*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 40249 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the third derivative of s**5\/150 + s**4\/12 + 4*s**3\/15 + 4*s**2. Factor i(u).\nAnswer: 2*(u + 1)*(u + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**3 - 5*i**2 + 32. What is z(-5)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*y = 12*y - 345. Suppose 0 = -b - 3*i + 109, b - 2*i = i + y. Is b a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.156 + 73.206. Round f to the nearest 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 48\/28 + (-2)\/(-7). Suppose 2*g - 3*l = 44, 3*g - l - l = 76. Suppose -4*x + 2*w = 20, -g = 5*x - 0*x - 4*w. Put r, x, 4 in descending order.\nAnswer: 4, r, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qhqhzz. Give prob of picking 2 z.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + b - 80 = 18, -4*a + 392 = -5*b. Are a and 101 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 301387131.\nAnswer: 3, 101, 233, 1423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0*(-2 - (-21)\/9). Suppose l = -5*w + w + 12. Suppose -229 = -w*y - 5*c - 46, 0 = 4*c - 12. What is y rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*a**2 + 4*a**2 - 11*a**2.\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14 - 6. Let c be y\/(-44) - 4\/(-22). Suppose 2 = -8*d + 2. Is d bigger than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*i**3 + 2*i**3 + 0*i**3 + 2*i**3.\nAnswer: 11*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*((-90)\/27)\/5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 - 3)*((4 - 2 - 4 + (4 - 3 + 4)*(-1 + 0 + 0))*(2 - 2 + 3*j) - 5*j + 2*j + 7*j).\nAnswer: 17*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 89277?\nAnswer: 3, 29759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 103 = -2*y, 4*b - b = -4*y + 231. Find the second derivative of -5*u + 1 - 35*u**2 + y*u**2 - 1 wrt u.\nAnswer: 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the second derivative of l**5\/140 + 19*l**4\/84 + 37*l**3\/21 + 4*l**2 + 39*l + 8. Factor m(k).\nAnswer: (k + 1)*(k + 4)*(k + 14)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 20 (b) 1 (c) -2 (d) 0.3 (e) -2\/241 (f) -3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -194*o - 3863. Give m(-20).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -3*w + 15, 2*r - 3*r = 2*w - 10. Suppose 5*k - 42 + 3 = -4*y, 0 = k - 3. Calculate the least common multiple of y and w\/1 - (-4 + 5).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 60*c**2 + 661*c + 14. Determine l(-11).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 2*o**2 + 9*o + 13. Does 12 divide r(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 285903151.54 - 2.\nAnswer: 285903149.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -97 - 11*x**2 + 0*x**2 + 3*x**2 - 19*x - 16*x. Let u(s) = 5*s**2 + 24*s + 65. Let n(a) = -5*t(a) - 7*u(a). What is the derivative of n(b) wrt b?\nAnswer: 10*b + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that u**4 - 924*u**3 - 56599*u**2 - 350574*u = 0.\nAnswer: -51, -7, 0, 982","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pmtmtptpppnpnpmppp. What is prob of sequence ttpp?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**2 - 2*f - 46. Let u be d(0). Let x = 52 + u. Let t be ((-4)\/(-20) - 18\/(-10)) + x. Which is bigger: t or 36\/5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 45*f**2 - 66*f + 32. Is w(-19) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**3 - 3*a**2 - 6*a + 6. Let m be w(5). Solve -9*h - 32*h**3 - 15*h**2 - 71*h + 19*h**2 + 80*h**2 + m + 2*h**4 = 0 for h.\nAnswer: 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 102 = -2*w + 4*a, 0 = -w + a + 45. Let t = -124\/3 + w. Let x = 278\/1771 - -4\/161. What is the closest to t in -1, 2\/5, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14829 is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-576)\/(-30))\/8*(84\/1120)\/((-9)\/(-15))\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11016 and 4845?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) + 2 - sqrt(68))*-2 - -1*(sqrt(17) + -1)*2.\nAnswer: -6 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 67308906 to the power of 1\/2, to the nearest integer?\nAnswer: 8204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - z - 21 = -j, 3*j = 3*z + 54. Suppose 3*r + j = -4*d, r - 3*d - 12 = 4*r. Let o = r + 6. What is the smallest common multiple of 10 and o?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20 + 367*m + 12 + 8 to the form k + c*m and give c.\nAnswer: 367","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 207230270 to the nearest integer?\nAnswer: 592","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 1 - (6 - 7).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g - 2*n + 14 = 0, -5*n + 2 = -13 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and 1569.43.\nAnswer: -156.943","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 2910*h - 49. List the prime factors of t(1).\nAnswer: 2861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 2 + (-11)\/(22\/(-300))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -437.0375 - -438. Round m to 1 decimal place.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/(-3))\/((-1)\/(-6)). Suppose -56*p = -49*p - 35. Let a(y) = -2*y + 1. Let k(b) = -2*b + 1. Let c(s) = p*a(s) - 6*k(s). Give c(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7*(-12)\/(-98)*917\/393?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -103 = -8*h + 2609. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -2*f - 49716, 2*v + 3 = -1. Let s = 250185 - 149330. Let h = f + s. Round h to the nearest 10000.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7211\/72 - -807\/8. Let h = 5432 - 3004. Let y = h + -14533\/6. Find the common denominator of c and y.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*m**3 + 5*m**2 - 39*m**3 - 42*m**3 + 64*m**3.\nAnswer: -2*m**3 + 5*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 + 9. Solve 0 = -4*q - n - t, 9*n = -5*q + 14*n - 20 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/3 < 3139?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 7 - (20 - 11).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*-0.02.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - n - 4*n = 0, 3*n = j - 12. Let o be 15*(-350)\/j*8. Round o to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -222011002000012 (base 3) to base 16.\nAnswer: -d40fbd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.11, -2\/11, -0.9, 4 in increasing order.\nAnswer: -0.9, -2\/11, 0.11, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 955 = -13. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 7 + (-21 - -17) + -17 + -19\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.009 + -0.009. Let z = -59 + 529\/9. What is the third smallest value in l, z, -0.4, 0.1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -2859*d**3 + 4*d**2 - 4*d + 2. Let z(w) = 4983240*w**3 - 6974*w**2 + 6974*w - 3487. Calculate 3487*b(t) + 2*z(t).\nAnswer: -2853*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f - 15 + 6 = 3*k, 0 = -2*f - 6 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -6*q + 12. Suppose 2*g - 4*g + 1 = n, g = -q*n + 18. What is the units digit of (-3)\/(n\/((-200)\/6))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -62*b**3\/5 + 652*b**2\/5 - 878*b\/5 + 288\/5 = 0. What is b?\nAnswer: 16\/31, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -7*w - 82. Let h be g(-13). Suppose 0 = 4*y - y - 66. Suppose -n + l - h = -3*n, -3*l = 5*n - y. Solve 3*j - 1 = -4*d + 6, 0 = 5*d - n*j + 35 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -288*j**2 - 1034*j**2 + 1949*j**2.\nAnswer: 627*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 0*a = -2*a, 0 = -2*p + 5*a - 11 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((48\/(-105))\/((-4)\/(-10)))\/(-2)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1592\/1660854)\/((-4)\/(-78)).\nAnswer: 2\/107","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/637566 and 127\/5738094.\nAnswer: 5738094","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 27*s**2. Suppose 3*n - 8 = -n. Let d(u) = -5*u**n - 20*u**2 + 21*u**2. Calculate p(d(t)).\nAnswer: 432*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -945? (a) 3 (b) 0.6 (c) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2107 by -43.\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -638, -600, -548, -482?\nAnswer: -402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -563, -1114, -1677, -2258, -2863, -3498, -4169?\n\"Answer: -v**3 - 544*v - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -57.018 + 4.77. Let p = w + 50.908244. Let k = p + 1.34. Round k to five dps.\nAnswer: 0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 + 30 + -56 + 20 - (-1 - 62).\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**2 + 13*a - 14. Let z be m(-14). Solve 5 = -2*d + h + 14, z = -d - 3*h + 8 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 28 - 32. Let q = 0.15 - -3.45. Let p = o + q. What is the second smallest value in 2, -2, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 21*c**3*g - 30*c**2*g**2 - 4*c*g**2 - c - 20*g**2 wrt c.\nAnswer: 126*c*g - 60*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1124, -2248, -3372?\n\"Answer: -1124*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - a - 2)*(0 + 3 - 1) + 11145*a - 14002*a + 1 - 6 + 5.\nAnswer: -2859*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a millimeter in micrometers?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 + 1 + (-3)\/4. Let a = -8.6 - -13.6. What is the biggest value in -0.4, a, y?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 89356017 is divided by 7446332.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11 + 19\/2. Let b = 468\/25 + -911\/50. What is the closest to b in r, -2\/3, 2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 31546120?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.1 and 1133149650188.\nAnswer: 1133149650188.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 4*y**3 + 2*y**2 + 2*y - 7. Suppose -14 = -3*m - g, -3*m - 19 = -m - 5*g. List the prime factors of d(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.09878536 - 599.\nAnswer: -598.90121464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14035396*m**2 - 1490137*m?\nAnswer: 28070792","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42556 is divided by 559?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3540721 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -21*c - 44. Is x(-7) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 208819 and 32126.\nAnswer: 417638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 624623 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22568 divided by -2.\nAnswer: 11284","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddeddddeddd. What is prob of picking 1 e and 2 d?\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 19*m**5 + 73*m**4 - 69*m**3 - 181*m**2 + 182*m - 24 = 0.\nAnswer: -4, -2, 3\/19, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -57270 + 2748841\/48. What is the common denominator of 5 and b?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 252 and 5019210?\nAnswer: 10038420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 18*i**2 - i + 1. Let c be z(1). Suppose -u + c = -19. Is 17 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -3*u**2 + 47*u - 31. Let p be z(15). Which is smaller: 5\/878 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - -2 - (2 - 4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10034, 20061, 30076, 40079, 50070, 60049?\nAnswer: 70016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -5*r - 1. Suppose 21 = -4*o + 3*s, -3*o - 5*s = 2*o + 35. Let m be o\/9*(-3)\/1. Let h be m - 0 - 0\/(-1). Calculate t(h).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1 + sqrt(720) - sqrt(80)) + 5)**2 + 3)*-1.\nAnswer: -359 - 96*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (8\/(-12))\/(4\/(-24)). What is the least common multiple of 8 and 14 + 4 + (-24)\/j?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0*(-3)\/6 - -3 - -1. Suppose -z - 182 = n*l, 2*l - l - z = -48. Calculate the common denominator of -55\/21 and (-23)\/l - (-1 - 134\/30).\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**29\/u**40*(u**(-21))**(2\/13) assuming u is positive.\nAnswer: u**(-185\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (-58)\/(8990\/571671)*(-26 + 1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*((-1)\/36)\/((-793)\/122)?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19256 divided by -4814.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04619 less than -0.5?\nAnswer: -0.54619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**9)**(-11)*(m\/(m\/((m**(-26)\/m)\/m)))\/m**(-2\/49) assuming m is positive.\nAnswer: m**(-6221\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -403634 less than or equal to -403580?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71497197?\nAnswer: 3, 7944133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2\/9 of a day?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**2 - j - 1. Suppose 3*i = i + 6. Let z(v) = -v + 0*v - 7*v + 1 + 2*v**i + 9*v + v**2. Calculate -r(k) - z(k).\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ljj when three letters picked without replacement from jjgljll?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -326684 divided by -326684?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.0050453758 + 186.0050268758. Let b = u + -186. What is b rounded to 6 decimal places?\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 24201?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 111\/20 and 109\/21940.\nAnswer: 21940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1.7*0.05187\nAnswer: 0.088179","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, g: 1, f: 5, t: 4, m: 3}. Give prob of picking 1 g and 1 q.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 2*l**2 - l + 6. Let d(c) = 5. Let y(n) = -9. Let o(f) = 7*d(f) + 4*y(f). Let t(z) = h(z) + 6*o(z). What are the prime factors of t(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6663 (base 9) to base 12.\nAnswer: -2a19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 - -18. Suppose -2*r - 2*i - 2*i + c = 0, -2*i = 3*r - 47. Is 5 a factor of (20\/3)\/(r\/51)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -72988 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the first derivative of -5 - 2*i + i**2 + 4\/3*i**3 - 1\/4*i**4. What are the prime factors of f(4)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.09+2045427\nAnswer: 2045427.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11425 is divided by 266.\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, t: 1, e: 1, s: 1, y: 1}. Give prob of picking 1 z, 1 t, and 1 y.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ejxed. Give prob of picking 2 e.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/11 in 1\/17, -1260\/19, 3, -1\/2?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 10. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 4 + 3*d + d - 3*d. Let k(m) = -2*m - 5. What is -3*h(n) - 2*k(n)?\nAnswer: n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10230 and 961.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1724432687 and 173.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -443512 - -13305319\/30. Calculate the common denominator of (2\/(-72))\/((-1)\/(-214)) and b.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 151952 and 464.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10000 - -10010?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 + -4. Let u be -1 + -1 + v + -1. Suppose -p + 3 = u, w + p + 7 = 6*w. Solve -6 = q + w*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 - 2. Suppose -20 = -p*q - 2*q. Let g be 9\/(-27) - 14\/(-6). Solve q*t = 0, -3 + g = i - t for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the first derivative of -f**4\/6 - 9*f + 9. Let r(b) be the first derivative of h(b). Let x(k) = 5*k**2. Determine x(r(v)).\nAnswer: 20*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 2*r + 5. Suppose -5*v + v + 5*x = -45, 0 = 3*v + 3*x. Let d(w) = 2*w + 4. Determine v*d(g) - 4*q(g).\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 4, a: 7}. What is prob of sequence dad?\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -4*f**3 - f**2 + f + 1. Let q be -6 - (1\/(-1) + -3). What is the units digit of y(q)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7507 not equal to 7414?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-132)\/(-39))\/(395\/(-5135))\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -16186466*f**2 - 13361022*f.\nAnswer: -32372932","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**3 - 4. Let y be j(0). Let z = y + 7. Suppose z*b - 8 = b. Calculate the highest common factor of 28 and b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 28 and 224.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -268 - -95491?\nAnswer: 95223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/138, -3, 0.6, -1491, 5.\nAnswer: -1491, -3, -1\/138, 0.6, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81122569 is divided by 481?\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -7*3\/(-21) - (-5)\/(-4). Let d be 1 - 0 - (-3)\/(-4). Which is the closest to v? (a) -5 (b) d (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-72)\/14*245\/(-105)*1\/(-10). Let a = 1.6 + -6.6. What is the fourth smallest value in -0.5, a, 2, j?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h - 16 + 28. Solve h*a + 6 = -3 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -2*g. Let r be 4\/6 - (-39)\/(-45). Let z = -21182.3 + 21182. What is the third smallest value in r, z, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -5, -61, -50, 22 in descending order.\nAnswer: 22, -1, -5, -50, -61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1786 + -1740. What is the highest common divisor of 3358 and r?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 21 = 315. Suppose 0 = -5*u - 10, 4*m + 4*u = 2*m + r. Let p = m - 117. What is the tens digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1248 - -2088. Is 5 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z + 1. Let u(g) = 35*g - 25. Let h(p) = u(p) + 25*x(p). Let d(s) be the first derivative of -5*s**3\/3 + 134. Calculate d(h(b)).\nAnswer: -500*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2288, -9145, -20562, -36539?\nAnswer: -57076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 31563709 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*d + 4 - 280 = 0. Suppose d = -y - 14. Do 0.1 and y have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.7638 to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 - 58) + -13 - (4 - (4 + (-4 - -5))).\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 42234, 42356, 42490, 42636, 42794, 42964?\n\"Answer: 6*f**2 + 104*f + 42124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -13181 * -0.13861.\nAnswer: 1827.01841","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 26 and 28834.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**2 + 11*v + 18. Let j be p(-10). Let r = -36 + 35. Let t be 1 + r - 18\/63. What is the third biggest value in t, 6\/7, j?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) -2\/17 (c) 0.4 (d) 560.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 74.64924 milliseconds?\nAnswer: 74649240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.7 - -15.7. Let q = 25 - o. Let w = -10.1 + q. Does 1 = w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 174 is divided by 43?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 63 = -3*g, 0 = -4*h + h - 4*g - 35. Let y = h + 21. Solve y*f + 35 = 3*r, 2*f + 3*f + 10 = -3*r for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/20 of a gram?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1079144 = 29*f + 1078361 for f.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1702 (base 9) to base 14.\nAnswer: -68a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 18675*d - 81. What is the units digit of c(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67418*y**2 - 30*y - 31*y + 60*y.\nAnswer: -67418*y**2 - y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 3*x + 51 = 0, 3*k = -2*k + 3*x + 57. What is the remainder when 22 is divided by k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 3*o - 5. Let u(a) = -a. Let i(h) = -l(h) + u(h). Suppose -8*t + 6 = -10. Let n(s) = 21*s - 26. Calculate t*n(q) + 11*i(q).\nAnswer: -2*q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 5*x**3 + 47*x**2 + 33*x - 36. Determine g(-9).\nAnswer: -171","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 - 7. Suppose -3*k = 5*s + 4, -2*k - 4*s + c - 6 = 0. Solve -h = -2*q - 3*q + 20, 0 = -k*q + 10 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 255884 and 11713.\nAnswer: 901","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.37 + -0.47. What is the biggest value in 0.5, 4, d?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2902 and -5?\nAnswer: 14510","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -48 + 8. Let j = m + 115. Calculate the remainder when j is divided by (0 + 1)\/((-3)\/(-57)).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 248 and 5761009?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -201*u + 148*u + 400 = -93*u for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eouo when four letters picked without replacement from bbbubbeoo.\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10449, 41431, 93069, 165363, 258313?\nAnswer: 371919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c**3 - 36242*c**2 - 82174144*c - 369050112 = 0 for c.\nAnswer: -4528, -9\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -29*z**3 - 5733*z - z**3 + 5861*z wrt z?\nAnswer: -180*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 2*d - 3. Let a be o(19). What is the greatest common factor of a and 280?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 52 - 38. Suppose 0 = 5*v + p - 144. Let t be 4\/6*195\/v. Let r(x) = -x**3 + 5*x**2 - 3*x + 4. Determine r(t).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -156.097197 take away -0.2?\nAnswer: -155.897197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ullllllllllulllllllu. Give prob of sequence ll.\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2881, -5749, -8617?\n\"Answer: -2868*y - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 14*h**2 - 5*h - 27. Let z = 364 - 357. Is 39 a factor of a(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c = -b, 4*b - 34 - 59 = 11*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-57)\/(-95)*1*4\/12?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 747 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 17*j**2 + j - 2*j + 17*j**2 - 5*j**2. Let p be i(-1). Let s = p - 7. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o + 14. Let k be x(-9). Suppose r - q - 60 = 0, 2*r - 147 = k*q - 18. What is the greatest common divisor of r and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -213, -6, 201, 408, 615?\nAnswer: 822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**2 + 3745*t + 7486.\nAnswer: (t + 2)*(t + 3743)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -1174 greater than 16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*f - 3840 = -760. What is the first derivative of -f - m**2 - 24*m + 111 + 113*m + 119 wrt m?\nAnswer: -2*m + 89","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ntnn when four letters picked without replacement from tnnntnn?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002662 to 5 dps.\nAnswer: -0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34447 = 5*p - 57243. Suppose 0 = -4*t + 3*t - p. Let i = -11662 + t. Round i to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 + 143410011?\nAnswer: 143410012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f + 3*f - 10 = 0. Solve 2*m + f + 9 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 40 and 1335.\nAnswer: 10680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 82 a factor of 86585?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14591 is divided by 14582?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 - 2. Let b(p) = 2*p**2 + 11*p - 66. Let n be b(-9). Do n and l have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -416*y + 65. Let z(b) = -13*b + 2. Let h(n) = 2*a(n) - 65*z(n). Let t(x) = -4*x + 0*x + 6*x + 0*x. Give t(h(i)).\nAnswer: 26*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4476, -3906, -2964, -1656, 12, 2034, 4404?\nAnswer: 7116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v + 2*v = -3*q - 7, -396*v + 121*q - 120*q + 3173 = 0 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5537 - 3364. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.017 * 359970.5\nAnswer: 6119.4985","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -q**3\/7 + 102173*q**2\/7 + 204374*q = 0. Calculate q.\nAnswer: -14, 0, 102187","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - 3*v**4 - 4 + (4 - 5 - 4)*(3*v**3 - 3*v**3 - 6*v**4) + (v**2 - v**2 - 3*v**3)*(0 + 0 - v).\nAnswer: 30*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 169 - 4 = -71*n + 23 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -181\/150 and -119\/7940?\nAnswer: 119100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 41, 342, 1123, 2618, 5061?\nAnswer: 8686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 65497222 and 23947?\nAnswer: 2177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/20*6*153\/17\nAnswer: -27\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 17854 = 4*p - 112552, 3*p = i - 47324. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 20 + 24 = 0, 2226 = -5*d - 2*k. Let i = d + 446. Solve i = 4*a - 0*a - 20 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 153173 to the power of 1\/3, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5729.41923 + -227.28.\nAnswer: 5502.13923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 0*l + 24 = 0. Let w be (10\/6)\/5*l. Suppose -w*p + 159 + 63 = 0. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) - (sqrt(5) - sqrt(560)\/sqrt(7)))**2 - (sqrt(200)\/sqrt(4))\/sqrt(10).\nAnswer: -sqrt(5) + 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1552771, 3105525, 4658279?\n\"Answer: 1552754*k + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54730463.\nAnswer: 17, 257, 12527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/51 (b) -0.1 (c) -5 (d) -0.2 (e) -55\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 take away -84785.85?\nAnswer: 84782.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.2, 4, -1, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-735)\/(-10))\/(1\/2). Suppose v = -2*v + h. Suppose -v = -s - 14. Calculate the remainder when s is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/3, 0.2, -0.03, -101?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-14)\/(-28))\/((-1)\/4). Let k(g) = -2*g**3 + 2*g**2 + g + 2. Let h be k(y). Suppose n + 3*n - h = 0. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = 5*o - 5, -10 = 4*o - 3*o + 3*q. Let j be ((-50)\/(-75))\/(o\/(-3)). Let b = 41 + -45. Which is smaller: b or j?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and 0.124.\nAnswer: -0.062","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -8 - -4 - (1 + -1). Let x = 155 - 2947\/19. Put q, x, -2\/9 in descending order.\nAnswer: x, -2\/9, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4552 and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*c - 148 = -3*c. Suppose -a - c*v - 1368 = -5*a, 3*a = 4*v + 1026. What are the prime factors of a?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + 4454 = 4*p, -2*p + 2257 = 29*z - 32*z. What is the highest common factor of 1239 and p?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -12 + -5055?\nAnswer: -5111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 + -6.97. Let s = j - 0.43. Let t = -5 + 8. What is the nearest to -2\/5 in t, s, -2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 - -2)\/1 + -18. Let v = 40 + b. Let c = -17 + v. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -35*l + 11. Let b be o(-2). Calculate the highest common divisor of b and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, n: 12}. Give prob of picking 2 n.\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/(108\/(-8))*3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -22468 + 22468.1. Which is the second smallest value? (a) -184 (b) i (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 3*g**3 - 3*g**2. Suppose -4*p = 2*o + 26, 6 = 2*o - 3*p - 3. Let z(y) = 6*y**3 - 7*y**2. What is o*z(v) + 7*u(v)?\nAnswer: 3*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -24962.77386 + -0.22614. Let d = x - -24970.0012. Let w = d - 7. What is w rounded to three dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 11, t: 1, b: 4, q: 1}. What is prob of sequence tt?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*k + 1107 - 1156 = 4*k for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10202 (base 5) in base 13?\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 136680 and 546720?\nAnswer: 546720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -3*l**2 - 7*l - 4. Let d be y(-2). Suppose 2*b - b = 0. Is 12 a factor of -84*(d\/6 - b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 plus -2669753.27462?\nAnswer: -2669753.47462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4678 - 4660. Let g(u) = -u + 47. Determine g(r).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -3\/5, -0.2, 285, 5, -0.25?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 38585 + 6\nAnswer: 38591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18897 is divided by 73?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1462117um in nanometers?\nAnswer: 146.2117","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -5 + 2 + -6 + 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2 and 1050462?\nAnswer: 1050462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 4*c**2. Suppose -v + 4 = -18. Suppose -17*t = -v*t + 50. Let i(u) = t*u - 5*u - u - 6*u. Calculate i(q(a)).\nAnswer: -8*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 46997 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3848.005 weeks to milliseconds.\nAnswer: 2327273424000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -496*w**3 + 1211*w**3 - 701*w**3.\nAnswer: 14*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-12*q + 65*q - 2 - 9*q)*(0*q**2 + q**2 - 7*q**2) to u*q**3 + x*q**2 + w + n*q and give u.\nAnswer: -264","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are -3\/16 and -2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3623\/344354 + 3\/2062. Is 0 > b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f\/(f\/f**(1\/53)))\/f**18)\/((f\/(f\/f**(-8\/11))*f*f)\/f)**(25\/4) assuming f is positive.\nAnswer: f**(-43575\/2332)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 5*z - 8 = 3*l, 5*l = -z + 4. Let k = z + 0. Sort k, -1, -4.\nAnswer: -4, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**2 + 10*d + 4. Let t be o(-10). Let a be t\/(-6)*(2 + -1). Put 4, 2\/3, a in descending order.\nAnswer: 4, 2\/3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -3*h**3 - 2. Suppose 2*j = -3*j. Suppose w = 0, 0*y + 4 = 2*y + 2*w. Suppose -y = -m - j*m. Let i(b) = -6*b**3 - 5. Calculate m*i(c) - 5*l(c).\nAnswer: 3*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17\/14, 0, 96, 6, -16, -1, 1 in ascending order.\nAnswer: -16, -17\/14, -1, 0, 1, 6, 96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18, -385, -748, -1107, -1462, -1813?\nAnswer: -2160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g - 7. Let a = 28 - 18. Let t be d(a). Let o be (4\/(-6))\/((-2)\/t). Is o less than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the second derivative of -1\/20*v**5 - 7\/12*v**4 + v + 0*v**2 + 0 - 1\/6*v**3. What are the prime factors of x(-7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*n + 2*n - 2 + 3*n + (248*n + 198*n - 316*n)*(2 - 2 - 4).\nAnswer: -519*n - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (130\/(-117))\/(-1)*-9.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the second derivative of -q**6\/10 - q**3\/6 - 10*q. What is the second derivative of z(p) wrt p?\nAnswer: -36*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 22.172 to the nearest integer.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -27*j - 5. Let b(i) = 7*i**2 + 2*i + 10. Let t(k) = -25*k**2 - 7*k - 35. Let h(z) = 7*b(z) + 2*t(z). Give n(h(p)).\nAnswer: 27*p**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -9226.5707 - -0.232\nAnswer: -9226.3387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -h**5\/2 + 3*h**4\/2 + h**3\/2 - 3*h**2\/2 = 0.\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*o + p - 31, -3*p + 388402 - 388358 = -4*o + p for o.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 958776?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22298865 is divided by 637109?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-2*sqrt(245) + 4)**2 + 1.\nAnswer: 336*sqrt(5) + 8837","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 3*g = -2*y + 9, 8 = 4*y - 4*g. Suppose -3*o = -4*v + 8*v + 12, y*v - 4*o = 16. Solve 0*x + 4*x = v for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/2340 and 37\/102?\nAnswer: 39780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3129989.\nAnswer: 17, 184117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 1)*(0*g - 3*g + 5*g) + (-3 - 3 + 1)*((6 - 4 - 1)*(0 + 0 + 2*g) + 4*g - g - g).\nAnswer: -22*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 417 (base 8) to base 11\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, q: 2, x: 2, e: 1, u: 1, n: 1}. What is prob of sequence enll?\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (388\/291)\/(((-21)\/7)\/((-117)\/2))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 4*c = 93, -4*c + 35 = 27. What is the remainder when 504 is divided by z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 49, 12, -25, -62, -99?\nAnswer: -136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1084*z - 42 = -1063*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = 2*q - 828, -5*q = -0*q + x - 2115. Is q a multiple of 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4737?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + 2. Let u be 1\/(-4)*(-48 + s). Suppose p = 2*t + u, 0*p + 3*p - 2*t - 21 = 0. Put -2, -1, p in ascending order.\nAnswer: -2, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 343\/24 - 29\/8. Find the common denominator of 59\/30 and g.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 954.1884 millimeters?\nAnswer: 95.41884","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 104, 15716, 1 in descending order.\nAnswer: 15716, 104, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 427*h - 442*h = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7362 + 7335. Is m > -127?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 44 - 74. Which is smaller: u or -29?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/9*144\/32. Suppose -85*h = -82*h - 57. Solve -4*l = p + h for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -76 - -317. Suppose -7*a + x = -179. Suppose 3*g = -a + 15. Is g at least as big as -15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 125372\/3698474 - (0 - (-883)\/(-59))\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 28*z + 40. Let j be m(3). Suppose -34 = 9*t - j. What is the remainder when 129 is divided by t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4 + 3)*4 - -1. Let q(s) = s - 1. Let c(b) = 5*b. Let l(t) = 6*t. Suppose 7*i - 3*i = -28. Let m(z) = i*c(z) + 6*l(z). Give d*m(h) + 2*q(h).\nAnswer: -h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the first derivative of 2*a**2 + 19*a - 5. Let j be n(-11). Is j >= -24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/2 (b) 3\/5 (c) 0.5 (d) -3.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 d, 1 w, and 1 m when four letters picked without replacement from {y: 1, w: 5, t: 2, k: 6, m: 5, d: 1}.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -59402904 divided by 88\nAnswer: -675033","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 73171241 a multiple of 3341?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3575510969 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6467 is divided by 27?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 21020551 + -5?\nAnswer: 21020542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3450\/4520 - (-9)\/(-12). Is -1 at most as big as z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 4*g - 164 = -g, 0 = -2*g. Calculate the remainder when m is divided by -1 - -21 - (-2 - 0).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 + c + 5. Let b be g(0). Suppose 3*a + b = 2*w + 18, a - w = 5. Solve i - 1 = 4*s, -3 = -a*s - 6 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -3*l + 8. Let b be l\/3 - (-28)\/(-6). Is b bigger than -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-19)*156\/(48 - -4)\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75197?\nAnswer: 29, 2593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - 0 - (-18 + 20)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*w - d + 27, -3*w + d = -2*d - 9 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -335036284 - -5?\nAnswer: -335036278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 7521757 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -u - 12. Let s be ((-6)\/(-4))\/((-6)\/u). Suppose s*a + 1155409 + 2724591 = 0. Round a to the nearest one hundred thousand.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -4*d + 708 + 94, 0 = o - 5*d - 373. What is the remainder when 401 is divided by o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 180, 190, 214, 258, 328?\n\"Answer: i**3 + i**2 + 178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, v: 1, z: 2, g: 1, e: 2}. Give prob of sequence zge.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*f = -1020 - 238 - 809 - 13 for f.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22 - 20. Find the third derivative of -5*m**2 + 3*m**x + 3*m**2 - 8*m**5 wrt m.\nAnswer: -480*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -2*l**2 + 11*l + 31. Let w be r(7). Let f(x) = 14 + 0*x - 2*x**2 - x - w - 2. What is f(-2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(-1) + 5 - 0. Suppose 4*v = 3*n - 30, 2*v = 2*n + 2*n - 30. Let b = 6 - n. Solve b = q*i + 4*r + 16, 4*i - 4*r = -10 + 2 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32, 46, 62, 80, 100, 122?\nAnswer: 146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -149*b - 1. Let a(s) = s - 1. Give 4*a(v) - 4*q(v).\nAnswer: 600*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1*(4 - 6))\/(-2 - -1). Sort r, 0, -29 in descending order.\nAnswer: r, 0, -29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15645 + 15643. Let q(m) = -7*m**2 - 21*m + 2. Let h(f) = -3*f**2 - 10*f + 1. Determine j*q(b) + 5*h(b).\nAnswer: -b**2 - 8*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 4, t: 11, c: 3}. What is prob of picking 3 c and 1 t?\nAnswer: 11\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.2262 - 0.7738. Let l be (3\/21)\/(42\/98). Which is the nearest to y? (a) -0.3 (b) l (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the second derivative of v**4\/6 + 21*v - 10. Let i(l) = -226*l. Determine i(u(y)).\nAnswer: -452*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*h**2 + 18 - 2*h**3 + 24 - 2*h**4 - 237*h + 5 - 43 to the form u*h**3 + c*h**2 + b*h + l*h**4 + n and give b.\nAnswer: -237","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -6*c**2 - 21*c - 6. Calculate u(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 30 = 3*b. Let u be (-39)\/15 - b\/15. Let x(t) = t**2 + 3*t - 3. Let p be x(u). Are p and -2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**2 + 2*w + 3. Let p(g) = 4*g**2 - 6*g - 10. Determine -14*h(o) - 4*p(o).\nAnswer: -2*o**2 - 4*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - (-6 + 0 - -4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a litre in millilitres?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**3 + 3756*w**2 - 1179375*w + 2343750.\nAnswer: -3*(w - 625)**2*(w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/14*(3 + (-33)\/18).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -2*t - 14671, 0 = -3*t - 4*b - 4*b - 21959. Is t smaller than -7333?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a hour in seconds?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 10\/4 - (-2)\/4. Let n(q) be the first derivative of -9\/10*q**5 + 3 + 0*q + 4\/3*q**p - 3\/8*q**4 + q**2. Factor n(x).\nAnswer: -x*(x - 1)*(3*x + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 701 - 700. Let y be (-22)\/(-8)*(3 + (-44)\/12). Which is the nearest to -1? (a) -4 (b) y (c) 2\/7 (d) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from qqqqxqqxxqq.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5\/5*(-9)\/(27\/(-11076))?\nAnswer: 2, 13, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**2 - 6*z + 9. Let l be t(-7). Suppose 3*p - l = -0*p - 2*x, -2*p = -4*x + 4. Solve p*u + 1\/3*u**3 + 1\/3*u**2 + 0 = 0 for u.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7268*h + 15 + 13436*h**2 - 8 - 7 - 13439*h**2 as k*h + q*h**2 + t and give k.\nAnswer: -7268","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101000000000 - 100?\nAnswer: 100111111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/20 and 97\/5884.\nAnswer: 29420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 3*s + t, -5*s + 56 - 23 = -4*t. Let w = 24 + -20. Let d = w - -5. Solve -s*h + 11 = -d for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 210635 and 397139.\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.5 + -0.1. Let n = -76\/21 + 241\/84. What is the third smallest value in n, k, -4, -3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/416823 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -195216617 + 3?\nAnswer: -195216614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1039924?\nAnswer: 2, 17, 41, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 234140?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 161\/138 - 1\/6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/((-29)\/((-87)\/2)). Which is the second biggest value? (a) -2\/9 (b) l (c) -127\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 308.9525502 - 152.95255101. Let c = -156 + o. Round c to seven decimal places.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 5*m**2 + 7*m + 1. Let p be (13 + -22)*(4\/6 - 0). Let n(t) = 4*t**2 + 6*t + 1. Let k = -3 - -4. Suppose 26 = 5*v + k. Calculate p*n(y) + v*d(y).\nAnswer: y**2 - y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 4074966?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**8*m*m)\/m*m)\/(m**(11\/2)\/m) assuming m is positive.\nAnswer: m**(11\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10569 + 21548. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 2*t + 5844 = 0. Suppose -4*l = 4*y - 6236, 4*l - 4300 - t = 2*y. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {l: 1, n: 9, t: 2, d: 6}?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 21221 - 84901\/4. Are -17 and g equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -65596? (a) -1\/6 (b) -6 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 3*l + 24 = -4, 3*x = -4*l + 71. Let a = x - 10. Suppose 2*v - a = -3*v. Solve 3*u + 6 = v for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*h*l*w**2 + 2*h*l*w + 3021*h*w**2*z**2 + 4*l**2*w*z**2 + l**2*w*z - 15*l**2*w + 2*l*w**2*z - 3*w**2*z wrt z.\nAnswer: 6042*h*w**2 + 8*l**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 1006 = 21*u - 20*u, -2*u + 2*f + 2012 = 0. Let c = -223 + u. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the third derivative of 0 + 77*b**2 + 0*b**3 - 11\/15*b**5 + 0*b + 5\/3*b**4 + 1\/30*b**6. Solve j(h) = 0 for h.\nAnswer: 0, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1915 + 555. Is c a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -10*g. Let l(v) = -4*v + 46393. Calculate s(l(f)).\nAnswer: 40*f - 463930","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the first derivative of 2 + 1\/3*u**3 - 6*u + 0*u**2. What is the first derivative of z(r) wrt r?\nAnswer: 2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8394?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -3*g**3 - 8*g**2 + g. Let h be u(-3). Suppose h*b - 268 - 32 = 0. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 516 - 66 = 5*c. Suppose 3*h + c - 93 = 0. Let s = 0.205 - 3.205. What is the nearest to h in s, 4, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80851407 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.58 times 198?\nAnswer: 906.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the third derivative of -8411*y**8\/336 - 1229*y**4\/8 + y**2 + 2*y + 1680. What is the second derivative of r(u) wrt u?\nAnswer: -168220*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3*2\/6*-1. Let y(m) = f - 3 + 3 - 8*m. Calculate y(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*t + 1751*t + 45580 = -332*t - 88673 for t.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(2 + -3*-4*(sqrt(76) + sqrt(76)*-1*6 - sqrt(76)))*-4)**2 + 3.\nAnswer: -230400*sqrt(19) + 157595203","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -629856*a**4 + 2587693392*a**3 + 9349923960*a**2 + 11256735100*a + 4517032000 = 0.\nAnswer: -65\/54, 4112","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 4 - -6328\nAnswer: 6332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3 - (66\/(-8) - -3). Let f(j) = j**3 + 8*j**2 - 2*j + 61. Let n be f(-9). Sort v, n, 4, 5.\nAnswer: n, v, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 i when two letters picked without replacement from {g: 3, p: 1, i: 1, n: 1, c: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -66*-501.\nAnswer: 33066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 21283 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 454 divided by 8.\nAnswer: 227\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -5 + 12 + -1?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x**2 - 6914*x + 1339888 = 0. Calculate x.\nAnswer: -3641, 184","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 0 = 8. Suppose 0 = 2*z - z - 2. Suppose r*d - z*d - 8 = 0. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19969951609 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 2395?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 35 - 17. What is the greatest common factor of 9 and y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*a + 19*a - 156 = 0. Suppose 0 = -4*i - a*u + 651, -u - 299 = -2*i + 34. Is i a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((1 + sqrt(300) - sqrt(300))*-5 - (6*(sqrt(300) - sqrt(300)*2) + sqrt(300))**2).\nAnswer: -7501","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1744 + -1743. Which is the nearest to 4\/9? (a) u (b) -3 (c) 2 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = l + 3, 2*l = 4*i - 18. Find the second derivative of 78*k**3 - i*k**5 + 2*k - 78*k**3 + 4*k**5 wrt k.\nAnswer: 40*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 5*g - 19 = 2*i, -8 = 2*i + 4*g. Calculate the remainder when 22 is divided by i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 99513 (base 11) to base 12\nAnswer: 6b667","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94827 is divided by 6763.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5.1? (a) -4\/7 (b) -4 (c) -29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 20 + -16. Suppose p = 2*v - 2*r + 8, -3*r = -2*v - 8. Suppose -v*n - 8*n = -1850. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the third derivative of u**7\/1260 + u**6\/108 + u**5\/30 - 61*u**3\/3 - u**2 + 78. Let m(w) be the first derivative of q(w). Solve m(k) = 0.\nAnswer: -3, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -61413*a**2*v - 34890*a*v wrt a.\nAnswer: -122826*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**3 + 9*n**2. Suppose 2*p = 4*p + 14. What are the prime factors of y(p)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 4*c - 175 = 0, 2*f + c = 3*f - 166. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -7*l. Let t(b) = 21*b + 32*b - 65*b. Determine t(o(z)).\nAnswer: 84*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2568 is divided by 368.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -920 - 24*a + 914 + 3*a. Let y(t) = -33*t**2. Determine s(y(o)).\nAnswer: 693*o**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 3, 1639 in descending order.\nAnswer: 1639, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the second derivative of -q**5\/4 - q**4\/12 + q**3\/3 + q**2 - 16*q. Let a be i(-1). Sort -2, 2, a.\nAnswer: -2, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 + 7*p**2 - 4*p + 2. Let o be n(-7). What is the highest common divisor of 12 and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 46 + -78. Let j = -27 - c. Find the third derivative of -s**2 + 12*s**j + 3*s**2 + 8*s**5 + 6*s**2 wrt s.\nAnswer: 1200*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the third derivative of x**8\/10080 - x**7\/720 - x**6\/144 + 11*x**5\/10 + 4*x**2 - 7. Let k(n) be the third derivative of z(n). Determine k(6).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*l + 2*a - 58 = -9*l, -2*a + 18 = -2*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 111\/24380840 and 59\/11440.\nAnswer: 633901840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1737\/226490 - 1\/1595. Let h(w) = -w - 10. Let l be h(-10). Which is smaller: l or q?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -145*g - 2096 = 4368 - 1099 for g.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 2*h. Let l(u) = -3*u + 4*u + 2*u. Give i(l(z)).\nAnswer: 6*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 2*c**3 - 3*c**2. Let l be q(2). Suppose r = -r - l. Let b be (-6*r\/(-4))\/(-1). Which is greater: b or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.04 + -2.96. Let f = 3.6 - -0.4. Let o = f + x. Which is the closest to 0? (a) -0.3 (b) o (c) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -0.2, 3\/2, -4\/11, 4607, 4\/21, -5, 1?\nAnswer: 4607","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25*854\/(-4575)*36\/21.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 5*g + d, 34757*g - 34761*g - 27 = -3*d for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -23*y**2. Let v(j) = -3*j + 23. Let u be v(7). Let w(i) = i**2 + 0*i**u - 3*i**2. What is w(r(x))?\nAnswer: -1058*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 16 = -3*m, 3*o - 7*o - 3*m + 2 = 0. Let k(s) = -s**2 + 9*s + 3. Let u be k(8). Let b = u - o. What are the prime factors of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l - 21. What is i(17)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3 + 4)*36\/21. Let q = 40 - c. Suppose -5*l + q = 123. What is l rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 626*f + 3381*f + 1818*f + 23300 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**3 + 17*q**2 - 58*q + 42. Let k be n(-20). Solve -3*v + k*b + 3 = 5*b, 2*v - 2*b = 6 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2*(-8 - (-2303)\/287). Which is the nearest to 4? (a) 1\/3 (b) u (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w - 2. Let q be j(-5). Suppose q*x - x = 30. Suppose 2*t = 5*k - 9, -k - 2*t - 9 + 18 = 0. Solve -3*z = -z + p + k, 2*z - 5*p = x for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 214533149 is divided by 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 62141 to the power of 1\/3, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + i = -2. Let x be 74 + (i - (3 - 2)). Let k = x - 49. What is the greatest common divisor of 11 and k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11370 + 20982. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1699100 or -0.2?\nAnswer: 1699100","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.05, 2\/5, 3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the first derivative of u**3 + 5. Let w(g) = -3*g**2. What is v(w(o))?\nAnswer: 27*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 88700 rounded to the nearest 10000?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*g**3 + 53*g**2 - 162*g + 24*g**2 + 163*g + 22*g**2 in the form a*g**3 + s + k*g + l*g**2 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-13) - 33\/(-39). Suppose 9*m - 227 = -20. Let x(z) = m*z**2 + 17 + 10 - 27. Determine x(u).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 2*c**2 + 39*c - 5321. Does 8 divide h(81)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1448997\/8 at most 181126?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 - -52771?\nAnswer: 52773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.21 - 1.79. Let t = -5 - s. What is the third biggest value in 3\/7, t, -2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7.863 - 7.9. Let k = 2.2051 + -2.242133. Let f = k - l. What is f rounded to 5 dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - -4. Suppose 3*u = 5*i + 208, 94 + 50 = w*u - 2*i. Is 15 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -342 = -5*z + 4*g, 0*z - 60 = -z - 2*g. Let l = z + -61. Suppose -a - 8 = -3*a, -l*d = -a + 4. Solve 3*o = d, n - 2*o + 0 + 1 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 36972*c*l**3 + 25*c*l**2 + c*l - 2*c - 8*l wrt l.\nAnswer: 221832*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 16127 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32593?\nAnswer: 11, 2963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -83861806 - -83861458.00173. Let t = y - -348. Round t to 4 decimal places.\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 284*n**3 + n**2 - 1. What is the hundreds digit of l(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 347*f + 97*f + 3268 + 3836 for f.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2314, -4696, -7144, -9664, -12262, -14944, -17716, -20584?\nAnswer: -23554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -7 + 12 + x**2 - 10 + x. Let n be w(3). Solve 5*c + 4*d + 27 = n, -5*c + d = -5 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 138*o - 51*o - 49*o - 46*o.\nAnswer: -8*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) -7\/48 (c) 3697 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -108803460 divided by 18133910?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 54*n + 41 = -49*n, 91 = g + 19*n for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -31 - -18. Let c be 3\/(9*(-9)\/27). Which is smaller: c or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -6 + -223 + -4 + (-16)\/(-4). Let b = 355 + n. What is the remainder when b is divided by 43?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 152\/7 - 22. Let t = -6 + 10. Suppose 2*a - t*a = 8. What is the biggest value in a, y, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j - 694. Let d(c) = -7*c - 35. Let w(q) = 3*q + 14. Let k(a) = -2*d(a) - 5*w(a). What is k(h(z))?\nAnswer: -z + 694","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 163 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = 5*n - 15. Suppose -14 = -o + z + 5, -n*o + 37 = 2*z. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**3 - 530*y**2 - 3758*y + 13. Give r(-7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:48 AM and 5:04 PM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 896214 is divided by 2439?\nAnswer: 1101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vpv when three letters picked without replacement from {v: 1, p: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 - 17*v + 3*v + 12*v + 10*v + 1 to i*v + h and give i.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2397 is divided by 44.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 176035830 to the nearest integer?\nAnswer: 560","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.5, -3512, 164, 0?\nAnswer: 164","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2204064880 to the power of 1\/2, to the nearest integer?\nAnswer: 46947","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (10\/2)\/((-57)\/(-494)*13\/6)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -516*a**3*n**3 - 2*a**3*n + 847*a**3 - 15*a**2*n**3 + a**2*n + 2*a**2 - 3520*n**2 - 3 wrt a?\nAnswer: -3096*n**3 - 12*n + 5082","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes after 11:22 PM?\nAnswer: 10:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 4*l + 4. Let n be w(10). Let c = 3 + 1. Is 9 a factor of n\/c - -2*1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -j + 7*j + 116*j**3 - 160*j**3 - 6*j + 4 as m*j + c*j**2 + w*j**3 + l and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 36497.979ms in hours?\nAnswer: 0.0101383275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*h**2 - 3*h - 5*h**2 + 16*h**2 in the form u*h**2 + o + d*h and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1981, 8830, 20245, 36226, 56773, 81886?\nAnswer: 111565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1979 and -1618?\nAnswer: 361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 125732 (base 10) in base 2?\nAnswer: 11110101100100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the third derivative of -a**6\/1080 + a**5\/180 - a**4\/72 + a**3\/6 + 3*a**2. Let m(u) be the first derivative of d(u). Factor m(h).\nAnswer: -(h - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -252, 4 in increasing order.\nAnswer: -252, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1314 is divided by 430.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9749563 - 19.\nAnswer: -9749582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 56 and 12592.\nAnswer: 705152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 2*f - 16 = 28, 4*w - 5*f = -83. What is the units digit of ((-4)\/(-3))\/((-3)\/w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2146*z**2 - 10*z + 105*z - 2145*z**2 to a*z + w*z**2 + c and give a.\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 v when two letters picked without replacement from ovvvvvvvvvvvvovvovvv?\nAnswer: 51\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000008006 rounded to seven decimal places?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1380425?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:00 AM and 6:40 AM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.2, 1, -17\/3, 2\/3?\nAnswer: -17\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -6*m + 4*m + 22, 3*p + 15 = 3*m. Let a = -7 + m. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (40 - 15) + (-1 - 4) and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**3 + 6*w**2 - 6*w - 7. Let a be z(-6). Let m = -25 + a. Solve -3*k = -2*k + m for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1548 divided by 774?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 78 divide 5070?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 - -3651?\nAnswer: 3728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) -22 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 353*w + 2086. Determine y(-7).\nAnswer: -385","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is (1502\/2253)\/((-4)\/(-493674) - 0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.8 in 1137, 6, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 37099972?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.7108 to zero dps.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 2*j + 8 = 0. Suppose 2*v - 7*v = -5, -4*v = 5*b - 14. Calculate the greatest common divisor of j and b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -366*a + 2210. Let c be n(6). Solve 231 = -3*l - 3*u + 234, -l - 4*u - c = 0 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (166\/30)\/(-83)*(-10)\/(-12).\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -227*m + 895*m + 83*m to the form t + f*m and give f.\nAnswer: 751","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -195038 minus 16?\nAnswer: -195054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 845 and 1820.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1\/20, 3\/8 in decreasing order.\nAnswer: 3\/8, 1\/20, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-14*o**2 + 34*o**2 + 12*o**2)*(0 + 0 - 2*o) to the form z*o + l*o**2 + s*o**3 + j and give s.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*v**2 - 4*v**2 - 2*v**2 + v**2 - v**2 - v**2 + (-v + 1 - 1)*(42*v + 29*v - 95*v).\nAnswer: 19*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 232236 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(147)\/(sqrt(108) + sqrt(108)*2))\/(-5*(sqrt(1008)*2 + sqrt(7))).\nAnswer: -sqrt(7)\/2250","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3 + 1 - -1 - -2. Suppose -x + q = -4. Sort 2, x, -1 in increasing order.\nAnswer: -1, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31482, 63395, 95396, 127491, 159686, 191987, 224400, 256931?\nAnswer: 289586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 619370?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xbbxxoqqbx. Give prob of sequence qo.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:31 AM and 11:02 AM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 13, -14, 12677.\nAnswer: -14, 4, 13, 12677","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100*v + 631 - 1189 = -4358 for v.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.4 (b) 0.4 (c) 191 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.6 (b) 28 (c) -3\/10 (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**2\/2 - 55*l + 108.\nAnswer: (l - 108)*(l - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 810 = -4*c + 3*j + 780, 5*j + 20 = -5*c. Let r(l) = -6*l + 37. Let w(o) = 5*o - 36. What is c*r(z) - 7*w(z)?\nAnswer: z + 30","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -158.77 * 0.05.\nAnswer: -7.9385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -30 + -9?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(13) - (sqrt(13) - (1 + sqrt(13))))*-1 - sqrt(52)\/(sqrt(4) + 2*sqrt(4) - sqrt(4)) - sqrt(143)\/(sqrt(33)\/sqrt(3)*-3)) + 5)**2 + -4.\nAnswer: -28*sqrt(13)\/3 + 1069\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6687, -6986, -7405, -7944, -8603, -9382?\nAnswer: -10281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -7858, -15716, -23574?\n\"Answer: -7858*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5360781*n**2*u**3 + 110690*n**2*u - 2*n*u**2 - u wrt u?\nAnswer: -32164686*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 50974 divided by -18?\nAnswer: -25487\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4.91 and -32022?\nAnswer: 157228.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.127313 and -2?\nAnswer: 2.127313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 2 (b) -0.2 (c) 0.5 (d) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 1 + 2*b**3 - 4*b + b - b**2 + 2. Is l(2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ama when three letters picked without replacement from aamamammaamammamama?\nAnswer: 45\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.357 and -71.\nAnswer: 25.347","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 8526 = 2*l. Let d = 1859 + l. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5229 is divided by 851.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8699632?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2 + ((5 - 16) + 13 - (5 + 2))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 + 2)*(-2)\/6 + 135. Let u = 156 - x. What is the greatest common divisor of u and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4503420 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**3 - 7*m**2 - 12*m - 2. Suppose -u + 26*u = -3*u - 140. Calculate i(u).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ovkm when four letters picked without replacement from {z: 1, v: 3, k: 2, c: 5, o: 3, m: 6}?\nAnswer: 3\/3230","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.67 rounded to one decimal place?\nAnswer: -4.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 1332370?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a day in seconds?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7387.7 times -2246?\nAnswer: -16592774.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and -73.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 2*d = 3*d - 9, -3*w - 14 = -4*d. Let c be (6\/(-10))\/(w\/(-10)). Determine g, given that 0*g**2 - 1\/4*g**4 + 1\/4*g**c + 0 + 0*g = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 38456 and 6680856?\nAnswer: 3496","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the first derivative of -a**3\/3 + 5*a**2 + 11*a - 4. Let f be d(11). Which is smaller: -5\/6 or f?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 23 - -3. Suppose -v = 2*m - 62. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 3*y = -4*s + 4, -40 = 5*s - 5*y. Let c(n) = -14*n + 83. Let k be c(6). Put k, 10, s in decreasing order.\nAnswer: 10, k, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes after 10:08 PM?\nAnswer: 5:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 z when two letters picked without replacement from mvz.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -26.5091 and -0.3.\nAnswer: 7.95273","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 - 5*h. Suppose w + 3*z = 10, 2*w + 2*w = 2*z - 30. Let b(r) be the third derivative of r**4\/24 - 2*r**2. Give w*b(y) - s(y).\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1842*a**2*s**3 + 198*a**2*s + 567*a**2 + 27*a*s + 41*s**3 - 46*s**2 wrt s.\nAnswer: 11052*a**2*s + 246*s - 92","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2609 - -2614. Solve 0 = -y*t + 5*f + 5, 2*t + 28 = -4*f - 0*f for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 33, -2230.54, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*v**2 + 405.\nAnswer: -5*(v - 9)*(v + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, 0.6, -0.4, -2\/15, 3\/4, -38.3?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are 578 and 319611\/554 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -5*m**3 + 4*m**2 + 2*m - 7. Let n(l) = 10*l**3 - 7*l**2 - 4*l + 13. Give 7*i(h) + 4*n(h).\nAnswer: 5*h**3 - 2*h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 200344 and 8848.\nAnswer: 632","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 49, 104, 163, 226?\nAnswer: 293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1001710453.\nAnswer: 73, 3389, 4049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 429.162 + 0.838. Let u = -473.7 + s. What is u rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1\/3*i**2 + 3\/2*i**3 - 2\/3*i**4 + 0*i + 0 = 0. What is i?\nAnswer: 0, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 4*w**3 - 107*w**2 - 25*w + 4. Let m be t(27). Does 514\/9 = m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the first derivative of 2*o**3\/3 + 70*o**2 + 12*o - 988. Let d(j) = j**2 + 56*j + 5. Calculate 12*d(g) - 5*v(g).\nAnswer: 2*g**2 - 28*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u = -f - 24, 3*u + 20 = 2*f - 3*f for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/15 in -21, 0.23, 18?\nAnswer: 0.23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, 4143 in descending order.\nAnswer: 4143, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 160, 400, 5 in decreasing order.\nAnswer: 400, 160, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 431908 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 235607?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -98053070212559\/8744 - -11213754587. Let g = r + -1\/2186. Find the common denominator of -67\/6 and g.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 269 = -25*k + 27*k + h, -2*h + 10 = 0. Calculate the greatest common factor of k and 220.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 3, b: 4}. Give prob of sequence fbfb.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 4) to base 10.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 47295070?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 0.765618 tonnes?\nAnswer: 765.618","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*d**2 + 3*d**2 - d**2)*(-d + 0*d - d) + 0*d**3 - 2*d**3 - 7*d**3.\nAnswer: -3*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 24 - 22. Suppose -w - 5*t + 274 = -0*w, -n*t = -w + 260. What is the hundreds digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -86 in -0.4, 45812, 5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 64*a - 69*a + 10 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -8*u**2 + 87 + 2*u - 87. Let s(a) = 8*a**2 - 3*a. Let f(r) = 3*i(r) + 4*s(r). What is the second derivative of f(d) wrt d?\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*o - 7*o - x = 453, 2*x + 606 = 4*o. Let u = o - 146. Solve -9*c = -13*c + u for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*s + 57 = -133. Let w(f) = -6*f**3 - 3*f**2 - 5. What are the prime factors of w(s)?\nAnswer: 2, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 153? (a) -19 (b) 6\/31 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -42, -80, -132, -204, -302, -432?\n\"Answer: -w**3 - w**2 - 28*w - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n. Let w(c) be the third derivative of -5*c**4\/8 - 35*c**2. Calculate w(f(y)).\nAnswer: -15*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 14756295497 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 250 + 431. What are the prime factors of m?\nAnswer: 3, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1144 - 1054. What is the lowest common multiple of w and 63?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15 and 90.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/98 and -55\/4?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -49*t**2. Let n(s) = 2*s. Determine l(n(w)).\nAnswer: -196*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (113 - 114 - -29).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -48 - -67 - (2 + 3 - 6).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 388.141 - 18.\nAnswer: 370.141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 60856 to the power of 1\/3, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 2*t**3 + 5*t**2 + 4*t - 3. Suppose 35*k - 25*k = -10. Let w(u) = u**3 + u**2 + u - 1. Calculate k*a(r) + 4*w(r).\nAnswer: 2*r**3 - r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 9252, 9494, 9896, 10464, 11204?\n\"Answer: z**3 + 74*z**2 + 13*z + 9164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -3*w + 9, -w + 5*c + 21 = -0*w. Suppose -6*r - 22 + 58 = 0. What is the greatest common divisor of r and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes before 5:59 AM?\nAnswer: 4:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 0 - 1 - (46 - 51)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 84787926 to the nearest integer?\nAnswer: 439","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22, 77, 206, 445, 830, 1397, 2182, 3221?\nAnswer: 4550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*((n\/(n*n**(-2)))\/n)\/n)\/n*n*n**(-6\/5))**(-36))**(-2\/9) assuming n is positive.\nAnswer: n**(-8\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -130, -138, -156, -190, -246, -330?\n\"Answer: -l**3 + l**2 - 4*l - 126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(35\/4)*-7*-5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5434, 43409, 146424, 346981, 677582?\nAnswer: 1170729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 + 27 - 10 - 573*r.\nAnswer: -573*r + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -878*b + 883*b - 1245 = 0. What is the smallest common multiple of 33 and b?\nAnswer: 2739","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w. Let r(v) = -13*v - 11. Let u(x) = -8*x - 7. Let q be -6*(-1)\/(-3) + 6*-1. Let a(s) = q*u(s) + 5*r(s). Determine a(d(b)).\nAnswer: b + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1224 and 58434984?\nAnswer: 1224","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001191457 to 7 dps.\nAnswer: 0.0001191","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12 - -11.9957. Round f to three dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, a: 2, m: 4}. Give prob of picking 2 e.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2734*r + 108 + 2728*r - 94 to the form x + l*r and give x.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b**5 - 25*b**4 = 0.\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1134 + 7300 + 14358 = 259*d for d.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 677*k*v**3 - 67*v**3 - 4*v wrt k.\nAnswer: 677*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y = -12 - 0, -d + 129*y = -2*d + 118*y + 62 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 3*s**2 + 10*s + 4. Suppose -21*f + 19*f = -12. Let m be f\/21 + 9*20\/(-42). Is 2 a factor of j(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 25, -2, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 82 or -2691?\nAnswer: 82","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:40 AM and 8:01 PM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81\/2*s**2 - 3\/2*s**3 - 192 + 234*s = 0. What is s?\nAnswer: -32, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2927444?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 99\/56 and 30\/7616987?\nAnswer: 60935896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7420, -7405, -7366, -7291, -7168, -6985, -6730, -6391?\nAnswer: -5956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1660877?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/6*-1*57. Let n = i - -27. Let m be n\/4 - (-3 + 1). Solve -x - m = x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 1 + 255*z + 233*z - 4 + 3 - 489*z.\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand p**5 + p**3 - p**3 + (7*p - 9 + 9)*(1 + p**4 - 1).\nAnswer: 8*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -163, -5, -1, -2, -13, -1\/176?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1140)\/126*63\/(-245))\/((-24)\/(-56)).\nAnswer: 38\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -58*s**5\/3 - 614*s**4\/3 + 1184*s**3\/3 + 18536*s**2\/3 + 8512*s\/3 - 88960\/3 = 0.\nAnswer: -278\/29, -4, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21944, 22225, 22706, 23399, 24316, 25469?\nAnswer: 26870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 30 and 68030370?\nAnswer: 68030370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -3 - 403*x**2 + 5 + 458*x**2 + 4*x. Let g(f) = 4838*f**2 + 354*f + 177. Let v(d) = -2*g(d) + 177*u(d). Let a(z) = -z**2. Determine v(a(t)).\nAnswer: 59*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bxqsqxssxbxqsa. Give prob of sequence qqb.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 337*k**6 - 83*k**3 - 3*k**2 - 4409*k - 4?\nAnswer: 40440*k**3 - 498","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14)\/sqrt(2) + 3 - (sqrt(567) + 1))**2.\nAnswer: -32*sqrt(7) + 452","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/3 - (-1045)\/3. Let f = 704 - 706. What is the remainder when f*1\/((-8)\/b) is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3266 and -2.\nAnswer: -0.6532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 289 = 3*z + 5*a - 88, 3*a - 488 = -4*z. Suppose 5*l + 4*m - z = 0, 0 = 2*l - 5*l - 2*m + 71. Calculate the remainder when l is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 9, a: 2}. Give prob of picking 2 q and 2 a.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 530 and 183048220.\nAnswer: 530","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -137730, -133941, -130168, -126417, -122694, -119005, -115356, -111753?\nAnswer: -108202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f + 893 - 148. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 + 11. Suppose -4*d + 12 = -z, 0 = 2*d + z - v - 2. Suppose -p - d*t = -6, -4*p + 14 = 4*t - 26. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 66054118?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 340, 401, 462?\n\"Answer: 61*y + 279","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + 4*r - 4, -5*z - r + 3 = 2*r. Let g = z + 2. Let d = 5 - g. Solve 0*o = o + d for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**2 + 15*q - 116. Let u be r(8). What is the greatest common factor of 476 and u?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1670?\nAnswer: 2, 5, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 - -11. Let d(h) be the second derivative of h**4\/6 - h**3\/3 - 3*h**2 - 74*h. Let v be d(b). Solve 3 = 3*w - v for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 33640 and 316859365.\nAnswer: 4205","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13913*u**3 - 2*u - 55509?\nAnswer: 83478*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -2 + sqrt(180) + sqrt(180) + 0)**2.\nAnswer: -144*sqrt(5) + 756","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**2\/b*b)\/b)**(-8\/7)*b\/(b**7\/b)*b\/b**4*b assuming b is positive.\nAnswer: b**(-57\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 2*q**3 - 19*q**2 - 35*q + 80. Let h(b) = -b**2 - 6*b + 3. What is the smallest common multiple of t(11) and h(-5)?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(2\/3))**(-2\/71))**(-45) assuming r is positive.\nAnswer: r**(60\/71)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 5*z + 4*p = -34, 3 = -3*p. Let a be (3 - 0 - z) + 91. Suppose 33 = 11*n - 209. Calculate the greatest common divisor of a and n.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**3 - 1 - 4 - 137*u + 7*u**2 + 143*u + 0. Give w(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j - 4. Suppose -2*t = -1 - 9. Let d be w(t). Calculate the remainder when 47 is divided by (-9)\/(6*d\/(-8)).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:40 PM and 7:39 PM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 124 = -5*g + 56, 0 = 3*g + 4*b - 129. Let p = g - 1. Let j = p - 32. Solve 0*y + 3*o = y - 4, 5*o = y - j for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 658177966?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -34 - -33.62. Let f = 0.02 - o. Let t = -10 + 6. What is the third smallest value in f, -2, t?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -0 - 16. Suppose p*c = -3*d + 12, 2*d + 6 = 2*c + 3*d. Let g = c + 21. Solve -3*r - 5*o + 10*o + g = 0, 5*o + 3 = -4*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 + 7. Let p = n - -4.2. Let w = -1 + 0.8. Which is the second biggest value? (a) w (b) 1 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 19*n - 10. Let i(u) = 13*u - 7. Let c = -23 + 28. Suppose 16 = -2*k + o - 0*o, -c*k + 2*o = 39. Calculate k*i(b) + 5*a(b).\nAnswer: 4*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 + 8. Let w be 10\/25 - (-3)\/5. Is w + 33 - (z - -3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 14821*t**4 - 36638 wrt t?\nAnswer: 59284*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 2*q - 7. Let b be m(6). Suppose -b*h = -h. Which is bigger: -3\/5 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -783630*z + 784413*z + 103356 for z.\nAnswer: -132","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00379643 to 4 decimal places.\nAnswer: -0.0038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-3)\/4)\/((-1)\/(-4)). Let k be j\/12 + 21\/4. Let g(y) be the third derivative of -y**5\/60 + y**4\/12 + 7*y**3\/6 + y**2. Give g(k).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 - 55 = 8*c. Let v(w) = 107*w**2 + 10. Let g(y) = -2. Let p(m) = c*g(m) + v(m). Differentiate p(k) wrt k.\nAnswer: 214*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 201*y - 173056 = 149*y. What is the greatest common factor of 520 and y?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -2*c**3 + c**2 - 127*c. Let z(p) = -2*p**3 - p**2 - 127*p. Calculate 6*f(m) - 5*z(m).\nAnswer: -2*m**3 + 11*m**2 - 127*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -90*h + 4*h - 104*h.\nAnswer: -190*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 3, a: 1, o: 1, b: 1, n: 1}. What is prob of sequence bno?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 514521 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/368 in -0.3, 404, -5, 0.4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11095?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 25449?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2717 and 2054?\nAnswer: 429286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and 5706?\nAnswer: 28530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 + 8*j**2 + 9*j - 16. Calculate q(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 68.23206ml to litres.\nAnswer: 0.06823206","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -3*j - y + 1678, 1266 = 3*j - 3*y. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/2*2*(-20)\/8.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - 25 - (-3 - 5 - 23)) + -3.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 79116.4 centuries in millennia?\nAnswer: 7911.64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 104 + -106. What is the third biggest value in 0.1, l, -0.1, 4.2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69911669 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (4716\/126)\/((-1)\/(-7))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**3 - 4*o - 48. What is the remainder when 180 is divided by x(-5)?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33052 take away 358.729?\nAnswer: -33410.729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -18 - -32. Let h(x) = -x**2 + 14*x + 5. Let o be h(s). Let u = o - 1. Calculate the remainder when 10 is divided by u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes before 1:45 AM?\nAnswer: 8:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, p: 1, l: 4}. Give prob of picking 1 g and 2 l.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -1546*n**2. Let c(s) = -s. Determine c(g(p)).\nAnswer: 1546*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -3780*g - 68037. What is r(-18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 3*a = 5, -a + 18 = v - 5*a for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22 - 210201?\nAnswer: -211000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u**3\/5 - 112*u**2\/5 + 122*u = 0.\nAnswer: -61, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -12231 + -6?\nAnswer: -12237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -5347, -21372, -48079, -85468, -133539, -192292?\n\"Answer: -5341*q**2 - 2*q - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i**2 - 2 + 4*i**2 + 5*i**2)*(4 - 4 - 3)*(-3*i**3 + 6*i**3 + 3*i**3)*(-1 + 1 - 2).\nAnswer: 252*i**5 - 72*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 254, 509, 764, 1019?\n\"Answer: 255*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1*(-1 - -3 - 1). Let o(y) be the third derivative of 0 - 3*y**2 + 0*y**3 + 0*y**4 + 0*y + 1\/10*y**5. What is o(k)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -2*l - 3*r, -4*l + 4*r + 3 = 3*r. Suppose 4*m + 4 = 0, -l*h + 5*m - 1829995 = -5*h. What is h rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -62 - -136. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13 - -18. Let s = -119\/20 - -26\/5. Let i = -4.6 + 0.6. Sort i, s, a in increasing order.\nAnswer: i, s, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-12)\/(-5) + -2)\/(6\/(-5)). What is the biggest value in 1, 7, 4, k?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the third derivative of a**5\/120 + a**4\/24 + a**3\/2 - 3*a**2. Let m(g) be the first derivative of w(g). Differentiate m(c) wrt c.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.75 - -0.61. Let w = 14.86 - l. Which is bigger: w or -3\/4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 461 is divided by 58?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 3*j**3 - 11*j**2 + 5*j + 2. Let y(s) = -4*s**3 + 12*s**2 - 6*s - 2. Determine -3*o(k) - 2*y(k).\nAnswer: -k**3 + 9*k**2 - 3*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 + 8a718a1?\nAnswer: 8a718a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 45 and 36032121.\nAnswer: 180160605","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i**5 + 203*i**4\/6 - 45*i**3\/2 - 965*i**2\/6 - 273*i\/2 - 33 = 0. What is i?\nAnswer: -1, -2\/3, -1\/2, 3, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l + 509 - 74. Let c = l + -53. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-6)\/(-5) - 1)*3. Suppose -38*k + 34*k + 100 = 0. Suppose -17*a = -22*a + k. What is the nearest to -2\/3 in -0.2, i, a?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-5*sqrt(72)*-2 + (sqrt(72) - (4*-1*sqrt(72) + sqrt(72))))*-5)**2.\nAnswer: 8820000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 1268488?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87 = -3*w - 26*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 162 less than 321\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(-1\/6))\/((a\/(a**(3\/10)\/a))\/a))**(-20)*(a*(a**1\/a)\/a)**(-1\/12)\/(a**(1\/4)*a)**5 assuming a is positive.\nAnswer: a**(-107\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + (sqrt(104) + sqrt(104) + (sqrt(104) - -5*sqrt(104))*1)\/((sqrt(648) - sqrt(648)*-2) + sqrt(648)))*6*-6)**2.\nAnswer: 1152*sqrt(13) + 6016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(832) - (1*sqrt(832) + 4))**2 + -4.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (27*w + 5 + 0 - 3)*(-98*w - 56*w + 34*w) to y*w**2 + d*w + a and give d.\nAnswer: -240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 3*j + 6 = 0. Calculate the remainder when 3\/j*15*2 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25\/(-750)*-18*(-6)\/9?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000079639131 to 6 dps.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23339?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 8756703 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the first derivative of f**2\/2 + 3*f + 2. Let i be s(2). Suppose 4 + 16 = 4*j - i*t, -5*t + 50 = 3*j. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + (sqrt(432) - (sqrt(432) + 0 + 0 + sqrt(432) + sqrt(432)) - sqrt(432)))*-3)**2 - ((1 + 6*(sqrt(12) + -3))**2 + 2).\nAnswer: 1056*sqrt(3) + 34278","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-3)\/(-4))\/(5 + (-975)\/240). Let f = 33 + -33.04. What is the third smallest value in f, -0.5, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1234\/147 - 3\/49. Do h and -0.2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**2 + 26. Let p be d(0). Let f be 30\/(-9)*1*3. Let t = f + p. Calculate the remainder when 31 is divided by t.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 10143*k - 10144*k for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 287, 294, 317, 362, 435, 542?\n\"Answer: q**3 + 2*q**2 - 6*q + 290","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 52526707 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -10*g**3 - 3*g**2 - 2*g - 1. What is the remainder when 18 is divided by h(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 - -8. Suppose 7*j - 3*j - s = 0. Let p = 9 + -6. Is j greater than or equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1703 in 1\/7, -4, 3, -1\/4, -2\/9?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -69*o + 1533. Determine z(22).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the first derivative of 0*j - 16 + 0*j**4 + 0*j**6 + 0*j**5 + 0*j**2 + 12\/7*j**7 + 5*j**3. What is the third derivative of w(s) wrt s?\nAnswer: 1440*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 74630?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4747\/11 + -427. What is the common denominator of -38\/11 and k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/165 and 243\/27 - (-370)\/(-48).\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 12 = -8. Solve 0 = 4*o - h - 5, -j*o + 3*h + 6 = -9 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4027 + 7989 - 3965 - 272*s**2 in the form l*s + t*s**2 + u and give t.\nAnswer: -272","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 7*v - 69 = 0. What is the remainder when 91 is divided by v?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26 divided by 4.\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 7 = 5*j, -j - 129 = -3*x - 134. Let r be (-9)\/10*(-15)\/18. Suppose 3\/2*b + 0 - r*b**j = 0. Calculate b.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 7, 13\/5, -0.14?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(-18))\/((-8)\/12)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 33.1 times -3?\nAnswer: -99.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2\/3 (b) 2\/19 (c) -5\/2 (d) 3\/469 (e) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.01 (b) 5\/2 (c) -21\/127 (d) 1\/6 (e) 3.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -5618199*p**3 - 8*p**2 + 9*p - 2. Let x be c(1). Round x to the nearest ten thousand.\nAnswer: -5620000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3.7, 2\/19, 7\/4, 0.4, 0.2 in decreasing order.\nAnswer: 7\/4, 0.4, 0.2, 2\/19, -3.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 6\/5 of a meter?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b + 10. Let z be v(5). Suppose z*t - 2*y + 4*y - 122 = 0, 14 = t + 3*y. Is t a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -86, -448, -1078, -1982, -3166, -4636, -6398?\nAnswer: -8458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from bdhgd.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 38.45, 3\/344, -2 in increasing order.\nAnswer: -2, 3\/344, 38.45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j - 7. Let p be f(-4). What is the lowest common multiple of p*(-1)\/(-1)*-3 and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1bc20b3 - -6?\nAnswer: 1bc20b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3388 - -941863\/278. Which is bigger: -1 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + (8 - 2) + -1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 67\/5 of a tonne in kilograms?\nAnswer: 13400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 10 = -0*f. Is (-97)\/(3\/(-1) - f) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9, 19, 21, 9, -23?\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 6*k**2 - 4*k**2 + 0*k**2. Let z(c) = -6*c**2 - 5. Let a(j) = 6*j**2 + 4. Let r(w) = 5*a(w) + 4*z(w). Give u(r(i)).\nAnswer: 72*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 735 and 27.\nAnswer: 6615","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y = -u + 39, -12382*y = -12383*y + 5*u - 75 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**3 - 2*x**2 + 7*x + 1. Let q be 15918\/4927 + 6\/(-26). What is y(q)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 167 = -115*w + 53. Solve n = w*n - 5*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -175, 608, 2755, 6956, 13901, 24280, 38783?\nAnswer: 58100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 38\nAnswer: -3\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -19\/4, -1, -4 in descending order.\nAnswer: -1, -4, -19\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (324\/24)\/((-21)\/5320000). What is l rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q + 9. Suppose 0 = 5*y - 5*m - 25, -y = -3*y - m + 16. Let p be w(y). Suppose 8 = p*c + 2*i, 2*c - 4*i - 1 = i. List the prime factors of c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in thirteen eighths of a microgram?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 37*v + 4011. Let h(y) = -51*y - 5348. Calculate -11*f(g) - 8*h(g).\nAnswer: g - 1337","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 k when three letters picked without replacement from vkmvm.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 + ((-4)\/26 - -2). Suppose -62 = -12*u - 38. What is the nearest to -2 in k, 3, u?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 + 9. Which is the nearest to 2\/5? (a) v (b) -1\/7 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1336269 and 429.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -4, 1815 in descending order.\nAnswer: 1815, 0.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 80102617 to the nearest integer?\nAnswer: 431","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.01 and -16.97?\nAnswer: -0.1697","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/6 - 88\/(-24). Suppose v - 5*v = -k, 5*i + v = 1. Suppose -4*d - 5*u = -62, 0 = -i*u - u + 2. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 652\/489 + (4 - (-167)\/(-33)*1).\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8671 - 8670.9. Let t be ((-1)\/(-1))\/((-1)\/4). Which is the fourth smallest value? (a) o (b) 1\/5 (c) t (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j = -33 + 13 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -137, -159, -185, -215, -249?\nAnswer: -287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2 + 912851*p**2 - 912850*p**2.\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(125) + 1 - sqrt(125)*-5)**2 - (((sqrt(140)*-2 + sqrt(140))\/sqrt(7))**2 - sqrt(20))) + 2.\nAnswer: 62*sqrt(5) + 4483","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the third derivative of i**4\/12 - 7*i**3\/6 + 2*i**2 - 353. Let n(m) = 1. Calculate 6*n(p) - x(p).\nAnswer: -2*p + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are 13191656\/3 and 4397219 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 10 - (9 - (5 + -6)). Let u(c) = 14*c - 6. What is u(d)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 39 - 38. What is the greatest common divisor of 8 and p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 386 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 10 = -7*w. Let s(j) = -29*j - 55. Let p be s(-2). Solve -x = p*z + w*x - 18, -4 = -2*z + 2*x for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 7 - w**2)*(5 + 7 + 4).\nAnswer: -16*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 236 = c + 237, 2*u + 2*c - 4 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12*j + 9*j - 2*j - 76 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*k = 14*k + 7. Suppose -11*c + k*c = 0. Solve 3*i + i = -5*g + 2, c = -3*i - g + 7 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 78*f - 1351. Is p(44) a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-d**3 + d**3 + d**3 + (d - 2*d + 2*d)*(-2*d**2 - 4*d**2 - 3*d**2))*(-5 - 2 + 3) in the form g + n*d**3 + y*d**2 + f*d and give n.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001197 to six dps.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -28 in 0.5, 6.5, -5\/4?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*i = 90*i - 412*i + 28480. What is the greatest common divisor of 10032 and i?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.04 in -2\/11, -2667, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(225) - (1*2*sqrt(225) + sqrt(225)))\/(sqrt(10)\/(sqrt(2)*-2)))\/(sqrt(576) + -2*sqrt(576)*2 + sqrt(576) + sqrt(576)*1*-2).\nAnswer: -sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -809 minus -51737095?\nAnswer: 51736286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 346 = 2*a, 5*i = -2*a - 1615 + 1241. Let m be (1 + -18)*(-4)\/(-1). Let t = m - i. Solve -4*q - t = 8 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 661.\nAnswer: 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*k**2 + 102*k**2 - 28*k**2 - 25*k**2 - 21*k**2.\nAnswer: 5*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the second derivative of 5*d**3\/6 - d**2\/2 - 4*d. Differentiate v(c) wrt c.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2953, 9, -0.778 in increasing order.\nAnswer: -2953, -0.778, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 368314034?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - 40 + 32 = c, 0 = q + 5*c + 40 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 8861153 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**3 - 8*c**2 - 3*c - 51. Let k be x(-8). What is the nearest to 0 in 1, 3\/5, k?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(-1\/3)\/k)\/k)**(-16\/7))**3*(k*k**(1\/2)*k\/(k\/(k*k**(-4)*k))*k*k)**(9\/5) assuming k is positive.\nAnswer: k**(187\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/4)\/(165\/(-40))*6\/(-4)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*z**4 + 0*z**4 - 5*z**3 - 2*z + 2*z**3 + 12*z**4 + 3*z**2 to c + u*z + a*z**3 + g*z**2 + s*z**4 and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -2.64 - -0.022817\nAnswer: -2.617183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 13\/4 of a millennium?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 10 = 2*m, 2*z + 3*z = -2*m + 1. Suppose -m*x + 1737 = -2712. Let s = 14911\/10 - x. Find the common denominator of s and 145\/18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-3)\/6)\/(2\/(-28)). Let c = o - 4. Let l = c + 0. Calculate the remainder when 4 is divided by l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 116*u + 1415. What is the lowest common multiple of 20 and q(-10)?\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -20, -0.04, 3\/5?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is two fifteenths of a day in minutes?\nAnswer: 192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = -5*y + y. Let d = y + 14. Solve k + 3 = -3*c - 2, -4*c + 4*k + d = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkcckcc. What is prob of sequence kkkc?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**3\/9 - 63*z**2 + 26696*z\/3 + 80656\/9.\nAnswer: (z - 284)**2*(z + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 6 = -3*c, -c + 18 = -u - 2*u. Let r(q) = -9*q. Let j(y) = -18*y. Let l(a) = u*j(a) + 11*r(a). Calculate l(1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -52 - -58. Suppose -1 + 5 = h. Calculate the highest common factor of a and h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7497 + 7497 + 15*l.\nAnswer: 15*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 7\/(49\/(-1736))*-4. Let d = -318 + 334. What is the greatest common divisor of u and d?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (64*k**3 - 145*k**3 + 69*k**3)*(8 - 8 - 6*k).\nAnswer: 72*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the third derivative of -h**7\/840 + h**6\/90 + h**4\/6 + h**3\/6 - h**2. Let v(u) be the first derivative of m(u). What are the prime factors of v(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 - (-2476)\/92 - 16.\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6727*d*l**2 - 3*d*l - 242381*d - 12*l + 22 wrt l.\nAnswer: -13454*d*l - 3*d - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -164005121 (base 7) to base 6.\nAnswer: -1035332002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 49 = q, 3*p + 731 = 5*q + 554. What is the remainder when 10788 is divided by q?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18610*z + 18582*z = -56 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 481, 353, 225?\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 - -2.17. Let y = 0.18 - u. Which is the nearest to 1? (a) -2\/19 (b) y (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/286 and 29\/182.\nAnswer: 2002","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 23660 and 16900.\nAnswer: 118300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) -2\/5 (c) 29494 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/((-1 - -5)\/(-1000)). Suppose -c = -n + 467. Suppose 5*b + 3*h = -0*h + n, 0 = 4*b - 4*h - 748. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5\/(15\/15953) + 1\/3.\nAnswer: 2, 2659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -277 - 95*q + 278 + 96*q. Let m(i) = 6*i - 7. Calculate m(a) - 4*y(a).\nAnswer: 2*a - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17273.0300175 - -17273. Let t = 0.03 + p. Round t to 6 dps.\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:04 AM and 11:33 AM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**3 - k**2 - k + 1. Let a(h) = -h - 5. Let v be a(-2). Let z be (6 - 3\/v) + -1. Suppose 4*j + m = 5, j - 3*m + 7 = -z*m. Give t(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a + 8*a + 4 + 3*a**2 - 17. Let s be 1431\/189 + (-3)\/14*-2. Is w(s) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -62\/57 and 113\/14754?\nAnswer: 280326","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 4*u + 82 = -74, 0 = 3*r - 2*u - 97. Does 22 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1334629 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 4*v + 25376 = 7720, g - 4411 = 2*v. What are the prime factors of g?\nAnswer: 7, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4257 is divided by 850?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 100202102111100 + 1120?\nAnswer: 100202102112220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oowswwoswos. What is prob of picking 3 s and 1 o?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -2*f + 1. Let h be a(-2). Suppose -h = -j - 4*j. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaj when three letters picked without replacement from oooojaoommaaamaooomo?\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 5, 8611, 1 in ascending order.\nAnswer: 0, 1, 5, 8611","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 126441 (base 7) to base 10\nAnswer: 23892","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9119 to the power of 1\/2, to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 188*k + 531 wrt k?\nAnswer: 188","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1951974 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 6*l - 10. Let m be f(2). Find the second derivative of 18*a**3 + m + 21*a**3 - 2 - 13*a wrt a.\nAnswer: 234*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18371, -9\/14, -0.2, -2 in increasing order.\nAnswer: -18371, -2, -9\/14, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -u + 48 + 42, 346 = 4*u - 3*w. Suppose -7*h + 21*h - 154 = 0. Calculate the greatest common factor of h and u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/((-20)\/70*-7). Solve 11*s + 4*s + 60 = j for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2.09 and 0.08.\nAnswer: -2.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 4*b + 4 = 0, 203*b = 3*w + 206*b + 6 + 15 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 25*a**4\/6 + 85*a**3\/6 - 1142*a**2\/3 + 1720*a\/3 - 224 = 0.\nAnswer: -12, 4\/5, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 406 and 724391.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 71537\/510 + -2452\/17. Find the common denominator of 43\/273 and d.\nAnswer: 2730","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -17*s. Let i(n) = -4*n**2. Determine q(i(j)).\nAnswer: 68*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 76*l**3 - 42*l**2 - l wrt l.\nAnswer: 456","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 503.97 + -507. Let p = 90.37 + -90. Let i = c - p. What is i rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:42 AM and 4:14 AM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**2 - 12*k + 14. Let m be j(11). Let l be -4*(-21)\/12*1. Solve -l*g + m*g + 8 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101*b + 51*b + 4 = -54*b. Suppose 23 = -4*d - 3*y, 33 = -4*d - 3*y - 2*y. Sort d, 2, b, -3.\nAnswer: -3, d, b, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 120 + 100*m + 70\/3*m**2 + 5\/3*m**3.\nAnswer: 5*(m + 2)*(m + 6)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 605573 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u - 4. Let a be (-16)\/(-6)*(-24)\/(-16). Let t be w(a). Suppose b - 2*c = -t*c, c - 12 = -b. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4410 and 7110?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54 + 5*s**2 - 118 + 64.\nAnswer: 5*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -8 - (-13 - -7 - -11)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 + -4. Let d be 2*(j + 0) + 0. Suppose -4*s = -v - 3*v + 4, 3*s = -d*v - 3. Solve -2*o + 3*h = -0*h, 5*o + 2*h = v for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-1) + 1 + -14 + (29 - 10). Let u(y) = -2*y**2 - 2*y - 5. Let s(n) be the first derivative of n + 7. Give l*s(j) + u(j).\nAnswer: -2*j**2 - 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25, 12, 3 in descending order.\nAnswer: 25, 12, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3\/4, -69, -1, 0.59?\nAnswer: 0.59","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -251*t + 1291. Determine s(5).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 4, w: 1, x: 2, b: 1, a: 1}. What is prob of picking 1 b and 1 x?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15254*a - 7634*a - 7620*a + 3*a**2 - 5*a**2.\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + p - 3)*(1 - 1 - 2) + p - p - 3*p + 28*p + 10*p - 57*p - 1 + 2*p + 1 + (-2 - 3 + 3)*(2*p - 4 + 4) to o*p + c and give o.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.3, -75\/8, -3, 2\/7, -50, -0.2, 2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -92332, -184664, -277018, -369406, -461840?\n\"Answer: -2*l**3 + l**2 - 92321*l - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes after 11:33 AM?\nAnswer: 5:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 796 + -769. Solve 25 = -4*k - k, -3*l + 3*k + g = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:45 AM and 11:24 PM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (5\/(-3))\/(5\/3 - 2). Suppose -h*w = -a, 5*a - 6*w - 21 = -2*w. Solve a*p = -16 - 4 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ao when two letters picked without replacement from naduonah.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1.119 (b) 7501 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (-1 - 1) + (-3 - -6).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2344 - 5323. Let f = 47709\/16 + c. Find the common denominator of 33\/10 and f.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*l**2 - 125768*l - 754536 = 0. What is l?\nAnswer: -62878, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -19 divided by 363\nAnswer: -19\/363","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 e when three letters picked without replacement from {e: 1, x: 9, j: 9}?\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 323 divide 6050759?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:42 AM and 2:20 PM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 353*12\nAnswer: 4236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -594 - -598. Let l be (203\/4)\/(-7) - (-2)\/8. Put 2, l, x, 3 in decreasing order.\nAnswer: x, 3, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 5*j + 405 = 0, -3*j = j + 8. Let s = 288 + -196. Let v = w + s. What is the highest common factor of 12 and v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -311, -354, -385, -398, -387, -346, -269?\nAnswer: -150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000764 rounded to six dps?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1581650 and 350?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.3, -0.2, -6\/19, 3\/2, 10, -1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7, 3, -3, -11, -21, -33, -47?\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k + 64 = -97. Let i = 8 - k. What is the common denominator of -42\/11 and (-200)\/i*3\/(-12)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 259437?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (15\/(-1))\/(-119 - -114). Put -4, 1, d, 0 in decreasing order.\nAnswer: d, 1, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 24 = -4*z, -3*s + 19*z = 14*z - 30. Factor -1\/6*g**2 + s*g + 2\/3.\nAnswer: -(g - 2)*(g + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 >= -1\/762382?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 419 + 4?\nAnswer: 421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 2 c when three letters picked without replacement from qzgoczgzoggcbbqzco.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-61 + 18 - -18) + -2.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -517860 and 2?\nAnswer: 517862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 823262 to the power of 1\/2, to the nearest integer?\nAnswer: 907","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**2 - 2*c - 2. Let r(g) = g**3 - 16*g**2 + 16*g - 11. Let t(k) = k**2 + 7*k - 3. Let h be t(-9). Let d be r(h). Calculate n(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 + -7 + (7 - 3). Solve -7*a = -s*a + 14 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 118182.\nAnswer: 2, 3, 19697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**3 + 3*n - 3. Let p be f(-3). Suppose -4*z + v = -91, -2*v - 52 = -3*z + p. Calculate the remainder when 67 is divided by z.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 3*n + 2. Let t(m) be the third derivative of -m**4\/6 - m**3\/2 - m**2. Let r(d) = -6*k(d) - 5*t(d). Let j be -3*-2*1\/(-2). What is r(j)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**3 + 28*l**2 + 83*l + 266. Calculate u(32).\nAnswer: -1174","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*f - 2*p - 172, p = f - 2*p - 815 + 846 for f.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 35137 and 13876544.\nAnswer: 857","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*a**3*r**3 + 12*a**3*r - 65236071*a*r**3 + 7729*a*r**2 - 461*a*r wrt r?\nAnswer: -12*a**3 - 391416426*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 123117 is divided by 30774.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -18, 0, -21, 92, -5 in descending order.\nAnswer: 92, 0, -5, -18, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*((u*u**(-2\/5))\/u)\/u*u)**11\/(((u**(-7)*u)\/u)\/(u**0*u)) assuming u is positive.\nAnswer: u**(73\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gppp when four letters picked without replacement from epeggppppgepppeepee?\nAnswer: 21\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -2*j**3 + 5*j**2 + 4*j - 4. Give g(4).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 + 8. Suppose c - 72 = -4*c - l*g, -g + 59 = 4*c. List the prime factors of c.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 234 and 169.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 - 3*s**3 + 0*s**3 + 11 - 1.\nAnswer: -3*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/258 and -5 - (-301)\/(-378)*3.\nAnswer: 774","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14*g*i**2 - 77*g*i - 76*g + 689*i**2 wrt i.\nAnswer: -28*g + 1378","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-1008)\/(-1200)*-5)\/(7\/(-40))\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + m - 915 = 0, -m - m - 10 = 0. Let z = -31 - q. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 88151 is divided by 88149?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(931) - (sqrt(931) - -1*sqrt(931)) - (sqrt(19) + -5 + (sqrt(304) - sqrt(19))))*-4)**2.\nAnswer: -1760*sqrt(19) + 37184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 149.05 - 3104?\nAnswer: -2954.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(-4)*((-18)\/245 + (222\/(-147))\/37).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20023000111 (base 4) to base 3.\nAnswer: -11000211120211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 + (-35)\/(-14))*2. Suppose -2*t = -c - 0*t + 5, 35 = -4*c - a*t. Let o be (-1)\/(-2) + 0\/1. Put c, o, -0.1 in increasing order.\nAnswer: c, -0.1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 30 and 225.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*o**3 - 33*o**3 + 7*o**3 + 15*o**3.\nAnswer: 4*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -365, -2514, -8277, -19460, -37869, -65310, -103589?\nAnswer: -154512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 259996?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 52\/5 - 193\/20. Let i = -26 + 13.6. Let d = 12 + i. Which is the biggest value? (a) -4 (b) n (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1146, 1568, 2280, 3288, 4598, 6216, 8148?\n\"Answer: b**3 + 139*b**2 - 2*b + 1008","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5809273713.\nAnswer: 3, 645474857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 181110602.\nAnswer: 2, 23, 3937187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 + -4. Let r = -3\/2 + 9\/10. Let y(j) = j**2 - 3*j. Let u be y(3). Which is the nearest to u? (a) r (b) -2 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 34818, 69632, 104446, 139260, 174074, 208888?\n\"Answer: 34814*t + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -50\/6477?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 71880\/(-15574)*234\/(-45)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is (4 + 18\/24)*3728 - -1 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(3240) + sqrt(3240)*3)\/sqrt(8) + 2).\nAnswer: -36*sqrt(5) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 98*w**3 + 6*w**3 + 213*w**3 - 9*w**3.\nAnswer: 308*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/442 and 91\/782?\nAnswer: 10166","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 4*t = 8, -3*y + 3*t - t = -9. Suppose y + 3 = l. Let f(x) = -x**3 - x**2 + 4*x + 4. Let g be f(-3). Solve l*z - g = 2 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/(h**(-7\/2)\/h))\/h)\/(h\/((h**6*h)\/h)))\/(h**(3\/7)*h**(2\/25)*h*h) assuming h is positive.\nAnswer: h**(2447\/350)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**2 + 4*f - 3. Let r be y(-5). Let k = -11 + 16. Suppose 0 = m - r - k. List the prime factors of m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 153 + 144316?\nAnswer: 144502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1998276 is divided by 883?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 9*x = -7*x + 47700, 5*j - 2*x = 79500. Round j to the nearest 1000.\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*g - 97*g + 49*g.\nAnswer: -17*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 740 + -660. Suppose -28 = -x + 2*f, 3*x + 2*f - 6*f = h. Suppose -6 = -l + 3. Calculate the greatest common factor of x and l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/9 + 77\/(-84))*12*-2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1845038407?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -5 (b) -0.1 (c) 0.3 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -111691, -111644, -111597, -111550?\n\"Answer: 47*s - 111738","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(-1\/2)*t)\/t*t)**(1\/7))**(-24)\/(t**(-5)\/t**(-8)*(t\/(t**(-1\/4)*t))\/t**(-3\/5)) assuming t is positive.\nAnswer: t**(-779\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -5*u + 4*u + u**2 - 3*u**2 + 3*u**2. Let s(i) = -i**4 - 2*i**3 - 3*i**2 + 6*i. Let z = 7 - 8. Let g(p) = z*s(p) - 4*m(p). Factor g(y).\nAnswer: y*(y - 1)*(y + 1)*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/373116 and 141\/38080.\nAnswer: 208944960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 332.22 - 330. Let i = 1.22 - q. Which is the nearest to i? (a) 4 (b) -2 (c) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d. Let k be (9\/(-6))\/((-1)\/(-4)). Let l(n) = -n**2 - 6*n. Let u(h) = 3*h**2 + 13*h. Let p(x) = k*u(x) - 13*l(x). Determine p(z(b)).\nAnswer: -5*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -687.6757 rounded to the nearest integer?\nAnswer: -688","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 i, and 1 r when three letters picked without replacement from {i: 1, e: 6, r: 7, p: 6}?\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.09 at least as big as 852?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 2 + -5 + 4 + -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 377 + -260. Suppose -5*j = -78 + 13. What is the greatest common factor of j and p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -27 in 7.7, -2\/9, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4124359 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1727*j + 505*j + 1304*j.\nAnswer: 82*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, -0.14, 0.9, 10 in ascending order.\nAnswer: -0.14, 2\/7, 0.9, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 16, -3, 2, 14 in decreasing order.\nAnswer: 16, 14, 3, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bdz when three letters picked without replacement from {t: 1, d: 2, z: 1, j: 2, a: 1, b: 1}.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 5*i - 16, -3*z + 2*i - 16 = 3*i. Let d(r) = 3*r + 9. Let x be d(z). Let s = -6 + x. Do -15 and s have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w + 5. Let l be i(0). Let v be -9 + 6 - (-3 - 0). Let t be 4 + -1 - (v - -2). Solve l = -b + t for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.28 - 2.2. Let j(v) = 7*v**2 + 16*v + 6. Let x be j(-3). Which is the biggest value? (a) 0.5 (b) s (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -2*i**2. Let d(p) be the second derivative of -p**4\/8 + 15*p**2\/2 - 16*p. Let q(y) be the first derivative of d(y). What is q(v(t))?\nAnswer: 6*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(360)\/(sqrt(99)\/(sqrt(176) + sqrt(11))))\/(sqrt(16)\/(sqrt(2)*-2) - -2*sqrt(128))*6.\nAnswer: -3 + 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -973, -2012, -3073, -4168, -5309, -6508?\nAnswer: -7777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-32)\/6*(-144)\/96\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 118449 and 13407.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 47523 * 480.\nAnswer: 22811040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24 and 4.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -118 + 120. Let k(r) be the second derivative of -1\/15*r**3 + 1\/50*r**5 + 0*r**4 - 3*r + 0*r**j + 0. Suppose k(t) = 0. What is t?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6.44 - 7.47. Let l = -2.97 - -3. Let w = c + l. Which is greater: w or 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that q**4\/5 + 10977*q**3\/5 - 164898*q**2\/5 - 197824*q\/5 + 351744\/5 = 0.\nAnswer: -10992, -2, 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 4*t**2 + 5*t + 3. Let f be q(-3). Suppose 2*c = 3*j + j - f, 4*c = -2*j + 2. Let d = -27298 - -27297. Sort c, d, -4, 1 in increasing order.\nAnswer: -4, c, d, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 609094861 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*t**3 + 52058*t**2 + 59*t + 381030611.\nAnswer: 6*t**2 + 104116*t + 59","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g - g + 14 = 0. Suppose g*f + 4*k - 16 = 0, 2*f - 2*k - 16 = -0*k. Calculate the smallest common multiple of 9 and f.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 209081413.\nAnswer: 37, 101, 55949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 102 = -3*u. Let y be u\/((-2)\/(-3) - (0 - 0)). Let b = 217 - y. List the prime factors of b.\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, x: 1, s: 1}. What is prob of picking 1 x and 2 a?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(99)*1*5 - 6*-1*sqrt(99)))\/(4*(sqrt(1296) + (sqrt(1296) - sqrt(1296)*1*-5) + sqrt(1296))))**2.\nAnswer: 1331\/36864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8754460?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 276\/230*10\/4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 331348379 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/4, -8, -3\/4, -375 in decreasing order.\nAnswer: 3\/4, -3\/4, -8, -375","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**2 - 6*z - 2. Let b = -58 + 60. Let g be -2 + 2 + -1 - -6. Suppose 0 = -g*n - b - 18. Calculate k(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8588287007 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3, 1, 0.4, 3\/7, -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(30)*3 + sqrt(30) + sqrt(30))\/(4*sqrt(6)*-1))**2.\nAnswer: 5\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 108 = 4*r. Suppose -2*p - 156 + r = 0. Let d = -7 - p. What are the prime factors of d?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the third derivative of 215*y**8\/48 + 26*y**5\/3 + 2539*y**2. What is the third derivative of f(q) wrt q?\nAnswer: 90300*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -241.80693 times 1?\nAnswer: -241.80693","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the third derivative of 41*p**7\/105 + 7*p**6\/120 + 1021*p**5\/12 - 3270*p**2. Find the third derivative of r(v) wrt v.\nAnswer: 1968*v + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24948125 to the power of 1\/4, to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 + 14\/(-8))\/((-819)\/312). Is o at least 2\/689?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2310 (base 5) to base 8\nAnswer: -512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 43*j**2 - 191*j - 824. What is f(7)?\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5*(-6)\/(-3)*10\/25. Suppose 0 = -z*m + 2*m + 460. Suppose 0 = -l + 3*l - m. What is the greatest common factor of 23 and l?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(931) + sqrt(76)\/(-3*sqrt(4)) + sqrt(19))**2.\nAnswer: 92*sqrt(19)\/3 + 10087\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**2 + 564*j + 813483. Give t(1227).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.43 from -31.808172063.\nAnswer: -32.238172063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-5))\/((-12)\/(-30)) - 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -52, -824, -1596, -2368, -3140, -3912?\nAnswer: -4684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 0.2, 10, -2\/5, 5, -15.\nAnswer: -15, -2\/5, 0, 0.2, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (6 + -4 - 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11*y**3 - 33*y**2 - 2*y + 37990.\nAnswer: -33*y**2 - 66*y - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -411b (base 13) to base 10\nAnswer: -8981","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -0*j - 3*j + 9, 2*t = -4*j + 12. Let k be (28\/4)\/(1 - t). Which is smaller: 8 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 431131?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 3, -4, -2\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1507950.57 rounded to the nearest 100000?\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -979984*i + 4686 = -980197*i for i.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -14813374*w - 12595517 wrt w.\nAnswer: -14813374","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.07, -2, -9 in descending order.\nAnswer: 0.07, -2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*a**2 - 5*a**2 - 88*a + 249*a + 0*a**2 - 161*a.\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s = -s - 4*x + 10, -x = -3*s + 5 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1002*c**2*v**3*w + 4*c**2*v**2*w**2 + 76*c**2*v - 326396*c*v**3*w**2 + c*v**3*w wrt w.\nAnswer: 8*c**2*v**2 - 652792*c*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -3 - (1 - 2 - 0)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times 102346\nAnswer: -40938.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -509431.88 to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-4)\/14)\/(1\/(-7)). Suppose -3*g - 4 = 4*j, 5*j + 24 = n*g + j. Calculate the remainder when 10 is divided by g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3158 is divided by 233.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4\/2)\/(2\/3). Suppose 4*i = m - 24, -10 = 3*i - 2*m + 8. Let f be 1*((-8)\/4)\/(-2) + i. Sort h, f, 1.\nAnswer: f, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 62 + 13117?\nAnswer: 13179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.01 + -0.21. Let s be 91\/273*(1 - 3). Which is the nearest to s? (a) 1\/6 (b) -2\/3 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8875, -13161, -17457, -21769, -26103, -30465?\nAnswer: -34861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a + 4 = -7*a. Let i be 26\/7 - (-2)\/7. Suppose -3*g = i*h - 3, -5*g - 9 = -2*g. Solve -h*k - a = k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from chcccccc. Give prob of picking 1 h and 3 c.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -4*o - 2. Let c(r) = -11 + 11 + r**o. Let f(y) = y**2. Let j(l) = 16*l**2. Let m(k) = 12*f(k) - j(k). Determine m(c(u)).\nAnswer: -4*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - (1 + sqrt(3)))*4 - (sqrt(48) + 2).\nAnswer: -4*sqrt(3) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 252*k + 138*k - 7020 for k.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -7*u**3 - 11*u**2 + 2*u - 3. List the prime factors of h(-8).\nAnswer: 2861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 9 + ((-2)\/8 - 44\/16). Let w be 22\/4*((-12)\/s - -4). Suppose -43 = -2*v - w. Calculate the least common multiple of v and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 88\/20 + 4\/(-10). Suppose -y*t + 3*s = -133, -s + 96 = 3*t - 2*s. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3864*m**2 + 2000*m**2 + 1944*m**2.\nAnswer: 80*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21*n - 4*n - 240 - 15*n)*(-4*n**4 - 2*n**4 + 4*n**4).\nAnswer: -4*n**5 + 480*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 52367 divided by 27?\nAnswer: 52367\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 388 = -10*i - 5*g - 3827, -4*i - 1689 = -g. Sort -5, 2, i, 3.\nAnswer: i, -5, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 - (-12)\/(-45) - 5*35\/125. Let l(k) be the first derivative of -4*k**2 + 17 - 2*k - m*k**3. What is l(-4)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13.47453 - -0.24247. Let d = 13.8 - c. Round d to 2 decimal places.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 106, 223, 340, 457, 574?\nAnswer: 691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a + 3*y + 2, -4*a + 7*a - y - 6 = 0. Suppose a*r + 3*r = 55. Does 4 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -109 + 112 = k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 422*r - 3*r - 37*r + 346*r.\nAnswer: 728*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**5\/h)\/(((h*h**(-3))\/h)\/h)*((h\/(h*h\/h**(-3)*h*h))\/h)\/h**(-2\/19) assuming h is positive.\nAnswer: h**(21\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1048, 2526, 4992, 8446, 12888?\nAnswer: 18318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -12\/331?\nAnswer: -12\/331","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1335067 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2659533.\nAnswer: 3, 886511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the first derivative of -7*a**4\/4 - 9*a**3\/2 - 3*a**2 + 2*a - 3. Let c(z) be the first derivative of p(z). Factor c(t).\nAnswer: -3*(t + 1)*(7*t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -12, 18 in descending order.\nAnswer: 18, 0, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 1219430?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -189*j - 7434 + 113841. What is the remainder when j is divided by 174?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 1264, -7, -3, -5 in descending order.\nAnswer: 1264, 6, -3, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -42, -80, -118?\n\"Answer: -38*w - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15535 is divided by 141?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p + 4*p**2 - p**2 + p**2)*(2 - 2*p - 2).\nAnswer: -8*p**3 + 2*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 63168 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the third derivative of -h**10\/45360 - h**9\/22680 + 5*h**4\/24 + 5*h**2. Let w(i) be the second derivative of r(i). Find k, given that w(k) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of j**3\/3 + 3*j**2 + 7*j - 2. Let k be f(-5). Suppose -k*q + 38 = 4*o, -o = 2*o - 9. What are the prime factors of q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 7*h - 8. Suppose -t = -6*t + 10. Let i(k) = 8*k + 3*k + 1 + t*k - 16. Calculate 6*i(x) - 11*s(x).\nAnswer: x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - 5*q + 911, z = 3*q + 137 + 806. Suppose 5*j - 2014 = z. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-63)\/(-6))\/(1\/(-2)). Let s = x - -26. Let r be (-13*2)\/(15\/((-60)\/8)). Solve s*t + r = 4*q, 3*t + 3*q = 2*q - 1 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n = -61 + 61. Suppose n = 2*f - h + 1 - 0, -4*h = 4*f + 20. Let g be (0 - -1 - 2)\/(f\/34). Solve -3 = -5*y + g for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -10*b**3 - 15*b - 11. Suppose -4 = -4*d, -3*z - 3*d - 13 + 34 = 0. Let a(t) = -5*t**3 - 8*t - 6. Calculate z*w(h) - 11*a(h).\nAnswer: -5*h**3 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) -3\/29 (c) 17\/5 (d) -3\/5 (e) -0.1 (f) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**3 + 5*v**2 + 4*v + 2. Let b be x(-4). Suppose b*y - 14 = 42. What is the smallest common multiple of y and 12?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 142233 is divided by 5689.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 8 = 3*x, -4*x = 5*g - 0*x + 43. Let i = 7 + g. Suppose w + 5*d + 3 - 4 = i, 4*w - 19 = -5*d. What is the remainder when w is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 4\/3 of a minute?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, b: 1, y: 1}. Give prob of picking 1 b and 1 w.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 22248 and 0.11.\nAnswer: 2447.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 2 = -8. Suppose 5*i - i - 4*c = 0, -a*c = 0. Solve -14 = -2*t + 4*d, -7 = 2*t + 3*d - i for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -615*g**3 + 24590*g**2 - 245600*g - 4000.\nAnswer: -5*(g - 20)**2*(123*g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20201*b + 40359*b - 20158*b + 5*b**2.\nAnswer: 5*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -166704 = 45*k - 69*k. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i = 41211\/5 + -8241. Let y(t) be the first derivative of -18\/5*t + 10 + i*t**2 + 8\/5*t**3 - 6\/25*t**5 - 3\/5*t**4. Find a such that y(a) = 0.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/(-12) - 100\/16. Let v be 3\/a*-2*-7. Let k(x) = x + 17. Calculate the remainder when 98 is divided by k(v).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**3 + 6*k**2 - 3*k - 11. Let y be d(5). Which is the nearest to -0.2? (a) -3 (b) 3 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20768000 rounded to the nearest 100000?\nAnswer: -20800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66 - 204 - 2*x + 88 - 117 - 247 + 23.\nAnswer: -2*x - 523","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*i + i + 7*i + 2*i - 21*i + 1.\nAnswer: -4*i + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + 8 = 0, 4*n - z - 5 = -3 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 294147 to the nearest integer?\nAnswer: 542","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 502*n - 305*n + 146 = 540 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 20990 = -0*d + 2*d, 2*d = -3*f + 62938. Let a = f - 10492. Let n = a - 14990. What is n rounded to the nearest one thousand?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**3 - 33*m**2 + 82*m - 49. Is r(37) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 20*i. Let x(l) = -8*l + 6. What is x(m(b))?\nAnswer: -160*b + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1974488041 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6.87 - 6.37. Which is the biggest value? (a) -9\/5 (b) -187\/5 (c) r (d) -4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 332, 330, 328?\n\"Answer: -2*a + 334","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the third derivative of 11*k**4\/24 + k**2 - 5. Let w(x) = -x + 1. Let n(d) = -2*d + 2. Let j(i) = 6*n(i) - 11*w(i). Let s be j(0). What is f(s)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.0582 - -5.0582. Let s = 9 - 8. What is the second smallest value in z, -3\/22, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1270*g + 72*g - 410*g - 374*g.\nAnswer: -1982*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21491 - v**2 + 10725 + 10741.\nAnswer: -v**2 - 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 761601?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o + 22. Let h be n(-17). Let x(u) be the first derivative of -u**4\/4 + 2*u**3 - 3*u**2\/2 - 2*u + 801. Give x(h).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggtgtggt. Give prob of picking 2 t.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 134 - 3100?\nAnswer: -2633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -11, 84, 1, 275, -5, -4 in decreasing order.\nAnswer: 275, 84, 5, 1, -4, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1*45*16\/(-40). Let y = r + -26. List the prime factors of (-110)\/(-8) - 2\/y.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 866 - 32ab10?\nAnswer: -32a266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2 and 0.29953.\nAnswer: -1.70047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y = 3*g - 31 + 10, -y + 8 = -6*g - 0 for y.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let y = -87291\/22 - -3967. Let m be 382\/6 - (-4)\/12. What is the common denominator of y and (42\/(-5))\/(m\/(-30))?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1872)*-1*-6 + 6*2*sqrt(1872) + sqrt(1872))\/(((sqrt(96)*-2)\/sqrt(6))\/(sqrt(128)\/sqrt(8))).\nAnswer: -114*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**3 - 7*g**2 - 3*g - 4. Let p be i(-6). Let k be 2\/(-6)*(p + 25). What is the nearest to 2 in -5, -2\/7, k?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -30, -2, 5, -13, 2 in increasing order.\nAnswer: -30, -13, -2, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 8 = -0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/202, 0.2, -0.11, 52\/9, -1, -0.5, 11?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3) + 1)*2 - (sqrt(432) + -1))*6 + (2*sqrt(147))**2 + -2 + 1.\nAnswer: -60*sqrt(3) + 605","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**3 - 57*j**2 + 61*j + 169. What is n(-58)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 + 0 - (1 + 55). Suppose 4*v = -7 - 9. Is v*(j\/4 + 1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 45 - (-9731990)\/(-221255).\nAnswer: 2\/137","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k = -i - 23, -7*i + 64 - 69 = -2*i + 2*k for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 12.05781 and 5?\nAnswer: 7.05781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*d + 23*d + 33*d + 81*d.\nAnswer: 177*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 25 (b) -4 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-2*(1 + (sqrt(77) - sqrt(77)*-4 - sqrt(77))\/sqrt(11) + -3*(-1 + sqrt(252))))**2.\nAnswer: -448*sqrt(7) + 5552","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -33, -112, -237, -402, -601, -828, -1077?\n\"Answer: b**3 - 29*b**2 + b - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 28 = -3*d, 4*d + f - 14 = 2*d. Let k be 0\/(-1) + (-1 - -1). Suppose 2*w - d = k, -4*w = z + 5 - 96. Does 17 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/6*4*(-1160)\/(-10). Let t = s + -181. Does 8 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3845 + -3774. Solve 0 = -33*x - u - 94 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*r + 5280 = 7*r. Calculate the highest common divisor of r and 66.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**3 - 7*p**2 - 7*p + 96. Let j(u) = -u**3 - 5*u**2 - 5*u + 64. Give 7*j(b) - 5*n(b).\nAnswer: -2*b**3 - 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/(18\/4) + (-25948)\/(-12). Suppose -7*d = -t - 63. Suppose 4*n - 12 = -5*r + 522, 3*r = -3*n + d. Is 22 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*f - 15924*f**3 - 2*f - 88250*f**3.\nAnswer: -104174*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e when three letters picked without replacement from {g: 6, e: 4, f: 1}.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 88 - 125. Let g = -9 - r. Does 9 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 - -10000001?\nAnswer: 10000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1df - -bed?\nAnswer: dcc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mw when two letters picked without replacement from {w: 10, q: 2, m: 3, d: 2, l: 3}.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2800*b*h - 7325*b - 434*h + 296601 wrt b.\nAnswer: -2800*h - 7325","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67639?\nAnswer: 11, 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 335*q**2 + 14*q + 9. What are the prime factors of a(-1)?\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 969*b - 914536 = -885466 for b.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 281*y = -7*y + 3168 for y.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - 0*d + 3*d + 45, 3*d - 35 = 5*b. Let m be -2*((-1085)\/b)\/7. Let c = m - -34. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 122*t**3 - 318*t**3 + 142*t**3 + 213*t**3.\nAnswer: 159*t**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -2) + (-149 - -157) + 2\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 368365 - 5*h**2 - 368365.\nAnswer: -5*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(130) - (2*sqrt(130)*6 - sqrt(130)))\/(sqrt(20)\/(sqrt(2)*2)).\nAnswer: -20*sqrt(13) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-16\/5)\/r)\/(r**17\/r)*r\/(r*r**(-22))*r\/(r**(-6\/7)*r))**(2\/69) assuming r is positive.\nAnswer: r**(62\/805)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 161068901 to the nearest integer?\nAnswer: 544","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**2 + 7*x - 4. Let j(r) = -r**3 + 5*r**2 - r - 4. Let y be j(2). Let d be s(y). Suppose 4*z + d*z = 2406. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 - -71. Suppose -2*h = -10, 0*a - 5*h + c = 4*a. List the prime factors of a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2*(-194)\/(-12) - (-22)\/(-66). Let r be (0*(-2)\/4)\/(-2). Suppose 4*q - l = 3*h, -4*q - 4*h = -r*h - 32. Calculate the remainder when 21 is divided by q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 179 - 167. What is the greatest common factor of 3 and o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1753.4 - 1753.4. What is the biggest value in -1\/9, r, -3, 2, -0.06?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 39472?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.2, -5, -18, -0.4, -3?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 46327?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q**(-8\/7)*q)\/q)\/q*q*q\/(q\/(q*q**8)))**(-29)\/(((q*q**(-3\/2))\/q**(2\/3))\/((q**3*q)\/q**(-4\/3))) assuming q is positive.\nAnswer: q**(-3505\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - (2 + -7 + 4 + -2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84 - 262 = -v. Let n(x) = 178*x - v*x + 2*x**2. Let z(a) = -8*a. Determine z(n(o)).\nAnswer: -16*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -39 + 183. Suppose -x - q = -9*x. What is the highest common factor of x and 198?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, e: 4, t: 2, n: 2, f: 2}. What is prob of picking 1 e and 1 n?\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 15877 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3793644286 to the power of 1\/3, to the nearest integer?\nAnswer: 1560","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 198\/(-3)*(-2)\/4. Let b be ((-12)\/(-16))\/(y\/8). What is the second biggest value in -1, b, 0.4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 181*y**5 - 2*y**2 + 5*y - 5 wrt y?\nAnswer: 3620*y**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -316\/11 - -1791\/88. Find the common denominator of 89\/4 and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s*s**(-2)))**23*s*s**(-19)*s**(2\/27) assuming s is positive.\nAnswer: s**(758\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-18))\/(4*(-2)\/(-72))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes before 4:37 AM?\nAnswer: 6:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/3 (b) 1\/128 (c) 0.18 (d) 5 (e) -3 (f) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2\/7 + -13\/21. Which is the closest to 1? (a) -4 (b) -0.4 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.2 + -0.1. Let v = 90682565\/92736 + -5\/92736. Let o = -978 + v. Which is the closest to g? (a) o (b) -0.1 (c) 0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.8081326 months in years?\nAnswer: 0.23401105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**2 - 3*w - 1. Let u be 3 + ((-2)\/(-1))\/2. Let v be q(u). Solve -y + 2*j = 2*y + 10, -v*y - 5*j = 17 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10000111101111000111 - -1001100011?\nAnswer: 10000111111000101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -111, 0.4, -4.2, -3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:02 AM and 4:17 AM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0.1, 0.4, -0.22 in increasing order.\nAnswer: -0.22, 0.1, 0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -5*k - 65, -k - k + 298 = 5*a. Suppose 0 = 4*f - a + 20. Suppose 2 - f = -w. What is the remainder when w is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -9*k + 40. Let h = -311 + 300. What is the hundreds digit of x(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7.9700030664 - 7.97. Round a to seven decimal places.\nAnswer: 0.0000031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -48 (b) -2\/9 (c) -1\/29 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 - 6194*y**3 + 0.\nAnswer: -6194*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-16)*y**(-1\/5)*y*y*(y*y**37)\/(y\/y**25) assuming y is positive.\nAnswer: y**(239\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29174141, 29174142, 29174143, 29174144, 29174145?\nAnswer: 29174146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 404 - -315. Suppose 2697 = 23*l + g. What is the tens digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -1 + 2 + 1 + -1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 26053645 and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -b8 - 3a48?\nAnswer: -3b22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.252 * -0.3\nAnswer: -0.0756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 3, q: 1, f: 5, d: 1}. Give prob of picking 3 f and 1 w.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**2 - 26*a - 31. Let z be n(31). Let t = -334 + 460. Is z greater than or equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1649364 and 1464.\nAnswer: 201222408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6012 is divided by 5788.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.06, 0.1, -10\/11, 0.4, 0.3 in decreasing order.\nAnswer: 0.4, 0.3, 0.1, -0.06, -10\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 2*l - 24 = 0, 3*l - l = -2*q + 6. Suppose q*n - 124 = 11. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -4*t - 11. List the prime factors of -9*(6\/t + 0).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 5*l - 2*x - 146, 3*l - 82 = 2*x. Suppose 2*w - 5*j - 36 = 0, 3*j = -5*w - 2 + l. Calculate the greatest common divisor of w and 88.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -31487\/378 - -833\/10. Let w(o) be the third derivative of 0*o**6 + 0*o**3 - 1\/270*o**5 + 0 + 0*o**4 + z*o**7 + o**2 + 0*o. Factor w(c).\nAnswer: 2*c**2*(c - 1)*(c + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1043 (base 5) in base 16?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 3)*(19 - 26 - 54)*(0*i + 0*i - i**3 - 1 - 2*i**3 + 1 - 2*i**3 + 3*i**3 + 0*i**3 + (-2 + 2 + i**2)*(-2*i + i + 3*i) - 2*i**3 + 1 - 1).\nAnswer: 244*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 5*x + 8. Let p be 3\/(-20)*(-16)\/x. Let t be -2 - (-1)\/((-2)\/(-2)). Which is smaller: t or p?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 9373677815?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/567 and -32\/6615.\nAnswer: 19845","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + a + 4)*((-1 + 1 - 2*a)*(-a + 4*a - a) + 8*a**2 + 8*a - 8*a).\nAnswer: 4*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from ttuuuutuuutt.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 l, 1 y, and 1 r when four letters picked without replacement from bmbbblmry.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 5 (b) 2.7 (c) -20 (d) -1\/6 (e) -0.5 (f) 4 (g) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(4\/13))**(-38) assuming v is positive.\nAnswer: v**(-152\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:12 AM and 11:40 AM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddf when three letters picked without replacement from {k: 1, f: 1, r: 1, q: 2, l: 2, d: 2}?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21199?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-119 + 55 - -32) + 3?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 249363966 and 860?\nAnswer: 2493639660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -272\/417 - 2\/139. Let u = 934.27 - 936. Let c = 8.27 - u. What is the closest to -2 in k, c, -0.1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (10 + 19 + 57)*(56 - 56 + p - 180) to the form j*p + a and give a.\nAnswer: -15480","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -98.54043 - -0.52933. Let d = 70 - 168. Let m = d - b. Round m to three dps.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dvoodvbvobbvbvv. What is prob of picking 1 d and 2 v?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*z + 618 + 86 = 17*z for z.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 111*g + 87*g - 113*g + 4 - 4 + g + (0 + 0 - 2*g)*(-5 + 2 + 1) - 2 + 2 + g + 1 - g - 1 + (-2 - 1 + 1)*(3*g - 5*g + 0*g) + g + 2*g - g.\nAnswer: 96*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 7653 + 6*f**3 - 7572 - 5*f**3 - 35*f + 28*f**2. What is the thousands digit of i(-28)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1296.89 - -1291. Round r to 1 decimal place.\nAnswer: -5.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -1 + 232*f + 2 + 106*f - 19*f. Let t be x(1). Suppose -3*i - t = -7*i. What are the prime factors of i?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9091669 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 58092 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 3 = -2*u. Let q = 14 - u. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2466*b**3 + 6 - 4 - 2706*b**2 - 1025*b**3 - 1113*b**3 - 5*b**4 wrt b.\nAnswer: -120*b + 1968","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/10)\/((34750\/(-16875))\/139).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 16198 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 8 + 77. Suppose d = 2*u - 73. Does 17 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -171, -0.2, 1\/6, 2\/5, -3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z = 56*g - 59*g + 81, -z - 23 = -4*g for z.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -2*w**2 - 1. Let b(x) = -30*x**2 - 3*x + 134 + 3*x - 181. Let r(g) = b(g) - 2*m(g). Differentiate r(s) with respect to s.\nAnswer: -52*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**3 - 16*k**2 - 22*k + 173. Give z(-14).\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-40 + 16 - -1 - -21)*(-26)\/4 + -9.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 113409?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8414*v**3 + 6580*v**3 - 4082*v**3.\nAnswer: 10912*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2*(-2)\/(-2))\/((-23)\/((-1242)\/351))?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11231312.00047 - 11231247. Let q = -4 + -61. Let j = v + q. Round j to 4 dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 330600 = -2*g, -w - w + 3*g + 165304 = 0. Suppose -59351 = -5*v + w. What is v rounded to the nearest 1000?\nAnswer: 28000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -290*i + 46167 = 81*i + 174*i - 5608 for i.\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/19 (b) -79\/5 (c) 2\/137\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r - 57 + 153. Suppose -3*p - 3*s = 30, -2*s + 3*s = 0. Find the common denominator of (1\/r)\/((-2)\/p) and -119\/20.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7177000 rounded to the nearest one hundred thousand?\nAnswer: 7200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1957207 is divided by 160.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4 and 442756?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5115160 (base 7) to base 10.\nAnswer: -609259","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -83 + 218 + -33 - 33.\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 113, 248, 381, 512, 641, 768, 893?\nAnswer: 1016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -102429, -409734, -921909, -1638954, -2560869, -3687654?\n\"Answer: -102435*k**2 + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the first derivative of 4331*k**2\/2 - 3304*k + 6090. What is the derivative of j(a) wrt a?\nAnswer: 4331","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.5 (b) 2 (c) 12\/13 (d) -2\/19 (e) -0.016\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:12 PM and 10:21 PM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2057837\/54 - -1328836\/27. Let h = -386 + 11489. Let n = h - l. What is the common denominator of n and -121\/10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, l: 5, u: 3, r: 3}. Give prob of picking 2 r and 2 l.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1907763073 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in h**3 + 126*h - 1 + 3 + 578*h**2 + 590*h**2.\nAnswer: h**3 + 1168*h**2 + 126*h + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from xmjxcjjxccxxjxjc.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 13713314?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - 27 = -2*p - 3*p, 3*p = c + 13 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**2 + 3*r + 10. Let u be h(6). Is -9 at most u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000075034 rounded to seven dps?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 199744 and 1088.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, y: 3}. What is prob of picking 2 h?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/17, 1\/2, -5 in decreasing order.\nAnswer: 1\/2, -2\/17, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 2*d**2 - 3*d + 1. Let o(c) = 2*c**2 - 4*c + 1. Let r be (-1)\/4*(-3 + 19). Let y be r\/15*705\/(-94). Determine y*o(v) - 3*k(v).\nAnswer: -2*v**2 + v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**4 + 6*u - 18*u**3 - 14*u + 12*u**4 - 2*u**5 + 14*u**2 + 4*u.\nAnswer: -2*u*(u - 2)*(u - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the first derivative of -w**8\/336 - w**6\/360 - 2*w**3\/3 + 2. Let d(q) be the third derivative of c(q). What is the third derivative of d(o) wrt o?\nAnswer: -120*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 + 2*n**2 - 3*n - 2. Let b be r(-3). Let o(z) = z**3 - z + 1. Give o(b).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 673 + -65953\/98. Let c = -2\/15011 + -1831244\/735539. Let x = c - r. Calculate the common denominator of 49\/4 and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 44578 divided by -3\nAnswer: -44578\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -301, -358, -431, -526, -649?\n\"Answer: -k**3 - 2*k**2 - 44*k - 254","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6.8 and -0.0555.\nAnswer: -0.3774","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes after 2:33 AM?\nAnswer: 1:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -3551*u**3 - 5*u**2 - 2*u + 2. What is the thousands digit of b(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6.9, -0.4, 0.3, -1, -0.1, 259 in decreasing order.\nAnswer: 259, 6.9, 0.3, -0.1, -0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -26, -36, -32, -8, 42, 124, 244?\n\"Answer: x**3 + x**2 - 20*x - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*98\/518*92\/161?\nAnswer: 4\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zfeszcsexzze. What is prob of sequence fxze?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 2 - 1, 3*l + i - 33 = 0. What is the remainder when 28 is divided by l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 5*j = -729, -5 = j - 0. Calculate the remainder when z is divided by 63.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -22 - 867?\nAnswer: -1000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88*t - 40*t = 17192688. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -21 + 120*c + 6 - 197*c in the form g + p*c and give g.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22018.\nAnswer: 2, 101, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*y - 6*y - 54. Let g(s) = 3*s - 17. Let b be g(13). Suppose 25*h - y = b*h. List the prime factors of h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -33*r**3 - 1. Let n = -42 + 41. Let w be t(n). Let z be (-15)\/20 + 201\/12. Calculate the greatest common factor of z and w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 23*u - 128. Calculate the least common multiple of 2 and p(6).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2977029697 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three eighths of a century?\nAnswer: 450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j = -0*j + 5*n + 72, 0 = -2*n + 4*n + 2*n for j.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -188*i - 736 - 170 = 34 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1818 and 306?\nAnswer: 30906","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1113111 + -1332?\nAnswer: -1121103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -58585 - -58584.9599944. Let o = 1.96 + -2. Let d = o - b. What is d rounded to 6 decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(80)*-2)**2 + (sqrt(35)\/(2*sqrt(7)) - sqrt(45)*4).\nAnswer: -23*sqrt(5)\/2 + 320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 22*m - 326. Let d be r(15). Suppose -3*j - 2*l + 4*l = -12, -4*j + 5 = l. Sort -35, 1, d, j.\nAnswer: -35, 1, j, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 8*j**3 - 3*j**2 + j. Let r be o(1). Let i(t) = 487*t**3 - 13*t + 12. Let q be i(1). What is the greatest common factor of r and q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2*(3 - 9\/2). Let x(y) = 2*y + 2. Let a be x(5). Suppose 31*d - 56 - 6 = 0. Solve -4*s - a = -3*h, 3 = -s - u*h - d*h for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 26\/33 and -23\/258.\nAnswer: 2838","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -4*t**2 + 75*t - 78. Let f be y(16). Let h = -62 + 40. Let m = f + h. List the prime factors of m.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 2*s**2 - 38*s - 107. Let g be m(26). Let p = g - 2059\/8. Which is the third smallest value? (a) -11\/3 (b) 3 (c) -1\/8 (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8903? (a) -3 (b) -96.6 (c) 1 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 20 - 4)*(-4*q**5 + 2*q**4 + 2*q**3 - 2*q**3 + (0*q**4 + 2*q**4 + 0*q**4)*(2*q - 2*q - q) - q**5 - 2*q**5 + q**5).\nAnswer: -72*q**5 + 18*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**3 - 5*u**2 + 3*u + 5. Let d be a(-5). Let i(z) = -z**2 - 11*z + 3. Calculate the remainder when i(d) is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -40*o**3 - 2*o + 2*o + 0*o + 33*o**2 wrt o.\nAnswer: -240","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, f: 3, d: 4, q: 3, v: 7}. Give prob of sequence qvvf.\nAnswer: 7\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffn when three letters picked without replacement from {f: 2, r: 2, b: 4, n: 11}.\nAnswer: 11\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*h + 901 + 0*h + 874 + 26*h - 2656 + 879.\nAnswer: 32*h - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11246 is divided by 148?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = 15, -k + 15 = -0*k - 4*j. What is the derivative of n + 26 - n - 25*n**3 + 41*n**k wrt n?\nAnswer: 48*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-26)\/9 + 1 + 44\/(-396). Let x = -33 - -98\/3. Sort 0.3, x, d in ascending order.\nAnswer: d, x, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p**2 + 4*p**2 + 0*p**2)*(3 - 1 - 1) - 2 - 2*p**2 + 1 + p**2.\nAnswer: 3*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + u + 0*u = -10, -v - 5*u - 24 = 0. Suppose -v - 9 = -5*x. Suppose x*r = 7*r - 20. Solve 0*o = o - r for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7184 divided by 898.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 5*v = -21 + 7, -16 = -4*g + 4*v. Suppose g = 3*z - 10. Find the second derivative of -j**4 + 3*j**3 + 0*j**3 - z*j - 3*j**3 wrt j.\nAnswer: -12*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r = -5*d + 9, -43*r = 32*r - 13*r - 496 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -n + 9. Let v = n + -21. Let r = 10 - 3. Calculate the highest common factor of r and v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1.33, -3, -3\/2 in descending order.\nAnswer: 3, -1.33, -3\/2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -654 greater than -666?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 95971 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 196 divided by 1.\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkqikikiif. What is prob of sequence fq?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are 432416 and 432415 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p. Suppose -4*w + 0*w - 5*b = -66, -2*w + b = -26. Suppose -w = -3*s + 1. Let v(m) = -3*m + 2. What is s*i(a) + v(a)?\nAnswer: 2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7 and 3828083?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 3*g**2 - 6*g + 6. Let a = -1286 - -1288. Determine n(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(1\/3))**(-8))**(-18) assuming h is positive.\nAnswer: h**48","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1049 to the power of 1\/2, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 139*s**4 + 195.\nAnswer: 556*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the third derivative of b**5\/6 + b**4\/24 + 19*b**2. Calculate the remainder when 41 is divided by f(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -33\/280 and 83\/112.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o + o + 3*o + (1366 - 432 - 7043)*(3 - o - 3))*(0 + 0 - 2*o).\nAnswer: -12220*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4 - 1)\/((-6)\/(-4)). Let w = -14 - -16. Suppose 5*x - s*z = 445, 2*x + z = w*z + 178. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 divided by -10\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3 - (2\/1 + -1). Suppose -5 = 5*h - 3*c, 0*h + v*c = 2*h + 6. Suppose -3*o + 35 = -5*p, -4*p - 12 = 4. What is the highest common factor of h and o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 - -4.6. Let u = 2 - 4. Let q = 1.9 + u. Which is the closest to q? (a) -0.3 (b) o (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 192185163 and 5468?\nAnswer: 1367","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 685 or -42191?\nAnswer: 685","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.2 + -1.5. Let a = -1 + 1. Sort -4, a, p.\nAnswer: -4, p, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -23.6048 to one decimal place.\nAnswer: -23.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.78 + -0.22. What is the third biggest value in b, -5\/2, -0.3?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1065*x - 10241 = -398*x for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 t when three letters picked without replacement from {n: 13, t: 3}.\nAnswer: 117\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 1 (b) 4\/7 (c) -0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 + -65107872116.6?\nAnswer: -65107872091.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (((sqrt(125) - (-3 + sqrt(125) + 0 + sqrt(125)))*-6)**2 + 4)*-3.\nAnswer: -14486 + 3240*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (0 + (5 - 0))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.66683 - 0.16683. Let x = -16 + 15.1. Let s = x + -0.1. Which is the nearest to s? (a) 1\/9 (b) 1\/3 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 21 and -1262546 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 u when two letters picked without replacement from {u: 4, t: 3, v: 1, q: 2, l: 2}?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-884*n**4 + 3266661*n**2 - 3266661*n**2)*(-2 - 1 + 2) to the form z*n + w*n**4 + b + t*n**2 + s*n**3 and give w.\nAnswer: 884","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (4 + 1 + -11).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 143267?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.024 (b) 0 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dniiddnkndiennnk. Give prob of sequence nn.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 + -15 - (0 - 1)\/1. Let u = -6 - p. What is the second derivative of -u*k**4 + 42*k**4 + 49*k - 24*k wrt k?\nAnswer: 396*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.44 - -0.16. Let u = 0.24 - w. Round u to one decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*1)\/((11\/(-66))\/((-2)\/28)).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.053 - 30.947. Let d = 30.9949 + x. What is d rounded to three decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pnyy when four letters picked without replacement from pnyyppyyyypyyy.\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**3 + 25*m**2 + 119*m - 88. Let i be s(29). Let x = 0 - -2. Sort -12, i, -2, x in decreasing order.\nAnswer: x, i, -2, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 76*0.03\nAnswer: 2.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 653975\/114 + -11473\/2. What is the common denominator of 67\/228 and l?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**2 + 50*w.\nAnswer: w*(w + 50)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -354 - -354.0000209. What is k rounded to six dps?\nAnswer: 0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 - -2. Suppose 3*o + f = 5*u, 3*o - 4*u - 5 + 8 = 0. Let i be ((-28)\/(-42))\/((-2)\/15). What is the nearest to 1 in -1\/7, i, o?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63 - 34*h + 54 - 209 + 36 + 57.\nAnswer: -34*h + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (10241\/(-539) + (-3)\/7)\/2\nAnswer: -68\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -76 and -0.4.\nAnswer: 30.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -24320 + 24.147\nAnswer: -24295.853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 132720 and 9288?\nAnswer: 51362640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13387437 and 6399.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-13)*43*2054\/3397.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, e: 2, h: 2, z: 8}. Give prob of picking 1 h, 1 y, and 2 e.\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 332 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -10611, -21222, -31833?\n\"Answer: -10611*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 19*l*r**2 - l*x - 2*r**3*x + 2*r**3 - 2*r**2 + 70*r*x**2 wrt x.\nAnswer: -l - 2*r**3 + 140*r*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1851809 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1282 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 14999*n**2 - 2*n. Let u(q) = q**2 - 7*q - 2. Let g be u(7). Let s be l(g). What is s rounded to the nearest one hundred thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 3 = -4*r + 22, 0 = 4*s + 12. Let p be 1\/5 + (-39)\/(-5). What is the highest common divisor of p and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -107 + 109. Let p = -14 + 16. Suppose p = k - v. Sort 0, k, 5 in decreasing order.\nAnswer: 5, k, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*463 - (15 + -11 - 7). Suppose -5*j = -4*r + 2797, 0 = -2*r + j + 925 + i. List the prime factors of r.\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2559 - -632067\/247. Let d = -327596257376\/8645 + 37894304. Let y = u + d. Is 1 != y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -143\/54684 and 145\/192696?\nAnswer: 4046616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n = -3*i - 45, -2*i - 84033 = -5*n - 84108 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -7*o + 3*o. Suppose o*b + 4 = 36. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -33.0075 + 33. What is z rounded to three decimal places?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 162 = 99*z + 37*z - 110 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13159 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 2*f - 3. Let t be 6\/12*f*-2. Which is the nearest to -2\/3? (a) 0 (b) t (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -482 - 4*d + 1439 - 476 - 480.\nAnswer: -4*d + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 4 - 2)*(2*j**4 - 2*j**4 + j**4 + (-4*j**4 - 3*j**4 + 3*j**4)*(-5 + 1 + 5)) to g*j**3 + d + h*j + y*j**4 + x*j**2 and give y.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -16 in -2\/5, 0.3, 3\/11, -18, -1\/6?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1129*y - 50 = 1131*y, 5*y + 123 = 2*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 5.8, -16, 2\/7, 0.1, -0.2, -2\/19?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 224*s - 41902. Calculate z(185).\nAnswer: -462","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -17*d*g**4 + 26*d*g**3 - 2*d*g**2 - 23*d - 4*g**2 wrt g?\nAnswer: -408*d*g + 156*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -m**5 + 43*m**4 - 222*m**3 - 5332*m**2 - 10712*m + 16224 = 0.\nAnswer: -6, -4, 1, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 60287889 to the nearest integer?\nAnswer: 392","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 1 = -i, i - 20 = 5*i - 4*v. Let u(q) = 7 + q**2 + 1 + 9*q - 2 - 6 + 3. Give u(i).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -7*k + 209. Let l be k\/11 - 2\/11. What is the closest to 2\/7 in -1\/6, l, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (714\/(-2205))\/17*-14?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r**3\/5 - 12*r**2\/5 + 936*r - 78416\/5 = 0. Calculate r.\nAnswer: -58, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**3 + 27*d**2 + 12*d - 273. Let p be l(-26). Solve -25 = -p*z + 86*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -8*p + 2*p + p - 10*p + 12. Let g(n) = 5*n - 4. Let a(v) = 11*g(v) + 4*m(v). Find the first derivative of a(b) wrt b.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*f + 4 + 2*f + 8*f - 10*f as d*f + h and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:09 PM and 4:25 PM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 15323225?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 36300853\/792 - 91669\/2. Find the common denominator of 71\/1452 and u.\nAnswer: 8712","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100100101 - -10010?\nAnswer: 100110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**2 - 10*a - 14. Let h be p(-8). Suppose 0 = h*y - y - 5. Solve y*n - 19 = -4*l, -4*n - 4*l = -n - 13 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a year in months?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/23 in -2\/7, -0.03, 2\/9?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70\/3*u - 248\/3 - 2\/3*u**2 = 0. What is u?\nAnswer: -31, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 306316632?\nAnswer: 2, 3, 19, 191, 3517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 861, 857, 851, 843, 833, 821?\n\"Answer: -l**2 - l + 863","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 3575 = -3*w, 2*k + 3540 = 3*w - k. Suppose 5*n - 208 = o - 2*o, -w = -5*o + 4*n. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q + 9. Suppose 4*r = -i + 76, 9*r - 13*r + i = -84. Suppose 0 = -r*m - 16 + 56. What is the least common multiple of x(-9) and m?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 94.5082 - 94.3. Let x = s + 0.0918. Which is the second biggest value? (a) 0 (b) 7 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 7) + (-4 - -3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1139811.\nAnswer: 3, 23, 16519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53945*o - 340285*o + 48120*o.\nAnswer: -346110*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 56, 268, 628, 1142, 1816?\nAnswer: 2656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2163546 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.5 - -3. Which is the closest to 0? (a) 5 (b) 2\/21 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 47, 62, 77, 92, 107?\n\"Answer: 15*i + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-6*2*sqrt(10) + (sqrt(90) + -2*sqrt(90) - sqrt(90)))\/(-6*sqrt(880)\/sqrt(11)) + 1.\nAnswer: -3*sqrt(2)\/2 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 5 (b) 4 (c) -2\/5 (d) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000922900443 rounded to 7 dps?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sss when three letters picked without replacement from sssssqsssqs.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1343123 and 47024?\nAnswer: 2939","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -2*t**2 - 158*t - 4. Let y be z(-79). What is the nearest to 6 in -0.01, y, 4, -13?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -26 (base 9) to base 6.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 58200721, 58200734, 58200749, 58200766, 58200785, 58200806, 58200829?\n\"Answer: s**2 + 10*s + 58200710","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-8)\/44 - (-57)\/11. Suppose 7*f = 3*f + 2*z + 6479996, f = r*z + 1619990. What is f rounded to the nearest 100000?\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**3 - 4*j**2 + 6*j + 1. Let y be (-2)\/(-3) - 140\/(-6). Let z = -15 + y. What is the remainder when v(4) is divided by z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*a**2*c*l + 2594*a**2*c + a*c*l - 595*a*c - 2*c*l - l wrt a?\nAnswer: 4*c*l + 5188*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the second derivative of 0*k**2 + 1\/6*k**3 + 0 - 3*k. Let m(z) = -5*z. Calculate m(j(w)).\nAnswer: -5*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -67*z + 1. Let c be q(-2). Let u = -63 + c. Let r be 86\/10 + (-8)\/(-20). What is the greatest common divisor of u and r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -17) + -358 + 343 + -8 + 8 - 70\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52185 is divided by 86?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*p - 4084*u + 4088*u + 57, 0 = -u - 3 for p.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 3\/2, -8\/5, 1\/4, -25.\nAnswer: -25, -8\/5, 1\/4, 3\/2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**2 + 3*p - 38. Calculate the remainder when 63 is divided by i(-9).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*g**2 + 2 - 10*g + 17*g - 5*g + 14*g**2 - 7*g to f*g**2 + h + s*g and give s.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2507698059 to the power of 1\/7, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 26321?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 1415*y - 24. Let w(i) = 23*i - 1. Give w(z(c)).\nAnswer: 32545*c - 553","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -76873 by 659.\nAnswer: -76873\/659","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the second derivative of d**3\/2 - 3*d**2 - 6*d. Let y be f(3). Suppose y*g - 164 = -62. Does 16 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 3*y - 5*y. Suppose 2*q - y*q = -210. Suppose -2*j - q = -222. Is j a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2\/27 (b) -4.2 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 13*w + 1. Let o be y(5). Suppose 0 = -b + 2*n + 25, -5*b + 35 + o = -4*n. Let l be b\/36 + 2\/(-8). What is the closest to l in -4, -1, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, v: 4, z: 4, k: 1, n: 1, q: 7}. What is prob of picking 1 z and 2 v?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -u + 23, 0*b = 5*u - 2*b - 55. What is the remainder when u is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12785.2 - 118.93?\nAnswer: -12904.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - o + 3 = 0. Let z be 0 - o\/(-12) - 0. Which is the nearest to 1? (a) 1 (b) z (c) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 43979, 175662, 395091, 702260, 1097163, 1579794?\n\"Answer: -r**3 + 43879*r**2 + 53*r + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1270096987 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1260 + 3164. Calculate the highest common divisor of g and 336.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1057109?\nAnswer: 521, 2029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 161 = 4*t + 253, 0 = -3*z + 5*t + 123 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 + 4 = -26*i. Let h(n) = -3*n - 1. Let q(y) = -y + 1. What is i*h(o) + 3*q(o)?\nAnswer: -6*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 73265 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 56\/(-2) - (27 + -25). Let m = 4 + l. Is -5 - (m - (-2 + 4)) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**2 + 65. Let z be f(0). What is the greatest common factor of z and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/6036 and -95\/18108.\nAnswer: 18108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 - 50 = -33*j. Suppose -k - 5*w = 2, -3*w + 0*w + 3 = 2*k. Solve -k*f + j = 6 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:46 PM and 7:18 AM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 121591931 to the power of 1\/2, to the nearest integer?\nAnswer: 11027","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -221b (base 12) in base 10?\nAnswer: -3767","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 - -10121?\nAnswer: 10123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -112 (base 9) to base 4\nAnswer: -1130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -24881 (base 11) in base 5?\nAnswer: -2120123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10714 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 - 6. Suppose l*f = -13 + 76. Let h be (5 + 1)*(-7)\/f. Which is greater: -4 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4398300 divided by 12150.\nAnswer: -362","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 + -4. Let l(o) = -o - c*o + 7*o. Let v(s) = -6*s**2 + 11*s + 11. Let q(z) = 3*z**2 - 6*z - 6. Let x(y) = 11*q(y) + 6*v(y). Give x(l(w)).\nAnswer: -27*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 2*z - 16. Suppose -z*b + 350 = -246. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**2\/15 - 1546*r\/15 - 19844.\nAnswer: -2*(r + 363)*(r + 410)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 323 a factor of 78747?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*v = 33*v - 7*v + 805 for v.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 4 = 2*l + 16, -3*l - 56 = 5*w. Let t be (2\/10)\/((-6)\/l). Put -0.1, -5\/7, t in ascending order.\nAnswer: -5\/7, -0.1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*(-6)\/8)\/((-278082)\/52968).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*u**3 + 3*u**3 - 198*u**2 - 227*u**2 + 441*u**2 - 10*u**4 to q*u**3 + h*u**2 + n + a*u**4 + p*u and give a.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**2 - 7*j + 58. Let x be d(-10). Let z(v) = v**2 - 25*v - 82. What is the smallest common multiple of z(x) and 19?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 - -a4?\nAnswer: a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*s - 3 = -33*s, 0 = -3*d + 4*s + 53. Solve 2*v - 42 = -d*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 32*s**4\/5 - 1876*s**3 - 17862*s**2\/5 + 9572*s - 4130 = 0?\nAnswer: -7\/2, 5\/8, 1, 295","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -29*u**2 - 251*u + 99. Determine w(-11).\nAnswer: -649","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(-2\/15))\/(r*r**(-2))*r**7*r**(-8) assuming r is positive.\nAnswer: r**(17\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the first derivative of -4*i**3\/3 + 7*i**2\/2 - 15*i - 14. Let f(y) = y**2 - 2*y + 4. Give -22*f(h) - 6*w(h).\nAnswer: 2*h**2 + 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 33615 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**3\/23 - 4*n**2 + 86*n\/23 + 180\/23.\nAnswer: 2*(n - 45)*(n - 2)*(n + 1)\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/(-1)*26\/6. Suppose 2*s - 6 + 58 = 5*o, -56 = -3*o - 5*s. Suppose -r*a + o = -9*a. Solve -a*h + 0*h = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y + y + 4*y)*(y**3 - 6*y**3 + 3*y**3) + 11 - 11 + 7*y**4.\nAnswer: 3*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 267.\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u. Let z = -15 - -9. Let s(b) = 4*b**2 + 3. Let n(c) = -23*c**2 - 17. Let m(v) = z*n(v) - 34*s(v). What is m(p(k))?\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + n + 0*n - 4*n)*(3*n**2 + 2*n**2 + n**2).\nAnswer: -18*n**3 + 6*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3168) - (sqrt(3168)*-3 - sqrt(3168)))\/sqrt(11).\nAnswer: 60*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -13 > 184.45?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 141391, 141375, 141349, 141313, 141267, 141211?\n\"Answer: -5*i**2 - i + 141397","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Is 11925 a multiple of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -3 (b) -2\/87 (c) 10 (d) -596 (e) 1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (-4 - -8 - 2) - 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5766 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15215 and 120105?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 134\/34 + 36\/612. Let x be -1 + 0 + 9 + 1. Suppose 0 = -h + 4*t - x*t + 9, 2*t - 36 = -y*h. Solve 3*w - h = -21 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5482 - 1314. Suppose 10*x = -1598 + q. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 7*y - 3. Give b(7).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -7*t - 17. Let g(u) = 4*u - 17. Let n(f) = -22*f + 100. Let z(b) = 23*g(b) + 4*n(b). What is -3*m(k) - 5*z(k)?\nAnswer: k + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 24, 95, 226, 429, 716?\n\"Answer: 2*g**3 + 18*g**2 + 3*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9216 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5\/8 in 0, 0.1, -15\/4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 + 8. Suppose 0 = 3*n - a - 0. Solve -n*g - 13 = 3 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -101499, -405951, -913355, -1623711, -2537019, -3653279?\n\"Answer: -101476*v**2 - 24*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*y - 2*t + 5*t - 16, -4*t = 3*y - 12 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(1\/4)*x)**(-20)*(x*x**1)\/x**0)\/((((x*x**(-2\/3)\/x)\/x)\/(x**(-4)*x))\/(x*x*x*x\/(x**(-1)*x)*x*x)**(-26)) assuming x is positive.\nAnswer: x**(-541\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 444198?\nAnswer: -1\/148066","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 3650 - 2504 = 0. Suppose -c = 4*q - 2837, -5*c + q + 11150 = -v. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (-5 + sqrt(832)*-3)*-4 + (-3*sqrt(832)*2 + (2*sqrt(832) + sqrt(832) - sqrt(832)) + -5)*-2)**2.\nAnswer: 8000*sqrt(13) + 333425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(242) + -5)**2 - sqrt(242)) + -1 + sqrt(242) + 4 - (2 + -2 + (sqrt(242) + 0 + sqrt(242))**2 + 5).\nAnswer: 23 + 220*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1113 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: Calculate -8*(270\/(-936))\/(-15).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4230*q + 28 = -4232*q - 3*b, 0 = -17*q + 29*b - 28*b - 26 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -374*d*k**4 + 6*d + 10 wrt k?\nAnswer: -1496*d*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7079 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3\/329 - -16139\/1974. Calculate the common denominator of (-2)\/3 + 46\/12 and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -55 + 60. Suppose 20 = -3*d - d, 5 = -4*l - x*d. Calculate the lowest common multiple of l and 14.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.7839 and -108.\nAnswer: -84.6612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -35 (base 6) to base 9\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -665, -1333, -2003, -2675, -3349?\n\"Answer: -v**2 - 665*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10, -15, -18, -19, -18?\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zt when two letters picked without replacement from tzztzzz.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 525 = c, -3*c - 536 + 2075 = -3*n. What is c rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(-6) - (-2977)\/(-687)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 514 (base 9) to base 2\nAnswer: 110100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-1)*1\/(-2)*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32893012?\nAnswer: 2, 8223253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16 + 16 - 7 - 31*g to the form n + i*g and give i.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-20\/9)*b)\/(b\/b**(4\/23)) assuming b is positive.\nAnswer: b**(-424\/207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2747 (base 9) to base 14\nAnswer: -a7a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 17 = -b, -3*b - 2 = -b - 3*p. Suppose -b*t - 204 = -1379. What is the units digit of t\/2 - 3\/(-18)*3?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 1 - 1 = 0. Let l be -1 - (2 + -2 + r). Suppose 2*x - 5*p = l, 3*x - 4*x + 22 = 3*p. Solve 0 = -2*m - 0*m - x for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5004.9 rounded to the nearest 10?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(931) - (sqrt(931) - -6*(sqrt(931) + -2)**2) - (sqrt(931)*-2*-3)**2) + (-2*sqrt(171) - sqrt(171))**2 + (sqrt(1539))**2*2.\nAnswer: -34509 + 168*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1497 + 1370 - 1146 = -63*g - 2563 for g.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 260371 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 8*w**2 - 19*w - 49. Give i(-7).\nAnswer: 476","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -56 + 89. Let b = 33 - w. Suppose 2*n - 264 = -3*n - 4*v, b = -3*v - 12. List the prime factors of n.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) -0.4 (c) -60 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 + 8\/(-4) + 58. Let z = o - 19. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -14 - -1?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 + 5)*(-2*t**5 - 5*t**5 - t**5).\nAnswer: -56*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 96\/126 + 6\/(-14). Let m = -0.3 + 0.2. Which is the closest to m? (a) -5 (b) -2 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 6*y. Let u(v) = 0 + y + v**2. Let r(x) = 2*x**2 + 8*x + 8. Let f(s) = s**2 + 3*s + 3. Let a(c) = -8*f(c) + 3*r(c). What is u(a(b))?\nAnswer: 4*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1989, -7931, -17955, -32193, -50777, -73839?\nAnswer: -101511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14322120 (base 5) to base 13.\nAnswer: -53c87","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 8 = -2*p. Let s be (p\/(-12))\/(3\/(-74577)). Let r = s + 4134. What is the common denominator of -89\/4 and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.7 and -173.9.\nAnswer: 121.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -364464, -363807, -363150?\n\"Answer: 657*v - 365121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/4)\/((-7)\/(-20)*74\/(-259)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4347313*q - 2173077*q - 2173467*q + 1 - 1.\nAnswer: 769*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 + -1. Let f(a) = -3*a - 3. Suppose -4*g - 4*m = 20, 0*g + 3*g + 4*m = -17. Let j be f(g). Calculate the highest common factor of j and r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-51 - (71 - 109)) + 109?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 2*p + 5. Let i(x) = 4*x - 5. Let y(f) = f - 1. Let l(k) = -2*i(k) + 7*y(k). Let n be l(7). Determine r(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-110)\/(-4)*4862\/85?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - ((16 + -19 - -6) + (0 - 3))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 106*i**4 + i**2 - 1494?\nAnswer: 424*i**3 + 2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5 + -5 - 5 - -137. Suppose 2*z - r = 2*s, -3*s = 4*z + 2*s - 309. What is the remainder when z is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -26*k**3 - 23*k**2 - 17. Let y(i) = -9*i**3 - 8*i**2 - 6. Calculate -6*g(w) + 17*y(w).\nAnswer: 3*w**3 + 2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*f + 5*l + 136 = 0, -4*f - 19*l - 68 = -23*l for f.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -421 - -476. Does 6 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 0 (b) 3 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2\/17)\/t**6)\/((t\/(t\/(t**(3\/13)*t)))\/t)**(-34) assuming t is positive.\nAnswer: t**(382\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = r + 2*k - 129, -5*k = 5. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1148849, 1148838, 1148821, 1148798, 1148769, 1148734?\nAnswer: 1148693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 11972292?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - 2*l = -20, 2*x + 3*l - 63 = -45 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11 and (78\/91)\/((-2)\/(-14)).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.5 - 0.5. Let m = g + -1. Let z = -7 + 12. Put m, z, 2\/13 in increasing order.\nAnswer: m, 2\/13, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 321979486 a multiple of 77?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 4732*f. Let h(m) = -4*m - 19. Determine s(h(p)).\nAnswer: -18928*p - 89908","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -12, -122, -338, -666, -1112, -1682?\n\"Answer: -b**3 - 47*b**2 + 38*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1368d (base 14) in base 12?\nAnswer: -238b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 266\/((-83)\/(5146\/(-217)))\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 31315 and 175?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17973 = -6*n + 11037. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 8*c = 10. Suppose x + 10 = 11. Sort x, c, 3 in ascending order.\nAnswer: x, c, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, 2, 0.4, -5, -219652\/21, 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - -20) + -3 + -10 + 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 18 - 8. What is the remainder when 25 is divided by a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i - i + 2*i)*((3*i - 3*i - i)*(80 + 42 - 42)*(0 + 3 - 2) + (5 + i - 5)*(4 - 4 - 2)) + i**2 + i**2 - 3*i**2 + (5*i - 2*i - i)*(-3*i + 3*i + i).\nAnswer: -163*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5734 divided by 49.\nAnswer: -5734\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*x**2 + 78787933*x**3 + 5*x**2.\nAnswer: 78787933*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 1. Let o(j) = 7*j**2 + 5. Let n(t) = -o(t) + 5*y(t). Let r(k) = k**2. Determine r(n(z)).\nAnswer: 49*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -112 + 109. Let l(z) = -7*z**2 - 2*z**3 + 6*z**2 - 5*z**2 + 3*z**2 + 2*z - 2. What is the units digit of l(n)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10013*22\/836*(-4)\/(-34)\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the third derivative of 0*q - 235\/6*q**3 + 0*q**6 + 16\/105*q**7 + 0 + 0*q**5 + 90*q**2 + 0*q**4. What is the derivative of t(l) wrt l?\nAnswer: 128*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -13*v**2. Let t(s) = 55*s - 1. Give a(t(b)).\nAnswer: -39325*b**2 + 1430*b - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6884?\nAnswer: 2, 1721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 278 - 2 = -69*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the third derivative of -11\/12*u**6 + 0*u**4 + 5*u**2 + 9 + 1\/60*u**5 + 0*u - 85\/6*u**3. Differentiate l(c) with respect to c.\nAnswer: -330*c**2 + 2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + 6. Let z = u + -5. Let l = -0.04 - -2.04. Is l < z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4292296400?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 26 = -4*j, -j - 5*i - 5 = -3. What is the highest common divisor of j and 80?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + 1 + -63 + 67 - -3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 53 - 53. Suppose -z = -y*i - 3*i - 14, 3*i = 5*z - 94. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 9*u = -4*i - 3838164, -5*i = -u - 959535. Round u to the nearest one hundred thousand.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d - 2*d - 2*d)*(5*d**4 - 71*d**2 + 71*d**2 + (-4 + 4 - 2*d**3)*(0*d + 56*d + 0*d)).\nAnswer: 214*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:35 PM and 9:35 PM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4440 = -177*q + 547*q for q.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes before 9:25 AM?\nAnswer: 11:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-1372)\/(-6))\/((-316)\/(-19)). Let y = a + 20\/237. Let l = -598\/3 + 197. What is the common denominator of y and l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 890\/1958*((-3528)\/(-70))\/(-21)\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/108 and 77\/405.\nAnswer: 1620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((((-12)\/2)\/2)\/5)\/(87\/(-58)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 64*k**2 - 1. Let u be c(-2). Suppose -5*z + 200 = -u. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -10*f**2. Let c(t) = 274073*t**2. Determine c(p(r)).\nAnswer: 27407300*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 49897130 to the power of 1\/3, to the nearest integer?\nAnswer: 368","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**2 - 2*a + 19. Let r be (-1)\/2 + (-5)\/(-10). What are the prime factors of w(r)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t + 2*r + 80, 3*r + 54 = 4*t - 22. Calculate the highest common factor of 22 and t.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1458?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -244 + 73. Let a = s - -170.5. Put a, 0.1, -1.8 in decreasing order.\nAnswer: 0.1, a, -1.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 5*h - 42. Let x be (0 - 24) + 12\/15*5. Let f be -10*(-5)\/10*(-36)\/x. Let i be n(f). Solve -i*l - l = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 8*q + 0*q - 4*q - 5*q. Let c(u) = -u - 1. Let b(a) = -5 + 2*a**2 - a**2 - 3*a**2 - 5*a. Let o(y) = b(y) - 5*c(y). What is l(o(g))?\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 3*u**2 + 1. Let t be o(-1). Let z(n) = -536*n - 7 + 160*n + 216*n + 161*n. Determine z(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11861.310702 take away 0.4?\nAnswer: -11861.710702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88 = -125*j + 124*j. Sort 2, 8, -2, j, -6.\nAnswer: j, -6, -2, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 + 2. Let m = -194.2 - 43.8. Let p = 213 + m. Is a smaller than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 273959842?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/((-30)\/(-4))*1?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/198 and (-8)\/48 - 3432\/7623.\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d\/(((d*d**(-3)*d*d)\/d)\/d)))**(-2)\/(d\/(d\/d**(8\/3))*d**(-7)) assuming d is positive.\nAnswer: d**(25\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 1 = 10. Let v = 5 + -3. Suppose 0*l + v = l. Solve b = -l*n - n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -782708, -782705, -782696, -782681, -782660, -782633?\nAnswer: -782600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -223344, -219089, -214846, -210621, -206420, -202249?\n\"Answer: -d**3 + 4262*d - 227605","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11615 - 10335. What is the remainder when 2564 is divided by z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -2*b**5 + 702*b**4 + 10076*b**3 + 52240*b**2 + 116544*b + 93440 = 0?\nAnswer: -4, -2, 365","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(228) + (sqrt(228) - 2*sqrt(228))))\/sqrt(12).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70) + (sqrt(70)*2 + sqrt(70) + sqrt(70))*-3 + sqrt(70))\/sqrt(10) + (-5 + (sqrt(28) - sqrt(252)))**2.\nAnswer: 30*sqrt(7) + 137","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -26*z. Let h(i) = 13*i. Suppose 0 = -4*s - 25 + 5. Let p(v) = s*h(v) - 3*y(v). Let f(x) = -2*x**2 + 5*x**2 - x**2. Calculate p(f(k)).\nAnswer: 26*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5702 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:46 PM and 6:42 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1001 a factor of 46615569?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes before 3:19 PM?\nAnswer: 3:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -5*s + 24, 2*l = s - 2*l + 4. Suppose 4*a = a. Suppose -o - o + 12 = a. What is the lowest common multiple of o and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 16*k - 1 + 11 - 9*k + 2*k + 0*k. Calculate s(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 86.43005 micrograms to grams.\nAnswer: 0.00008643005","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11670 and 275999390.\nAnswer: 3890","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 + 0 + (-3)\/(-27)*-9. Which is the nearest to -4? (a) -1\/25 (b) 0 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j = 28*j - 4902. Let f = 519\/2 - j. What is the second biggest value in 0.019, 0.4, f, 0.3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47027 is divided by 134.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.5 - 0. Let h = 6 + -5. Sort n, h, 2 in descending order.\nAnswer: 2, h, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1056*j**2 + 777*j**2 + 939*j**2.\nAnswer: 2772*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1374*x**5 + 1031*x**2 wrt x.\nAnswer: -82440*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5751 - 1886. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 91, 10, -5.1, -5?\nAnswer: -5.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 20 = 4*i. Suppose -i*q - v = -478, -3*v - 66 + 191 = q. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2348 divide 311586644?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.8 + 0.2. Let t = -1.9 + -0.1. Let q = 2.938 + -3.338. What is the third biggest value in q, o, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1925191 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 1 = -2*y. Let a = y + 9. Solve 3*z - h - 22 = -5*h, 4*h - a = 4*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08643 times 68?\nAnswer: 5.87724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -20586 + 39887. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -94 divided by -2290016.\nAnswer: 47\/1145008","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 376009.6ml?\nAnswer: 376.0096","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 238627 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 12629 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i*i*i\/i**8*i)\/i*i)\/(i\/(i\/(i*i\/(i*i**24)*i*i*i)*i*i)))\/(i**22\/(i**10\/i)))**(2\/49) assuming i is positive.\nAnswer: i**(10\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1765774537 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 34*s**3 - 228615180*s**2 + 384300725716992*s + 45211853248576 = 0?\nAnswer: -2\/17, 3361988","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-3)\/((-30)\/256))\/(150\/375). Suppose 16*t + 80 = h. Which is smaller: -3\/317 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 m when two letters picked without replacement from {m: 4, t: 4, v: 2}.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -79*b + 189*b + 16 + 99*b.\nAnswer: 209*b + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -3*u + 11, 0 = 4*u - j + 6*j - 30. What is the tens digit of 4\/u - 1862\/(-35)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13 - 14. Let s(t) = -t - 13. Let p be s(-10). Which is the second biggest value? (a) 0.1 (b) i (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8 + 0 + 0 - 4 + 2 + 4 + (1 + 1 - 3)*(-12 - 6 - 4))*(-2 - 2*q + 2) as g*q + d and give g.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 1628*r - 3303. Let c be u(2). Let t be ((-2)\/(-15))\/(3\/(-1065)). Which is bigger: c or t?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -11*n. Let w(i) = 4*i**2 + 7. Suppose 4*q - 25 = -9. Let y(t) = 2*t**2 + 4. Let j(c) = q*w(c) - 7*y(c). Calculate h(j(d)).\nAnswer: -22*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2971921 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a kilometer in meters?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 59.1 - 58.7. What is the nearest to 40 in 2, 1, p?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 22, 17, 5, -1, 1 in descending order.\nAnswer: 22, 17, 5, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 + -2)*(-18)\/1. Suppose 0*q + 3*q = 36. Calculate the greatest common divisor of c and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}